Hochgeladen von Nutzer6865

Masterthesis Barreto Abel

Werbung
❆❜❡❧ ❆♥❞r❡❡✱ ❇❛rr❡t♦ ❆❧❝á♥t❛r❛
▼❛tr✐❝✉❧❛t✐♦♥ ♥✉♠❜❡r✿ ✷✶✻✷✸✼✶✾
❉❡t❡❝t✐♦♥ ❛♥❞ q✉❛♥t✐❢✐❝❛t✐♦♥ ♦❢
❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥ s✉❣❛r ❜❡❡t ❢r♦♠
❧❡❛✈❡s ❛♥❞ r♦♦ts ❤②♣❡rs♣❡❝tr❛❧
✐♠❛❣❡s ♦♥ s✐♥❣❧❡ ♣❧❛♥t s❝❛❧❡
❚❤❡s✐s t♦ ♦❜t❛✐♥
t❤❡ ▼✳❙❝✳ ❞❡❣r❡❡ ✐♥ ❆❣r✐❝✉❧t✉r❛❧ ❙❝✐❡♥❝❡s
❛t t❤❡ ❋❛❝✉❧t② ♦❢ ❆❣r✐❝✉❧t✉r❛❧ ❙❝✐❡♥❝❡s✱
●❡♦r❣✲❆✉❣✉st✲❯♥✐✈❡rs✐t② ●ött✐♥❣❡♥✱ ●❡r♠❛♥②
❙t✉❞② ♣r♦❣r❛♠♠❡✿ ❈r♦♣ s❝✐❡♥❝❡s✱
◆✉t③♣✢❛♥③❡♥✇✐ss❡♥s❝❤❛❢t❡♥
✶✳ ❙✉♣❡r✈✐s♦r✿ Pr♦❢✳ ❉r✳ ❆♥♥❡✲❑❛tr✐♥ ▼❛❤❧❡✐♥
✷✳ ❙✉♣❡r✈✐s♦r✿ Pr♦❢✳ ❉r✳ ▼❛r❦ ❱❛rr❡❧♠❛♥♥
❙✉❜♠✐ss✐♦♥ ❞❛t❡✿ ✸✶✳ ❏❛♥✉❛r② ✷✵✶✾
❆❝❝♦♠♣❧✐s❤❡❞ ❛t t❤❡ ■♥st✐t✉t❡ ♦❢ ❙✉❣❛r ❇❡❡t ❘❡s❡❛r❝❤ ✭■❢❩✮
❈♦♥t❡♥ts
✶ ■♠♣♦rt❛♥t ❛❜❜r❡✈✐❛t✐♦♥s
✶
✷ ■♥tr♦❞✉❝t✐♦♥
✷✳✶ ❚❤❡ s✉❣❛r ❜❡❡t ❝r♦♣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✷✳✷ P❧❛♥t ♣r♦t❡❝t✐♦♥ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ ❝r♦✇♥ ❛♥❞ r♦♦t r♦t ✳ ✳ ✳ ✳ ✳
✷✳✸ ❈♦♥✈❡♥t✐♦♥❛❧ ❞✐❛❣♥♦s✐s ❛♥❞ ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ❘♦♦t ❘♦t
✷✳✹ ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✷✳✺ ❉❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❜② ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ✳ ✳
✷✳✻ ❖❜❥❡❝t✐✈❡ ♦❢ t❤❡ st✉❞② ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
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✻
✼
✳
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✳
✸ ▼❛t❡r✐❛❧ ❛♥❞ ♠❡t❤♦❞s
✸✳✶ ❇✐♦❧♦❣✐❝❛❧ ♠❛t❡r✐❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✶✳✶ P❧❛♥t ♠❛t❡r✐❛❧ ♣r♦❞✉❝t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✶✳✷ ❋✉♥❣❛❧ ❛❣❡♥t ❛♥❞ ♣❧❛♥t ✐♥♦❝✉❧❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷ ❊✈❛❧✉❛t✐♦♥ ♦❢ s✉❣❛r ❜❡❡t ❧❡❛✈❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✶ ▲❡❛❢ r❡✢❡❝t❛♥❝❡ ♠❡❛s✉r❡♠❡♥ts ❛♥❞ ❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❛❝✲
q✉✐s✐t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✷ ❉✐s❡❛s❡ r❛t✐♥❣ ❞✉r✐♥❣ ♣❛t❤♦❣❡♥ ❞❡✈❡❧♦♣♠❡♥t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✸ ■♠❛❣❡✲❛❝q✉✐r✐♥❣ ❞❡✈✐❝❡ ❛♥❞ s②st❡♠ ❢♦r ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ♠❡❛✲
s✉r❡♠❡♥ts ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✹ ▲❡❛❢✲✐♠❛❣❡ ♣r♦❝❡ss✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✺ Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢♦r ❤❡❛❧t❤② ❛♥❞ ❞✐s❡❛s❡❞ ❧❡❛❢✲
r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✻ ❙❡❧❡❝t✐♦♥ ♦❢ r❡❧❡✈❛♥t r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✼ ❙t❛t✐st✐❝❛❧ ❛♥❛❧②s✐s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✷✳✽ ❙✉♣♣♦rt ✈❡❝t♦r ♠❛❝❤✐♥❡ ❢♦r ❝❧❛ss✐✜❝❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸ ❇❡❡t ❡✈❛❧✉❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✶ ❍❛r✈❡st✐♥❣ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✷ ❇❡❡t ❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❛❝q✉✐s✐t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✸ ❇❡❡t✲✐♠❛❣❡ ♣r♦❝❡ss✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✹ Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢♦r ❤❡❛❧t❤② ❛♥❞ ❞❛♠❛❣❡❞ ❜❡❡t
t✐ss✉❡ ♣✐①❡❧s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✺ ■♥❞❡① ❢♦r ❜❡❡t t✐ss✉❡ st❛t❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✻ ❍②♣❡rs♣❡❝tr❛❧ r❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✸✳✸✳✼ ◆♦♥✲✐♠❛❣✐♥❣ ❡✈❛❧✉❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
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✶✵
✶✵
✶✷
✶✸
✶✸
✶✸
✶✺
✶✺
✶✺
✶✺
✶✼
✶✼
✶✼
✶✽
✹ ❘❡s✉❧ts
✶✾
✹✳✶ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ♦♣t✐❝❛❧ ♣r♦♣❡rt✐❡s ♦❢ s✉❣❛r ❜❡❡t ❧❡❛✈❡s ✳ ✳ ✶✾
✹✳✶✳✶ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❞✐s❡❛s❡ s❡✈❡r✐t② ❛♥❞ s②♠♣t♦♠s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✾
✹✳✶✳✷ ❖♣❡r❛t✐♦♥ ❛❞❥✉st♠❡♥t ❛♥❞ ♠❡t❤♦❞ ❢♦r s♣❡❝tr❛❧ ❛ss❡ss♠❡♥t
♦♥ ❧❡❛✈❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✵
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❈♦♥t❡♥ts
✹✳✶✳✸ ❈♦♥s❡q✉❡♥❝❡s ♦❢ s✉❣❛r❜❡❡t ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ ✐♥t❡r❛❝t✐♦♥ ♦♥
r❡❢r❛❝t✐✈❡ ♣r♦♣❡rt✐❡s ♦❢ ❧❡❛✈❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✶✳✹ ■♠♣♦rt❛♥t s♣❡❝tr❛❧ r❡❣✐♦♥s ❢♦r ❘❤✐③♦❝t♦♥✐❛ ❞❡t❡❝t✐♦♥ ❢r♦♠
❧❡❛✈❡s r❡✢❡❝t❛♥❝❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✶✳✺ ▼♦❞❡❧s ❢♦r ❘❤✐③♦❝t♦♥✐❛ ❞❡t❡❝t✐♦♥ ❢r♦♠ ❧❡❛✈❡s r❡❢r❛❝t✐✈❡ ♣r♦♣✲
❡rt✐❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✷ ❊✛❡❝ts ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ✈✐s✉❛❧ ❛♥❞ s♣❡❝tr❛❧ ❝❤❛r❛❝t❡r✐st✐❝s ♦❢ s✉❣✲
❛r❜❡❡t r♦♦ts ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✷✳✶ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s❝♦r✐♥❣ ♦❢ s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡ ✳ ✳
✹✳✷✳✷ ❖♣❡r❛t✐♦♥ ❛❞❥✉st♠❡♥t ❛♥❞ ♠❡t❤♦❞ ❢♦r ❜❡❡ts ❡✈❛❧✉❛t✐♦♥ ✳ ✳
✹✳✷✳✸ ■♠❛❣❡ ♣r♦❝❡ss✐♥❣ ♠❡t❤♦❞ ❢♦r r♦♦ts ❡✈❛❧✉❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✷✳✹ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ r♦♦ts r❡✢❡❝t❛♥❝❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✷✳✺ ❘❡❧❡✈❛♥t ❜❛♥❞s ❛♥❞ ✐♥❞❡①❡s ❢♦r ❤❡❛❧t❤ st❛t❡ ♦❢ ❜❡❡t t✐ss✉❡ ✳
✹✳✷✳✻ ❍②♣❡rs♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s❝♦r✐♥❣ ❢♦r s✉r❢❛❝❡ ❛♥❞
✐♥♥❡r t✐ss✉❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✷✳✼ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ❜❡❡t ❜r❡✐ r❡✢❡❝t❛♥❝❡ ✐♥ t❤❡ ❱■❙◆■❘
❛♥❞ ❙❲■❘ r❡❣✐♦♥s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✺ ❉✐s❝✉ss✐♦♥
✺✳✵✳✶
✺✳✵✳✷
✺✳✵✳✸
✺✳✵✳✹
❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ♠❡t❤♦❞s ❢♦r ❧❡❛❢ ❛♥❞ ❜❡❡t ❡✈❛❧✉❛t✐♦♥
❘❤✐③♦❝t♦♥✐❛ ❛♥❞ s✉❣❛r ❜❡❡t r❡✢❡❝t❛♥❝❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❊❛r❧② ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❙✉✐t❛❜✐❧✐t② ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❜② ✐♠❛❣✐♥❣ ✳ ✳ ✳
✷✸
✷✼
✸✼
✹✶
✹✶
✹✸
✹✹
✹✺
✹✼
✹✽
✹✾
✺✶
✺✶
✺✶
✺✷
✺✸
✻ ❈♦♥❝❧✉s✐♦♥
✺✺
✼ ❆❜str❛❝t
✺✻
✽ ❆♣♣❡♥❞✐①
✻✺
❆❝❦♥♦✇❧❡❞❣❡♠❡♥ts ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✵✾
❉❡❝❧❛r❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✶✷
■■■
▲✐st ♦❢ ❋✐❣✉r❡s
✷✳✶ ✧❙♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡ s✐❣♥❛t✉r❡✧ ♦❢ s✉❣❛r✲❜❡❡t ❝❛♥♦♣② ✐♥ t❤❡ ✈✐s✐✲
❜❧❡✭❱■❙✮ ❛♥❞ ♥❡❛r✲✐♥❢r❛r❡❞✭◆■❘✮ ❡❧❡❝tr♦♠❛❣♥❡t✐❝ s♣❡❝tr✉♠ ✳ ✳ ✳ ✳
✸✳✶
✸✳✷
✸✳✸
✸✳✹
✸✳✺
✸✳✻
❚✐♠❡ ❧✐♥❡ ✐♥ r❡❧❛t✐♦♥ ✇✐t❤ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡✲s❝❛♥♥✐♥❣✲❞❛t❡s
❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ s②st❡♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
▲♦❣✐❝❛❧ ♦♣❡r❛t✐♦♥ ✧❖❘✧ ❢♦r ❞♦✉❜❧❡✲♠❛s❦✐♥❣ ✳ ✳ ✳ ✳ ✳ ✳ ✳
Pr♦❝❡❞✉r❡ ♦❢ ✈❛r✐❛❜❧❡ s❡❧❡❝t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❉❛t❛ ♣r❡♣r♦❝❡ss✐♥❣ ❢♦r P❈❆ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❘❡❢❡r❡♥t✐❛❧ ❢r❡q✉❡♥❝② ❣r❛♣❤ ♦❢ Btsi✲✈❛❧✉❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✹✳✶
✹✳✷
✹✳✸
✹✳✹
✹✳✺
✹✳✻
✹✳✼
✹✳✽
✹✳✾
✹✳✶✵
❘❛t✐♥❣ ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❛❜♦✈❡❣r♦✉♥❞ ❧❡❛❢ s②♠♣t♦♠s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✾
■♥❞❡① ♣❡r❢♦r♠❛♥❝❡ ❢♦r s❡❧❡❝t✐♦♥ ♦❢ ❝❛♥♦♣②✲♣✐①❡❧s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✵
■♥❞❡① ♣❡r❢♦r♠❛♥❝❡ ❢♦r s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ✳ ✳ ✳ ✳ ✳ ✷✵
P❡r❢♦r♠❛♥❝❡ ♦❢ ❉♦✉❜❧❡ ▼❛s❦ ✇✐t❤ ❛ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t ✳ ✳ ✷✶
■♠❛❣✐♥❣✲♠❡t❤♦❞ ❢♦r ❧❡❛❢✲❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❝✉❜❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✷
▲❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✹
❋✐rst ❞❡r✐✈❛t✐✈❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✺
❙❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✻
❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✽
❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✐♥✲
❢♦r♠❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✵
❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡
✐♥❢♦r♠❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✶
❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t ✺✽✽ ♥♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✸
❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t ✼✶✹ ♥♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✹
❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t ✼✶✼ ♥♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✺
❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t ✼✾✺ ♥♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✻
P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❛❧❧
❜❛♥❞s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✽
P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ s❡✲
❧❡❝t❡❞ ❜❛♥❞s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✾
❚❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ ✈❛❧✉❡s ✳ ✳ ✳ ✹✵
❆✈❡r❛❣❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❛t t✇♦ ❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣
❞❛t❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✶
❆✈❡r❛❣❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❡①♣r❡ss❡❞ ✐♥ ♣❡r❝❡♥t ❛t t✇♦
❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣ ❞❛t❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✷
❆✈❡r❛❣❡ ♦❢ ✈✐s✉❛❧ r❛t✐♥❣ ❢♦r ❞❛♠❛❣❡❞ ✐♥♥❡r t✐ss✉❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✷
❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♣✐①❡❧s ✐♥ ❛ t❤r❡❡✲ ❛♥❞ ❢♦✉rt❤✲♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲
❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s ❞✐st❛♥❝❡✳ ◆✉♠❜❡r ♦❢
♣❧♦tt❡❞ ♣♦✐♥ts = ✷✻✵✵✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✸
■♠❛❣✐♥❣✲♠❡t❤♦❞ t♦ ❡①tr❛❝t r❡❧❡✈❛♥t ✐♥❢♦r♠❛t✐♦♥ ❢r♦♠ ❜❡❡t✲❤②♣❡rs♣❡❝tr❛❧
❞❛t❛ ❝✉❜❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✹✹
✹✳✶✶
✹✳✶✷
✹✳✶✸
✹✳✶✹
✹✳✶✺
✹✳✶✻
✹✳✶✼
✹✳✶✽
✹✳✶✾
✹✳✷✵
✹✳✷✶
✹✳✷✷
✹✳✷✸
■❱
✳
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✶✶
✶✷
✶✹
✶✻
✶✽
▲✐st ♦❢ ❋✐❣✉r❡s
✹✳✷✹
✹✳✷✺
✹✳✷✻
✹✳✷✼
✹✳✷✽
❆✈❡r❛❣❡ ♦❢ ❱■❙◆■❘✲r❡✢❡❝t❛♥❝❡ ❢r♦♠ s✉r❢❛❝❡ ❜❡❡t t✐ss✉❡ ✳ ✳
❆✈❡r❛❣❡ ♦❢ ❱■❙◆■❘✲r❡✢❡❝t❛♥❝❡ ❢r♦♠ ✐♥♥❡r ❜❡❡t t✐ss✉❡ ✳ ✳ ✳
❆✈❡r❛❣❡ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ s✉r❢❛❝❡ t✐ss✉❡
❆✈❡r❛❣❡ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ ✐♥♥❡r t✐ss✉❡ ✳
❆✈❡r❛❣❡ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ❜❡❡t✲❜r❡✐ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
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✽✳✶ ◗✉❛❧✐t② t❡st ♣✐❝t✉r❡ ♦❢ ❘✳s♦❧❛♥✐ ✐s♦❧❛t❡✭❆● ✷✲✷■■■❇✮ ✐♥ ❛ P❉❆ ❝✉❧t✉r❡✳
✽✳✷ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ r❡✢❡❝t❛♥❝❡
✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲
❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s ❞✐st❛♥❝❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✸ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ ✜rst✲
❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✹ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ s✉r❢❛❝❡
t✐ss✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✺ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ✐♥ ❘●❇ ✐♠❛❣❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✻ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✽✻✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✼ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✽✾✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✽ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✷✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✾ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✺✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✵ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✽✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✶ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✵✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✷ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✸✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✸ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✻✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✹ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✺✽✽✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✺ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✶✹✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✻ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✶✼✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✼ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✺✲♥♠✲❜❛♥❞✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✽ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✾ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✵ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✶st✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s ✳ ✳ ✳ ✳
❱
✹✺
✹✻
✹✽
✹✾
✺✵
✻✺
✼✶
✼✹
✼✽
✽✹
✽✺
✽✺
✽✻
✽✻
✽✼
✽✼
✽✽
✽✽
✽✾
✽✾
✾✵
✾✵
✾✶
✾✷
✾✸
▲✐st ♦❢ ❋✐❣✉r❡s
✽✳✷✶ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✷♥❞✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s ✳ ✳ ✳ ✳
✽✳✷✷ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✷♥❞✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s ✳ ✳ ✳ ✳
✽✳✷✸ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✹✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✹ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✼✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✺ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✼✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✻ ■♥❞❡①✲✐♠❛❣❡ ❢♦r t❤❡ ❜❡❡t s❡❣♠❡♥t❛t✐♦♥ ✭❇s✐✮ ♦❢ ❛ ❝♦♥tr♦❧ s❛♠♣❧❡✳ ✳
✽✳✷✼ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ s✉r❢❛❝❡
t✐ss✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✽ ❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♠❛♥✉❛❧ s❡❧❡❝t❡❞ ♣✐①❡❧s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡ ❜❡t✇❡❡♥ ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲s✉r❢❛❝❡✲t✐ss✉❡✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✾ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ ✐♥♥❡r
t✐ss✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✸✵ ❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♠❛♥✉❛❧ s❡❧❡❝t❡❞ ♣✐①❡❧s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡ ❜❡t✇❡❡♥ ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲✐♥♥❡r✲t✐ss✉❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✸✶ ❍②♣❡rs♣❡❝tr❛❧ ♣✐①❡❧ ❝❧❛ss✐✜❝❛t✐♦♥ ♦❢ ❛♥ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❢♦r s✉r✲
❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡✱ ❛♥❞ t❤❡ r❡s♣❡❝t✐✈❡ ❘❘❈❘✲r❛t✐♥❣✳ ✳ ✳ ✳ ✳ ✳ ✳
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✾✹
✾✺
✾✻
✾✼
✾✽
✾✾
✶✵✵
✶✵✶
✶✵✸
✶✵✹
✶✵✻
▲✐st ♦❢ ❚❛❜❧❡s
✸✳✶ ❚❡❝❤♥✐❝❛❧ s♣❡❝✐✜❝❛t✐♦♥s ♦❢ t❤❡ ❙♣❡❝✐♠ ■◗ ❝❛♠❡r❛ ❛♥❞ r❡❝♦r❞❡❞ ✐♠❛❣❡s ✶✵
✽✳✶ ❙❝❛❧❡ ✉s❡❞ ❢♦r ❛ss❡ss✐♥❣ ❘❘❈❘ ❞✐s❡❛s❡ s②♠♣t♦♠s ♦♥ ❧❡❛✈❡s ✳ ✳ ✳ ✳
✽✳✷ ❙❝❛❧❡ ✉s❡❞ ❢♦r ❛ss❡ss✐♥❣ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s②♠♣t♦♠s ✳ ✳ ✳ ✳ ✳ ✳
✽✳✸ ❈♦♠♣❡♥❞✐✉♠ ♦❢ ✐♥❞❡①❡s r❡❧❛t❡❞ t♦ ✐♥ ❱■❙✲ ❛♥❞ ◆■❘✲r❡❣✐♦♥ ♦❢ t❤❡
s♣❡❝tr✉♠✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✹ ■♥❞❡①✲♣❡r❢♦r♠❛♥❝❡ t♦ s❡❣♠❡♥t ❝❛♥♦♣②✲ ❛♥❞ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ✳ ✳
✽✳✺ P❡r❢♦r♠❛♥❝❡ ♦❢ ❛ ❉❱■✲✱ ❖❙❆❱■✲ ❛♥❞ ❞♦✉❜❧❡✲♠❛s❦ t♦ s❡❣♠❡♥t ❝❛♥♦♣②✲
❛♥❞ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✻ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ t❤✐r❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ ❜❛❝❦❣r♦✉♥❞ ❛♥❞ ❜❡❡t P❈❆✲❛♥❛❧②s✐s✱
❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✼ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s
♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡
❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✽ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ s❡❝♦♥❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s
♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✹ ❞❛✐✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡
❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✾ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✵ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ s❡❝♦♥❞✲
❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✶ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ s❡❝♦♥❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✷ ❞❛✐✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✷ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡
♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱
❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✸ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡
♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✹ ❞❛✐✱
❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
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✻✺
✻✻
✻✼
✻✽
✻✾
✼✵
✼✷
✼✸
✼✺
✼✻
✼✼
✼✾
✽✵
▲✐st ♦❢ ❚❛❜❧❡s
✽✳✶✹ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡
♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✷ ❞❛✐✱
❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✺ ◆♦r♠❛❧✐t② t❡st ♦❢ t❤❡ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s✳ ✳
✽✳✶✻ ❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ❜❡t✇❡❡♥ t❤❡ ✜rst✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s ❜②
t❤❡ P❡❛rs♦♥ ❛♥❞ ❑❡♥❞❛❧❧ ♠❡t❤♦❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✼ ❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ❜❡t✇❡❡♥ t❤❡ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s
❜② t❤❡ P❡❛rs♦♥ ❛♥❞ ❑❡♥❞❛❧❧ ♠❡t❤♦❞✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✽ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ P❈❆✲❛♥❛❧②s✐s ❢♦r ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲
♣✐①❡❧s ❛s ♦❜s❡r✈❛t✐♦♥s ♦♥ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡
❛❜s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✶✾ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ P❈❆✲❛♥❛❧②s✐s ❢♦r ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲
♣✐①❡❧s ❛s ♦❜s❡r✈❛t✐♦♥s ♦♥ t❤❡ ✐♥♥❡r t✐ss✉❡✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜✲
s♦❧✉t❡ ✈❛❧✉❡s✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✵ ❍②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ❢♦r t❤❡ ❜❡❡t ❡✈❛❧✲
✉❛t✐♦♥✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
✽✳✷✶ ❍②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ ✐♥♥❡r t✐ss✉❡ ❢♦r t❤❡ ❜❡❡t ❡✈❛❧✉✲
❛t✐♦♥✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳
❱■■■
✽✶
✽✷
✽✷
✽✸
✶✵✷
✶✵✺
✶✵✼
✶✵✽
✶ ■♠♣♦rt❛♥t ❛❜❜r❡✈✐❛t✐♦♥s
AG✿ ❆♥❛st♦♠♦s✐s ❣r♦✉♣
Bsi✿ ❇❡❡t s❡❣♠❡♥t❛t✐♦♥ ✐♥❞❡①
Btsi✿ ❇❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡①
DV I ✿ ❉✐✛❡r❡♥❝❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
HSI ✿ ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣
SV M ✿ ❙✉♣♣♦rt ✈❡❝t♦r ♠❛❝❤✐♥❡
SV I ✿ ❙♣❡❝tr❛❧ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
OSAV I ✿ ❖♣t✐♠✐③❡❞ s♦✐❧✲❛❞❥✉st❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
P CA✿ Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s
P DA✿ ♣♦t❛t♦ ❞❡①tr♦s❡ ❛❣❛r
P P O✿ P♦❧②♣❤❡♥♦❧ ♦①✐❞❛s❡
P O✿ P❡r♦①✐❞❛s❡
ROI ✿ ❘❡❣✐♦♥ ♦❢ ✐♥t❡r❡st
RRCR✿ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞ ❝r♦✇♥ r♦t
SW IR✿ ❙❤♦rt✲✇❛✈❡ ✐♥❢r❛r❡❞
V ISN IR✿ ❱✐s✐❜❧❡ ❛♥❞ ♥❡❛r✲✐♥❢r❛r❡❞ ♣❛rt ♦❢ t❤❡ ❡❧❡❝tr♦♠❛❣♥❡t✐❝ s♣❡❝tr✉♠
✶
✷ ■♥tr♦❞✉❝t✐♦♥
✷✳✶ ❚❤❡ s✉❣❛r ❜❡❡t ❝r♦♣
❚❤❡ s✉❣❛r✲❜❡❡t ❝r♦♣✱ ❇❡t❛ ✈✉❧❣❛r✐s ▲✳ ss♣✳ ✈✉❧❣❛r✐s ❤❛s ✐ts ♦r✐❣✐♥s ✐♥ ❞✐✛❡r❡♥t
❛♥❝✐❡♥t ✈❛r✐❡t✐❡s ♦❢ t❤❡ ❜❡❡t ♣❧❛♥ts✱ ✇❤✐❝❤ ✇❡r❡ ❛❧r❡❛❞② ❜❡✐♥❣ ❝✉❧t✐✈❛t❡❞ ♦♥ t❤❡
s❤✐r❡s ♦❢ ▼❡❞✐t❡rr❛♥❡❛♥ ❛s ❣❛r❞❡♥ ✈❡❣❡t❛❜❧❡s✳ ❚❤❡ ✜rst ❞❛t❡❞ r❡❢❡r❡♥❝❡s t♦ ❜❡❡ts
♦❝❝✉r ✐♥ t✇♦ ●r❡❡❦ ❝♦♠❡❞✐❡s ❛r♦✉♥❞ ✹✷✵ ❇❈✱ ✇❤❡r❡ ❜❡❡ts ✇❡r❡ ❞❡s❝r✐❜❡❞ ❛s
❛ ❣❛r❞❡♥ ♣❧❛♥t ❛♥❞ ✇❡r❡ ❛❧r❡❛❞② ❣r♦✇♥ ❜❡t✇❡❡♥ ❞❛r❦✲❝♦❧♦r❡❞ ❛♥❞ ♣❛❧❡✲❝♦❧♦r❡❞
❢♦r♠s✳ ❚❤❡ ❜❡❡t ♣❧❛♥ts ✇❡r❡ ❛♣♣r❡❝✐❛t❡❞ ❛s ❛ s✉♣♣❧❡♠❡♥t t♦ t❤❡ ❝♦♠♠♦♥ ❞✐❡t
❜② t❤❡ ●r❡❡❦ ❛♥❞✱ ❧❛t❡r✱ t❤❡ ❘♦♠❛♥ ❝✐✈✐❧✐③❛t✐♦♥s✳ ■♥ t❤❡ ❘♦♠❛♥ ❧✐t❡r❛t✉r❡✱ ❜❡❡ts
✇❡r❡ ♠❡♥t✐♦♥❡❞ ❜② t❤❡ ♥❛♠❡ ♦❢ ❇❡t❛✱ ❛♣♣❛r❡♥t❧② ❛❞♦♣t❡❞ ❢r♦♠ t❤❡ ●r❡❡❦ ❛♥❞
❣r❛❞✉❛❧❧② ❡♥t❡r❡❞ t❤❡ s♣♦❦❡♥✱ t❤❡♥ t❤❡ ✇r✐tt❡♥✱ ▲❛t✐♥ ❧❛♥❣✉❛❣❡✳ ❆t t❤❡ ❜❡❣✐♥♥✐♥❣
♦❢ t❤❡ ♥✐♥t❤ ❝❡♥t✉r②✱ ✇❤❡♥ ❜❡❡t ♣❛ss❡❞ ❢r♦♠ ❛r❡❛s ❞♦♠✐♥❛t❡❞ ❜② t❤❡ ❘♦♠❛♥s
✐♥t♦ ❝✉❧t✉r❛❧ ❝✐r❝❧❡s ♦❢ ◆♦rt❤❡r♥ ❊✉r♦♣❡✱ ❜❡❡t ✈❛r✐❡t✐❡s ✇✐t❤ ❡❞✐❜❧❡ ❧❡❛✈❡s ❛♥❞
❛♥ ❡♥❧❛r❣❡❞✱ s✇❡❡t✲t❛st✐♥❣ r♦♦t ✇❡r❡ ❣r♦✇♥ ✐♥ ❋r❛♥❝❡ ❛♥❞ ❙♣❛✐♥✳ ❇② t❤❡ ❡♥❞ ♦❢
t❤❡ ✜❢t❡❡♥t❤ ❝❡♥t✉r②✱ t❤❡ ♣❧❛♥t ❤❛❞ ❧✐❦❡❧② ❛❧r❡❛❞② s♣❡❛❞ ❛❝r♦ss ❊✉r♦♣❡✳ ▲❛t❡r
♦♥ ✐♥ t❤❡ s❡✈❡♥t❡❡♥t❤ ❝❡♥t✉r②✱ t♦♣s ❛♥❞ r♦♦ts ♦❢ ✈❛r✐♦✉s ❢♦r♠s ♦❢ ✜❡❧❞✲❣r♦✇♥
❜❡❡t ✇❡r❡ ✉s❡❞ ♠❛✐♥❧② ❛s ❢♦❞❞❡r ❢♦r ❝❛tt❧❡ ✐♥ ❋r❛♥❝❡ ❛♥❞ ●❡r♠❛♥② ❛♥❞ ✇❡r❡
r❡❣✉❧❛r❧② ❝✉❧t✐✈❛t❡❞ ✐♥ t❤❡ ✜❡❧❞✳ ■t ♠❛❞❡ t❤❡ ❜❡❡t ❝r♦♣ ❛ r❡❧❛t✐✈❡❧② r❡❝❡♥t ❝r♦♣
✐♥ t❤❡ ❤✐st♦r② ♦❢ ❊✉r♦♣❡❛♥ ❛❣r✐❝✉❧t✉r❡✳ ❚♦❞❛②✱ s✉❣❛r ❜❡❡t ❤❛s s♣r❡❛❞ ❛r♦✉♥❞ t❤❡
✇♦r❧❞ ❛♥❞ ✐s ♦♥❡ ♦❢ ♦♥❧② t✇♦ ❝r♦♣s ✇❤✐❝❤ ❝♦♥st✐t✉t❡ t❤❡ ♦♥❧② ✐♠♣♦rt❛♥t s♦✉r❝❡
♦❢ s✉❝r♦s❡ ✲ ❛ ♣r♦❞✉❝t ✇✐t❤ s✇❡❡t❡♥✐♥❣ ❛♥❞ ♣r❡s❡r✈✐♥❣ ♣r♦♣❡rt✐❡s t❤❛t ♠❛❦❡ ✐t
❛ ♠❛❥♦r ❝♦♠♣♦♥❡♥t ♦❢✱ ♦r ❛❞❞✐t✐✈❡ t♦✱ ❛ ✈❛st r❛♥❣❡ ♦❢ ❢♦♦❞s✱ ❜❡✈❡r❛❣❡s✱ ❛♥❞
♣❤❛r♠❛❝❡✉t✐❝❛❧s ❬✶❪✳ ■♥ t❤❡ ❊❯✱ s✉❣❛r ❜❡❡t ✐s t❤❡ ❢♦✉rt❤ ♠❛❥♦r ❛r❛❜❧❡ ❝r♦♣ ✭✶✳✸
♠✐❧❧✐♦♥ ❤❛ ✐♥ ✷✵✶✺✮✱ ❛♥❞ t❤❡ ❊❯ ✐s t❤❡ ❜✐❣❣❡st s✉❣❛r ❜❡❡t ♣r♦❞✉❝❡r ✐♥ t❤❡ ✇♦r❧❞ ❬✷❪✳
✷✳✷ P❧❛♥t ♣r♦t❡❝t✐♦♥ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ ❝r♦✇♥ ❛♥❞
r♦♦t r♦t
■♥ t❤❡ ♥✐♥❡t❡❡♥t❤ ❝❡♥t✉r②✱ ❢❛r♠❡rs ♥♦t✐❝❡❞ ❛ st❡❛❞② ❞❡❝r❡❛s❡ ♦❢ t❤❡ s✉❣❛r ❜❡❡t
②✐❡❧❞ ✇❤❡♥ t❤❡② ❣r❡✇ t❤❡ ❝r♦♣ r❡♣❡❛t❡❞❧② ✐♥ ♥❛rr♦✇ r♦t❛t✐♦♥s✳ ❚❤✐s ♦❜s❡r✈❛t✐♦♥
r❛✐s❡❞ t❤❡ ♥❡❡❞ t♦ ♣r♦t❡❝t t❤❡ ❝r♦♣ ❛❣❛✐♥st ♣❡sts ❛♥❞ ❞✐s❡❛s❡s✳ ❇② t❤❡ ❡♥❞ ♦❢
t❤❡ ❝❡♥t✉r②✱ ❢❛r♠❡rs ❛❞❛♣t❡❞ t❤❡ s✉❣❛r✲❜❡❡t ❝✉❧t✐✈❛t✐♦♥ ❜② ✇✐❞❡♥✐♥❣ r♦t❛t✐♦♥s t♦
♣r❡✈❡♥t t❤❡ ❞❛♠❛❣❡ ❢r♦♠ s♦♠❡ s♦✐❧ ♣❡sts s✉❝❤ ❛s t❤❡ ❜❡❡t ❝②st ♥❡♠❛t♦❞❡✳ ◆❡✈✲
❡rt❤❡❧❡ss✱ ♦t❤❡r ♣❡sts ❛♥❞ ❞✐s❡❛s❡s✱ ✇❤✐❝❤ ✇❡r❡ ✉♥r❡❝♦❣♥✐③❡❞ ✐♥ t❤❡ ❡❛r❧② ②❡❛rs
♦❢ t❤❡ ❜❡❡t s✉❣❛r ✐♥❞✉str②✱ ❜❡❝❛♠❡ ❛♥ ✐♥❝r❡❛s✐♥❣❧② ♣r♦♠✐♥❡♥t t❤r❡❛t ❛s ❜❡❡t ♣r♦✲
❞✉❝t✐♦♥ ✐♥t❡♥s✐✜❡❞ ❬✶❪✳
■♥ t❤❡ s✉❣❛r ❢❛❝t♦r②✱ t❤❡ t❡❝❤♥✐❝❛❧ q✉❛❧✐t② ♦❢ t❤❡ ❜❡❡t ♣❧❛②s ❛♥ ✐♠♣♦rt❛♥t r♦❧❡
✐♥ ♣r♦❝❡ss✐♥❣✳ ❇❡❡ts t❤❛t ❞♦ ♥♦t ♠❡❡t t❤❡ q✉❛❧✐t② st❛♥❞❛r❞s ✐♥❤✐❜✐t t❤❡ s✉❣❛r
♣r♦❝❡ss✐♥❣✱ ❜❡❝❛✉s❡ ✐♠♣✉r✐t✐❡s ✐♥ t❤❡ ♠♦❧❛ss❡s ✐♥✢✉❡♥❝❡ t❤❡ s✉❣❛r s♦❧✉❜✐❧✐t② ❛♥❞
❝r②st❛❧❧✐③❛t✐♦♥ ♦❢ s✉❣❛r ❞✉r✐♥❣ t❤❡ ♣r♦❞✉❝t✐♦♥ ♣r♦❝❡ss ❬✸✱ ✹❪✳ ❘♦♦t r♦t ❞✐s❡❛s❡s ♦❢
✷
❈❍❆P❚❊❘ ✷✳
■◆❚❘❖❉❯❈❚■❖◆
s✉❣❛r ❜❡❡t ❛r❡ ❛ ♣r✐♠❛r② ❧✐♠✐t✐♥❣ ❢❛❝t♦r ❢♦r t❤❡ ♣r♦❞✉❝t✐♦♥ ♦❢ ❤✐❣❤✲q✉❛❧✐t② ❜❡❡ts✳
❚❤❡ ❧♦ss❡s ✐♥❝❧✉❞❡ r❡❞✉❝❡❞ ❤❛r✈❡st❛❜❧❡ t♦♥♥❛❣❡ ❛♥❞ r❡❞✉❝❡❞ ✇❤✐t❡ s✉❣❛r r❡❝♦✈❡r②✱
❜✉t ❛❧s♦ ❝❛✉s❡ ♣♦st✲❤❛r✈❡st ❧♦ss❡s ✐♥ st♦r❛❣❡ ♣✐❧❡s✳ ❚❤❡ ♠♦st r❡❧❡✈❛♥t r♦♦t r♦t ❞✐s✲
❡❛s❡s ❛r❡ ❝❛✉s❡❞ ❜② ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐✱ ❘✳ ❝r♦❝♦r✉♠✱ ❆♣❤❛♥♦♠②❝❡s ❝♦❝❤❧✐♦✐❞❡s✱
P❤♦♠❛ ❜❡t❛❡✱ ▼❛❝r♦♣❤♦♠✐♥❛ ♣❤❛❡s❡♦❧✐♥❛✱ ❋✉s❛r✐✉♠ ♦①②s♣♦r✉♠ ❢✳s♣✳ r❛❞✐❝✐s✲
❜❡t❛❡✱ P②t❤✐✉♠ ❛♣❤❛♥✐❞❡r♠❛t✉♠✱ P❤②t♦♣❤t❤♦r❛ ❞r❡❝❤s❧❡r✐✱ ❘❤✐③♦♣✉s st♦❧♦♥✐❢❡r✱
❘✳ ❛rr❤✐③✉s ❛♥❞ ❙❝❧❡r♦t✐✉♠ r♦❧❢s✐✐ ❬✺❪✳
❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐s ❛ ❝❛s✉❛❧ ♦r❣❛♥✐s♠ ❛♥❞ ✐s t❤❡ ❛s❡①✉❛❧ st❛❣❡ ♦❢ t❤❡ ❢✉♥❣✉s
❚❤❛♥❛t❡♣❤♦r✉s ❝✉❝✉♠❡r✐s✳ ❚❤✐s ❢✉♥❣✉s ✐s ❝♦♥s✐❞❡r❡❞ ❛ ❝♦♠♠♦♥ s♦✐❧ ✐♥❤❛❜✐t❛♥t✱
❤♦✇❡✈❡r✱ ✐t ✐s ♣r❡s❡♥t t❤r♦✉❣❤♦✉t t❤❡ ✇♦r❧❞ ✐♥ ❛❣r✐❝✉❧t✉r❛❧ s♦✐❧s ❛♥❞ ✐♥❢❡❝t ♠❛♥②
♣❧❛♥t s♣❡❝✐❡s ❬✻✱ ✼❪✳ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐s ❝❧❛ss✐✜❡❞ ✐♥t♦ ♥✐♥❡ str❛✐♥s✱ ♦r t②♣❡s✱
❝❛❧❧❡❞ ❆♥❛st♦♠♦s✐s ●r♦✉♣s ✭❆● t②♣❡s✮✳ ❚❤✐s ❝❧❛ss✐✜❝❛t✐♦♥ ✐s ❜❛s❡❞ ♦♥ t❤❡ ❛❜✐❧✐t②
♦❢ t❤❡ ❤②♣❤❛❡ ♦❢ ❞✐✛❡r❡♥t ❝✉❧t✉r❡s t♦ ❢✉s❡✳ ❖♥ s✉❣❛r ❜❡❡t ✐t ✐s ❆● ■❱✱ ❡s♣❡❝✐❛❧❧②
t❤❡ ❆● ✷✲✷ ✐♥tr❛s♣❡❝✐✜❝ ❣r♦✉♣ ■■■❇✱ t❤❛t ❝❛✉s❡s t❤❡ ❞✐s❡❛s❡ ❝❛❧❧❡❞ ❘❤✐③♦❝t♦♥✐❛
❘♦♦t ❛♥❞ ❈r♦✇♥ ❘♦t ✭❘❘❈❘✮ ❬✻✱ ✽❪✳
❚❤❡ ✜rst ❛❜♦✈❡❣r♦✉♥❞ s②♠♣t♦♠ ♦❢ ❘❘❈❘ ✐s ✇✐❧t✐♥❣ ♦❢ t❤❡ ♦❧❞❡r✲❧❡❛✈❡s✲❢♦❧✐❛❣❡✱
❝♦♥t✐♥✉❡❞ ❜② ②❡❧❧♦✇✐♥❣ ❛♥❞ ❢♦❧✐❛❣❡ ❞❡❛t❤✳ ❚❤❡ ♣❡t✐♦❧❡s s❤♦✇ ❞❛r❦ ❜r♦✇♥ t♦
❜❧❛❝❦ ❧❡s✐♦♥s ♦♥ t❤❡ ❜❛s❡✱ ❛♥❞ ✐♥❢❡❝t❡❞ r♦♦t t✐ss✉❡ ✐s ❞❛r❦ ❜r♦✇♥ t♦ ❜❧❛❝❦✳ ■♥
❧❛t❡r st❛❣❡s ♦❢ t❤❡ ✐♥❢❡❝t✐♦♥ ♣r♦❝❡ss✱ ❝❛♥❦❡rs ❛♥❞ ❝r❛❝❦s ♠❛② ❞❡✈❡❧♦♣ ❞❡❡♣ ✐♥t♦
t❤❡ r♦♦t✳ ■♥ ❛❞❞✐t✐♦♥✱ ✐t ✐s ♣♦ss✐❜❧❡ t♦ ♦❜s❡r✈❡ ❜r♦✇♥ ❢✉♥❣❛❧ ♠②❝❡❧✐✉♠ ✐♥ t❤❡
❝r❛❝❦s✳ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ❝❛♥ ❛❧s♦ ❛tt❛❝❦ t❤❡ r♦♦t ✐♥ ♠✉❧t✐♣❧❡ ❛r❡❛s✱ ✇❤✐❝❤ ♠❛②
❧❡❛❞ t♦ ♥✉♠❡r♦✉s s❧✐❣❤t❧② s✉♥❦❡♥ ❧❡s✐♦♥s✱ ✇✐t❤ ♦r ✇✐t❤♦✉t s♠❛❧❧ ❝r❛❝❦s✱ ♦♥ t❤❡
r♦♦t s✉r❢❛❝❡✳ ❚❤❡ ♠❛r❣✐♥ ❜❡t✇❡❡♥ ❤❡❛❧t❤② ❛♥❞ ❞✐s❡❛s❡❞ t✐ss✉❡ ♣r♦❞✉❝❡❞ ❜② t❤✐s
♣❛t❤♦❣❡♥ ✐♥ t❤❡ ✐♥t❡r✐♦r ✐s s❤❛r♣❧② ❞❡✜♥❡❞✳ ❲❤❡♥ s❡❝♦♥❞❛r② ❢✉♥❣✐ ❛♥❞✴♦r ❜❛❝t❡r✐❛
✐♥✈❛❞❡✱ t❤❡ r♦tt❡❞ r♦♦t t✐ss✉❡ ❝❛♥ t✉r♥ ❢r♦♠ ✜r♠ t♦ s♦❢t ❬✺✱ ✻❪✳
❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐s ❛ ❢❛❝✉❧t❛t✐✈❡ ♣❛r❛s✐t❡ ✇❤✐❝❤ ❞♦❡s ♥♦t r❡q✉✐r❡ ❛ ❧✐✈✐♥❣ ❤♦st
t♦ ❞❡✈❡❧♦♣✱ ❜✉t ✐t ✇✐❧❧ ❝❛✉s❡ ❞✐s❡❛s❡ ✐❢ t❤❡ ❝♦♥❞✐t✐♦♥s ❛r❡ s✉✐t❛❜❧❡✳ ❚❤✐s ♣❛t❤♦❣❡♥
✐s ❛❜❧❡ t♦ s✉r✈✐✈❡ ♦♥ ❧✐✈✐♥❣ ♣❧❛♥ts ♦r ❛s ❛ s❛♣r♦♣❤②t❡ ♦♥ ♦r❣❛♥✐❝ ❞❡❜r✐s✳ ❲✐t❤ ❛❣❡✱
❞❛r❦ ❜r♦✇♥ t❤✐❝❦✲✇❛❧❧❡❞✱ ❜❛rr❡❧✲s❤❛♣❡❞ ❤②♣❤❛❧ ❝❡❧❧s ❛❣❣r❡❣❛t❡ t♦ ❢♦r♠ ❞r②✱ ❤❛r❞✱
❝♦♠♣❛❝t❡❞ str✉❝t✉r❡s ❝❛❧❧❡❞ s❝❧❡r♦t✐❛✳ ❚❤❡ ❞✐s❡❛s❡ ✐♥❝✐❞❡♥❝❡ ✐♥❝r❡❛s❡s ✇❤❡♥ s♦✐❧
t❡♠♣❡r❛t✉r❡s r❡❛❝❤ ✷✺ t♦ ✸✸ ◦ ❈✱ ✇❤❡♥ s♦✐❧ str✉❝t✉r❡ ✐s ♣♦♦r✱ ❛♥❞ s♦✐❧ ♠♦✐st✉r❡ ✐s
❤✐❣❤✳ ❚❤❡ ❞✐s❡❛s❡ s❡✈❡r✐t② ✐♥ s✉❣❛r ❜❡❡ts ✐s ❛❧s♦ r❡❧❛t❡❞ t♦ t❤❡ ♣♦♣✉❧❛t✐♦♥ ♦❢ t❤❡
♣❛t❤♦❣❡♥ ✐♥ t❤❡ s♦✐❧✱ ✇❤✐❝❤ ✐s ❡♥❤❛♥❝❡❞ ❜② ❝r♦♣ r♦t❛t✐♦♥ ✇✐t❤ ❤♦st✲♣❧❛♥ts✳ ❋♦r t❤❡
❝♦♥tr♦❧ ♦❢ ❘❘❈❘✱ s♦♠❡ ❢✉♥❣✐❝✐❞❡s ❛r❡ r❡❣✐st❡r❡❞ ✐♥ t❤❡ ❯❙❆✱ ❡✳❣✳ ❛③♦①②str♦❜✐♥
✭◗✉❛❞r✐s✮✱ ❛ ❝❤❡♠✐❝❛❧ t❤❛t ✐s ❛♣♣❧✐❡❞ ♣r✐♦r t♦ t❤❡ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t ♦♥ t♦ t❤❡
♣❡t✐♦❧❡ ❛♥❞ ❝r♦✇♥ ❛r❡❛✱ ♣❡♥t❤✐♦♣②r❛❞ ❛♥❞ ✐♣♦❝♦♥❛③♦❧❡❛ ❬✻✱ ✾❪❀ ✐♥ ❝♦♥tr❛st✱ ✐♥ t❤❡
❊❯✱ ♥♦ ❢✉♥❣✐❝✐❞❡s ❤❛✈❡ ❜❡❡♥ r❡❣✐st❡r❡❞ ②❡t ❢♦r ❝♦♥tr♦❧❧✐♥❣ t❤✐s ❢✉♥❣✉s ❬✶✵❪✳
✷✳✸ ❈♦♥✈❡♥t✐♦♥❛❧ ❞✐❛❣♥♦s✐s ❛♥❞ ❞❡t❡❝t✐♦♥ ♦❢
❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t
❚❤❡ ♣r❡s❡♥❝❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❝❛♥ ❜❡ ❝♦♥✜r♠❡❞ ❜② tr❛❞✐t✐♦♥❛❧✱ ❜✉t ♣❛rt✐❝✲
✉❧❛r❧② t❤r♦✉❣❤ ♠♦❧❡❝✉❧❛r ♠❡t❤♦❞s✳ ❚❤❡ ✜rst ❞❡t❡❝t✐♦♥ ❛ss❛② ❞❡s❝r✐❜❡❞ ❝♦♥s✐sts
♦❢ t❤❡ ❛♥❛st♦♠♦s✐s r❡❛❝t✐♦♥ ❬✶✶✱ ✶✷❪❀ ✐♥ t❤✐s ♠❡t❤♦❞✱ t❤❡ ♣♦t❡♥t✐❛❧ ♣❛t❤♦❣❡♥ ✐s
✐s♦❧❛t❡❞ ❢r♦♠ ✐♥❢❡❝t❡❞ ♣❧❛♥t ♣❛rts s✉❝❤ ❛s r♦♦ts ❛♥❞ ❜❡❡ts✱ ♦r ❢r♦♠ s♦✐❧ s❛♠♣❧❡s✳
❆❢t❡r✇❛r❞s✱ t❤❡ ❛♥❛st♦♠♦s✐s ❣r♦✉♣ ✐s ✐❞❡♥t✐✜❡❞ ❜❛s❡❞ ♦♥ t❤❡ ❛❜✐❧✐t② ♦r ✐♥❛❜✐❧✐t②
t♦ ❛♥❛st♦♠♦s❡ ✇✐t❤ t❤❡ ❦♥♦✇♥ ✐s♦❧❛t❡s ✭st❛♥❞❛r❞s✮✳ ■♥ s♣✐t❡ ♦❢ t❤❡ ♣♦ss✐❜✐❧✐t② t♦
✸
❈❍❆P❚❊❘ ✷✳
■◆❚❘❖❉❯❈❚■❖◆
✐❞❡♥t✐❢② ❞✐✛❡r❡♥t ❆●✲❣r♦✉♣s✱ ✐t ✐s ♥♦t ♣♦ss✐❜❧❡ t♦ ❞✐✛❡r❡♥t✐❛t❡ t❤❡ str❛✐♥s ✇✐t❤✐♥
t❤❡ ❆● ✷✲✷ ❣r♦✉♣ ❬✶✸❪✱ ✇❤❡r❡ s♦♠❡ s✉❜❣r♦✉♣s ❛r❡ ❡✈❡♥ ♥♦♥✲♣❛t❤♦❣❡♥✐❝ ❢♦r s✉❣❛r
❜❡❡t ❬✸❪ ✳ ❖♥ t❤❡ ✜❡❧❞✱ t②♣✐❝❛❧❧② ✈✐s✉❛❧ ❛ss❡ss♠❡♥ts ❢r♦♠ ❛❜♦✈❡❣r♦✉♥❞ s②♠♣t♦♠s
♦❢ ❘❘❈❘ ❛r❡ ♣❡r❢♦r♠❡❞ t♦ ❞❡t❡❝t t❤❡ s❡✈❡r✐t② ♦❢ t❤❡ ❞✐s❡❛s❡ ❬✶✹❪✳ ❍♦✇❡✈❡r✱ s②♠♣✲
t♦♠s ♦❢ t❤❡ ❞✐s❡❛s❡ ❛r❡ ♦❢t❡♥ ♥♦t ❛♣♣❛r❡♥t ✉♥t✐❧ ❧❛t❡ s✉♠♠❡r ♦r ❡❛r❧② ❛✉t✉♠♥✱
❛♥❞ ❡✈❡♥ ❣r♦✇❡rs ✉s✉❛❧❧② ❞♦ ♥♦t ♥♦t✐❝❡ t❤❛t ❜❡❡ts ❛r❡ ❞✐s❡❛s❡❞ ✉♥t✐❧ t❤❡② ❛r❡
❤❛r✈❡st❡❞ ❬✾❪✳ ❋✉rt❤❡r♠♦r❡✱ ✈✐s✉❛❧ ❞✐s❡❛s❡ ❛ss❡ss♠❡♥ts ❛r❡ s✉❜❥❡❝t✐✈❡ ✐♥ ♥❛t✉r❡
❛♥❞ ❛✛❡❝t❡❞ ❜② ❢❛t✐❣✉❡✱ ❜✐❛s✱ ❤✉♠❛♥ ❡rr♦r✱ ❛♥❞ ❛❧s♦ ❞✐✛❡r❡♥❝❡s ✐♥ ✈✐s✐♦♥ ❜❡t✇❡❡♥
r❛t❡rs✱ ✇❤✐❝❤ ♠❛❦❡ t❤❡ ❞❡t❡❝t✐♦♥ ♦♥ t❤❡ ✜❡❧❞ tr♦✉❜❧❡s♦♠❡ ❬✶✹❪✳
❚♦ ❞❛t❡✱ ❜✐♦❝❤❡♠✐❝❛❧ ❛♥❞ ♠♦❧❡❝✉❧❛r ♠❡t❤♦❞s ❛r❡ ❝♦♥s✐❞❡r❡❞ t❤❡ ♠♦st ♣r❡❝✐s❡
♠❡t❤♦❞ ❢♦r t❤❡ ❞✐❛❣♥♦s✐♥❣✱ ❞❡t❡❝t✐♥❣✱ ❛♥❞ q✉❛♥t✐❢②✐♥❣ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ❆●✷✲
✷■■■❇✳ ■s♦❡♥③②♠❡ ❛♥❛❧②s✐s✱ ❛ ❜✐♦❝❤❡♠✐❝❛❧ ♠❡t❤♦❞✱ ✐❞❡♥t✐✜❡s t❤❡ ✷✲✷■■■❇ s✉❜❣r♦✉♣
❬✼✺❪✳ ❚❤❡ ♠♦❧❡❝✉❧❛r ♠❡t❤♦❞s✱ r❉◆❆ r❡str✐❝t✐♦♥s ❛♥❛❧②s✐s ♦❢ ■❚❙ r❡❣✐♦♥ ❛♥❞ t❤❡
❘❛♥❞♦♠ ❆♠♣❧✐✜❝❛t✐♦♥ ♦❢ P♦❧②♠♦r♣❤✐❝ ❉◆❆ ✭❘❆P❉✮✱ ❜♦t❤ P❈❘ ❛ss❛②s✱ ✇❡r❡
❞❡s❝r✐❜❡❞ ❛s s✉❝❝❡ss❢✉❧ ❢♦r t❤❡ ✐❞❡♥t✐✜❝❛t✐♦♥ ❛♥❞ q✉❛♥t✐✜❝❛t✐♦♥ ♦❢ t❤❡ ✷✲✷■■■❇
s✉❜❣r♦✉♣ ❬✶✵✱ ✶✸❪✳
❆❧t❤♦✉❣❤ t❤❡ ❜✐♦❝❤❡♠✐❝❛❧ ❛♥❞ ♠♦❧❡❝✉❧❛r ♠❡t❤♦❞s ❛r❡ r❡❧✐❛❜❧❡✱ t❤❡✐r ✐♠♣❧❡♠❡♥✲
t❛t✐♦♥ ❢♦r ❛♥ ❡❛r❧② ❞❡t❡❝t✐♦♥ ✇♦✉❧❞ ❧❡❛❞ t♦ ❡❧❡✈❛t❡❞ ❡❝♦♥♦♠✐❝ ❛♥❞ ❡❝♦❧♦❣✐❝❛❧ ❝♦sts
✐♥ ❛❣r✐❝✉❧t✉r❛❧ ♣r♦❞✉❝t✐♦♥✳ ▼♦❧❡❝✉❧❛r ♠❡t❤♦❞s ❞♦ ♥♦t ❛❧❧♦✇ t❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢
t✐♠❡✲s❡r✐❡s ♠❡❛s✉r❡♠❡♥ts ♦❢ ✐♥❢❡❝t❡❞ ♣❧❛♥ts✳ ❉✉❡ t♦ t❤✐s✱ ❛ss❛②s ❛r❡ ❞❡str✉❝✲
t✐✈❡✱ t❤❡② r❡q✉✐r❡ ♠✉❧t✐♣❧❡ r❡♣❡t✐t✐♦♥s ❛♥❞ ❛r❡ t✐♠❡✲❝♦♥s✉♠✐♥❣✳ ❚❤✐s ♠❛❦❡s ✐ts
❛♣♣❧✐❝❛t✐♦♥ ♥♦t s✉✐t❛❜❧❡ ❢♦r t❤❡ ✜❡❧❞ ❬✶✺❪✳
✷✳✹ ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣
❆ ♥♦✈❡❧ ❛❧t❡r♥❛t✐✈❡ ❢♦r t❤❡ ❜✐♦❝❤❡♠✐❝❛❧ ❛♥❞ ♠♦❧❡❝✉❧❛r ♠❡t❤♦❞s ✐♥ ♣❧❛♥t ❞✐s❡❛s❡
❛ss❡ss♠❡♥t ✐s t❤❡ ✉s❡ ♦❢ ❍②♣❡rs♣❡❝tr❛❧ ■♠❛❣✐♥❣ ✭❍❙■✮✳ ❍❙■ ✐s ❛ ②♦✉♥❣ s❝✐❡♥❝❡
❛♥❞ ❛ ♥♦♥✲✐♥✈❛s✐✈❡ ♠❡t❤♦❞✱ ✇❤✐❝❤ ✐♥ t❤❡ ❧❛st ②❡❛rs ❤❛s ❢♦✉♥❞ ❛♥ ❛♣♣❧✐❝❛t✐♦♥ ✐♥
♣❧❛♥t ♣❛t❤♦❧♦❣② ❬✶✻❪✳ ❚❤❡ ♣r✐♥❝✐♣❧❡ ♦❢ ❍❙■ ✐s ❜❛s❡❞ ♦♥ t❤❡ ♠❡❛s✉r❡ ♦❢ t❤❡ ❛♠♦✉♥t
♦❢ ❧✐❣❤t✱ ❝♦♠♠♦♥❧② t❤❡ r❡✢❡❝t❡❞ ❧✐❣❤t✱ t❤❛t r❡❛❝❤❡s t❤❡ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣
s❡♥s♦r ❛♥❞ ✐s st♦r❡❞ ❛s ✐♥❢♦r♠❛t✐♦♥✳ ❚❤❡ r❡❝♦r❞❡❞ ✐♥❢♦r♠❛t✐♦♥ ✐♥ t❤❡ ❢♦r♠ ♦❢
❛ t✇♦✲❞✐♠❡♥s✐♦♥❛❧ ✐♠❛❣❡ ❤❛s ❛ ❤✐❣❤ s♣❛t✐❛❧ ❛♥❞ s♣❡❝tr❛❧ r❡s♦❧✉t✐♦♥✱ ❝♦♥t❛✐♥✐♥❣
✉♣ t♦ s❡✈❡r❛❧ ❤✉♥❞r❡❞ ❜❛♥❞s ♦❢ t❤❡ ❡❧❡❝tr♦♠❛❣♥❡t✐❝ s♣❡❝tr✉♠ ✐♥ t❤❡ ✇❛✈❡❧❡♥❣t❤
r❛♥❣❡ ♦❢ t❤❡ s❡♥s♦r✳ ▼❛♥② ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ❛r❡ ❛❜❧❡ t♦ ❛❞❞r❡ss t❤❡ ✈✐s✐❜❧❡
♣❛rt ♦❢ t❤❡ ❡❧❡❝tr♦♠❛❣♥❡t✐❝ s♣❡❝tr✉♠ ✭✹✵✵✲✼✵✵ ♥♠✱ ❱■❙✮ ❛♥❞ ❝❛♥ ❛❧s♦ ♠❡❛s✉r❡ t❤❡
♥❡❛r✲✐♥❢r❛r❡❞ ✇❛✈❡❧❡♥❣t❤ ✭✼✵✵✲✶✵✵✵ ♥♠✱ ◆■❘✮✳ ❚❤❡s❡ ❛r❡ r❡❢❡rr❡❞ t♦ ❛s ❱■❙◆■❘
s❡♥s♦rs ❬✶✺✱ ✶✼❪✳
❘❡✢❡❝t❛♥❝❡ ♦r r❡✢❡❝t❡❞ ❧✐❣❤t t❛❦❡♥ ❜② ❱■❙◆■❘ s❡♥s♦rs ✐s ❞❡s❝r✐❜❡❞ ❛s ❛ ❢✉♥❝t✐♦♥
♦❢ ✇❛✈❡❧❡♥❣t❤ ❛♥❞ ✐s ❝❛❧❧❡❞ ✧s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡ ❝✉r✈❡✧ ♦r ✧s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡
s✐❣♥❛t✉r❡✧ ❬✶✽❪ ✳ ■♥ ❛ ❝r♦♣✱ ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ✐s ❞r✐✈❡♥ ❜② ♠✉❧t✐♣❧❡ ✐♥t❡r❛❝t✐♦♥s✿
t❤❡ s❝❛tt❡r✐♥❣ ♦❢ ❧✐❣❤t ❛s ❛ r❡s✉❧t ♦❢ ❧❡❛❢ s✉r❢❛❝❡ ❛♥❞ ✐♥t❡r♥❛❧ ❝❡❧❧✉❧❛r str✉❝t✉r❡s✱
❛♥❞ r❛❞✐❛♥t ❡♥❡r❣② ❛❜s♦r♣t✐♦♥ ✐♥❞✉❝❡❞ ❜② ❧❡❛❢ ❝❤❡♠✐str②❀ t❤❡r❡❢♦r❡✱ t❤❡ s♣❡❝tr❛❧
s✐❣♥❛t✉r❡ ♦❢ t❤❡ ❧❡❛❢ ❝❛♥ ❞❡❧✐✈❡r ✐♥❢♦r♠❛t✐♦♥ ❛❜♦✉t t❤❡ ❜✐♦♣❤②s✐❝❛❧ ❛♥❞ ❜✐♦❝❤❡♠✲
✐❝❛❧ ❛ttr✐❜✉t❡s ♦❢ ✈❡❣❡t❛t✐♦♥ ❬✶✽❪✳ ❱■❙ ❛♥❞ ◆■❘ r❡✢❡❝t❛♥❝❡ ❛r❡ ❞♦♠✐♥❛t❡❞ ❜②
t✇♦ ❞✐✛❡r❡♥t ❝❛♥♦♣② ❛ttr✐❜✉t❡s✳ ❖♥ t❤❡ ♦♥❡ ❤❛♥❞✱ ❱■❙✲▲❡❛❢✲❘❡✢❡❝t❛♥❝❡ ✐s ❝♦♥✲
tr♦❧❧❡❞ ❜② t❤❡ ✈✐❜r❛t✐♦♥❛❧ ❛♥❞ r♦t❛t✐♦♥❛❧ ♣r♦♣❡rt✐❡s ♦❢ ✐♥❞✐✈✐❞✉❛❧ ♣❧❛♥t ♣✐❣♠❡♥ts
s✉❝❤ ❛s ❝❤❧♦r♦♣❤②❧❧✱ ❝❛r♦t❡♥♦✐❞s✱ ❛♥❞ ❛♥t❤♦❝②❛♥✐♥s✳ ❈❤❧♦r♦♣❤②❧❧ r❡✢❡❝ts s♣❡❝✲
tr❛ ♠❛①✐♠❛❧❧② ✐♥ ❣r❡❡♥ ✇❛✈❡❧❡♥❣t❤ ✭✺✻✵ ♥♠✱ ❋✐❣✉r❡ ✷✳✶✮✱ ♣r♦✈✐❞✐♥❣ ❧❡❛✈❡s ✐ts
✹
❈❍❆P❚❊❘ ✷✳
■◆❚❘❖❉❯❈❚■❖◆
❝❤❛r❛❝t❡r✐st✐❝ ❝♦❧♦r✳ ❖♥ t❤❡ ♦t❤❡r ❤❛♥❞✱ ◆■❘✲❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ✐s ❞♦♠✐♥❛t❡❞ ❜②
✐♥t❡r♥❛❧ ❧❡❛❢ str✉❝t✉r❡s✱ ✐♥ ✇❤✐❝❤ ❛ t❤✐♥ ❡♣✐❞❡r♠❛❧ ❧❛②❡r✱ ❧♦♥❣ ♣❛❧✐s❛❞❡ ❝❡❧❧s✱ ❛♥❞
♠♦r❡ ❛✐r s♣❛❝❡s s✉rr♦✉♥❞✐♥❣ s♣♦♥❣② ♠❡s♦♣❤②❧❧ ❝❡❧❧s ❝❛♥ ❧❡❛❞ t♦ ❤✐❣❤❡r ◆■❘✲❧❡❛❢✲
r❡✢❡❝t❛♥❝❡ ❬✶✺✱ ✶✾❪✳
Reflectance
Plant pigments
Internal leaf structures
Chlorophyll
400
500
600
700
VIS
800
900
1000nm
NIR
UV
IR
Increasing Wavelength (γ)
❋✐❣✉r❡ ✷✳✶✿ ✧❙♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡ s✐❣♥❛t✉r❡✧ ♦❢ s✉❣❛r✲❜❡❡t ❝❛♥♦♣② ✐♥ t❤❡ ✈✐s✐✲
❜❧❡✭❱■❙✮ ❛♥❞ ♥❡❛r✲✐♥❢r❛r❡❞✭◆■❘✮ ❡❧❡❝tr♦♠❛❣♥❡t✐❝ s♣❡❝tr✉♠✳ ❱■❙✲
r❡❣✐♦♥ ✭✹✵✵✲✼✵✵ ♥♠✮✱ ◆■❘✲r❡❣✐♦♥ ✭✼✵✵✲✶✵✵✵ ♥♠✮✳
❚❤❡ ❝❤❛♥❣❡s ♦❢ t❤❡ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡ ❛❢t❡r ✐♥❢❡❝t✐♦♥ ❝❛♥ ❜❡ ❜✐♦❧♦❣✐❝❛❧❧② ✐♥✲
t❡r♣r❡t❡❞ ❜② t❤❡ ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥✳ ❋♦r ❡①❛♠♣❧❡✱ t❤❡ r❡❞✲❡❞❣❡ r❡❣✐♦♥
✭✻✾✵✲✼✺✵ ♥♠✮ s❤♦✇s ❛ s❤❛r♣ ✐♥❝r❡❛s❡ ✐♥ r❡✢❡❝t❛♥❝❡ ✐♥ ❤❡❛❧t❤② ♣❧❛♥ts✱ ❞✉❡ t♦
t❤❡ tr❛♥s✐t✐♦♥ ♦❢ str♦♥❣ ❛❜s♦r♣t✐♦♥ ❜② ❧❡❛❢ ❝❤❧♦r♦♣❤②❧❧ ✐♥ t❤❡ ✈✐s✐❜❧❡ r❛♥❣❡ t♦
str✉❝t✉r❛❧ ❞♦♠✐♥❛t❡❞ r❡✢❡❝t❛♥❝❡ ✐♥ t❤❡ ◆■❘✳ ■♥ ❝♦♥tr❛st✱ ✐♥ ✐♥❢❡❝t❡❞ ♣❧❛♥ts t❤❡
♣♦s✐t✐♦♥ ♦❢ ♠❛①✐♠✉♠ s❧♦♣❡ ✐s ♣❛rt✐❝✉❧❛r❧② s❡♥s✐t✐✈❡ t♦ ❛ ❝❤❛♥❣❡ ♦❢ t❤❡ ❛♠♦✉♥t
♦❢ ♣✐❣♠❡♥t✳ ❋✉♥❣❛❧ ♣❛t❤♦❣❡♥s ✐♥✢✉❡♥❝❡ t❤❡ s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡ ❝✉r✈❡ ❞❡♣❡♥❞✐♥❣
♦♥ t❤❡ ✐♥t❡r❛❝t✐♦♥ t②♣❡ ❛♥❞ ✇❛② ♦❢ ♥✉tr✐t✐♦♥ ✭❜✐♦tr♦♣❤✐❝✱ ❤❡♠✐✲❜✐♦tr♦♣❤✐❝ ❛♥❞
♥❡❝r♦tr♦♣❤✐❝✮✱ ❣r♦✇t❤ t②♣❡✱ ♣✐❣♠❡♥t❛t✐♦♥✱ ❞❡✈❡❧♦♣♠❡♥t❛❧ st❛❣❡ ❛♥❞ ♦♥ t❤❡ ❞✐s✲
❡❛s❡ s❡✈❡r✐t②✱ ♠❛❦✐♥❣ t❤❡ ❜❡❤❛✈✐♦r ♦❢ ❤②♣❡rs♣❡❝tr❛❧ s✐❣♥❛t✉r❡s s♣❡❝✐✜❝ ❢♦r ❡❛❝❤
♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥ ❬✶✺✱ ✶✾❪✳
❚♦ ❜❡ ❛❜❧❡ t♦ ✉s❡ ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ❛s ❛ t♦♦❧ ❢♦r ♣❧❛♥t ❞✐s❡❛s❡ ❞❡t❡❝t✐♦♥✱
s♦♠❡ ✐♠♣♦rt❛♥t t❡❝❤♥✐❝❛❧ ❛s♣❡❝ts ♠✉st ❜❡ ❝♦♥s✐❞❡r❡❞✳ ❋✐rst✱ t❤❡ t②♣❡ ♦❢ ❤②♣❡r✲
s♣❡❝tr❛❧ s❡♥s♦r s❤♦✉❧❞ ❜❡ ❝❤♦s❡♥ ❛❝❝♦r❞✐♥❣ t♦ ♠❡❛s✉r✐♥❣ ❝♦♥❞✐t✐♦♥s✳ ▼♦✈❡♠❡♥t ♦❢
♣❧❛♥t ❧❡❛✈❡s ♣r❡s❡♥t ❛ ❞✐✣❝✉❧t② ❢♦r t❤❡ t✐♠❡ ♦❢ ❡①♣♦s✉r❡ ♦r ✐♠❛❣❡ ❛❝q✉✐s✐t✐♦♥ t✐♠❡✳
❙❡❝♦♥❞✱ t❤❡ s❝❛❧❡ ♦❢ ♦❜s❡r✈❛t✐♦♥ ✐s ❛❧s♦ ❡ss❡♥t✐❛❧✳ ❚♦ ✐♥✈❡st✐❣❛t❡ ♠❡t❛❜♦❧✐❝ ❝❤❛♥❣❡s
❞✉r✐♥❣ ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥✱ ✐t ✐s ✐♠♣♦rt❛♥t t♦ ✉s❡ t✐ss✉❡✱ ❧❡❛❢✱ s✐♥❣❧❡ ♣❧❛♥t✱
❛♥❞ ❝❛♥♦♣② s❝❛❧❡✳ ❋✐♥❛❧❧②✱ t❤❡ ♣❧❛t❢♦r♠ ❢♦r s❡♥s♦r s②st❡♠ ✐s ❛❧s♦ r❡❧❡✈❛♥t✱ ❜❡❝❛✉s❡
✺
❈❍❆P❚❊❘ ✷✳
■◆❚❘❖❉❯❈❚■❖◆
✐t ❝❛♥ ❛❧❧♦✇ ❛ q✉✐❝❦ ❛ss❡ss♠❡♥t ♦❢ ♦❜❥❡❝ts ✉♥❞❡r ❧❛❜♦r❛t♦r②✱ ❣r❡❡♥❤♦✉s❡ ♦r ✜❡❧❞
❝♦♥❞✐t✐♦♥s ❬✶✺✱ ✶✼❪✳ ❆♥ ❡①❛♠♣❧❡ ♦❢ t❤❡ ❛♣♣❧✐❝❛t✐♦♥ t❤❡s❡ t❡❝❤♥✐❝❛❧ ❛s♣❡❝ts ❢♦r ❛
♣❧❛♥t✲♣❛t❤♦❣❡♥ ❡✈❛❧✉❛t✐♦♥ ✉♥❞❡r ❧❛❜ ❝♦♥❞✐t✐♦♥s ❝♦✉❧❞ ❜❡ t♦ s❡❧❡❝t ❛ s❡♥s♦r ✇✐t❤
❛ ♣✉s❤ ❜r♦♦♠ s❝❛♥♥✐♥❣ s②st❡♠✱ t♦ ♣❡r❢♦r♠ ❞❛t❛ ❛❝q✉✐s✐t✐♦♥ ♦♥ t❤❡ ❧❡❛❢ ♦r s✐♥❣❧❡
♣❧❛♥t s❝❛❧❡✱ ❛♥❞ t♦ ❛tt❛❝❤ t❤❡ s❡♥s♦r t♦ ❛ ❤❛♥❞✲❤❡❧❞ ♣❧❛t❢♦r♠✳
❚❤❡ ❡①tr❛❝t✐♦♥ ♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ❢r♦♠ ❜❛♥❞s ✇✐t❤ ❛ ❤✐❣❤ ❝♦rr❡❧❛t✐♦♥ ♦❢ ♣❧❛♥t
❤❡❛❧t❤ ♦r ✈✐t❛❧✐t②✱ ②✐❡❧❞✱ ♥✉tr✐❡♥t s✉♣♣❧② ♦r ❞❛♠❛❣❡ ❜② ♣❛t❤♦❣❡♥s ✇❡r❡ ♦❢t❡♥ ✉s❡❞
❢♦r ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❙♣❡❝tr❛❧ ❱❡❣❡t❛t✐♦♥ ■♥❞❡①❡s ✭❙❱■s✮✳ ❚❤❡ ✉s❡ ♦❢ ❙❱■s ✐♠♣❧✐❡s
t❤❡ r❡❞✉❝t✐♦♥ ♦❢ ❞❛t❛ ❞✐♠❡♥s✐♦♥ ❢♦r ❛ s♣❡❝✐✜❝ ❛s♣❡❝t ♦❢ r❡s❡❛r❝❤✱ ✇❤✐❝❤ ♠❛② ❜❡
✉s❡❢✉❧ ✐♥ ❡✛❡❝t✐✈❡ ❞❛t❛ ❛♥❛❧②s✐s ❢♦r ❞✐s❡❛s❡ ❞✐s❝r✐♠✐♥❛t✐♦♥ ❬✶✽✱✷✵❪✳ ❚♦ ✐❞❡♥t✐❢② r❡❧✲
❡✈❛♥t ❜❛♥❞s ❢♦r ❛ ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥✱ ✉♥s✉♣❡r✈✐s❡❞ ♠❡t❤♦❞s s✉❝❤ ❛s t❤❡
Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭P❈❆✮ ❛♥❞ ❙✐♠♣❧❡① ❱♦❧✉♠❡ ▼❛①✐♠✐③❛t✐♦♥ ✭❙✐❱▼✮
❤❛✈❡ ❜❡❡♥ ✉s❡❞ t♦ ❣❡t ❛ ❧♦✇❡r✲❞✐♠❡♥s✐♦♥❛❧ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ❛ ❞❛t❛s❡t ✇✐t❤♦✉t ❛
s✐❣♥✐✜❝❛♥t ❧♦ss ♦❢ ✈❛r✐❛♥❝❡ ♦❢ t❤❡ ❢❛❝t♦rs✳ ■♥ ❛❞❞✐t✐♦♥✱ t❤❡ ❞❡t❡❝t✐♦♥ ♦❢ ♣❧❛♥t ❞✐s✲
❡❛s❡ ✐s ❛❧s♦ ♣♦ss✐❜❧❡ ✇✐t❤♦✉t ❧♦s✐♥❣ ✐♥❢♦r♠❛t✐♦♥ ❜② ✉s✐♥❣ s✉♣❡r✈✐s❡❞ ♠❡t❤♦❞s s✉❝❤
❛s ❛ ❙♣❡❝tr❛❧ ❆♥❣❧❡ ▼❛♣♣❡r ✭❙❆▼✮✱ P❛rt✐❛❧✲▲❡❛st ❙q✉❛r❡s ❘❡❣r❡ss✐♦♥ ✭P▲❙❘✮
❛♥❞ ❙✉♣♣♦rt ❱❡❝t♦r ▼❛❝❤✐♥❡ ✭❙❱▼✮✱ ✇❤✐❝❤ ❤❛✈❡ ❜❡❡♥ ❛♣♣❧✐❡❞ s✉❝❝❡ss❢✉❧❧② ❢r♦♠
❛ ❧❛r❣❡ ♥✉♠❜❡r ❜❛♥❞s✱ t②♣✐❝❛❧ ❢r♦♠ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ❬✶✺❪✳
❙❡♥s✐t✐✈❡ ❛♥❞ s♣❡❝✐✜❝ ❙❱■s ❝❛♥ ❞❡t❡❝t ❞✐s❡❛s❡s ❡❛r❧② ❞✉❡ t♦ ❝❤❛♥❣❡s ✐♥ t❤❡ r❡✢❡❝✲
t✐♦♥ ❝❛✉s❡❞ ❜② t❤❡s❡ ❞✐s❡❛s❡s✳ ▼♦r❡♦✈❡r✱ t❤❡ ✉♥❞❡rst❛♥❞✐♥❣ ♦❢ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡
❝❤❛♥❣❡s ❜② ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥s ❝❛♥ s✉♣♣♦rt ♠♦❞❡r♥ ❢❛r♠✐♥❣ ♠❛♥❛❣❡♠❡♥t
✐♥ ❝r♦♣ ♣r♦t❡❝t✐♦♥ ❛♥❞ ♣❧❛♥t ❜r❡❡❞✐♥❣ ♣r♦❝❡ss❡s ❝❛❧❧❡❞ ♣r❡❝✐s✐♦♥ ❛❣r✐❝✉❧t✉r❡ ❛♥❞
♣❧❛♥t ♣❤❡♥♦t②♣✐♥❣ ❬✶✽✱ ✷✶❪✳
✷✳✺ ❉❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❜②
❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs
❍②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ❤❛✈❡ ❛❧r❡❛❞② ❜❡❡♥ ✉s❡❞ ✐♥ ♦t❤❡r st✉❞✐❡s t♦ ❡✈❛❧✉❛t❡ t❤❡
❘❘❈❘ ❞✐s❡❛s❡ ✉♥❞❡r ❣r❡❡♥❤♦✉s❡ ❛♥❞ ✜❡❧❞ ❝♦♥❞✐t✐♦♥s ❬✷✵✱ ✷✷✕✷✹❪✳ ❯♥❞❡r ❝♦♥✲
tr♦❧❧❡❞ ❝♦♥❞✐t✐♦♥s✱ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ✇✐t❤ ❛ s♣❡❝tr❛❧ r❛♥❣❡ ❢r♦♠ ✹✵✵ t♦ ✶✵✵✵
♥♠ ❛♥❞ s♣❡❝tr❛❧ r❡s♦❧✉t✐♦♥ ♦❢ ✷✳✽ ♥♠ ✇❡r❡ t❛❦❡♥ ✐♥ ❛ ❝❛♥♦♣② s❝❛❧❡ ❛♥❞ ❢♦r ✾
✇❡❡❦s t✇✐❝❡ ♣❡r ✇❡❡❦✳ ❚❤❡ ❛✉t❤♦rs s❤♦✇ t❤❛t t❤❡ ❧❡❛❢✲s♣❡❝✐✜❝ ❘❡❣✐♦♥ ♦❢ ■♥t❡r❡st
✭❘❖■✮ ✐♥ ❝♦♠♣❛r✐s♦♥ ✇✐t❤ s♦✐❧✲❡①❝❧✉❞✐♥❣ ❘❖■ ❛♥❞ ❛❧❧✲♣✐①❡❧s ❘❖■ ❤❛❞ t❤❡ ✇❡❛❦❡st
❝♦rr❡❧❛t✐♦♥s ❜❡t✇❡❡♥ s✐① ❞✐✛❡r❡♥t ❙❱■s✿ ▲✐❝❤t❡♥t❤❛❧❡r ✐♥❞❡① ■ ✭▲✐❝✶✮✱ ❖♣t✐♠✐③❡❞
❙♦✐❧✲❆❞❥✉st❡❞ ❱❡❣❡t❛t✐♦♥ ■♥❞❡① ✭❖❙❆❱■✮✱ ♠♦❞✐✜❡❞ ❈❤❧♦r♦♣❤②❧❧ ❆❜s♦r♣t✐♦♥ ■♥✲
❞❡① ✭♠❈❆■✮✱ ◆♦r♠❛❧✐③❡❞ ❉✐✛❡r❡♥❝❡ ■♥❞❡① ✭◆❉■✮✱ ❙✐♠♣❧❡ ❘❛t✐♦ P✐❣♠❡♥t ■♥❞❡①
✭❙❘P■✮ ❛♥❞ P❤♦t♦❝❤❡♠✐❝❛❧ ❘❡✢❡❝t❛♥❝❡ ■♥❞❡① ✭P❘■✮✱ ❛♥❞ t❤❛t t❤❡ ❧❡❛❢ s②♠♣t♦♠s
✇❡r❡ ♣r♦❞✉❝❡❞ ❜② ❘❘❈❘✳ ◆❡✈❡rt❤❡❧❡ss✱ t❤❡ ❝♦❧❧❡❝t❡❞ ❞❛t❛ s❤♦✇❡❞ s✐❣♥✐✜❝❛♥t ❝♦r✲
r❡❧❛t✐♦♥s ❜❡t✇❡❡♥ t❤❡ ❜✐♦♠❛ss ♦❢ ❧❡❛✈❡s ❛♥❞ ❜❡❡ts✱ ♠❛❦✐♥❣ t❤❡ ♦❜t❛✐♥❡❞ ✈❛❧✉❡s ♦❢
t❤❡ ❧❡❛❢✲♣✐❣♠❡♥t ✐♥❞❡①❡s ❝♦♥tr❛❞✐❝t♦r②✳ ❊❛r❧② ❞❡t❡❝t✐♦♥ ♦❢ ❘❘❈❘ ✇❛s ♥♦t ♣❡r✲
❢♦r♠❡❞ ✐♥ t❤✐s st✉❞②✱ ❜✉t t❤❡ ❛✉t❤♦rs s✉❣❣❡st❡❞ t♦ ✐♥✈❡st✐❣❛t❡ t❤❡ t✐ss✉❡ ❧❡✈❡❧
♠♦r❡ ✐♥ ❞❡t❛✐❧ t♦ ❜❡tt❡r ✉♥❞❡rst❛♥❞ t❤❡ ❜❡❤❛✈✐♦r ♦❢ t❤❡ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡ ❜② t❤❡
❙✉❣❛r❜❡❡t✲❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥t❡r❛❝t✐♦♥ ❬✷✷❪✳
❯♥❞❡r ✜❡❧❞ ❝♦♥❞✐t✐♦♥s✱ ♥♦♥✲✐♠❛❣✐♥❣ ❛♥❞ ✐♠❛❣✐♥❣ ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ✇❡r❡
✉s❡❞ t♦ st✉❞② ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ♦♥ s✉❣❛r ❜❡❡t✳ ❲✐t❤ ❛ ♥♦♥✲✐♠❛❣✐♥❣ s❡♥✲
s♦r✱ ❝❤❧♦r♦♣❤②❧❧✲❝♦♥t❡♥t ❙❱■s s✉❝❤ ❛s ❖❙❆❱■✱ t❤❡ ♠♦❞✐✜❡❞ ❙♣❡❝tr❛❧ ❘❛t✐♦ ✭♠❙❘✮
❛♥❞ P✐❣♠❡♥t ❙♣❡❝✐✜❝ ❙✐♠♣❧❡ ❘❛t✐♦s ❢♦r ❝❤❧♦r♦♣❤②❧❧ ❛ ✭P❙❙❘❛✮✱ ❛♥❞ ❛❧s♦ ♦t❤❡r
✻
❈❍❆P❚❊❘ ✷✳
■◆❚❘❖❉❯❈❚■❖◆
❙❱■s ❛ss♦❝✐❛t❡❞ ✇✐t❤ ✇❛t❡r ❝♦♥t❡♥t✱ ✇❡r❡ ❝♦rr❡❧❛t❡❞ ✇✐t❤ t❤❡ s❡✈❡r✐t② ♦❢ ❘❘❈❘✳
❍♦✇❡✈❡r✱ ❞❡s♣✐t❡ t❤❡ ❝♦rr❡❧❛t✐♦♥✱ t❤❡ ❞✐s❡❛s❡ ❝❛♥♥♦t ❜❡ ❞❡t❡❝t❡❞ r❡♠♦t❡❧② ✉♥t✐❧
s✉❣❛r❜❡❡t r♦♦ts ❛r❡ ✷✺ t♦ ✺✵✪ r♦tt❡❞ ❬✷✸❪✳ ❲✐t❤ ✐♠❛❣✐♥❣ s❡♥s♦rs ❛♥❞ ✇✐t❤ ❛ ✜❡❧❞
s❝❛❧❡✱ ✐t ✇❛s r❡♣♦rt❡❞ t❤❛t t❤❡ s♣❛t✐❛❧ r❡s♦❧✉t✐♦♥ ❝♦✉❧❞ ❜❡ ❝r✐t✐❝❛❧ ❜❡❝❛✉s❡ ✐t ♦❢t❡♥
❧❡❛❞s t♦ ♠✐①❡❞ ♣✐①❡❧s ♦❜t❛✐♥❡❞ ❢r♦♠ ✐♥❢❡❝t❡❞ ❛♥❞ ❤❡❛❧t❤② ♣❧❛♥ts✳ ❚❤❡ st✉❞② r❡❝✲
♦♠♠❡♥❞s ♥♦t ✉s✐♥❣ tr❛❞✐t✐♦♥❛❧ ❙❱■s t♦ ❛✈♦✐❞ t❤❡ ❧♦ss ♦❢ ✐♠♣♦rt❛♥t s❡❣♠❡♥ts ♦❢
s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ❢♦r ❘❘❈❘ ❞❡t❡❝t✐♦♥ ❬✷✵❪✳ ■♥ ♦t❤❡r s✐♠✐❧❛r st✉❞✐❡s✱ ❜✉t ✇✐t❤ ❛
♠✉❧t✐s♣❡❝tr❛❧ ✐♠❛❣✐♥❣ s❡♥s♦r✱ ✐t ✇❛s r❡♣♦rt❡❞ t❤❛t ❣r♦✉♣s ♦❢ ✇❛✈❡❧❡♥❣t❤s ❛r❡ ❛ss♦✲
❝✐❛t❡❞ ✇✐t❤ ❘❘❈❘ ✐♥❢❡❝t✐♦♥ ✭✺✽✷✲✻✵✷ ♥♠✱ ✻✶✺✲✻✸✹ ♥♠✱ ✻✻✸✲✻✻✺ ♥♠✱ ❛♥❞ ✻✼✾✲✻✾✾
♥♠✮ ❬✷✺❪✱ ❤♦✇❡✈❡r✱ ❛ st✉❞② ✉s✐♥❣ t❤❡ ❖❙❆❱■ ✐♥❞❡① r❡❛✣r♠❡❞ t❤❛t ❞❡t❡❝t✐♦♥ ♦❢
❘❘❈❘ ♦❝❝✉rs t♦♦ ❧❛t❡ ❢♦r ✐♠♣❧❡♠❡♥t❛t✐♦♥ ♦❢ r❡♠❡❞✐❛❧ ♠❛♥❛❣❡♠❡♥t ♠❡❛s✉r❡s ❬✷✹❪✳
❋✐♥❛❧❧②✱ ❞❡s♣✐t❡ t❤❡ ❧✐♠✐t❛t✐♦♥s ❢♦r ❡❛r❧② ❞❡t❡❝t✐♦♥✱ ♠✉❧t✐s♣❡❝tr❛❧ ❛♥❞ ❤②♣❡rs♣❡❝✲
tr❛❧ ✐♠❛❣✐♥❣ ♦♥ ❛ ✜❡❧❞ s❝❛❧❡ ♠❛② ❜❡ ✉s❡❢✉❧ t♦ ✐❞❡♥t✐❢② ❛r❡❛s ✇✐t❤ ♣♦t❡♥t✐❛❧❧② ❤✐❣❤
❘✳ s♦❧❛♥✐ ✐♥♦❝✉❧✉♠ ❢♦r ❢✉t✉r❡ ❣r♦✇✐♥❣ s❡❛s♦♥s✱ ❜❡❝❛✉s❡ ✐t ❛❧❧♦✇s ❣r♦✇❡rs t♦ ♣❧❛♥
❛♥❞ ✐♠♣❧❡♠❡♥t str❛t❡❣✐❝ ♠❛♥❛❣❡♠❡♥t str❛t❡❣✐❡s ❢♦r t❤❡ ❝♦♥tr♦❧ ❬✷✵✱ ✷✸✱ ✷✹❪✳
✷✳✻ ❖❜❥❡❝t✐✈❡ ♦❢ t❤❡ st✉❞②
■♥ ♦r❞❡r t♦ ✐♥✈❡st✐❣❛t❡ t❤❡ ♣♦t❡♥t✐❛❧ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦rs ❢♦r t❤❡ ❞❡t❡❝t✐♦♥ ♦❢
❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥ s✉❣❛r❜❡❡ts✱ t✐♠❡✲s❡r✐❡s ♠❡❛s✉r❡♠❡♥ts ♦❢ ❱■❙◆■❘✲❤②♣❡rs♣❡❝tr❛❧
✐♠❛❣❡s ✐♥ ❛ s✐♥❣❧❡ ♣❧❛♥t s❝❛❧❡ ❛♥❞ ✉♥❞❡r ❝♦♥tr♦❧❧❡❞ ❝♦♥❞✐t✐♦♥s ✇❡r❡ ♣❡r❢♦r♠❡❞
❛♥❞ ❡①❛♠✐♥❡❞✳ ❚❤❡ ♦✈❡r❛❧❧ ❣♦❛❧ ♦❢ t❤❡ ♣r❡s❡♥t st✉❞② ✇❛s t♦ ✉♥❞❡rst❛♥❞ ❤♦✇
t❤❡ s✉❣❛r❜❡❡t✲❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥t❡r❛❝t✐♦♥ ✐♥✢✉❡♥❝❡s t❤❡ s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡
s✐❣♥❛t✉r❡ ❞✉r✐♥❣ t❤❡ ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞ ❝r♦✇♥ r♦t ❞✐s❡❛s❡✳
❚❤❡ ✐♥♦❝✉❧✉♠ ❞❡♥s✐t② ❝r✐t❡r✐❛ ✇❡r❡ ❝♦♥s✐❞❡r❡❞ t♦ ♦❜s❡r✈❡ t✇♦ ❞✐✛❡r❡♥t ❞✐s❡❛s❡
✐♥❝✐❞❡♥ts ❛♥❞ t♦ ❞❡t❡r♠✐♥❡ ❤♦✇ t❤✐s ❢❛❝t♦r ❝♦✉❧❞ ❛✛❡❝t t❤❡ s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡
s✐❣♥❛t✉r❡✳
❚❤❡ s♣❡❝✐✜❝ ♦❜❥❡❝t✐✈❡s ✇❡r❡✿
• ❉❡✜♥❡ ❛♥ ✐♠❛❣✐♥❣ ♠❡t❤♦❞ t♦ ♦❜t❛✐♥ t❤❡ ❱■❙◆■❘ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ❢♦r
♣❧❛♥ts ❞✐s❡❛s❡❞ ✇✐t❤ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞ ❝r♦✇♥ r♦t
• ❉❡t❡r♠✐♥❛t❡ t❤❡ ❡✛❡❝t ♦❢ ❧♦✇ ❛♥❞ ❤✐❣❤ ❝♦♥❝❡♥tr❛t✐♦♥ ♦❢ ✐♥♦❝✉❧✉♠ ♦♥ s✉❣❛r
❜❡❡t r❡✢❡❝t❛♥❝❡
• ❊✈❛❧✉❛t❡ t❤❡ ♣♦ss✐❜✐❧✐t② ♦❢ ❡❛r❧② ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❜② ✉s✐♥❣
❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣
• ❊✈❛❧✉❛t❡ t❤❡ ♣♦ss✐❜✐❧✐t② ♦❢ ❛ ♣r❡❝✐s❡ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❜② ✉s✐♥❣
❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣
✼
✸ ▼❛t❡r✐❛❧ ❛♥❞ ♠❡t❤♦❞s
✸✳✶ ❇✐♦❧♦❣✐❝❛❧ ♠❛t❡r✐❛❧
✸✳✶✳✶ P❧❛♥t ♠❛t❡r✐❛❧ ♣r♦❞✉❝t✐♦♥
❚❤❡ ✈❛r✐❡t② ❙❛❜r✐♥❛ ✭s✉s❝❡♣t✐❜❧❡ t♦ ❘❘❈❘✱ ❑❲❙ ●♠❜❍✱ ❊✐♥❜❡❝❦✱ ●❡r♠❛♥②✮ ♦❢
s✉❣❛r ❜❡❡t ❇❡t❛ ✈✉❧❣❛r✐s ▲✳ ss♣✳ ✈✉❧❣❛r✐s ✇❛s ✉s❡❞ ✐♥ t❤✐s st✉❞②✳ ❚❤❡ ✐♠♣❧❡♠❡♥t❡❞
s❡❡❞s ✇❡r❡ tr❡❛t❡❞ ✇✐t❤ ✷ ✐♥s❡❝t✐❝✐❞❡s✱ ❚❤✐❛♠❡t❤♦①❛♠ ✻✵ ❣✴❯ ✭✶✵✵✳✵✵✵ s❡❡❞s✮ ❛♥❞
❚❡✢✉t❤r✐♥ ✭✽ ❣✴❯✮ ❜② ♣❡❧❧❡t✐♥❣✱ ❛♥❞ s❡❡❞s ✇❡r❡ ♥♦t tr❡❛t❡❞ ✇✐t❤ ❢✉♥❣✐❝✐❞❡s✳ ❋♦r
♣❧❛♥t✐♥❣✱ ✺✵ sq✉❛r❡ ♣♦ts ✭✼ × ✼ × ✶✽ ❝♠✮ ✜❧❧❡❞ ✇✐t❤ ❛ ♠✐①t✉r❡ ♦❢ s❛♥❞② ✜❡❧❞ s♦✐❧
✭∼ ✶✪ ❝❛r❜♦♥ ❝♦♥t❡♥t✮✱ ❝♦❛rs❡ r✐✈❡r s❛♥❞ ✭✸✿ ✶ ✇✴✇✱ ♣❍ ✻✳✾✮ ❛♥❞ ❢❡rt✐❧✐③❡r ❬✷✻❪
✇❡r❡ ♣r❡♣❛r❡❞ ❛♥❞ t✇♦ s❡❡❞s ♣❡r ♣♦t ✇❡r❡ s♦✇♥ ❞✐r❡❝t❧② ✐♥t♦ ✐t✳ ❚❡♥ ❞❛②s ❛❢t❡r
♣❧❛♥t✐♥❣✱ t❤❡ ♣❧❛♥t ❞❡♥s✐t② ✇❛s r❡❞✉❝❡❞ t♦ ✶ ♣❡r ♣♦t ❜② s❡❧❡❝t✐♥❣ ♦♥❧② t❤❡ ♠♦st
✈✐❣♦r♦✉s s❡❡❞❧✐♥❣✳ ❚❤❡ s❡❡❞❧✐♥❣s✴②♦✉♥❣ ♣❧❛♥ts ✇❡r❡ ✇❛t❡r❡❞ ❛❝❝♦r❞✐♥❣ t♦ t❤❡✐r
♥❡❡❞✳ P❧❛♥ts ✇❡r❡ ❢❡rt✐❧✐③❡❞ t❤r❡❡ ✇❡❡❦s ❛❢t❡r ♦❢ s♦✇✐♥❣ ❞❛t❡ ✇✐t❤ ✺✵ ♠❧ ♦❢ ❛ ✷ ✪
◆P❑ ❢❡rt✐❧✐③❡r ✭✼ ✰ ✺ ✰ ✻✱ ❯♥✐✈❡rs❛❧❞✉❡♥❣❡r✱ ❊❉❊❑❆ ❆●✱ ❍❛♠❜✉r❣✱ ●❡r♠❛♥②✮✱
❛❢t❡r ✇❤✐❝❤ ❢✉rt❤❡r ❢❡rt✐❧✐③❛t✐♦♥ tr❡❛t♠❡♥ts t♦♦❦ ♣❧❛❝❡ ❡✈❡r② ✷ ✇❡❡❦s✳ ❉✉r✐♥❣ t❤❡
❣❡r♠✐♥❛t✐♦♥ ❛♥❞ ❧❡❛❢ ❞❡✈❡❧♦♣♠❡♥t st❛❣❡s ✭❇❇❈❍ ✵✲✶✽✮ t❤❡ ♣❧❛♥ts ✇❡r❡ ❣r♦✇♥ ✐♥
❛ ❣r❡❡♥❤♦✉s❡ ✇✐t❤ ❛❞❞✐t✐♦♥❛❧ ❛rt✐✜❝✐❛❧ ❧✐❣❤t ♦❢ ✸✾✵ µmol.s−1 .m−2 ❢♦r ✶✷ ❤ ❛ ❞❛②
✉♥t✐❧ t❤❡ ✐♥♦❝✉❧❛t✐♦♥ ❞❛②✳
✸✳✶✳✷ ❋✉♥❣❛❧ ❛❣❡♥t ❛♥❞ ♣❧❛♥t ✐♥♦❝✉❧❛t✐♦♥
❘❤✐③♦❝t♦♥✐❛ ✐♥♦❝✉❧✉♠ ✇❛s ♣r❡♣❛r❡❞ ❢r♦♠ ❛ ❤✐❣❤❧② ❛❣❣r❡ss✐✈❡ ✐s♦❧❛t❡ ♦❢ ❘✳s♦❧❛♥✐✱
❛♥❛st♦♠♦s✐s ❣r♦✉♣ ❆● ✷✲✷■■■❇ ✭■♥st✐t✉t❡ ♦❢ ❙✉❣❛r ❇❡❡t ❘❡s❡❛r❝❤✲■❢❩✱ ●♦❡tt✐♥❣❡♥✱
●❡r♠❛♥②✮✳ ❚❤✐s ✐s♦❧❛t❡ ✇❛s ✐♥✐t✐❛❧❧② ♣r❡s❡r✈❡❞ ❛s ❛ ❧♦♥❣✲t❡r♠ ❝✉❧t✉r❡ ♦♥ P♦t❛t♦
❉❡①tr♦s❡ ❆❣❛r ✭P❉❆✮ ❛t ✲✽✵◦ ❈✳ ❚♦ ❛❝t✐✈❛t❡ ✐t✱ ♣✐❡❝❡ ♦❢ ✐s♦❧❛t❡ ✇❛s ♣❧❛❝❡❞ ✐♥ ❛
♣❡tr✐ ❞✐s❤ ✇✐t❤ P❉❆✱ ❛♥❞ s✉❜s❡q✉❡♥t❧②✱ ✐t ✇❛s st♦r❡❞ ❛t ✷✵◦ ❈ ✐♥ t❤❡ ❞❛r❦ ❢♦r ✶✵
❞❛②s ❜❡❢♦r❡ ✐♥❢❡st✐♥❣ ❜❛r❧❡② ❣r❛✐♥s✳ ❚❤❡ ✜♥❛❧ ✐♥♦❝✉❧✉♠ ✇❛s ♣r❡♣❛r❡❞ ❛s ❢♦❧❧♦✇s✳
❋✐rst✱ t❤❡ ♥❡✇ s♦❧✐❞ s✉❜str❛t❡ ✭❇❛r❧❡② ❣r❛✐♥s✮ ✇❛s s♦❛❦❡❞ ❢♦r ✷✹❤ ❛♥❞ ❛✉t♦❝❧❛✈❡❞
✭✶✷✶◦ ❈ ❢♦r ✷✵ ♠✐♥✮✳ ❚❤❡♥✱ ❛ ♣✐❡❝❡ ♦❢ ❛❣❛r ❢r♦♠ t❤❡ ✶✵✲❞❛②✲♦❧❞ ♣❛t❤♦❣❡♥ ✇❛s
♣❧❛❝❡❞ ✐♥ ❛ ✺✵✵ ♠❧ ✢❛s❦ ✇✐t❤ ✷✵✵ ❣ ♦❢ t❤❡ st❡r✐❧✐③❡❞ ❣r❛✐♥s✳ ❚❤✐s s②st❡♠ ✇❛s
✐♥❝✉❜❛t❡❞ ❢♦r ✷ ✇❡❡❦s ❛t ✷✵◦ ❈ ✐♥ t❤❡ ❞❛r❦✳ ■t ✇❛s s❤❛❦❡♥ ❡✈❡r② ✷ ❞❛②s t♦ ❡♥s✉r❡
✉♥✐❢♦r♠ ❝♦❧♦♥✐③❛t✐♦♥ ♦❢ t❤❡ ♠✐①❡❞ s✉❜str❛t❡✳ ❆❢t❡r ✐♥❝✉❜❛t✐♦♥✱ t❤❡ ✐♥♦❝✉❧✉♠ ✇❛s
❛✐r✲❞r✐❡❞✳ ❚♦ ♣r♦✈❡ ✐ts ❡✣❝✐❡♥❝②✱ t✇♦ t❡sts ✇❡r❡ ❡①❡❝✉t❡❞✿ ✭✶✮ t❤❡ q✉❛❧✐t② t❡st✱ ❜②
♣❧❛❝✐♥❣ ✶✵ ❣r❛✐♥s ✐♥ ❛ ♣❡tr✐ ❞✐s❤ ✇✐t❤ P❉❆ ✭❋✐❣✉r❡ ✽✳✶✮❀ ✭✷✮ ❛♥❞ t❤❡ ♣❛t❤♦❣❡♥✐❝✐t②
t❡st✱ ❜② ♣❧❛❝✐♥❣ ❣r❛✐♥s ✐♥ s✉❣❛r ❜❡❡ts ②♦✉♥❣ ♣❧❛♥ts✳ ❋✐♥❛❧❧②✱ t❤❡ ✐♥♦❝✉❧✉♠ ✇❛s
st♦r❡❞ ✐♥ ❞❛r❦♥❡ss ❛t r♦♦♠ t❡♠♣❡r❛t✉r❡ ✉♥t✐❧ ♣❧❛♥t ✐♥❢❡st❛t✐♦♥✳
❚❤❡ ❡✐❣❤t✲✇❡❡❦✲♦❧❞ ♣❧❛♥ts ✭❇❇❈❍ ✶✽✮ ✇❡r❡ ❛rr❛♥❣❡❞ ✐♥ t❤r❡❡ tr❡❛t♠❡♥ts✿ ❝♦♥✲
tr♦❧✱ ❧♦✇✲✱ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✱ ❡❛❝❤ tr❡❛t♠❡♥t ✇✐t❤ ✶✺ ♣❧❛♥ts✱ ♣♦ts ♦r
r❡♣❡t✐t✐♦♥s✳ ❋♦r t❤❡ ✧❧♦✇ ✐♥♦❝✉❧❛t❡❞✧ s❛♠♣❧❡s✱ t❤❡ ✐♥❢❡st❡❞ ❜❛r❧❡② ❣r❛✐♥s ✇❡r❡
✜rst ❝✉t ✐♥ ❤❛❧❢✳ ❚❤❡♥✱ ✐♥ ❡❛❝❤ ♣♦t✱ ❢♦✉r ❤♦❧❡s ✇✐t❤ ❛ ❞❡❡♣ ♦❢ ✷ ❝♠ ✇❡r❡ ♠❛❞❡
✽
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❛❞❥❛❝❡♥t t♦ t❤❡ ❡①♣♦s❡❞ t❛♣r♦♦t ❜② r❡♠♦✈✐♥❣ s♦✐❧✳ ◆❡①t✱ ♦♥❡ ❤❛❧❢✲❣r❛✐♥ ✇❛s ♣❧❛❝❡❞
✐♥ ❡❛❝❤ ❤♦❧❡✱ ✇❤✐❝❤ ✇❛s ❛❢t❡r✇❛r❞s r❡✲❝♦✈❡r❡❞ ✇✐t❤ s♦✐❧✳ ❋♦r t❤❡ ✧❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✧
s❛♠♣❧❡s✱ t❤❡ ♣r♦❝❡❞✉r❡ ✇❛s ❡①❡❝✉t❡❞ ✇✐t❤ ❛ s♠❛❧❧ ♠♦❞✐✜❝❛t✐♦♥✱ ✇❤❡r❡ ✐♥❢❡st❡❞
❜❛r❧❡② ❣r❛✐♥s ✇❡r❡ ♣❧❛❝❡❞ ✇❤♦❧❡✱ t❤❡r❡❜② ❞♦✉❜❧✐♥❣ t❤❡ ♣❛t❤♦❣❡♥ ❝♦♥❝❡♥tr❛t✐♦♥ ♦❢
t❤✐s tr❡❛t♠❡♥t✳
■♥ ❝❛s❡ t❤❡ ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❢✉♥❣✐ ✐♥ ❤♦st ✇♦✉❧❞ ♥♦t t❛❦❡ ♣❧❛❝❡✱ ✷ ❛♥❞ ✸ s❛♠♣❧❡s
✇❡r❡ ❛❞❞✐t✐♦♥❛❧❧② ✐♥♦❝✉❧❛t❡❞ ✇✐t❤ ❢♦✉r✲❤❛❧❢ ❛♥❞ ❢♦✉r✲❡♥t✐r❡ ❣r❛✐♥s✱ r❡s♣❡❝t✐✈❡❧②✳
❚❤❡ r❡s✉❧t✐♥❣ ✺✵ s❛♠♣❧❡s ✇❡r❡ tr❛♥s❢❡rr❡❞ t♦ ❛ ♥❡✇ ❣r❡❡♥❤♦✉s❡ ❛♥❞ ❦❡♣t ✉♥❞❡r
t❤❡ ❢♦❧❧♦✇✐♥❣ ❝♦♥❞✐t✐♦♥s✿ ✷✹◦ ❈ ✭❞❛②✮✴✶✽◦ ❈ ✭♥✐❣❤t✮✱ ✇✐t❤ ❛❞❞✐t✐♦♥❛❧ ❛rt✐✜❝✐❛❧ ❧✐❣❤t
♦❢ ✸✾✵ µ♠♦❧ s−1 ♠−2 ❢♦r ✶✷ ❤ ❛ ❞❛②✱ ❛♥❞ ✇✐t❤ ❛♥ ❛❞❥✉st❡❞ r❡❧❛t✐✈❡ ❤✉♠✐❞✐t② ♦❢ ✼✵
t♦ ✽✵ ✪✳ ■♥ t❤❡ ♥❡✇ ❣r❡❡♥❤♦✉s❡ t❤❡ s❛♠♣❧❡s ✇❡r❡ ♦r❞❡r❡❞ r❛♥❞♦♠❧②✳ ■♥ ❛❞❞✐t✐♦♥✱
t❤❡ t❡♠♣❡r❛t✉r❡ ❛♥❞ ❛❞❥✉st❡❞ r❡❧❛t✐✈❡ ❤✉♠✐❞✐t② ♦❢ t❤❡ ❛✐r ✇❡r❡ ♠♦♥✐t♦r❡❞ ❡❛❝❤
❤♦✉r ✉♥t✐❧ ❤❛r✈❡st✐♥❣✳
✸✳✷ ❊✈❛❧✉❛t✐♦♥ ♦❢ s✉❣❛r ❜❡❡t ❧❡❛✈❡s
✸✳✷✳✶ ▲❡❛❢ r❡✢❡❝t❛♥❝❡ ♠❡❛s✉r❡♠❡♥ts ❛♥❞ ❤②♣❡rs♣❡❝tr❛❧
❞❛t❛ ❛❝q✉✐s✐t✐♦♥
▲❡❛❢ r❡✢❡❝t❛♥❝❡ ✇❛s r❡❝♦r❞❡❞ ❜② t❤❡ ❤②♣❡rs♣❡❝tr❛❧ s❡♥s♦r ❡✐❣❤t t✐♠❡s ✐♥ t♦t❛❧✳
❚❤❡ ✜rst ♠❡❛s✉r❡♠❡♥t st❛rt❡❞ ♦♥❡ ❞❛② ❜❡❢♦r❡ ✐♥♦❝✉❧❛t✐♦♥ ✭❞❜✐✮✳ ❋✉rt❤❡r s❝❛♥♥✐♥❣
❞❛t❡s t♦♦❦ ♣❧❛❝❡ ❛❢t❡r t❤❡ ✐♥♦❝✉❧❛t✐♦♥ ✇✐t❤ t❤r❡❡ t✐♠❡s ♣❡r ✇❡❡❦ st❛rt✐♥❣ ❢r♦♠
t❤r❡❡ ❞❛②s ❛❢t❡r ✐♥♦❝✉❧❛t✐♦♥ ✭❞❛✐✮ t♦ ✶✼ ❞❛✐ ✭❋✐❣✉r❡ ✸✳✶✮✳
❋✐❣✉r❡ ✸✳✶✿ ❚✐♠❡ ❧✐♥❡ ♦❢ s♦✇✐♥❣✲ ✱ ✐♥♦❝✉❧❛t✐♦♥✲ ❛♥❞ ❤❛r✈❡st✐♥❣✲ ✐♥ r❡❧❛t✐♦♥ ✇✐t❤
❧❡❛❢✲r❡✢❡❝t❛♥❝❡✲s❝❛♥♥✐♥❣✲❞❛t❡s
✸✳✷✳✷ ❉✐s❡❛s❡ r❛t✐♥❣ ❞✉r✐♥❣ ♣❛t❤♦❣❡♥ ❞❡✈❡❧♦♣♠❡♥t
P❛r❛❧❧❡❧ t♦ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣✱ ❛❜♦✈❡❣r♦✉♥❞ ❧❡❛❢ s②♠♣t♦♠s ♦❢ ❘❘❈❘ ✇❛s
r❛t❡❞ ❛t ❡❛❝❤ ♠❡❛s✉r❡♠❡♥t ❜❛s❡❞ ♦♥ ❧❡❛❢ s②♠♣t♦♠s s✉❝❤ ❛s ✇✐❧t✐♥❣✱ ②❡❧❧♦✇✐♥❣
♦r ♥❡❝r♦s✐s ♦♥ ❛ s❝❛❧❡ ❢r♦♠ ✵ ✭♣❧❛♥t ❤❡❛❧t❤②✱ ♥♦ s②♠♣t♦♠s ♦♥ t❤❡ ♣❡t✐♦❧❡s✮ t♦ ✻
✭♣❧❛♥t ❞❡❛❞✱ ❧❡❛❢ ❜r♦✇♥ ❛♥❞ ♥❡❝r♦t✐❝✱ ❚❛❜❧❡ ✽✳✶✮✳
✾
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❚❛❜❧❡ ✸✳✶✿ ❚❡❝❤♥✐❝❛❧ s♣❡❝✐✜❝❛t✐♦♥s ♦❢ t❤❡ ❙♣❡❝✐♠ ■◗ ❝❛♠❡r❛ ❛♥❞ r❡❝♦r❞❡❞ ✐♠❛❣❡s
P❛r❛♠❡t❡r
❱❛❧✉❡
❉❛t❛ ❢♦r♠❛t
❙♣❡❝✐♠ ❞❛t❛ s❡t ✇✐t❤ ❊◆❱■ ❝♦♠♣❛t✐❜❧❡ ❞❛t❛ ✜❧❡s
❉❛t❛ ♦✉t♣✉t
✶✷ ❜✐t
❋✐❡❧❞ ♦❢ ✈✐❡✇
✸✶◦ × ✸✶◦
❋✐❡❧❞ ♦❢ ✈✐❡✇ ❛t ✶ ♠ ❞✐st❛♥❝❡
✵✳✺✺ × ✵✳✺✺ ♠
❲❛✈❡❧❡♥❣t❤ r❛♥❣❡
✹✵✵ ✲ ✶✵✵✵ ♥♠
■♠❛❣❡ r❡s♦❧✉t✐♦♥
✺✶✷ × ✺✶✷ ♣①
❙♣❡❝tr❛❧ r❡s♦❧✉t✐♦♥
✼ ♥♠
❙♣❡❝tr❛❧ ❜❛♥❞s
✷✵✹
■♥t❡❣r❛t✐♦♥s t✐♠❡
✷✶✵ ♠s
✸✳✷✳✸ ■♠❛❣❡✲❛❝q✉✐r✐♥❣ ❞❡✈✐❝❡ ❛♥❞ s②st❡♠ ❢♦r ❧❡❛❢
r❡✢❡❝t❛♥❝❡ ♠❡❛s✉r❡♠❡♥ts
❚❤❡ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ✇❡r❡ ♦❜t❛✐♥❡❞ ❜② t❤❡ ❤❛♥❞✲❤❡❧❞ ❱■❙◆■❘ s❡♥s♦r ❙♣❡❝✐♠
■◗ ❢r♦♠ ❙♣❡❝✐♠ ✭❖✉❧✉✱ ❋✐♥❧❛♥❞✮✳ ❚❤❡ ♠❡❛s✉r❡♠❡♥ts ✇❡r❡ ♣❡r❢♦r♠❡❞ ✉s✐♥❣ t❤❡
♣✉s❤ ❜r♦♦♠ ♣r✐♥❝✐♣❧❡ ✭❧✐♥❡ s❝❛♥♥✐♥❣✮✱ ❛♥❞ ❛❝q✉✐r❡❞ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ❛r❡ ❞❡✲
s❝r✐❜❡❞ ✐♥ ❚❛❜❧❡ ✸✳✶✳
❚❤❡ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ s②st❡♠ ✇❛s s❡t ✉♣ ✐♥ ❛ ❞❛r❦ r♦♦♠ ❛♥❞ ✐s s❤♦✇♥
✐♥ ❋✐❣✉r❡ ✸✳✷✳ ❚❤❡ s②st❡♠ ❝♦♠♣r✐s❡s t❤❡ ❛❜♦✈❡ ❞❡s❝r✐❜❡❞ ❤②♣❡rs♣❡❝tr❛❧ ❝❛♠❡r❛✱
❛ ❧✐❣❤t ♠♦✉♥t✐♥❣ ✇✐t❤ t✇♦ ❤❛❧♦❣❡♥ ❧❛♠♣s ✭P❖❲▲■✵✶✵✱ ❱❆❘❖✱ ❇❡❧❣✐✉♠✮ ❛♥❞
❛ ❜❧✉❡✲❝♦❧♦r❡❞✲♣❧❛t❢♦r♠ t♦ s✐♠♣❧✐❢② t❤❡ ♣❧❛♥t✲s❡❣♠❡♥t❛t✐♦♥ ♣r♦❝❡ss✱ ✇❤❡r❡ t❤❡
♦❜❥❡❝t✐✈❡ ✭s✉❣❛r ❜❡❡t ♣❧❛♥t ❛♥❞ ♣♦t✮ ❛♥❞ ✇❤✐t❡ r❡❢❡r❡♥❝❡ ✭✾✾✪ ❜❛r✐✉♠ s✉❧❢❛t❡✱
❙♣❡❝✐♠✱ ❋✐♥❧❛♥❞✮ ✇❡r❡ ♣❧❛❝❡❞✳
✸✳✷✳✹ ▲❡❛❢✲✐♠❛❣❡ ♣r♦❝❡ss✐♥❣
❘❡✢❡❝t❛♥❝❡ ❚r❛♥s❢♦r♠❛t✐♦♥
❘❛✇ ✐♠❛❣❡s ✇❡r❡ ❝❛❧✐❜r❛t❡❞ ❜② ✉s✐♥❣ t❤❡ ❙♣❡❝✐♠ ■◗ ❙t✉❞✐♦ s♦❢t✇❛r❡ ✭❙♣❡❝✐♠ ■◗✱
❙♣❡❝✐♠✱ ❋✐♥❧❛♥❞✮✱ ✇❤✐❝❤ ✐s ✐♥t❡❣r❛t❡❞ ✐♥t♦ t❤❡ ❝❛♠❡r❛✳ ❋♦r r❡✢❡❝t❛♥❝❡ ♥♦r♠❛❧✐③❛✲
t✐♦♥ ✭♦r tr❛♥s❢♦r♠❛t✐♦♥✮✱ t❤❡ ❘❛✇ ❉❛t❛❝✉❜❡ ✭❘❉✮✱ ❉❛r❦ ❋r❛♠❡ ✭❉❋✮✱ ❛♥❞ ❲❤✐t❡
❘❡❢❡r❡♥❝❡ ✭❲❘✮ ✇❡r❡ r❡❝♦r❞❡❞ s✐♠✉❧t❛♥❡♦✉s❧② ✇✐t❤ t❤❡ s❛♠♣❧❡✳ ❚❤❡ ❢♦❧❧♦✇✐♥❣
❡q✉❛t✐♦♥ ✇❛s t❤❡♥ ♣❡r❢♦r♠❡❞ t♦ ♦❜t❛✐♥ t❤❡ ♥♦r♠❛❧✐③❡❞ ✐♠❛❣❡✿
Rλ =
RD − DF
W R − DF
✭✸✳✶✮
◆♦✐s② ❇❛♥❞ ❘❡♠♦✈❛❧
Pr✐♦r t♦ ❢✉rt❤❡r ♦♣❡r❛t✐♦♥s ❛♥❞ t♦ ❛✈♦✐❞ ♥♦✐s② r❡❣✐♦♥s✱ s♣❡❝tr❛❧ ❜❛♥❞s ❢r♦♠ ✹✵✵ t♦
✹✺✵ ♥♠ ❛♥❞ ❢r♦♠ ✾✺✵ t♦ ✶✵✵✵ ♥♠ ✇❡r❡ r❡♠♦✈❡❞ ❢r♦♠ t❤❡ ♥♦r♠❛❧✐③❡❞ ✐♠❛❣❡s ✉s✐♥❣
t❤❡ s♦❢t✇❛r❡ ❘❙t✉❞✐♦ ✭❘❙t✉❞✐♦ ❚❡❛♠✱ ❇♦st♦♥✱ ▼❆✱ ❯❙❆✮✱ ♣❛❝❦❛❣❡ ✧❝❛t♦♦❧s✧ ❬✷✼❪✳
❙❛✈✐t③❦②✲●♦❧❛② ✜❧t❡r✐♥❣
❚♦ r❡❞✉❝❡ r❛♥❞♦♠ ♥♦✐s❡s✱ t❤❡ ❙❛✈✐t③❦②✲●♦❧❛② ✜❧t❡r✐♥❣ ✇❛s ♣❡r❢♦r♠❡❞ ❬✷✽❪ ✉s✐♥❣
t❤❡ ♣❛❝❦❛❣❡ ✧s✐❣♥❛❧✧ ❬✷✾❪ ♦❢ t❤❡ ❘❙t✉❞✐♦ s♦❢t✇❛r❡✳ ❚❤❡ ❛♣♣❧✐❡❞ ✜❧t❡r ❤❛❞ ❛♥ ♦r❞❡r
✶✵
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❋✐❣✉r❡ ✸✳✷✿ ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ s②st❡♠✳ ✶✮ ❙♣❡❝✐♠ ■◗ ❝❛♠❡r❛✱ ✷✮ ❤❛❧♦❣❡♥
❧❛♠♣s✱ ✸✮t✐❧t ❛♥❣❧❡ ♦❢ t❤❡ ❧❡♥s✿ ∡ ✷✷◦ ✱ ✹✮ ❞✐st❛♥❝❡ ❧❡♥s✲♣♦t✿ ✾✺ ❝♠✱
✺✮✇❤✐t❡ r❡❢❡r❡♥❝❡✱ ✻✮❜❧✉❡✲❝♦❧♦r❡❞ ♣❧❛t❢♦r♠✳
♦❢ ✸ ✭♣ ❂ ✸✮✱ ❛♥❞ ❛ ❧❡♥❣t❤ ♦❢ ✸✶ ✭♥ ❂ ✸✶✮ ❬✸✵❪✳ ❚❤❡ ♦❜t❛✐♥❡❞ s♠♦♦t❤❡❞ ✐♠❛❣❡s
✇❡r❡ s❛✈❡❞ ❛s ❛ ✜❧❡✳
❙❡❧❡❝t✐♦♥ ♦❢ t✇♦ ✐♥❞❡①❡s ❢♦r ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t
❆s ♠♦st ♦❢ t❤❡ ✐♥❞❡①❡s ❛r❡ ❢♦r♠✉❧❛t❡❞ ❢♦r t❤❡ s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❤❡❛❧t❤② ♣❧❛♥ts✱
❜✉t ♥♦t s♣❡❝✐✜❝❛❧❧② t♦ s❡❣♠❡♥t ♣❧❛♥t ❝❛♥♦♣✐❡s ✇✐t❤ s②♠♣t♦♠s ♦❢ ❘❘❈❘✱ ❛ ❧✐st
♦❢ ✐♥❞❡①❡s ✇❡r❡ t❡st❡❞ ❢♦r t❤❡ s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❛ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t✱ ❛
s❛♠♣❧❡ ✇✐t❤ ❤✐❣❤ ❝♦♥❝❡♥tr❛t❡❞ ✐♥♦❝✉❧✉♠ ♦❢ t❤❡ ❧❛st ♠❡❛s✉r❡♠❡♥t ❞❛t❡✱ ❛♥❞ t❤❡
❜❛❝❦❣r♦✉♥❞ ✭❚❛❜❧❡ ✽✳✸✮✳ ❚❤❡ ❜❡st ✐♥❞❡①❡s ✇❡r❡ ✈✐s✉❛❧❧② s❡❧❡❝t❡❞✱ ❛♥❞ t❤❡✐r ♣❡r❢♦r✲
♠❛♥❝❡ ❢♦r ❝❧❛ss✐❢②✐♥❣ ❜❛❝❦❣r♦✉♥❞ ❛♥❞ ♣❧❛♥t ✇❛s ❡✈❛❧✉❛t❡❞ ✐♥❞✐✈✐❞✉❛❧❧②✳ ❋♦r t❤✐s
❡✈❛❧✉❛t✐♦♥✱ ❛ ❜✐♥❛r② ♠❛s❦ ✇❛s ❞r❛✇♥ s❡❧❡❝t✐♥❣ t❤❡ ♣❧❛♥t ✇❤✐❝❤ ✇❛s ❝♦♥s✐❞❡r❡❞ ❛s
❛ r❡❢❡r❡♥❝❡✳ ❚❤❡ ❜❡st ✐♥❞❡①❡s ❢♦r ♣❧❛♥t ❛♥❞ ❜❛❝❦❣r♦✉♥❞ s❡❧❡❝t✐♦♥ ✇❡r❡ ✉s❡❞ ❢♦r
t❤❡ ♥❡①t st❡♣✳
❉♦✉❜❧❡✲♠❛s❦✐♥❣ ❛♥❞ ♣❡r❢♦r♠❛♥❝❡ ❡✈❛❧✉❛t✐♦♥
❆ ❜✐♥❛r② ♠❛s❦ ❢♦r ❡❛❝❤ s❡❧❡❝t❡❞ ✐♥❞❡①❡s ✇❛s ❝r❡❛t❡❞✳ ❇♦t❤ ♠❛s❦s ✇❡r❡ ♠❡r❣❡❞
❜② ✉s✐♥❣ ❛ ❧♦❣✐❝❛❧ ♦♣❡r❛t♦r ✧❖❘✧ ✭❋✐❣✉r❡ ✸✳✸✮✳ ❚♦ ❝♦rr♦❜♦r❛t❡ t❤❡ ❣♦♦❞ ♣❡r✲
❢♦r♠❛♥❝❡ ♦❢ t❤❡ ♦✉t❝♦♠❡✱ ❞♦✉❜❧❡✲♠❛s❦ ♦r ♣r✐♠❛r② ♠❛s❦✱ ✶✵ ✐♠❛❣❡s ✇❡r❡ t❡st❡❞
❢r♦♠ ❞✐✛❡r❡♥t s❛♠♣❧❡s ❛♥❞ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ✭✐♥❝❧✉❞✐♥❣ ✐♠❛❣❡ ✉s❡❞ ✐♥ t❤❡ st❡♣
❜❡❢♦r❡✮✳
✶✶
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❋✐❣✉r❡ ✸✳✸✿ ▲♦❣✐❝❛❧ ♦♣❡r❛t✐♦♥ ✧❖❘✧ ❢♦r ❞♦✉❜❧❡✲♠❛s❦✐♥❣✳ ▼❛s❦ ✶✿ ❜✐♥❛r② ♠❛s❦
❢♦r ♣❧❛♥t s❡❣♠❡♥t❛t✐♦♥ ❀ ♠❛s❦ ✷✿ ❜✐♥❛r② ♠❛s❦ ❢♦r ❜❛❝❦❣r♦✉♥❞ s❡❣✲
♠❡♥t❛t✐♦♥✳
❊r♦s✐♦♥
❆❢t❡r t❤❡ ❞♦✉❜❧❡✲♠❛s❦✐♥❣✱ ❛♥❞ ✐♥ ♦r❞❡r t♦ ❛✈♦✐❞ ♣✐①❡❧s ♥❡❛r t♦ ❧❡❛❢ ❡❞❣❡s ✇✐t❤
♠✐①❡❞ s♣❡❝tr❛❧ ❝❤❛r❛❝t❡r✐st✐❝s✱ t❤❡ ♦✉t❝♦♠❡ ❞❛t❛ ✇❡r❡ s✉❜♠✐tt❡❞ t♦ ❛ ♠♦r♣❤♦✲
❧♦❣✐❝❛❧ ♦♣❡r❛t✐♦♥ ❝❛❧❧❡❞ ✧❊r♦s✐♦♥✧ ❬✸✶❪✳ ❚❤❡ str✉❝t✉r✐♥❣ ❡❧❡♠❡♥t ♦❢ t❤✐s ♦♣❡r❛t✐♦♥
✇❛s t❤❡ ❢♦❧❧♦✇✐♥❣ ♠❛tr✐① ✭3 × 3✮✿

1 1 1
 1 1 1 
1 1 1

❲✐t❤ t❤✐s ♦♣❡r❛t✐♦♥✱ ♣✐①❡❧s ❢r♦♠ t❤❡ ♣r✐♠❛r② ♠❛s❦ t❤❛t ✇❡r❡ ❝♦♥♥❡❝t❡❞ ✇✐t❤
❧❡ss t❤❛♥ ❡✐❣❤t ♥❡✐❣❤❜♦rs ✇❡r❡ ❡①❝❧✉❞❡❞ ❢r♦♠ t❤❡ ♥❡✇ ♦✉t❝♦♠❡ ♠❛s❦ ✭✈❡❣❡t❛t✐♦♥
♠❛s❦✮✳
❙♣❡❝tr❛❧ ❡①tr❛❝t✐♦♥
❱❛❧✉❡s ♦❢ ✶ ❢r♦♠ t❤❡ ✈❡❣❡t❛t✐♦♥ ♠❛s❦ ❝♦rr❡s♣♦♥❞ t♦ t❤❡ ♦❜❥❡❝t✐✈❡ ♣✐①❡❧✱ ❛♥❞
t♦❣❡t❤❡r t❤❡② ❢♦r♠ t❤❡ r❡❣✐♦♥ ♦❢ ✐♥t❡r❡st ✭❘❖■✮✳ ❚❤❡ ❛✈❡r❛❣❡ s♣❡❝tr❛❧ ✈❛❧✉❡ ✇❛s
❝❛❧❝✉❧❛t❡❞ ❢♦r ❡❛❝❤ ❜❛♥❞ ❢r♦♠ t❤❡ ❘❖■ ♦❢ ❡❛❝❤ ✐♠❛❣❡✳ ❆❞❞✐t✐♦♥❛❧❧②✱ t❤❡ ✜rst ❛♥❞
s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ✇❛s ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡ ❛✈❡r❛❣❡ s♣❡❝tr✉♠ ❜② ✉s✐♥❣ t❤❡ ♣❛❝❦❛❣❡
❛♥❞ s♦❢t✇❛r❡ ♠❡♥t✐♦♥❡❞ ❜❡❢♦r❡ ❢♦r t❤❡ ❙❛✈✐t③❦②✲●♦❧❛② ✜❧t❡r✐♥❣✳
✸✳✷✳✺ Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢♦r ❤❡❛❧t❤② ❛♥❞
❞✐s❡❛s❡❞ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥
❋r♦♠ t❤❡ ♣r♦❝❡ss❡❞ ❧❡❛❢ ✐♥❢♦r♠❛t✐♦♥✱ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s❡s ✇❡r❡ ♣❡r✲
❢♦r♠❡❞ ❛t ❡❛❝❤ ♠❡❛s✉r❡♠❡♥t ❞❛t❡ ❛♥❞ ✐♥❞✐✈✐❞✉❛❧❧② ❢♦r r❡✢❡❝t❛♥❝❡✱ ✜rst✲❞❡r✐✈❛t✐✈❡
✶✷
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❛♥❞ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ❞❛t❛ ✭❘✱ ❘✬ ❛♥❞ ❘✑✮✳ ❋♦r t❤✐s ❛♥❛❧②s✐s✱ t❤❡ ♦❜✲
s❡r✈❛t✐♦♥s ✇❡r❡ t❤❡ ♠❡❛♥ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ❢♦r ❡❛❝❤ s❛♠♣❧❡✱ t❤❡ ✈❛r✐❛❜❧❡s
✇❡r❡ t❤❡ r❡✢❡❝t❛♥❝❡ ❜❛♥❞s ❛♥❞ t❤❡✐r ❞❡r✐✈❛t✐✈❡s✱ ❛♥❞ t❤❡ ❢❛❝t♦rs ✇❡r❡ ❤❡❛❧t❤②
❛♥❞ ❞✐s❡❛s❡❞ ♣❧❛♥ts ❢♦r ❝♦♥tr♦❧ ❛♥❞ ❧♦✇✴❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts✳
✐t ✇❛s ♥♦t ❝♦♥s✐❞❡r❡❞ t❤❡ ❝♦♥❝❡♥tr❛t✐♦♥ ♦❢ ✐♥♦❝✉❧✉♠✳
❆t t❤✐s st❛❣❡✱
■♥ t♦t❛❧✱ ✷✹ ❛♥❛❧②s❡s ✭✽
♠❡❛s✉r❡♠❡♥t ❞❛t❡s✱ ✸ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥✿ ❘✱ ❘✬✱ ❘✑✮ ✇❡r❡ ♣❡r❢♦r♠❡❞✳ ❚❤❡
t✇♦✲❞✐♠❡♥s✐♦♥❛❧ ♣❧♦ts ♦❢ ♦❜s❡r✈❛t✐♦♥s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲❝♦♠♣♦♥❡♥t ❝♦♦r❞✐✲
♥❛t❡s s②st❡♠ ✇❡r❡ s❛✈❡❞ ❢♦r ❢✉rt❤❡r ✐♥✈❡st✐❣❛t✐♦♥✳
❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ♦❢ ❜❛♥❞s ❛♥❞ ♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥ts
■♥ ♦r❞❡r t♦ ❛ss❡ss t❤❡ r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ ✈❛r✐❛❜❧❡s ❛♥❞ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥ts✱
❝♦rr❡❧❛t✐♦♥ ❛♥❛❧②s❡s ✇❡r❡ ❛♣♣❧✐❡❞ ❢♦r t❤❡ ✜rst ❛♥❞ s❡❝♦♥❞ ❝♦♠♣♦♥❡♥t✳
✸✳✷✳✻ ❙❡❧❡❝t✐♦♥ ♦❢ r❡❧❡✈❛♥t r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥
❋♦✉r st❡♣s ✇❡r❡ ♥❡❡❞❡❞ t♦ s❡❧❡❝t ✐♠♣♦rt❛♥t ❜❛♥❞s✳ ❋✐rst✱ ❝♦♥s✐❞❡r✐♥❣ t❤❛t s②♠♣✲
t♦♠s ❛r❡ ♠♦r❡ ✐♥t❡♥s❡ ❛t t❤❡ ❡♥❞ ♦❢ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t✱ t❤❡ t✇♦✲❞✐♠❡♥s✐♦♥❛❧
♣❧♦ts ♦❢ P❈❆ ❛♥❞ t❤❡ r❡s♣❡❝t✐✈❡ r❡s✉❧ts ♦❢ ❝♦rr❡❧❛t✐♦♥ ✇✐t❤ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥ts
✇❡r❡ ❡✈❛❧✉❛t❡❞ ❢r♦♠ t❤❡ ❧❛st t♦ ✜rst ♠❡❛s✉r❡♠❡♥t ✭❢r♦♠ ✶✼ ❞❛✐ t♦ ✶ ❞❜✐✮✳ ❙❡❝♦♥❞✱
t❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ✇❛s ✐❞❡♥t✐✜❡❞ ❣r❛♣❤✐❝❛❧❧② ✐♥ t❤❡ s❛✈❡❞ t✇♦✲❞✐♠❡♥s✐♦♥❛❧
♣❧♦ts ♣❡r ❡❛❝❤ ❞❛t❡ ✇❤❡♥ ❤❡❛❧t❤② ❛♥❞ ❞✐s❡❛s❡❞ ❣r♦✉♣s ✇❡r❡ ❝❧❡❛r❧② ❞✐✛❡r❡♥t✐❛t❡❞✳
❚❤✐r❞✱ ❞✉❡ t♦ t❤❡ ❤✐❣❤ ♥✉♠❜❡r ♦❢ s✐❣♥✐✜❝❛♥t ❝♦rr❡❧❛t✐♦♥s ❜❡t✇❡❡♥ ❜❛♥❞s ❛♥❞ ♣r✐♥✲
❝✐♣❛❧ ❝♦♠♣♦♥❡♥t✱ t❤❡ ❜❛♥❞s ✇✐t❤ ❛♥ ❛❜s♦❧✉t❡ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡ ♦❢ ✵✳✾ ♦r
❤✐❣❤❡r t❤❛♥ t❤✐s ❝♦rr❡❧❛t✐♦♥ ✈❛❧✉❡ ✇❡r❡ ❝❤♦s❡♥✳ ❋✐♥❛❧❧②✱ t❤❡ ✐❞❡♥t✐✜❡❞ ❜❛♥❞s ✇✐t❤
❛ ❝♦♥s✐st❡♥t ♣r❡s❡♥❝❡ ♦♥ t❤❡ t✐♠❡✲s❡r✐❡s ✇❡r❡ ✜❧t❡r❡❞ ✭❋✐❣✳ ✸✳✹✮✳ ❚❤✐s ♣r♦❝❡❞✉r❡
✇❛s ❡①❡❝✉t❡❞ ✐♥❞❡♣❡♥❞❡♥t❧② ❢♦r ❘✱ ❘✬ ❛♥❞ ❘✑✳
✸✳✷✳✼ ❙t❛t✐st✐❝❛❧ ❛♥❛❧②s✐s
❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ❜❡t✇❡❡♥ s❡❧❡❝t❡❞ ❜❛♥❞s ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡
❆❧❧ t❤❡ s❡❧❡❝t❡❞ ✈❛r✐❛❜❧❡s ✇❡r❡ t❡st❡❞ ✇✐t❤ t❤❡ ❝♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s t♦ ♦❜s❡r✈❡
t❤❡ ❞❡❣r❡❡ ♦❢ ❞❡♣❡♥❞❡♥❝②✳ ❚♦ ❞♦ t❤✐s✱ t❤❡ ❞❛t❛ ♦❢ ❡❛❝❤ ✈❛r✐❛❜❧❡ ✇❛s t❡st❡❞ ❢♦r
♥♦r♠❛❧✐t② ✇✐t❤ t❤❡ ❙❤❛♣✐r♦ t❡st ✭p
< 0.05✮✳
❙✉❜s❡q✉❡♥t❧②✱ t❤❡ r❡❧❛t✐♦♥s❤✐♣ ❧❡✈❡❧
♦❢ t❤❡s❡ ❜❛♥❞s ✇❛s t❡st❡❞ ❜② ❛♣♣❧②✐♥❣ t❤❡ ❝♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ✇✐t❤ t❤❡ ✧P❡❛rs♦♥✧
❛♥❞ ✧❑❡♥❞❛❧❧✑ ♠❡t❤♦❞s ✭p
< 0.05✮✳
❚❤✐s ♣r♦❝❡❞✉r❡ ✇❛s ❡①❡❝✉t❡❞ ✐♥❞❡♣❡♥❞❡♥t❧②
❢♦r ❘✱ ❘✬ ❛♥❞ ❘✑✳
✸✳✷✳✽ ❙✉♣♣♦rt ✈❡❝t♦r ♠❛❝❤✐♥❡ ❢♦r ❝❧❛ss✐✜❝❛t✐♦♥
❉❛t❛ ♣r❡♣r♦❝❡ss✐♥❣
❚❤❡ ♥✉♠❜❡r ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ♦♥ ❡❛❝❤ ♠❡❛s✉r❡♠❡♥t ❞❛t❡ ✇❤❡♥ t❤❡ s②♠♣✲
t♦♠s ♦❢ ❘❘❈❘ ✇❡r❡ ♦❜✈✐♦✉s ✭✶✵ ✐♠❛❣❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✷✺ ✐♠❛❣❡s ♦❢ ✐♥♦❝✉❧❛t❡❞
s❛♠♣❧❡s ❛t ❧❛st t✇♦ ❞❛t❡s ♦❢ ♠❡❛s✉r❡♠❡♥t✮ ✇❛s ❧✐♠✐t❡❞✳
❆❧t❤♦✉❣❤ t❤❡ ✐♠❛❣❡s
✶✹ ❛♥❞ ✶✼ ❞❛✐ ✇❡r❡ ♠❡r❣❡❞ t♦ ✐♥❝r❡❛s❡ t❤❡ ♥✉♠❜❡r ♦❢ ♦❜s❡r✈❛t✐♦♥s ✭✼✺ ✐♠❛❣❡s✮✱
t❤✐s ♥✉♠❜❡r ✇❛s st✐❧❧ ✐♥s✉✣❝✐❡♥t t♦ ❞❡✈❡❧♦♣ ❛ r♦❜✉st ♠♦❞❡❧✳ ❋♦r t❤✐s r❡❛s♦♥✱ t❤❡
❘❖■✲✐♥❢♦r♠❛t✐♦♥ ♦❢ ❡❛❝❤ ❝♦♥tr♦❧ ✐♠❛❣❡ ✇❛s s♣❧✐t ❜② ♣✐①❡❧ ✐♥t♦ ✶✵ s✉❜s❡ts ❛♥❞ t❤❡
❛✈❡r❛❣❡ ❡❛❝❤ s✉❜s❡t ✇❛s ❝❛❧❝✉❧❛t❡❞✳
■♥ t♦t❛❧✱ ✷✵✵ ♦❜s❡r✈❛t✐♦♥s ❢r♦♠ ✷✵ ❝♦♥tr♦❧
✶✸
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❋✐❣✉r❡ ✸✳✹✿ Pr♦❝❡❞✉r❡ ♦❢ ✈❛r✐❛❜❧❡ s❡❧❡❝t✐♦♥✳ ✶✮ ♦r❞❡r ♦❢ ✐♥❢♦r♠❛t✐♦♥✱ ✷✮ ❣r❛♣❤✐❝❛❧
❞✐✛❡r❡♥t✐❛t✐♦♥ ♦❢ ♣❧❛♥t ❤❡❛❧t❤ ❛♥❞ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ✐❞❡♥t✐✜❝❛t✐♦♥✱
✸✮ ✐❞❡♥t✐✜❝❛t✐♦♥ ♦❢ s✐❣♥✐✜❝❛♥t ✈❛r✐❛❜❧❡s ✭⑤r⑤
≧
✵✳✾✮✱ ✹✮ ✜❧t❡r✐♥❣ ♦❢ ❝♦♥✲
s✐st❡♥t ♣r❡s❡♥❝❡
✐♠❛❣❡s ✇❡r❡ ♦❜t❛✐♥❡❞✳ ❚❤❡ s❛♠❡ ♣r♦❝❡❞✉r❡ ✇❛s ❛♣♣❧✐❡❞ t♦ ✐♠❛❣❡s ♦❢ ✐♥♦❝✉❧❛t❡❞
s❛♠♣❧❡s✱ ❜✉t t❤✐s t✐♠❡ ✷✵✵ ♦❜s❡r✈❛t✐♦♥s ✇❡r❡ ♦❜t❛✐♥❡❞ ❢r♦♠ ✺✵ ✐♠❛❣❡s✳ ❚❤❡ ❞❡✲
s❝r✐❜❡❞ ❞❛t❛ ✇❛s ❝♦✉♣❧❡❞ t♦ ❛ ♠❛tr✐①✱ ✇❤❡r❡ t❤❡ ✈❛r✐❛❜❧❡s ✇❡r❡ t❤❡ r❡✢❡❝t❛♥❝❡
❜❛♥❞s✱ t❤❡ ♥✉♠❜❡r ♦❢ t❤❡ ♦❜s❡r✈❛t✐♦♥s ✇❛s ✹✵✵ ❛♥❞ t❤❡ ❢❛❝t♦rs ♦r t❛r❣❡t ✇❡r❡
t❤❡ ❧❛❜❡❧s ✧❈♦♥tr♦❧✧ ❛♥❞ ✧■♥♦❝✉❧❛t❡❞✧ ❛❝❝♦r❞✐♥❣ t♦ ♦❜s❡r✈❛t✐♦♥s✳ ❚♦ r❡s♣❡❝t t❤❡
✐♥❞❡♣❡♥❞❡♥❝❡ ♦❢ ❘✱ ❘ ✬❛♥❞ ❘ ✧✱ t✇♦ ♥❡✇ ♠❛tr✐❝❡s ✇❡r❡ ❝❛❧❝✉❧❛t❡❞ ❜② ❞❡r✐✈❛t✐♥❣
t❤❡ ✈❛r✐❛❜❧❡s ♦❢ ♠❛tr✐① ❞❡s❝r✐❜❡❞ ❜❡❢♦r❡✳
❉❛t❛ s❧✐❝✐♥❣ ❛♥❞ tr❛✐♥✐♥❣
❚❤❡ ♦❜s❡r✈❛t✐♦♥s ✇❡r❡ r❛♥❞♦♠❧② str❛t✐✜❡❞✱ ❛❧❧♦❝❛t✐♥❣ ✻✵✪ ♦❢ t❤❡ t♦t❛❧ ✭✷✹✵ ♦❜s❡r✲
✈❛t✐♦♥s✮ ❢♦r t❤❡ tr❛✐♥✐♥❣ ❞❛t❛✳ ❚❤❡ ♣❛❝❦❛❣❡ ✧❝❛r❡t✧ ♦❢ t❤❡ ❘❙t✉❞✐♦ s♦❢t✇❛r❡ ✇❛s
✉s❡❞ t♦ ♠♦❞❡❧ t❤❡ ❙✉♣♣♦rt ❱❡❝t♦r ▼❛❝❤✐♥❡ ✭❙❱▼✮ ❝❧❛ss✐✜❡r✱ ❬✸✷❪✳ ❚✇♦ ❦❡r♥❡❧s
✇❡r❡ t❡st❡❞ ❛t t❤✐s st❛❣❡✿ ❧✐♥❡❛r ❛♥❞ r❛❞✐❛❧✳ ❚❤❡ ♠❡t❤♦❞ ✉s❡❞ ❢♦r tr❛✐♥✐♥❣ ✇❛s
r❡♣❡❛t❡❞ ❝r♦ss✲✈❛❧✐❞❛t✐♦♥ ✭✸ r❡♣❡t✐t✐♦♥s✱ ✶✵✲❢♦❧❞ ❝r♦ss✲✈❛❧✐❞❛t✐♦♥✮✳ ❚❤❡ ❞❛t❛ ✇❛s
❝❡♥t❡r❡❞ ❛♥❞ s❝❛❧❡❞✳ ❚❤❡ ❜❡st ❝♦st✲ ❛♥❞ s✐❣♠❛✲✈❛❧✉❡ ✇❡r❡ s❡❛r❝❤❡❞ ❜② ✐♥♣✉tt✐♥❣
✈❛❧✉❡s ✐♥ ❛ ❣r✐❞ ✇✐t❤ ❛ ❣r❛♥✉❧❛r✐t② ♦❢ ✶✵✳ ❇② tr❛✐♥✐♥❣ t❤❡ ❧✐♥❡❛r ♠♦❞❡❧✱ t❤❡ r❛♥❣❡
−2
♦❢ ✐♥♣✉tt❡❞ ❝♦st✲✈❛❧✉❡s ✭❝✲✈❛❧✉❡s✮ ✇❛s s❡q✉❡♥❝❡❞ ❧♦❣❛r✐t❤♠✐❝❛❧❧② ❢r♦♠ 3.13 × 10
4
−5
t♦ 3.28×10 ✉♥✐ts✳ ❋♦r r❛❞✐❛❧ ♠♦❞❡❧✐♥❣✱ t❤❡ s✐❣♠❛ ✈❛❧✉❡s r❛♥❣❡❞ ❢r♦♠ 3.05×10
t♦
8 ✉♥✐ts✳
❚♦ ❝❤❡❝❦ t❤❡ ❛❝❝✉r❛❝② ♦❢ t❤❡ ❧✐♥❡❛r ❛♥❞ r❛❞✐❛❧ ♠♦❞❡❧✱ ❛ ❝♦♥❢✉s✐♦♥ ♠❛✲
tr✐① ✇❛s ♣❡r❢♦r♠❡❞ ✜rst ✇✐t❤ t❤❡ t❡st ❞❛t❛ s❡t ✭✶✻✵ ♦❜s❡r✈❛t✐♦♥ r❡st✐♥❣ ❢r♦♠ t❤❡
str❛t✐✜❝❛t✐♦♥ st❛❣❡✮✳ ❋✐♥❛❧❧②✱ t❤❡ ❛❝❝✉r❛❝② ✇❛s t❡st❡❞ ✇✐t❤ t❤❡ ♠❡❛♥ ✈❛❧✉❡ ♦❢ ❘❖■
❢r♦♠ ❡❛❝❤ ✐♠❛❣❡✳ ❆♥ ✐♥❞✐✈✐❞✉❛❧ ♠♦❞❡❧ ❢♦r ❘✱ ❘✬❛♥❞ ❘✑ ✇❛s ❝❛❧❝✉❧❛t❡❞✳
✶✹
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
✸✳✸ ❇❡❡t ❡✈❛❧✉❛t✐♦♥
✸✳✸✳✶ ❍❛r✈❡st✐♥❣ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣
■♥ ♦r❞❡r t♦ ♦❜s❡r✈❡ t✇♦ ❧❡✈❡❧s ♦❢ ❞❛♠❛❣❡❞ t✐ss✉❡✱ t❡st ♣❧❛♥ts ✇❡r❡ ❤❛r✈❡st❡❞ ❛♥❞
r❛t❡❞ ✐♥ t✇♦ ❞✐✛❡r❡♥t ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐ ✭❋✐❣✳ ✸✳✶✮✳ ❖♥ t❤❡ ✜rst ❞❛② ♦❢ ❤❛r✲
✈❡st✱ ✜✈❡ ♣❧❛♥ts ♦❢ ❡❛❝❤ tr❡❛t♠❡♥t ✇❡r❡ ❝r♦♣♣❡❞✱ t❤❡ ❜❡❡ts ✇❡r❡ ❧♦♥❣✐t✉❞✐♥❛❧❧②
s❡❝t✐♦♥❡❞✱ ❛♥❞ t❤❡ s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡ ✇❡r❡ ✐♥❞❡♣❡♥❞❡♥t❧② r❛t❡❞✳ ❚❤❡ s✉r❢❛❝❡
✇❛s r❛t❡❞ ✐♥ ❛ ♥✐♥❡✲❝❧❛ss ❞✐s❡❛s❡ s❝❛❧❡ ❢r♦♠ ✶ ✭♥♦ ✈✐s✐❜❧❡ ❧❡s✐♦♥s✱ ♣❧❛♥ts ❛♣♣❛r✲
❡♥t❧② ❤❡❛❧t❤②✮ t♦ ✾ ✭♣❧❛♥t ❞❡❛❞ ❛♥❞ ❝♦♠♣❧❡t❡❧② r♦tt❡♥✮ ❬✸✸❪✳ ❋♦r ♣r❡❝✐s❡ r❡s✉❧ts✱
t❤❡ ❞❛♠❛❣❡❞ s✉r❢❛❝❡ t✐ss✉❡ ✇❛s ❛❞❞✐t✐♦♥❛❧❧② r❛t❡❞ ✐♥ ♣❡r❝❡♥t✳ ❋✉rt❤❡r♠♦r❡✱ t❤❡
❞❛♠❛❣❡❞ t✐ss✉❡ ♦❢ t❤❡ ✐♥♥❡r ❜❡❡t✲s❡❝t✐♦♥ ✇❛s r❛t❡❞ ♦♥ ❛ ♣❡r❝❡♥t s❝❛❧❡✳ ❋♦r t❤❡
s❡❝♦♥❞ ❤❛r✈❡st✐♥❣ ❞❛t❡✱ t❤❡ r❡♠❛✐♥✐♥❣ ♦❢ t❤❡ s❛♠♣❧❡s ✇❡r❡ ❤❛r✈❡st❡❞ ❛♥❞ r❛t❡❞
❛s t❤❡ ♣r♦❝❡❞✉r❡ ❞❡s❝r✐❜❡❞ ❛❜♦✈❡✳
✸✳✸✳✷ ❇❡❡t ❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❛❝q✉✐s✐t✐♦♥
❚❤❡ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ s②st❡♠ ❢♦r ❧❡❛❢✲✐♠❛❣✐♥❣ ✇❛s ♠♦❞✐✜❡❞ t♦ ❡✈❛❧✉❛t❡ t❤❡
r❡✢❡❝t❛♥❝❡ ✐♥ ❤❛r✈❡st❡❞ ❜❡❡ts✳ ❋✐rst✱ t❤❡ ❞✐st❛♥❝❡ ❧❡♥s✲♣❧❛t❢♦r♠ ✇❛s r❡❞✉❝❡❞ t♦
✹✵ ❝♠ ❢♦r ❛ ❜❡tt❡r r❡s♦❧✉t✐♦♥ ♦❢ t❤❡ ❜❡❡t✳ ❙❡❝♦♥❞✱ t❤❡ t✐❧t ❛♥❣❧❡ ♦❢ t❤❡ ❧❡♥s ✇❛s
r❡❞✉❝❡❞ t♦ ✵◦ ✭❋✐❣✳ ✸✳✷✮✳ ❋✐♥❛❧❧②✱ t❤❡ ✐♥t❡❣r❛t✐♦♥ t✐♠❡ ✇❛s s❡❧❡❝t❡❞ ❛✉t♦♠❛t✐✲
❝❛❧❧② ❜② t❤❡ ❙♣❡❝✐♠ ■◗ ❝❛♠❡r❛✱ ✇❤✐❝❤ s❡t ✈❛❧✉❡s ❝❧♦s❡ t♦ ✾✵ ♠s✳ ❙❝❛♥♥✐♥❣ ✇❛s
♣❡r❢♦r♠❡❞ ✐♥❞✐✈✐❞✉❛❧❧② ❢♦r s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡ ♦❢ t❤❡ s❡❝t✐♦♥❡❞ ❜❡❡t✳
✸✳✸✳✸ ❇❡❡t✲✐♠❛❣❡ ♣r♦❝❡ss✐♥❣
❇❡❡t✲✐♠❛❣❡s ✇❡r❡ ♣r♦❝❡ss❡❞ ❢♦❧❧♦✇✐♥❣ t❤❡ ❞❡s❝r✐❜❡❞ st❡♣s ♦❢ ❧❡❛❢✲✐♠❛❣❡ ♣r♦❝❡ss✐♥❣✿
✭✶✮ r❡✢❡❝t❛♥❝❡ tr❛♥s❢♦r♠❛t✐♦♥✱ ✭✷✮ ♥♦✐s② ❜❛♥❞ r❡♠♦✈❛❧✱ ❛♥❞ ✭✸✮ ❙❛✈✐t③❦②✲●♦❧❛②
✜❧t❡r✐♥❣✱ r❡s✉❧t✐♥❣ ✐♥ s♠♦♦t❤❡❞ ✐♠❛❣❡s✳
Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢♦r s❡❣♠❡♥t❛t✐♦♥
❋♦r t❤❡ ✐❞❡♥t✐✜❝❛t✐♦♥ ♦❢ ❜❛♥❞s ✇✐t❤ ✐♠♣♦rt❛♥❝❡ ♦♥ t❤❡ ❞✐✛❡r❡♥t✐❛t✐♦♥ ♦❢ ❜❡❡t ❛♥❞
❜❛❝❦❣r♦✉♥❞ ♣✐①❡❧s✱ ❛ Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭P❈❆✮ ✇❛s ♣❡r❢♦r♠❡❞✳ ❚❤❡
✐♥❢♦r♠❛t✐♦♥ ❢♦r t❤✐s ❛♥❛❧②s✐s ❝❛♠❡ ❢r♦♠ ❢♦✉r s♠♦♦t❤❡❞ ✐♠❛❣❡s ❜❡❧♦♥❣✐♥❣ t♦ t✇♦
s❛♠♣❧❡s ✭s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡ ✐♠❛❣❡ ♦❢ ❝♦♥tr♦❧ ❛♥❞ ❛ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s❛♠♣❧❡✮✳
❋♦r ❡❛❝❤ ✐♠❛❣❡✱ ❛ ❜✐♥❛r② ♠❛s❦ ✇❛s ❞r❛✇♥✱ ❛♥❞ t❤✐s ♠❛s❦ ♦r ❜✐♥❛r② ✐♥❢♦r♠❛t✐♦♥
✇❛s ✉♥❢♦❧❞❡❞ ❜② ♣✐①❡❧ ❛s ❛ ✈❡❝t♦r✳ ◆❡①t✱ t❤❡ ❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❝✉❜❡ ✇❛s ✉♥❢♦❧❞❡❞
✐♥ ❛ ♠❛tr✐① ❛♥❞ t❤❡ ❜✐♥❛r② ♠❛s❦ ✐♥❢♦r♠❛t✐♦♥ ✈❡❝t♦r ✇❛s ❝♦✉♣❧❡❞ t♦ ✐t✱ ✜♥✐s❤✐♥❣
t❤❡ r❡❛rr❛♥❣❡♠❡♥t ♦❢ ❞❛t❛✳ ❋♦r t❤❡ P❈❆✱ ✈❛r✐❛❜❧❡s ✇❡r❡ ❜❛♥❞s ❝♦rr❡s♣♦♥❞✐♥❣
t♦ t❤❡ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥✱ ❛♥❞ t❤❡ ❜✐♥❛r② ♠❛s❦ ❝♦❧✉♠♥ ✇❛s ❝♦♥s✐❞❡r❡❞ ❛s ❛
❢❛❝t♦r ✭❋✐❣✳ ✸✳✺✮✳
❙❡❣♠❡♥t❛t✐♦♥ ✐♥❞❡①
❚❤❡ t✇♦✲❞✐♠❡♥s✐♦♥❛❧ ♣❧♦ts ♦❢ ♦❜s❡r✈❛t✐♦♥s ✭♣✐①❡❧s✮ ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲✱ s❡❝♦♥❞✲
❛♥❞ t❤✐r❞✲✱ t❤✐r❞✲ ❛♥❞ ❢♦✉rt❤✲♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ❝♦♦r❞✐♥❛t❡s s②st❡♠ ✇❡r❡ ❡✈❛❧✲
✉❛t❡❞ ✈✐s✉❛❧❧② t♦ ✐❞❡♥t✐❢② ✇❤✐❝❤ ❝♦♠♣♦♥❡♥t ❞✐✛❡r❡♥t✐❛t❡❞ t❤❡ ♠♦st ❜❡❡t✲ ❛♥❞
❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s✳ ❚❤❡♥✱ t❤❡ ❝❤♦s❡♥ ♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ✇❛s ❝♦rr❡❧❛t❡❞ ✇✐t❤
✶✺
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❋✐❣✉r❡ ✸✳✺✿ ❉❛t❛ ♣r❡♣r♦❝❡ss✐♥❣ ❢♦r P❈❆✳ ✶✮ ■♠❛❣❡ s❡❧❡❝t✐♦♥✱ ✹ ✐♠❛❣❡s ❜❡❧♦♥❣✐♥❣
t♦ ✷ s❛♠♣❧❡s❀ ✷✮ ❇✐♥❛r② ♠❛s❦ ❢♦r ❡❛❝❤ ✐♠❛❣❡ t❤r❡s❤♦❧❞✐♥❣ ❜❡❡t ❛♥❞
❜❛❝❦❣r♦✉♥❞❀ ✸✮ ❘❡❛rr❛♥❣❡♠❡♥t ♦❢ ❞❛t❛ ❜② ♠❡r❣✐♥❣ t❤❡ ✐♥❢♦r♠❛t✐♦♥
♦❢ t❤❡ ✹ ✐♠❛❣❡s ❛♥❞ ❝♦✉♣❧✐♥❣ t❤❡ ❜✐♥❛r② ♠❛s❦ ✈❡❝t♦r❀ ✹✮ Pr✐♥❝✐♣❛❧
❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ✇✐t❤ ❛ ♣✐①❡❧ ❛s ♦❜s❡r✈❛t✐♦♥✱ t❤❡ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r✲
♠❛t✐♦♥ ❛s ✈❛r✐❛❜❧❡s ❛♥❞ ❜✐♥❛r② ❞❛t❛ ❛s ❢❛❝t♦r✳
❡❛❝❤ ✈❛r✐❛❜❧❡ ✭r❡✢❡❝t❛♥❝❡ ❜❛♥❞✮ ❛♥❞ t❤❡ ♠♦st ♣♦s✐t✐✈❡ ❛♥❞ ♥❡❣❛t✐✈❡ ❝♦rr❡❧❛t❡❞
✈❛r✐❛❜❧❡ ✇❛s ✐❞❡♥t✐✜❡❞✳ ❚❤❡ ❢♦❧❧♦✇✐♥❣ ❢♦r♠✉❧❛ ✇❛s ✉s❡❞ ❢♦r t❤r❡s❤♦❧❞✐♥❣ t❤❡
❜❛❝❦❣r♦✉♥❞ ❛♥❞ ❜❡❡t✿
Bsi =
Bp − Bn
Bp + Bn
✭✸✳✷✮
❲❤❡r❡✿
Bsi✿ ❇❡❡t s❡❣♠❡♥t❛t✐♦♥ ✐♥❞❡①
Bp ✿ ▼♦st ♣♦s✐t✐✈❡ ❝♦rr❡❧❛t❡❞ r❡✢❡❝t❛♥❝❡ ❜❛♥❞
Bn ✿ ▼♦st ♥❡❣❛t✐✈❡ ❝♦rr❡❧❛t❡❞ r❡✢❡❝t❛♥❝❡ ❜❛♥❞
◆❡①t✱ ❛♥ ✐♥t❡♥s✐t② ✐♥❞❡① ❣r❛♣❤ ♦❢ ❢♦✉r ✐♠❛❣❡s ✇❛s ♣❧♦tt❡❞ ❛♥❞ ❛ s❡❣♠❡♥t❛t✐♦♥
✈❛❧✉❡ ❢♦r ❜❛❝❦❣r♦✉♥❞ ❛♥❞ ❜❡❡t ✇❛s ✈✐s✉❛❧❧② ❞❡t❡r♠✐♥❡❞✳
▼❛s❦ ♣❡r❢♦r♠❛♥❝❡ ❛♥❞ ♠❛♥✉❛❧ ❝♦rr❡❝t✐♦♥
❇② ❛♣♣❧②✐♥❣ t❤❡ t❤r❡s❤♦❧❞ ✈❛❧✉❡✱ ❛ ❜✐♥❛r② ♠❛s❦ ✐♥❞❡① ✇❛s ❝r❡❛t❡❞ ❢♦r ❡❛❝❤ ❤②✲
♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡✳ ❚♦ ❛✈♦✐❞ t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ ❧❡❛❢ ♣✐❣♠❡♥ts✱ t❤❡ ❝r♦✇♥ ✇❛s r❡t✐r❡❞
♠❛♥✉❛❧❧② ❢r♦♠ t❤❡ ♠❛s❦✳ ❚❤✐s r❡s✉❧t✐♥❣ ❜✐♥❛r② ✐♠❛❣❡ ✇❛s t❤❡♥ s❛✈❡❞✳
✶✻
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❙♣❡❝tr❛❧ ❡①tr❛❝t✐♦♥
▼❛s❦ ✈❛❧✉❡s ♦❢ ✧✶✧ ❝♦rr❡s♣♦♥❞ t♦ t❤❡ ♦❜❥❡❝t✐✈❡ ♣✐①❡❧✳ ❚❤❡ ❛✈❡r❛❣❡ s♣❡❝tr❛❧ ✈❛❧✉❡
✇❛s ❝❛❧❝✉❧❛t❡❞ ❢♦r ❡❛❝❤ ❜❛♥❞ ❢r♦♠ t❤❡ ❘❖■ ♦❢ ❡❛❝❤ ✐♠❛❣❡✳ ❚❤❡ ❛✈❡r❛❣❡ ✇❛s
❝❛❧❝✉❧❛t❡❞ ❢♦r ❜♦t❤ t②♣❡s ♦❢ ✐♠❛❣❡s ❜❡❧♦♥❣✐♥❣ t♦ t❤❡ ✐♥♥❡r ❛♥❞ s✉r❢❛❝❡ t✐ss✉❡✳
✸✳✸✳✹ Pr✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢♦r ❤❡❛❧t❤② ❛♥❞
❞❛♠❛❣❡❞ ❜❡❡t t✐ss✉❡ ♣✐①❡❧s
P✐①❡❧s ❝♦rr❡s♣♦♥❞✐♥❣ t♦ ❤❡❛❧t❤② ❛♥❞ ❞❛♠❛❣❡❞ t✐ss✉❡ ✇❡r❡ ❡✈❛❧✉❛t❡❞ ✐♥ ❛ ♥❡✇
P❈❆✳ ❚❤✐s ❛♥❛❧②s✐s ❢♦❧❧♦✇❡❞ t❤❡ ♣r♦❝❡❞✉r❡ ❞❡s❝r✐❜❡❞ ✐♥ ❋✐❣✉r❡ ✸✳✺ ✇✐t❤ s❧✐❣❤t
♠♦❞✐✜❝❛t✐♦♥s✳ ❆t t❤❡ ✐♠❛❣❡ s❡❧❡❝t✐♦♥ st❡♣✱ ♦♥❡ ❝♦♥tr♦❧ ✐♠❛❣❡ ✇❛s s❡❧❡❝t❡❞ ❛♥❞
t✇♦ ♦r t❤r❡❡ ✐♠❛❣❡s ♦❢ ❞✐s❡❛s❡❞ ♣❧❛♥ts t♦t❛❧❧✐♥❣ ❛ s✐♠✐❧❛r ♥✉♠❜❡r ♦❢ ♣✐①❡❧s ❢♦r
❤❡❛❧t❤② ❛♥❞ ❞❛♠❛❣❡❞ t✐ss✉❡ ✇❡r❡ s❡❧❡❝t❡❞✳ ❆t st❡♣ ✷✱ t❤❡ ❞r❛✇♥ ❜✐♥❛r② ♠❛s❦
❞✐✛❡r❡♥t✐❛t❡ ♣✐①❡❧s ♦❢ ✧❤❡❛❧t❤②✧ ♦r ✧❞❛♠❛❣❡❞✧ t✐ss✉❡✱ ✇❤✐❝❤ ✇❛s ❛❧s♦ t❤❡ ✧❧❛❜❡❧✧
♦❢ ♦❜s❡r✈❛t✐♦♥ ♦r ♣✐①❡❧✳ ❆t st❡♣ ✸✱ ❛ ♥❡✇ ❝♦❧✉♠♥ ✇❛s ❛❞❞❡❞ r❡❧❛t❡❞ t♦ t❤❡ ✧❧❛✲
❜❡❧✧✱ ❛♥❞ t❤❡ ❜❛❝❦❣r♦✉♥❞ ♦❜s❡r✈❛t✐♦♥s ✇❡r❡ ❞❡❧❡t❡❞✳ ❚❤❡ P❈❆ ✇❛s ♣❡r❢♦r♠❡❞
✐♥❞❡♣❡♥❞❡♥t❧② ❢♦r ✐♥♥❡r ❛♥❞ s✉r❢❛❝❡ t✐ss✉❡✱ ❛♥❞ t❤❡ r❡s✉❧t✐♥❣ ✜rst ❛♥❞ s❡❝♦♥❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ✇❡r❡ ❝♦rr❡❧❛t❡❞ ✇✐t❤ t❤❡ ✈❛r✐❛❜❧❡s✳
✸✳✸✳✺ ■♥❞❡① ❢♦r ❜❡❡t t✐ss✉❡ st❛t❡
❚✇♦ ✐♥❞❡①❡s ❢♦r t❤❡ ❜❡❡t t✐ss✉❡ st❛t❡ ✇❡r❡ ✉s❡❞ t♦ ✐♥❞❡♣❡♥❞❡♥t❧② ❝❧❛ss✐❢② t❤❡ s✉r✲
❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡✳ ❍♦✇❡✈❡r✱ s✐♥❝❡ t❤❡ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❞♦ ♥♦t ♣r❡s❡♥t
♣♦s✐t✐✈❡ ❛♥❞ ♥❡❣❛t✐✈❡ ✈❛❧✉❡s t♦ ❢♦❧❧♦✇ t❤❡ str✉❝t✉r❡ ♦❢ ❢♦r♠✉❧❛ ✸✳✷✱ t❤❡ ♥❡✇ ❢♦❧✲
❧♦✇✐♥❣ ❡q✉❛t✐♦♥ ✇❛s ✉s❡❞✿
Btsix =
Bmax − Bmin
Bmax + Bmin
✭✸✳✸✮
❲❤❡r❡✿
Btsi✿ ❇❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡①
x✿ ✧s✧ ❢♦r s✉r❢❛❝❡ ❛♥❞ ✧i✧ ❢♦r ✐♥♥❡r ❜❡❡t t✐ss✉❡
Bmax ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠❛①✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
Bmin ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠✐♥✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
✸✳✸✳✻ ❍②♣❡rs♣❡❝tr❛❧ r❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣
■♥ ♦r❞❡r t♦ ❡st❛❜❧✐s❤ ❛ ❧✐♠✐t ✈❛❧✉❡ ♦❢ t❤❡ ❇❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡① ✭❇ts✐✮ t♦ ❝❧❛s✲
s✐❢② ♣✐①❡❧s ♦❢ ❤❡❛❧t❤② ♦r ❞❛♠❛❣❡❞ t✐ss✉❡✱ t❤❡ ♠❡❛♥ ❛♥❞ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ✇❛s
❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ♣✐①❡❧s ❧❛❜❡❧❡❞ ❛s ✧❤❡❛❧t❤②✧ ❛♥❞ ✧❞❛♠❛❣❡❞✧ ♠❡♥t✐♦♥❡❞ ✐♥ s❡❝t✐♦♥
✸✳✸✳✹✳ ❚❤❡ Btsi ▲✐♠✐t ✭▲✮ ✇❛s ❞❡✜♥❡❞ ❛s ♠❡❞✐❛ ♦❢ ✧❤✧ ❛♥❞ ✧❞✧✭❋✐❣✳ ✸✳✻✮✱ ✇❤❡r❡
✧❤✧ ✇❛s t❤❡ ♠✐♥✐♠❛❧ ❞✐st❛♥❝❡ ♦❢ ♠❡❛♥ ♦❢ ❤❡❛❧t❤② ♣✐①❡❧s H t♦ t❤❡ ♠❡❛♥ ♦❢ ❞❛♠✲
❛❣❡❞ ♣✐①❡❧s D ♣❧✉s ♦r ♠✐♥✉s t❤❡ r❡s♣❡❝t✐✈❡ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ σh ❀ ❛♥❞ ✧❞✧ t❤❡
♦♣♣♦s✐t❡ ✈❛❧✉❡✳ ❚❤✐s ♣r♦❝❡❞✉r❡ ✇❛s ❛♣♣❧✐❡❞ ✐♥❞❡♣❡♥❞❡♥t❧② ❢♦r ✐♥♥❡r ❛♥❞ s✉r❢❛❝❡
t✐ss✉❡✳
✶✼
❈❍❆P❚❊❘ ✸✳
▼❆❚❊❘■❆▲ ❆◆❉ ▼❊❚❍❖❉❙
❋✐❣✉r❡ ✸✳✻✿ ❘❡❢❡r❡♥t✐❛❧ ❢r❡q✉❡♥❝② ❣r❛♣❤ ♦❢ Btsi✲✈❛❧✉❡s ❢♦r t❤❡ ♣♦♣✉❧❛t✐♦♥ ♦❢
❤❡❛❧t❤② ❛♥❞ ❞❛♠❛❣❡❞ ♣✐①❡❧s ❛♥❞ ♣r❡s❡♥t❛t✐♦♥ ♦❢ ❧✐♠✐t ♣♦✐♥t✭▲✮ ❢♦r
❤❡❛❧t❤ ❝❧❛ss✐✜❝❛t✐♦♥
❇❡❢♦r❡ st❛rt✐♥❣ t❤❡ ♣✐①❡❧ ❝❧❛ss✐✜❝❛t✐♦♥✱ t❤❡ ❜✐♥❛r② ♠❛s❦ ♦❢ ❡❛❝❤ s❛♠♣❧❡ ✇❛s
✐♥s❡rt❡❞ ✐♥t♦ t❤❡ ♠♦r♣❤♦❧♦❣✐❝❛❧ ♦♣❡r❛t✐♦♥ ✧❊r♦s✐♦♥✧ ✭3 × 3✮ ✐♥ t❤r❡❡ ✐♥st❛♥❝❡s
t♦ ❛✈♦✐❞ ✐♥t❡r❢❡r❡♥❝❡s ♦❢ r♦♦t ❛♥❞ ❜❛❝❦❣r♦✉♥❞✲❜♦❛r❞✐♥❣ ♣✐①❡❧s✳ ❚❤❡♥✱ t❤❡ ❤②♣❡r✲
s♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞ ❝r♦✇♥ r♦t r❛t✐♥❣ ✇❛s ❝❛❧❝✉❧❛t❡❞ ❢♦r ❡❛❝❤ s❛♠♣❧❡ ✐♥
✐♥♥❡r ❛♥❞ s✉r❢❛❝❡ t✐ss✉❡ ❜② ✉s✐♥❣ t❤❡ ❢♦❧❧♦✇✐♥❣ ❢♦r♠✉❧❛✿
RRCRRating(x) =
Pd
× 100%
P d + Ph
✭✸✳✹✮
❲❤❡r❡✿
RRCRRating ✿ ❍②♣❡rs♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞ ❝r♦✇♥ r♦t r❛t✐♥❣
x✿ ✧s✧ ❢♦r s✉r❢❛❝❡ ❛♥❞ ✧i✧ ❢♦r ✐♥♥❡r ❜❡❡t t✐ss✉❡
Pd ✿ ◆✉♠❜❡r ♦❢ ♣✐①❡❧s ❝❧❛ss✐✜❡❞ ❛s ✧❞❛♠❛❣❡❞ t✐ss✉❡✧
Ph ✿ ◆✉♠❜❡r ♦❢ ♣✐①❡❧s ❝❧❛ss✐✜❡❞ ❛s ✧❤❡❛❧t❤② t✐ss✉❡✧
✸✳✸✳✼ ◆♦♥✲✐♠❛❣✐♥❣ ❡✈❛❧✉❛t✐♦♥
❆ ❤♦♠♦❣❡♥❡♦✉s ❜❡❡t ❜r❡✐ ✇❛s ♣r❡♣❛r❡❞ ❢r♦♠ t❤❡ ❤❛r✈❡st❡❞ ❜❡❡t✱ ✐✳❡✳ st♦r❛❣❡ r♦♦t
st❛rt✐♥❣ ❢r♦♠ t❤❡ t❛♣r♦♦t✱ ♦❢ ❡❛❝❤ s❛♠♣❧❡✳ ❚❤❡ ❜r❡✐ ✇❛s st♦r❡❞ ❛t ✲✷✻◦ ❈ ✉♥t✐❧
♥♦♥✲✐♠❛❣✐♥❣ ❡✈❛❧✉❛t✐♦♥✳ ❚♦ t❤✐s ❛✐♠✱ ❛ ❤❛♥❞❤❡❧❞ ♥♦♥✲✐♠❛❣✐♥❣ s♣❡❝tr♦r❛❞✐♦♠❡t❡r
✭❆❙❉ ❋✐❡❧❞❙♣❡❝ ✹ ❍✐❣❤ r❡s s♣❡❝tr♦♠❡t❡r✱ ❆♥❛❧②t✐❝ ❙♣❡❝tr❛❧ ❉❡✈✐❝❡s✱ ❇♦✉❧❞❡r✱
❈❖✱ ❯❙❆✮ ✇❛s ✉s❡❞ t♦ ♠❡❛s✉r❡ t❤❡ s♣❡❝tr❛❧ r❛♥❣❡ ❢r♦♠ ✸✺✵ t♦ ✷✺✵✵ ♥♠ ✐♥ ✷✶✺✶
❝❤❛♥♥❡❧s✱ ❱■❙◆■❘ ❛♥❞ ❙❤♦rt✲❲❛✈❡ ■♥❢r❛r❡❞ ✭❙❲■❘✮ r❡❣✐♦♥s✳ ❋♦r ❡❛❝❤ s❛♠♣❧❡✱
❛ ♣✐st♦❧ ❣r✐♣ ✇❛s ✉s❡❞✱ ✇❤✐❝❤ ✇❛s ♣♦s✐t✐♦♥❡❞ ✸✵ ❝♠ ❢r♦♠ t❤❡ s❛♠♣❧❡ s✉r❢❛❝❡✳
❇❡❢♦r❡ r❡✢❡❝t❛♥❝❡ ❛❝q✉✐s✐t✐♦♥✱ t❤❡ ✐♥str✉♠❡♥t ✇❛s ❝❛❧✐❜r❛t❡❞ ❛✉t♦♠❛t✐❝❛❧❧② ✇✐t❤
❛♥ ❛✈❡r❛❣❡ ♦❢ ✶✵ ❞❛r❦✲❝✉rr❡♥t ♠❡❛s✉r❡♠❡♥ts ❛♥❞ ❛♥ ❛✈❡r❛❣❡ ♦❢ ✶✵ ✇❤✐t❡✲r❡❢❡r❡♥❝❡
♠❡❛s✉r❡♠❡♥ts✳ ❋✐♥❛❧ r❡✢❡❝t❛♥❝❡ s♣❡❝tr❛ ✇❡r❡ t❤❡♥ ♠❡❛s✉r❡❞ ✶✵ t✐♠❡s ♣❡r s❛♠♣❧❡
❛♥❞ t❤❡ ❛✈❡r❛❣❡ ✇❛s ❝❛❧❝✉❧❛t❡❞✳
✶✽
✹ ❘❡s✉❧ts
✹✳✶ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ♦♣t✐❝❛❧ ♣r♦♣❡rt✐❡s ♦❢
s✉❣❛r ❜❡❡t ❧❡❛✈❡s
✹✳✶✳✶ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❞✐s❡❛s❡ s❡✈❡r✐t② ❛♥❞ s②♠♣t♦♠s
❋✐❣✉r❡ ✹✳✶ s❤♦✇s t❤❡ ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❛❜♦✈❡✲❣r♦✉♥❞ ❧❡❛❢✲s②♠♣t♦♠s✳ ❚❤❡ r❛t✐♥❣
✈❛❧✉❡s ♦❢ ❛❧❧ tr❡❛t♠❡♥ts✱ ❝♦♥tr♦❧✱ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲ ✐♥♦❝✉❧❛t❡❞✱ r❡♠❛✐♥❡❞ st❛❜❧❡ ✉♥t✐❧
✜✈❡ ❞❛②s ❛❢t❡r ✐♥♦❝✉❧❛t✐♦♥ ✭❞❛✐✮✳ ❉✉r✐♥❣ t❤✐s ♣❡r✐♦❞ ♥♦♥❡ ♦❢ t❤❡ ♣❧❛♥ts ❡①❤✐❜✐t❡❞
♥♦ ✈✐s✐❜❧❡ ❧❡s✐♦♥s✳ ❙❡✈❡♥ ❞❛②s ❛❢t❡r ✐♥♦❝✉❧❛t✐♦♥✱ s♦♠❡ s②♠♣t♦♠❛t✐❝ ❞✐✛❡r❡♥❝❡s
❜❡t✇❡❡♥ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❡r❡ ♦❜s❡r✈❡❞✳ ❚❤❡s❡ ❞✐✛❡r❡♥❝❡s✱ ❤♦✇✲
❡✈❡r✱ ✇❡r❡ ♥♦t ❝❧❡❛r✱ ❜❡❝❛✉s❡ ❛t ✶✵ ❞❛✐ t❤❡ ❝♦♥tr♦❧ s❛♠♣❧❡s ❛❧s♦ s❤♦✇❡❞ s✐❣♥s ♦❢
s❡♥❡s❝❡♥❝❡ ✐♥ t❤❡✐r ❧❡❛✈❡s✱ r❡s✉❧t✐♥❣ ✐♥ ❛♥ ❛✈❡r❛❣❡ r❛t✐♥❣ ♦❢ ♦♥❡✳ ❋r♦♠ t❤❡ s✐①t❤
♠❡❛s✉r❡♠❡♥t ✭✶✷ ❞❛✐✮✱ ✐t ✇❛s ♣♦ss✐❜❧❡ t♦ ❞✐st✐♥❣✉✐s❤ ✐♥❞✉❜✐t❛❜❧② ❜❡t✇❡❡♥ ❤❡❛❧t❤②
♣❧❛♥ts ❛♥❞ ❞✐s❡❛s❡❞ ♣❧❛♥ts✱ ✇❤❡r❡ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ♣r❡s❡♥t❡❞ s❡♥❡s❝❡♥❝❡ ✐♥
❛❜♦✉t ✸✵✪ ♦❢ t❤❡✐r ❧❡❛✈❡s✱ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ✶✵✪ ♠♦r❡ s❡♥❡s❝❡♥t✲
❧❡✈❡❧s t❤❛♥ t❤❡ ♠❡♥t✐♦♥❡❞ ❣r♦✉♣✳ ❖♥ t❤❡ s❛♠❡ ❞❛②✱ t❤❡ ✜rst ❤❛r✈❡st ❛❧s♦ t♦♦❦
♣❧❛❝❡✳ ▲❛st❧② ❛♥❞ ❜❡❢♦r❡ t❤❡ ✜♥❛❧ ❤❛r✈❡st✱ s❡♥❡s❝❡♥❝❡ ❛♣♣❡❛r❡❞ ✐♥ ❛❧❧ ✐♥♦❝✉❧❛t❡❞
♣❧❛♥ts ✐♥ ❛❧♠♦st ✶✵✵✪ ♦❢ t♦t❛❧ ❧❡❛✈❡s ✐♥❝❧✉❞✐♥❣ ✐♥ ♠♦st ♦❢ t❤❡♠ ✇✐❧t✐♥❣✱ ❝❤❧♦r♦s✐s
❛♥❞ ♥❡❝r♦s✐s✱ ✇❤✐❧❡ ♥♦♥✲✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ♠❛✐♥t❛✐♥❡❞ ❝♦♥st❛♥t ❛ ❧❡❛❢✲r❛t✐♥❣ ♦❢
♦♥❡✳
Leaf−symptoms of RRCR
●
5
4
●
●
12
14
Rating
3
2
●
1
0
●
●
●
−01
03
05
●
07
10
17
dai
Treatment ● 1. Control ● 2. Low Inoculated ● 3. High Inoculated
❋✐❣✉r❡ ✹✳✶✿ ❘❛t✐♥❣ ❞❡✈❡❧♦♣♠❡♥t ♦❢ ❛❜♦✈❡❣r♦✉♥❞ ❧❡❛❢ s②♠♣t♦♠s r❡❧❛t❡❞ t♦ ❘❤✐③♦❝✲
t♦♥✐❛ r♦♦t r♦t ❞✐s❡❛s❡✳ ❚❤❡ ❛✈❡r❛❣❡ ✇❛s r♦✉♥❞❡❞ t♦ ❡♥t✐r❡ ✈❛❧✉❡s✳
✶✾
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Canopy Segmentation
Selected Canopy pixels (%)
100
75
50
25
0
OSAVI
mNDVI705 MCARI2
NDVI705
Ctr2
MSR705
DVI
NDVI
Ctr4
Index
❋✐❣✉r❡ ✹✳✷✿ ■♥❞❡① ♣❡r❢♦r♠❛♥❝❡ ❢♦r s❡❧❡❝t✐♦♥ ♦❢ ❝❛♥♦♣②✲♣✐①❡❧s ✐♥ ❛♥ ✐♠❛❣❡ ♦❢ ❤✐❣❤❧②
❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t ♣❧❛♥t✳
Background Segmentation
Selected Background pixels (%)
100.0
99.9
99.8
99.7
DVI
MCARI2
Ctr4
NDVI
mNDVI705 MSR705
Ctr2
OSAVI
NDVI705
Index
❋✐❣✉r❡ ✹✳✸✿ ■♥❞❡① ♣❡r❢♦r♠❛♥❝❡ ❢♦r s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ✐♥ ❛♥ ✐♠❛❣❡
♦❢ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t ♣❧❛♥t✳
✹✳✶✳✷ ❖♣❡r❛t✐♦♥ ❛❞❥✉st♠❡♥t ❛♥❞ ♠❡t❤♦❞ ❢♦r s♣❡❝tr❛❧
❛ss❡ss♠❡♥t ♦♥ ❧❡❛✈❡s
■♥❞❡①❡s ❢♦r ❝❛♥♦♣② ❛♥❞ ❜❛❝❦❣r♦✉♥❞ s❡❧❡❝t✐♦♥ ♦❢ r♦tt❡❞ ♣❧❛♥t ✐♠❛❣❡
❚❤❡ ♠♦st ♣r♦♠✐s✐♥❣ ✐♥❞❡①❡s ❢♦r ❝❛♥♦♣② s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❛ ❤✐❣❤❧② ❞✐s❡❛s❡❞ ♣❧❛♥t
✇❡r❡ ✈✐s✉❛❧❧② ✐❞❡♥t✐✜❡❞✿ ❈❛rt❡r ✐♥❞❡① ✷ ✭❈tr✷✮✱ ❈❛rt❡r ✐♥❞❡① ✹ ✭❈tr✹✮✱ ❉✐✛❡r❡♥❝❡
❱❡❣❡t❛t✐♦♥ ■♥❞❡① ✭❉❱■✮✱ ▼♦❞✐✜❡❞ ❈❤❧♦r♦♣❤②❧❧ ❆❜s♦r♣t✐♦♥ ❘❡✢❡❝t❛♥❝❡ ■♥❞❡① ✷
✭▼❈❆❘■✷✮✱ ♠♦❞✐✜❡❞ ❘❡❞ ❊❞❣❡ ◆♦r♠❛❧✐③❡❞ ❱❡❣❡t❛t✐♦♥ ■♥❞❡① ✭♠◆❉❱■✼✵✺✮✱ ▼♦❞✲
✐✜❡❞ ❘❡❞ ❊❞❣❡ ❙✐♠♣❧❡ ❘❛t✐♦ ■♥❞❡① ✭▼❙❘✼✵✺✮✱ ◆♦r♠❛❧✐③❡❞ ❉✐✛❡r❡♥❝❡ ❱❡❣❡t❛t✐♦♥
■♥❞❡① ✭◆❉❱■✮✱ ◆♦r♠❛❧✐③❡❞ ❉✐✛❡r❡♥❝❡ ✼✺✵✴✼✵✺ ❈❤❧♦r♦♣❤②❧❧ ■♥❞❡① ✭◆❉❱■✼✵✺✮✱ ❛♥❞
❖♣t✐♠✐③❡❞ ❙♦✐❧✲❆❞❥✉st❡❞ ❱❡❣❡t❛t✐♦♥ ■♥❞❡① ✭❖❙❆❱■✮✳ ❚❤❡s❡ ✐♥❞❡①❡s ✇❡r❡ ❡✈❛❧✉✲
❛t❡❞ ✐♥ ❞❡♣t❤ t♦ ❝❧❛ss✐❢② ❝❛♥♦♣②✲ ❛♥❞ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s✳ ❋✐❣✉r❡ ✹✳✷ ❝♦♠♣❛r❡s
t❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ ♠❡♥t✐♦♥❡❞ ✐♥❞❡①❡s t♦ s❡❧❡❝t ❝❛♥♦♣②✲♣✐①❡❧s ♦❢ ❛ ❞✐s❡❛s❡❞ ♣❧❛♥t✳
❖❙❆❱■ s❤♦✇s t❤❡ ❤✐❣❤❡st ✈❛❧✉❡s ❛t ✼✷✳✻✹✪ ♦❢ t❤❡ t♦t❛❧ ♠❛♥✉❛❧❧②✲s❡❧❡❝t❡❞ ❝❛♥♦♣②
♣✐①❡❧s✳ ❋✉rt❤❡r♠♦r❡✱ ❋✐❣✉r❡ ✹✳✸ ♣r♦✈✐❞❡s ✐♥❢♦r♠❛t✐♦♥ ❛❜♦✉t t❤❡ ♣❡r❢♦r♠❛♥❝❡ ❢♦r
❜❛❝❦❣r♦✉♥❞ ♣✐①❡❧ s❡❧❡❝t✐♦♥✱ ✇❤❡r❡ ❉❱■ ❛❝❤✐❡✈❡❞ t❤❡ ❤✐❣❤❡st ✈❛❧✉❡ ✾✾✳✾✾✪ ♦❢ t❤❡
✷✵
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
t♦t❛❧ ♠❛♥✉❛❧❧②✲s❡❧❡❝t❡❞ ❜❛❝❦❣r♦✉♥❞ ♣✐①❡❧s ✭❚❛❜❧❡ ✽✳✹✮✳
P❡r❢♦r♠❛♥❝❡ ♦❢ ♣r✐♠❛r② ♠❛s❦
❚❤❡ ❞♦✉❜❧❡✲♠❛s❦ ♦r ♣r✐♠❛r② ♠❛s❦ ♦❜t❛✐♥❡❞ ❢r♦♠ ♠❡r❣✐♥❣ t❤❡ ❖❙❆❱■ ❛♥❞ ❉❱■
❜✐♥❛r②✲♠❛s❦ s❤♦✇❡❞ ❛ ❤✐❣❤ ❛❝❝✉r❛❝② ✐♥ s❡❣♠❡♥t✐♥❣ ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t ❢r♦♠ t❤❡
❜❛❝❦❣r♦✉♥❞ ✐♥ ❛ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡ ✭❋✐❣✉r❡ ✹✳✹✮✳ ❚❤✐s ♠❛s❦ ❤❛❞ ❛ ❝❛♥♦♣② ♣✐①❡❧
s❡❧❡❝t✐♦♥ ❛❜♦✈❡ ✾✺✪ ♦❢ t❤❡ t♦t❛❧ ❝❛♥♦♣② ❛r❡❛ ❢♦r ✐♠❛❣❡s ❛❝q✉✐r❡❞ ✐♥ t❤❡ ♣❡r✐♦❞ ♦❢
✶ ❞❜✐ t♦ ✶✵ ❞❛✐✳ ❍♦✇❡✈❡r✱ t❤✐s ♣❡r❢♦r♠❛♥❝❡ ✇❛s r❡❞✉❝❡❞ ✐♥ t❤❡ ❡✈❛❧✉❛t❡❞ ✐♠❛❣❡
♦❢ t❤❡ ❧❛st ♠❡❛s✉r❡♠❡♥t ❞❛t❡✳ ❙✐♠✐❧❛r❧②✱ t❤❡ ❛❝❝✉r❛❝② ❢♦r ❜❛❝❦❣r♦✉♥❞ s❡❧❡❝t✐♦♥
r❡♠❛✐♥❡❞ ❛t t❤❡ s❛♠❡ ❧❡✈❡❧ ❞✉r✐♥❣ t❤❡ ❝♦♠♣❧❡t❡ t✐♠❡ s❡r✐❡s ❡✈❛❧✉❛t✐♦♥✱ ✇✐t❤ ❛♥
❛❝❝✉r❛❝② ✈❛❧✉❡ ♦❢ ❛♣♣r♦①✐♠❛t❡❧② ✾✾✪ ♦❢ t❤❡ ♠❛♥✉❛❧❧② s❡❧❡❝t❡❞ ❜❛❝❦❣r♦✉♥❞ ♣✐①❡❧s
✭❚❛❜❧❡ ✽✳✺✮✳
a
b
c
❋✐❣✉r❡ ✹✳✹✿ P❡r❢♦r♠❛♥❝❡ ♦❢ ❞♦✉❜❧❡ ♠❛s❦ ✇✐t❤ ❛ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t✳ ❛✮
❘●❇ ■♠❛❣❡✱ ❜✮❞r❛✇♥ ▼❛s❦✱ ❝✮ ❞♦✉❜❧❡ ♠❛s❦✳
■♠❛❣❡ ♣r♦❝❡ss✐♥❣ ♠❡t❤♦❞ ❢♦r ❧❡❛✈❡s ❡✈❛❧✉❛t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ✐♥
s✉❣❛r❜❡❡t ♣❧❛♥ts
❚❤❡ s❡❧❡❝t✐♦♥ ❛♥❞ ❡✈❛❧✉❛t✐♦♥ ♦❢ ✐♥❞❡①❡s t♦ s❡❣♠❡♥t s✉❣❛r❜❡❡t ♣❧❛♥ts ❢r♦♠ t❤❡
❜❛❝❦❣r♦✉♥❞ ❝♦♠♣❧❡t❡❞ t❤❡ ♣r♦♣♦s❡❞ ✐♠❛❣❡ ♣r♦❝❡ss✐♥❣ ♠❡t❤♦❞ t♦ ❡✈❛❧✉❛t❡ ❧❡❛❢✲
❤②♣❡rs♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ✐♥❢❡❝t❡❞ ♣❧❛♥ts✳ ❚❤❡ ♠❡t❤♦❞ ❜❡❣❛♥
✇✐t❤ t❤❡ ❛❝q✉✐s✐t✐♦♥ ♦❢ t❤❡ r❛✇ ✐♠❛❣❡✱ ✇❤✐❝❤ ✇❛s ✜rst ♥♦r♠❛❧✐③❡❞ ❛♥❞ s✉❜s❡✲
q✉❡♥t❧② s♠♦♦t❤❡❞✳ ❚❤✐s st❛❣❡ ✇❛s ♥❛♠❡❞ s♣❡❝tr❛❧ ♣r❡✲♣r♦❝❡ss✐♥❣✳ ❚❤❡ ❢♦❧❧♦✇✐♥❣
st❛❣❡ ❝♦♥s✐st❡❞ ✐♥ ❞❛t❛ ♣r♦❝❡ss✐♥❣✱ ✇❤❡r❡ ❖❙❆❱■✲ ❛♥❞ ❉❱■✲❜✐♥❛r②✲♠❛s❦s ✇❡r❡
❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡ s♠♦♦t❤❡❞ ✐♠❛❣❡ t♦ ♠❡r❣❡ t❤❡♠ ✐♥ ❛ ♣r✐♠❛r② ♠❛s❦✳ ❚♦ ❛✈♦✐❞
♠✐①❡❞ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ❢r♦♠ ❜♦r❞❡r ♣✐①❡❧s✱ ♠♦r♣❤♦❧♦❣✐❝❛❧ ♦♣❡r❛t✐♦♥ ❡r♦s✐♦♥
✇❛s ❛♣♣❧✐❡❞ t♦ ♣r♦❞✉❝❡ t❤❡ ✈❡❣❡t❛t✐♦♥ ♠❛s❦✱ ✇❤✐❝❤ ❛t t❤❡ s❛♠❡ t✐♠❡ ❞❡❧✐♠✐ts
t❤❡ ❘❖■✳ ❋✐♥❛❧❧②✱ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ✇❛s ❡①tr❛❝t❡❞ ❛♥❞ ❛♥❛❧②③❡❞ ❛t ❞✐✛❡r❡♥t
❞✐s❡❛s❡ s❡✈❡r✐t✐❡s ♦❢ ♣❧❛♥ts ✐♥❢❡❝t❡❞ ✇✐t❤ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✭❋✐❣✉r❡ ✹✳✺✮✳
✷✶
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
❋✐❣✉r❡ ✹✳✺✿ ■♠❛❣✐♥❣✲♠❡t❤♦❞ t♦ s❡❣♠❡♥t ❛♥❞ ❡①tr❛❝t r❡❧❡✈❛♥t ✐♥❢♦r♠❛t✐♦♥ ❢r♦♠
❧❡❛❢✲❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❝✉❜❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ✐♥❢❡❝t❡❞ ♣❧❛♥ts✳
✷✷
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✶✳✸ ❈♦♥s❡q✉❡♥❝❡s ♦❢ s✉❣❛r❜❡❡t ❛♥❞ ❘❤✐③♦❝t♦♥✐❛
✐♥t❡r❛❝t✐♦♥ ♦♥ r❡❢r❛❝t✐✈❡ ♣r♦♣❡rt✐❡s ♦❢ ❧❡❛✈❡s
❋✐❣✉r❡ ✹✳✻ s❤♦✇s t❤❡ ❛✈❡r❛❣❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ♦r❞❡r❡❞ ❣r❛♣❤✐❝❛❧❧② ✐♥ r❡❧❛t✐♦♥
✇✐t❤ t❤❡ ❞❛② ♦❢ ✐♥♦❝✉❧❛t✐♦♥ ❛♥❞ ❡①♣♦s❡❞ ✐♥❞✐✈✐❞✉❛❧❧② ❢♦r ❡❛❝❤ tr❡❛t♠❡♥t✳ ◆♦♥✲
✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ s❧✐❣❤t ✢✉❝t✉❛t✐♦♥s ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✺✷✵ t♦ ✻✺✵ ♥♠
❛♥❞ s✉❞❞❡♥ ✢✉❝t✉❛t✐♦♥s ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✼✸✵ t♦ ✾✺✵ ♥♠✳ ■♥ t❤❡ ♠❡♥t✐♦♥❡❞ r❡✲
❣✐♦♥s ❛♥❞ ❛t ✶✷ ❞❛✐✱ t❤❡ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡ ♦❢ t❤✐s tr❡❛t♠❡♥t ♣r❡s❡♥t❡❞ ❤✐❣❤❡r
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s t❤❛♥ t❤❡ r❡st ❡✈❛❧✉❛t✐♦♥ ❞❛t❡s✳ ❚❤❡ ♠❡❛♥ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥
♦❢ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❡①❤✐❜✐t❡❞ ❛♥ ✐♥❝r❡❛s✐♥❣ t❡♥❞❡♥❝② ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✻✵✵
✲ ✼✵✵ ♥♠ ❞✉r✐♥❣ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t✳ ■♥ ❝♦♥tr❛st✱ t❤❡ r❡❣✐♦♥ ♦❢ ✼✸✵ ✲ ✾✺✵ ♥♠
♣r❡s❡♥t❡❞ ❧♦✇❡r ✈❛❧✉❡s ❛t ✶✷✱ ✶✹ ❛♥❞ ✶✼ ❞❛✐ t❤❛♥ ✐♥ t❤❡ ♣r❡✈✐♦✉s ♠❡❛s✉r❡♠❡♥ts✳
❍✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s s❤♦✇❡❞ ❛♣♣❛r❡♥t❧② s✐♠✐❧❛r ❜❡❤❛✈✐♦r t❤❛♥ ❧♦✇✲✐♥♦❝✉❧❛t❡❞
✇✐t❤ t❤❡ ❞✐✛❡r❡♥❝❡ t❤❛t t❤❡ r❡❣✐♦♥ ♦❢ ✼✸✵ ✲ ✾✺✵ ♥♠ ❞❡❝❧✐♥❡❞ ❣r❛❞✉❛❧❧②✱ ❛♥❞ ♥♦t
❞r❛st✐❝❛❧❧② ❛s ✐♥ t❤❡ ❢♦✉r✲❤❛❧❢✲❣r❛✐♥ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✳
❚❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✐s ✐❧❧✉str❛t❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✼ ✐♥❞❡♣❡♥❞❡♥t❧②
❢♦r ❡❛❝❤ tr❡❛t♠❡♥t✳ ❚❤❡ ❝✉r✈❡s ♦❢ ❛❧❧ tr❡❛t♠❡♥ts s❤♦✇❡❞ ✈❛❧✉❡s ♦❢ ③❡r♦ ❝❧♦s❡
t♦ ✹✼✵✲✱ ✺✺✵✲✱ ✻✽✵✲ ❛♥❞ ✽✵✵✲♥♠ ❜❛♥❞✱ ✇❤✐❝❤ ❛t t❤❡ s❛♠❡ t✐♠❡ r❡♣r❡s❡♥t❡❞ t❤❡
❧♦❝❛❧ ♠❛①✐♠✉♠ ✭✺✺✵ ♥♠✮ ❛♥❞ ❧♦❝❛❧ ♠✐♥✐♠✉♠ ✭✹✼✵✱ ✻✽✵ ❛♥❞ ✽✵✵ ♥♠✮ ♦❢ t❤❡ ❧❡❛❢✲
r❡✢❡❝t❛♥❝❡ s✐❣♥❛t✉r❡ ♦❢ s✉❣❛r ❜❡❡t✳ ❆❝r♦ss ❛❧❧ tr❡❛t♠❡♥ts✱ t❤❡ r❡❣✐♦♥ ❜❡t✇❡❡♥ ✻✾✵
❛♥❞ ✼✹✵ ♥♠ ♣r❡s❡♥t❡❞ t❤❡ ❤✐❣❤❡st ✈❛❧✉❡s ♦❢ ❛❧❧ ❝✉r✈❡s✳ ❚❤✐s r❡❣✐♦♥ ❞❡s❝r✐❜❡❞ ❛♥
✐♥t❡r✈❛❧ ✇✐t❤ ❤✐❣❤ s❧♦♣❡ ♦r ✐♥❝r❡❛s❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡✳ ❈♦♥tr♦❧ s❛♠♣❧❡s s❤♦✇❡❞ ❛
✢✉❝t✉❛t✐♦♥ ✐♥ t❤❡ r❡❣✐♦♥ ❢r♦♠ ✼✵✵ t♦ ✼✸✵ ♥♠✳ ❍♦✇❡✈❡r✱ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞
s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ❛ ❣r❛❞✉❛❧ ✐♥❝r❡❛s❡ ❛♥❞ ❞❡❝r❡❛s❡ ✐♥ t❤❡ r❡❣✐♦♥ ❢r♦♠ ✺✻✵ t♦ ✻✹✵
❛♥❞ ✻✾✵ t♦ ✼✹✵ ♥♠✱ r❡s♣❡❝t✐✈❡❧②✳
■♥ ❛❞❞✐t✐♦♥ t♦ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡✱ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡✱ ❞♦✉❜❧❡ ❞❡r✐✈❛t✐✈❡ ♦r
❞♦✉❜❧❡ ❛♥t✐✲✐♥t❡❣r❛❧ ✈❛❧✉❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❛r❡ s❤♦✇♥ ✐♥ ❋✐❣✉r❡ ✹✳✽✳ ❆❧❧ tr❡❛t✲
♠❡♥ts ♣r❡s❡♥t t❤❡ ✈❛❧✉❡ ♦❢ ③❡r♦ ♥❡❛r ❜❛♥❞s ✇✐t❤ ✺✷✺✱ ✺✽✵✱ ✻✹✵✱ ✼✶✵✱ ✼✾✵ ❛♥❞ ✾✸✵
♥♠✳ ❚❤✐s ❞❡s❝r✐❜❡s t❤❡ ♣♦ss✐❜✐❧✐t② ♦❢ ✐♥✢❡❝t✐♦♥ ♣♦✐♥ts ✐♥ t❤❡ r❡✢❡❝t❛♥❝❡ s✐❣♥❛t✉r❡
♦❢ s✉❣❛r ❜❡❡ts✳ ◆♦♥✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ✢✉❝t✉❛t✐♦♥s ✐♥ r❡❣✐♦♥s ❜❡t✇❡❡♥
✺✷✵ ❛♥❞ ✺✽✵✱ ✻✺✵ ❛♥❞ ✼✵✵ ♥♠✱ ✼✸✵ ❛♥❞ ✼✻✵ ♥♠✳ ❆t t❤❡ s❛♠❡ t✐♠❡✱ t❤❡② r❡✲
✈❡❛❧❡❞ ♥❡❣❛t✐✈❡✱ ♣♦s✐t✐✈❡ ❛♥❞ ♥❡❣❛t✐✈❡ ✈❛❧✉❡s✱ r❡s♣❡❝t✐✈❡❧②✳ P♦s✐t✐✈❡ ✈❛❧✉❡s ♦❢ t❤❡
s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ r❡♣r❡s❡♥t❡❞ t❤❡ ✉♣✇❛r❞❧② ❝♦♥❝❛✈❡ ♣♦✐♥ts ♦❢ r❡✢❡❝t❛♥❝❡ ✇❤✐❧❡
♥❡❣❛t✐✈❡ ✈❛❧✉❡s s❤♦✇❡❞ t❤❡ ♦♣♣♦s✐t❡✳ ▲♦✇ ❛♥❞ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞
t❤❡ s❛♠❡ ✢✉❝t✉❛t✐♦♥s ❛s ❝♦♥tr♦❧ ♣❧❛♥ts✳ ❍♦✇❡✈❡r✱ ❤✐❣❤❡r ✈❛❧✉❡s ✇❡r❡ s❤♦✇♥ ✐♥
t❤❡ ❧❛st ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ❢r♦♠ ✺✷✵ t♦ ✺✽✵ ❛♥❞ ❢r♦♠ ✼✸✵ t♦ ✼✻✵ ♥♠✱ ❛♥❞ ❧♦✇❡r
✈❛❧✉❡s ❢r♦♠ ✺✷✵ t♦ ✺✽✵ ♥♠ t❤❛♥ t❤❡ ✜rst ✜✈❡ ♠❡❛s✉r❡♠❡♥ts✳ ■♥ ❛❞❞✐t✐♦♥✱ ❞✐s❡❛s❡❞
♣❧❛♥ts ♣r❡s❡♥t❡❞ ❛ ✢✉❝t✉❛t✐♦♥ ♦❢ ✈❛❧✉❡s ✐♥ t❤❡ r❡❣✐♦♥ ❜❡t✇❡❡♥ ✺✽✵ ❛♥❞ ✻✸✵ ♥♠
✇✐t❤ ❛ t❡♥❞❡♥❝② t♦ ❞❡❝r❡❛s❡ ✐♥ t❤❡ ❧❛st ♠❡❛s✉r❡♠❡♥ts✳
✷✸
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Leaf−reflectance development
1.25
1.00
1. Control
0.75
0.50
0.25
0.00
1.2
Date
2. Low inoculated
Reflection
0.9
0.6
0.3
01 d b i
03 d a i
05 d a i
07 d a i
10 d a i
12 d a i
14 d a i
17 d a i
0.0
1.2
0.9
3. High inoculated
0.6
0.3
0.0
500
600
700
800
900
Wavelength [nm]
❋✐❣✉r❡ ✹✳✻✿ ▲❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ❞✉r✐♥❣ ❘❤✐③♦❝t♦♥✐❛✲r♦♦t✲r♦t ❞✐s❡❛s❡
❢r♦♠ t❤r❡❡ tr❡❛t♠❡♥ts✿ ✶✮ ❝♦♥tr♦❧✱ ✷✮❧♦✇ ✐♥♦❝✉❧❛t❡❞✱ ✸✮ ❤✐❣❤ ✐♥♦❝✉✲
❧❛t❡❞✳
✷✹
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
1st Derivative of leaf−reflectance development
0.04
1. Control
0.02
0.00
0.05
0.04
Date
R'
2. Low inoculated
0.03
0.02
0.01
0.00
01 d b i
03 d a i
05 d a i
07 d a i
10 d a i
12 d a i
14 d a i
17 d a i
−0.01
0.05
0.04
3. High inoculated
0.03
0.02
0.01
0.00
−0.01
500
600
700
800
900
Wavelength [nm]
❋✐❣✉r❡ ✹✳✼✿ ❋✐rst ❞❡r✐✈❛t✐✈❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ❞✉r✐♥❣ ❘❤✐③♦❝t♦♥✐❛✲
r♦♦t✲r♦t ❞✐s❡❛s❡ ❢r♦♠ t❤r❡❡ tr❡❛t♠❡♥ts✿ ✶✮ ❝♦♥tr♦❧✱ ✷✮❧♦✇ ✐♥♦❝✉❧❛t❡❞✱
✸✮ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✳
✷✺
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
2nd Derivative of leaf−reflectance development
0.003
0.002
0.001
1. Control
0.000
−0.001
−0.002
−0.003
0.003
0.002
Date
2. Low inoculated
R''
0.001
0.000
−0.001
01 d b i
03 d a i
05 d a i
07 d a i
10 d a i
12 d a i
14 d a i
17 d a i
−0.002
0.003
0.002
3. High inoculated
0.001
0.000
−0.001
−0.002
500
600
700
800
900
Wavelength [nm]
❋✐❣✉r❡ ✹✳✽✿ ❙❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❡✈❡❧♦♣♠❡♥t ❞✉r✐♥❣ ❘❤✐③♦❝t♦♥✐❛✲
r♦♦t✲r♦t ❞✐s❡❛s❡ ❢r♦♠ t❤r❡❡ tr❡❛t♠❡♥ts✿ ✶✮ ❝♦♥tr♦❧✱ ✷✮❧♦✇ ✐♥♦❝✉❧❛t❡❞✱
✸✮ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✳
✷✻
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✶✳✹ ■♠♣♦rt❛♥t s♣❡❝tr❛❧ r❡❣✐♦♥s ❢♦r ❘❤✐③♦❝t♦♥✐❛ ❞❡t❡❝t✐♦♥
❢r♦♠ ❧❡❛✈❡s r❡✢❡❝t❛♥❝❡
❙♣❡❝tr❛❧ r❡❣✐♦♥s ♦❢ r❡✢❡❝t❛♥❝❡
❋♦❧❧♦✇✐♥❣ t❤❡ st❡♣s ❞❡s❝r✐❜❡❞ ✐♥ ❋✐❣✉r❡ ✸✳✹✱ t❤❡ ♣r♦❝❡❞✉r❡ t♦ s❡❧❡❝t ❜❛♥❞s st❛rt❡❞
❜② ♦r❞❡r✐♥❣ t❤❡ ❞❛t❛ ❢r♦♠ ✶✼ ❞❛✐ t♦ ✶ ❞❜✐✳ ❚❤❡♥✱ t❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s
✇❛s ♣❡r❢♦r♠❡❞ ❢♦r r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ❛t ✶✼ ❞❛✐✳ ❚❤❡ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ t❤❡
✜rst✲ ❛♥❞ t❤❡ s❡❝♦♥❞✲♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❝♦♦r❞✐♥❛t❡ s②st❡♠ s❤♦✇❡❞ t❤❛t t❤❡ ✜rst
Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ✭P❈✶✮ s❡♣❛r❛t❡❞ t❤❡ ♠♦st ❤❡❛❧t❤② ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s
✭❋✐❣✳ ✽✳✷✮✳ ❆t ✶✹ ❞❛✐✱ ❤❡❛❧t❤② ❛♥❞ ❞✐s❡❛s❡❞ s❛♠♣❧❡s ✇❡r❡ ❞✐✛❡r❡♥t✐❛t❡❞ ❜② t❤❡
s❡❝♦♥❞ Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ✭P❈✷✮ ♦❢ t❤❡ ♥❡✇ ❛♥❛❧②s✐s✳ ❆t ✶✷ ❞❛✐✱ ❣r♦✉♣s ✇❡r❡
❛❧s♦ ❝❧❡❛r❧② s❡♣❛r❛t❡❞ ❜② P❈✷✳ ❋♦r t❤❡ ❛♥❛❧②s✐s ❛t ✶✵ ❞❛✐✱ ❤❡❛❧t❤② ❛♥❞ ✐♥♦❝✉❧❛t❡❞
♦❜s❡r✈❛t✐♦♥s ✇❡r❡ ♥♦t ❝❧❡❛r❧② ❞✐✛❡r❡♥t✐❛t❡❞ ❜② t❤❡ ❝♦♦r❞✐♥❛t❡ s②st❡♠✳ ❚❤✐s ✐s
✇❤② t❤✐s ✐♥❢♦r♠❛t✐♦♥ ✇❛s ♥♦t ❝♦♥s✐❞❡r❡❞ ✐♥ ❛♥② ❢✉rt❤❡r ❛♥❛❧②s❡s✳ ❚❤❡ ♥❡①t st❡♣
✐♥✈♦❧✈❡❞ ❞❡t❡r♠✐♥✐♥❣ t❤❡ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ❢♦r ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥ts ❛♥❞ ❛❧❧
❜❛♥❞s✳ ❙✉❜s❡q✉❡♥t❧②✱ ❛ ❤✐❣❤ ❧✐♥❡❛r r❡❧❛t✐♦♥s❤✐♣ ✇✐t❤ ❛ ❝♦❡✣❝✐❡♥t ❤✐❣❤❡r✱ ❡q✉❛❧ ♦r
❧♦✇❡r t❤❛♥ ±0.9 ✇❛s ✐❞❡♥t✐✜❡❞✳ ❆t ✶✼ ❞❛✐✱ ✷✵ ❜❛♥❞s ✇❡r❡ ✐❞❡♥t✐✜❡❞ ✐♥ t❤❡ r❡❣✐♦♥
♦❢ ✻✵✵✲✻✹✽ ♥♠ ❛♥❞ ✻✽✼✲✻✾✼ ♥♠ ✭❚❛❜❧❡ ✽✳✼✮✳ ❋♦r ❝♦rr❡❧❛t✐♦♥s ❛t ✶✹ ❛♥❞ ✶✷ ❞❛✐✱ ♥♦
str♦♥❣ ❧✐♥❡❛r r❡❧❛t✐♦♥s❤✐♣ ✇❛s ✐❞❡♥t✐✜❡❞ ❜❡t✇❡❡♥ t❤❡ r❡s♣❡❝t✐✈❡ P❈ ❛♥❞ ❛❧❧ ❜❛♥❞s
✭❛♥❛❧②s✐s ❛t ✶✹ ❞❛✐✱ ❚❛❜❧❡ ✽✳✽✮✳ ❋♦r t❤✐s r❡❛s♦♥✱ ♥♦ ✈❛r✐❛❜❧❡s ✇❡r❡ s❡❧❡❝t❡❞ ♦♥
t❤❡s❡ ❞❛t❡s✳
■♥ t❤❡ ❧❛st st❡♣ ♦❢ ❜❛♥❞ s❡❧❡❝t✐♦♥✱ ♥♦ ❜❛♥❞ ✇❛s s❡❧❡❝t❡❞ ❢♦r r❡✢❡❝t❛♥❝❡✱ ❜❡❝❛✉s❡
r❡❣✐♦♥s ♦❢ ✻✵✵✲✻✹✽ ❛♥❞ ✻✽✼✲✻✾✼ ♥♠ ✇♦✉❧❞ ♥♦t ♣r♦✈✐❞❡ r❡❧❡✈❛♥t ✐♥❢♦r♠❛t✐♦♥ ❢♦r
❡❛r❧② ❞❡t❡❝t✐♦♥✳ ❚❤❡ s✉♠♠❛r② ♦❢ t❤✐s ♣r♦❝❡❞✉r❡ ✐s ♣r❡s❡♥t❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✾✳
✷✼
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Band selection process of reflectance
1
2
3
4
dai
PCA
health
differentiation
Variable ( |r| >0.9) : R[i]
=
Bands
selection
17
PC 1
i: 618; 615; 621; 624; 612; 627; 630; 609;
633; 636; 606; 639; 603; 642; 645; 600;
690; 648; 687; 697 nm
14
PC 2
12
PC 2
non-constant
bands
10
7
5
PC [j] Health differentiation
3
No health differentiation
dbi 1
j : Number of principal
component
❋✐❣✉r❡ ✹✳✾✿ ❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ♦❢ ❤②♣❡rs♣❡❝tr❛❧✲
✐♠❛❣❡s ✐♥ ❢♦✉r st❡♣s✿ ✶✮ ♦r❞❡r t❤❡ ❞❛t❛ ❜② ❛❝q✉✐s✐t✐♦♥ ❞❛t❡✱ ✷✮ ❞✐✛❡r✲
❡♥t✐❛t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞✐s❡❛s❡❞✲❣r♦✉♣s ❜② P❈❆ ✱ ✸✮ ✐❞❡♥t✐✜❝❛t✐♦♥
♦❢ ❝♦rr❡❧❛t❡❞ ❜❛♥❞s✱ ✹✮ ✜❧t❡r✐♥❣ ♦❢ ❝♦♥s✐st❡♥t ♣r❡s❡♥❝❡✳
✷✽
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
❙♣❡❝tr❛❧ r❡❣✐♦♥s ♦❢ ✜rst ❞❡r✐✈❛t✐✈❡ ❛♥❞ ❝♦rr❡❧❛t✐♦♥ ❧❡✈❡❧
❚❤❡ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ❞❛t❛ ✐♥ t❤❡ P❈✶✲P❈✷ ❝♦♦r❞✐♥❛t❡ s②st❡♠
s❤♦✇❡❞ t❤❛t P❈✶✱ P❈✶✱ ❛♥❞ P❈✷ ❞✐✛❡r❡♥t✐❛t❡❞ ❝♦♥tr♦❧ ♣❧❛♥ts ❢r♦♠ ✐♥♦❝✉❧❛t❡❞
♣❧❛♥ts ❛t ✶✼✱ ✶✹✱ ❛♥❞ ✶✷ ❞❛✐✱ r❡s♣❡❝t✐✈❡❧② ✭❋✐❣✉r❡ ✽✳✸✮✳ ❆t ✶✼ ❞❛✐✱ P❈✶ ♣r❡s❡♥t❡❞
❛ str♦♥❣ ❝♦rr❡❧❛t✐♦♥ ✇✐t❤ t❤❡ r❡❣✐♦♥ ♦❢ ✺✺✾✲✻✵✵✱ ✼✶✶✲✼✷✵✱ ❛♥❞ ✼✽✻✲✽✶✽ ♥♠ ❛♥❞ ✇✐t❤
t❤❡ ✹✻✻✲ ❛♥❞ ✻✻✾✲♥♠ ❜❛♥❞ ✭❚❛❜❧❡ ✽✳✾✮✳ ❆t ✶✹ ❞❛✐✱ P❈✶ ♣r❡s❡♥t❡❞ ❛ str♦♥❣ ❝♦rr❡✲
❧❛t✐♦♥ ✇✐t❤ t❤❡ r❡❣✐♦♥ ♦❢ ✼✽✻✲✽✶✷ ♥♠ ✭❚❛❜❧❡ ✽✳✶✵✮❛♥❞ ❛t ✶✷ ❞❛✐✱ P❈✷ ♣r❡s❡♥t❡❞ ❛
str♦♥❣ ❝♦rr❡❧❛t✐♦♥ ✇✐t❤ t❤❡ r❡❣✐♦♥s ♦❢ ✼✷✵✲✼✷✾ ♥♠ ❛♥❞ ✼✽✻✲✽✵✻ ♥♠ ✭❚❛❜❧❡ ✽✳✶✶✮✳
❋✐♥❛❧❧②✱ ✐♥ t❤❡ ❧❛st ♣r♦❝❡❞✉r❡ st❡♣✱ t❤❡ t✐♠❡✲s❡r✐❡s r❡♣❡❛t❡❞ ❜❛♥❞s ✇❡r❡ ✐❞❡♥t✐✜❡❞
❢r♦♠ t❤❡ ❡✐❣❤t❤✲✱ s❡✈❡♥t❤✲✱ ❛♥❞ s✐①t❤✲♠❡❛s✉r❡♠❡♥t ❞❛t❡ ❛♥❞ s❡❧❡❝t❡❞ ❛❝❝♦r❞✐♥❣❧②✳
❚❤❡s❡ ❜❛♥❞s ❜❡❧♦♥❣✐♥❣ t♦ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✇❡r❡ ✼✽✻✱ ✼✽✾✱ ✼✾✷✱
✼✾✺✱ ✼✾✽✱ ✽✵✵✱ ✽✵✸ ❛♥❞ ✽✵✻ ♥♠ ♦r t❤❡ r❡❣✐♦♥ ❜❡t✇❡❡♥ ✼✽✻ ❛♥❞ ✽✵✻ ♥♠✳ ❚❤❡
s✉♠♠❛r② ♦❢ t❤✐s ♣r♦❝❡❞✉r❡ ✐s ✐❧❧✉str❛t❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✶✵✳
❙♣❡❝tr❛❧ r❡❣✐♦♥s ♦❢ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❛♥❞ ❝♦rr❡❧❛t✐♦♥ ❧❡✈❡❧
❋♦r t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❞❛t❛✱ t❤❡ t✐♠❡✲s❡r✐❡s P❈❆ s❤♦✇❡❞ t❤❛t t❤❡ ✜rst ♣r✐♥❝✐♣❛❧
❝♦♠♣♦♥❡♥t ✇❛s r❡❧❡✈❛♥t t♦ ❞✐✛❡r❡♥t✐❛t❡ ❤❡❛❧t❤② ❛♥❞ ❞✐s❡❛s❡❞ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥
❛t ✶✼✱ ✶✹ ❛♥❞ ✶✷ ❞❛✐ ✭❋✐❣✉r❡ ✽✳✹✮✳ ❆t ✶✼ ❞❛✐✱ P❈✶ ♣r❡s❡♥t❡❞ ❛ str♦♥❣ ❝♦rr❡❧❛t✐♦♥
✇✐t❤ t❤❡ r❡❣✐♦♥ ♦❢ ✺✶✹✲✺✶✼✱ ✺✽✽✲✻✸✻✱ ✻✽✹✲✼✷✵✱ ❛♥❞ ✼✹✶✲✼✾✺ ♥♠ ✭❚❛❜❧❡ ✽✳✶✷✮✳ ❖♥
t❤❡ ♥❡①t ♠❡❛s✉r❡♠❡♥t ❞❛t❡✱ t❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ✇❛s ❝♦rr❡❧❛t❡❞ ✇✐t❤ ❜❛♥❞
✺✽✽✱ ❛♥❞ ❛t t❤❡ s❛♠❡ t✐♠❡ ✇✐t❤ t❤❡ r❡❣✐♦♥s ✻✶✺✲✻✸✸✱ ✼✵✷✲✼✶✼✱ ❛♥❞ ✼✻✷✲✼✾✽ ♥♠
✭❚❛❜❧❡ ✽✳✶✸✮✳ ▲❛st❧②✱ ❛t ✶✷ ❞❛✐✱ t❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ✇❛s ❝♦rr❡❧❛t❡❞ ✇✐t❤
t❤❡ r❡❣✐♦♥s ✹✺✶✲✹✼✽✱ ✺✷✸✲✺✷✻✱ ✺✽✺✲✺✽✽✱ ❛♥❞ ✼✶✹✲✼✷✸ ♥♠ ✭❚❛❜❧❡ ✽✳✶✹✮✳ ❋♦r t❤✐s✱
r❡✢❡❝t❛♥❝❡ ❞❛t❛ ✇❛s s❡❧❡❝t❡❞ t❤❡ ❜❛♥❞s r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✹✱ ✼✶✼ ❛♥❞ ✼✾✺ ♥♠ ✭❋✐❣✳
✹✳✶✶✮✳
✷✾
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Band selection process of 1st derivative reflectance
1
2
3
4
dai
PCA
health
differentiation
Variable ( |r| >0.9) : R[i]
=
Bands
selection
PC 1
i: 800; 798; 803; 795; 806; 792; 809; 789; 669; 812; 565;
562; 568; 789; 571; 574; 577; 579; 582; 559; 815; 585;
588; 591; 594; 597; 466;714; 711; 717; 818; 600;
720 nm
14
PC 1
798; 800; 795; 803; 792;
806; 789;809; 786; 812 nm
12
PC 2
789; 792; 786; 795; 798; 800; 803; 806;
723; 726; 729; 720 nm
17
R 798
R 800
R 795
R 803
R 792
R 806
10
R 789
7
R 786
5
PC [j] Health differentiation
3
No health differentiation
dbi 1
j : Number of principal
component
❋✐❣✉r❡ ✹✳✶✵✿ ❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✐♥❢♦r✲
♠❛t✐♦♥ ♦❢ ❤②♣❡rs♣❡❝tr❛❧✲✐♠❛❣❡s ✐♥ ❢♦✉r st❡♣s✿ ✶✮ ♦r❞❡r t❤❡ ❞❛t❛ ❜②
❛❝q✉✐s✐t✐♦♥ ❞❛t❡✱ ✷✮ ❞✐✛❡r❡♥t✐❛t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞✐s❡❛s❡❞✲❣r♦✉♣s ❜②
P❈❆ ✱ ✸✮ ✐❞❡♥t✐✜❝❛t✐♦♥ ♦❢ ❝♦rr❡❧❛t❡❞ ❜❛♥❞s✱ ✹✮ ✜❧t❡r✐♥❣ ❜② ❝♦♥st❛♥❝❡✳
✸✵
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Band selection process of 2nd derivative reflectance
1
2
3
4
dai
PCA
health
differentiation
Variable ( |r| >0.9) : R[i]
=
Bands
selection
17
PC 1
i: 759; 762; 756; 765; 699; 702; 768; 753; 771; 696; 705; 774; 750;
777; 708; 780; 693; 747; 783; 711; 786; 744; 690; 714; 789; 615;
612; 618; 609; 621; 606; 624; 603; 717; 600; 741; 627; 597; 594;
792; 591; 687; 630; 588; 633; 720; 517; 514; 795; 636; 684 nm
14
PC 1
789; 792; 786; 783; 780; 711; 795; 714; 777; 708;
774; 771; 717; 768; 705; 624; 627; 621; 798; 630;
765; 618; 762; 615; 633; 702; 588 nm
PC 1
720; 717; 723; 451; 454; 457; 460; 588;
463; 714; 466; 523; 469; 585; 472; 526;
475; 798; 478; 795 nm
12
R 588
R 714
R 717
10
7
R 795
5
PC [j] Health differentiation
3
No health differentiation
dbi 1
j : Number of principal
component
❋✐❣✉r❡ ✹✳✶✶✿ ❇❛♥❞ s❡❧❡❝t✐♦♥ ♣r♦❝❡ss ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✐♥✲
❢♦r♠❛t✐♦♥ ♦❢ ❤②♣❡rs♣❡❝tr❛❧✲✐♠❛❣❡s ✐♥ ❢♦✉r st❡♣s✿ ✶✮ ♦r❞❡r t❤❡ ❞❛t❛ ❜②
❛❝q✉✐s✐t✐♦♥ ❞❛t❡✱ ✷✮ ❞✐✛❡r❡♥t✐❛t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞✐s❡❛s❡❞✲❣r♦✉♣s ❜②
P❈❆ ✱ ✸✮ ✐❞❡♥t✐✜❝❛t✐♦♥ ♦❢ ❝♦rr❡❧❛t❡❞ ❜❛♥❞s✱ ✹✮ ✜❧t❡r✐♥❣ ❜② ❝♦♥st❛♥❝❡✳
❈♦rr❡❧❛t✐♦♥ ❞❡❣r❡❡ ♦❢ s❡❧❡❝t❡❞ ❜❛♥❞s
❚❤❡ t❡st ♦❢ ♥♦r♠❛❧✐t② ♦❢ t❤❡ s❡❧❡❝t❡❞ ✜rst✲ ❛♥❞ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❜❛♥❞s s❤♦✇❡❞
t❤❛t ❡❛❝❤ ✈❛r✐❛❜❧❡ ❤❛s ❛ ❞❛t❛ ❞✐str✐❜✉t✐♦♥ s✐❣♥✐✜❝❛♥t❧② ❞✐✛❡r❡♥t ❢r♦♠ ❛ ♥♦r♠❛❧
❞✐str✐❜✉t✐♦♥ ✭❚❛❜❧❡ ✽✳✶✺✮✳
❙✉♣♣♦rt❡❞ ❜② t❤✐s ♣r❡✈✐♦✉s ❛♥❛❧②s✐s✱ t❤❡ ❝♦rr❡❧❛t✐♦♥ t❡st ✇✐t❤✐♥ t❤❡ ✜rst ❞❡r✐✈❛✲
t✐✈❡ ❜❛♥❞s ✇✐t❤ t❤❡ ♥♦♥✲♣❛r❛♠❡tr✐❝ ♠❡t❤♦❞ ✧❑❡♥❞❛❧❧✧ s❤♦✇❡❞ t❤❛t t❤❡ ✼✽✻✲ ✱ ✼✽✾✲✱
✼✾✷✲✱ ✼✾✺✲✱ ✼✾✽✲✱ ✽✵✵✲✱ ✽✵✸✲ ❛♥❞ ✽✵✻✲♥♠ ❜❛♥❞s ❛r❡ r❡❝✐♣r♦❝❛❧❧② ❛♥❞ s✐❣♥✐✜❝❛♥t❧②
❝♦rr❡❧❛t❡❞ ✭❚❛❜❧❡ ✽✳✶✻✮❀ ❚❤❡ ❤✐❣❤❡st ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✇❛s ❢♦✉♥❞ ❜❡t✇❡❡♥ t❤❡
✼✽✾✲ ❛♥❞ ✼✾✷✲♥♠ ❜❛♥❞ ✇✐t❤ ❛ ✈❛❧✉❡ ♦❢ ✵✳✾✾✳ ❚❤❡ ❧♦✇❡st ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✇❛s
❢♦✉♥❞ ✐♥ ❜❛♥❞s ♦❢ ✼✽✻ ❛♥❞ ✽✵✻ ♥♠ ✇✐t❤ ❛ ✈❛❧✉❡ ♦❢ ✵✳✻✸✳
■♥ ❝❛s❡ ♦❢ t❤❡ s❡❧❡❝t❡❞ ❜❛♥❞s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ s❡❧❡❝t✐♦♥ ♣r♦❝❡❞✉r❡✱ t❤❡
❛♥❛❧②s✐s ♦❢ ❝♦rr❡❧❛t✐♦♥ ♣❡r❢♦r♠❡❞ ✇✐t❤ t❤❡ ❑❡♥❞❛❧❧ ♠❡t❤♦❞ s❤♦✇❡❞ t❤❛t t❤❡ ✺✽✽✲✱
✼✶✹✲✱ ✼✶✼✲ ❛♥❞ t❤❡ ✼✾✺✲♥♠ ❜❛♥❞ ✇❡r❡ ❛❧s♦ s✐❣♥✐✜❝❛♥t❧② ❝♦rr❡❧❛t❡❞✳ ❚❤❡ ❤✐❣❤❡st
❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✇❛s s❝♦r❡❞ ❜② t❤❡ ✼✶✹✲ ❛♥❞ ✼✶✼✲♥♠ ❜❛♥❞ ✇✐t❤ ❛ ✈❛❧✉❡ ♦❢
✵✳✾✵✱ ❛♥❞ t❤❡ ❧♦✇❡st ❝♦❡✣❝✐❡♥t ✇❛s s❝♦r❡❞ t❤❡ ✺✽✽✲ ❛♥❞ ✼✾✺✲♥♠ ❜❛♥❞ ✇✐t❤ ❛ ✈❛❧✉❡
♦❢ ✲ ✵✳✼✵ ✭❚❛❜❧❡ ✽✳✶✼✮✳
▲❛st❧②✱ t♦ ♦❜s❡r✈❡ t❤❡ ❞❡❣r❡❡ ♦❢ r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ t❤❡ ✜rst✲ ❛♥❞ t❤❡ s❡❝♦♥❞✲
❞❡r✐✈❛t✐✈❡ ❜❛♥❞ ♦❢ ✼✾✺ ♥♠✱ ❛♥ ❛❞❞✐t✐♦♥❛❧ ❝♦rr❡❧❛t✐♦♥ t❡st ✇❛s ♣❡r❢♦r♠❡❞ ✇✐t❤
s✐❣♥✐✜❝❛♥t r❡s✉❧ts ❛♥❞ ❛ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡ ♦❢ ✵✳✼✸✳
✸✶
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
❈❤❡♠✐❝❛❧ ✐♠❛❣❡s ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡
❙✉♣♣♦rt❡❞ ❜② t❤❡ t✐♠❡✲s❡r✐❡s ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✱
t❤❡ ❜✐✲❞✐♠❡♥s✐♦♥❛❧ ✐♥❢♦r♠❛t✐♦♥ ♦❢ ❜♦t❤ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲ ❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s
✇❡r❡ ❡①tr❛❝t❡❞ t♦ ❡①♣r❡ss ❡❛❝❤ ♣✐①❡❧ ✐♥ ❛♥ ✐♥t❡♥s✐t② ❝♦❧♦r s❝❛❧❡ ✭❋✐❣✉r❡ ✽✳✻ t♦ ✽✳✶✼✮✳
❚❤❡ ♠♦st ♣r♦♠✐s✐♥❣ ❜❛♥❞s✱ ✺✽✽✲ ✱ ✼✶✹✲✱ ✼✶✼✲ ❛♥❞ ✼✾✺✲♥♠ ❢r♦♠ t❤❡ s❡❝♦♥❞
❞❡r✐✈❛t✐✈❡ s❡❧❡❝t✐♦♥ ❛r❡ ✐❧❧✉str❛t❡❞ ✐♥❞❡♣❡♥❞❡♥t❧② ✐♥ ❛ ✐♥t❡♥s✐t②✲❘●❇ ♠✐①❡❞ ✐♠❛❣❡
✭❋✐❣✉r❡ ✹✳✶✷ t♦ ✹✳✶✺✮✳ ❋♦r t❤❡s❡ ✐♠❛❣❡s✱ ❛ t❤r❡s❤♦❧❞ ✈❛❧✉❡ ✇❛s ❛r❜✐tr❛r✐❧② ❡st❛❜✲
❧✐s❤❡❞ t♦ s❡♣❛r❛t❡ t❤❡ ❘●❇ ✐♠❛❣❡ ❢r♦♠ t❤❡ ✐♥t❡♥s✐t② ✐♠❛❣❡ ✐♥ ♦r❞❡r t♦ ❛♣♣r❡❝✐❛t❡
t❤❡ ❛❜♥♦r♠❛❧ ❝❤❛♥❣❡s ♦❢ r❡✢❡❝t❛♥❝❡ ❞✉r✐♥❣ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t ✭❘❡❢❡r❡♥❝❡ ❘●❇
✐♠❛❣❡ ✐♥ ❋✐❣✉r❡ ✽✳✺✮✳
❋✐❣✉r❡ ✹✳✶✷ r❡❧❛t❡❞ t♦ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠ t❤❡ ✺✽✽✲♥♠ ❜❛♥❞
s❤♦✇s ❧♦✇ ✈❛❧✉❡s ❛t ✼ ❞❛✐✱ ✇❤✐❝❤ ✇❡r❡ ❧♦❝❛t❡❞ ✐♥ t❤❡ ❝❡♥t❡r ♦❢ ❜❡❡t✲❝r♦✇♥ ❛♥❞ ❛t
t❤❡ ❜❛s❡ ♦❢ ♦❧❞ ❧❡❛✈❡s ♣❡t✐♦❧❡s✳ ■♥ ❧❛t❡r ♠❡❛s✉r❡♠❡♥ts✱ t❤❡ ❧♦✇ s✐❣♥❛❧ tr❛♥s❢❡rr❡❞
❢r♦♠ t❤❡ ❝❡♥t❡r ♦❢ t❤❡ ❝r♦✇♥ t♦ t❤❡ ❜❛s❡ ♦❢ t❤❡ ♣❡t✐♦❧❡s ✉♥t✐❧ ♣❧❛♥t ❞❡❛t❤✳
■♥ ❝❛s❡ ♦❢ t❤❡ ♠✐①❡❞ ✐♠❛❣❡s r❡❧❛t❡❞ t♦ ✼✶✹ ❛♥❞ ✼✶✼ ♥♠ ❜❛♥❞ ✭❋✐❣✉r❡ ✹✳✶✸ ❛♥❞
✹✳✶✹✮✱ t❤❡r❡ ✇❡r❡ ❧♦✇ ✈❛❧✉❡s ♦❢ ❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ❧♦❝❛t❡❞ ✐♥ ♣❡t✐♦❧❡s ♦❢ ✈✐❣♦r♦✉s
❧❡❛✈❡s ❛♥❞ ✐♥ t❤❡ ❝♦♠♣❧❡t❡ str✉❝t✉r❡ ♦❢ ♦❧❞ ❧❡❛✈❡s ❛t ✼ ❞❛✐✳ ❚❤❡s❡ ✈❛❧✉❡s r❡♠❛✐♥❡❞
✉♥❝❤❛♥❣❡❞ ✉♥t✐❧ ♣❧❛♥t ❞❡❛t❤✳
❋✐♥❛❧❧②✱ t❤❡ ❋✐❣✉r❡ ✹✳✶✺ r❡❧❛t❡❞ t♦ ✼✾✺ ♥♠ s❤♦✇s t❤❛t t❤❡ ♠♦st ✈✐❣♦r♦✉s ❧❡❛✈❡s
♣r❡s❡♥t❡❞ ❧♦✇ ✈❛❧✉❡s ♦❢ ❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡✱ ✇❤✐❝❤ ❢r♦♠ ✶✵ ❞❛✐ ❛♥❞ t❤r♦✉❣❤♦✉t
❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t ✐♥❝r❡❛s❡❞ ✇❤❡♥ ♣❧❛♥t ❧❡❛✈❡s ❢❛❧❧✳
✸✷
✸✸
12 dai
3 dai
RGB
14 dai
5 dai
17 dai
7 dai
′′
❋✐❣✉r❡ ✹✳✶✷✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t ❞❛t❡s✳ ❖❝❝✉rr✐♥❣ ✈❛❧✉❡s ♦❢ R588
❢r♦♠ t❤❡ ♠✐♥✐♠❛❧
3
3
3
✭−0.13 × 10 ✮ t♦ t❤❡ ♠❛①✐♠❛❧ ✭0.05 × 10 ✮❀ ✐❢ t❤❡ ✐♥t❡♥s✐t② ✈❛❧✉❡s ✇❡r❡ ❤✐❣❤❡r t❤❛♥ −0.075 × 10 ✭❡st❛❜❧✐s❤❡❞ t❤r❡s❤♦❧❞ ✈❛❧✉❡✮✱
t❤❡ ✐♠❛❣❡ ♣✐①❡❧s ✇❡r❡ r❡♣r❡s❡♥t❡❞ ✐♥ ❘●❇✱ ❢♦r ❧♦✇❡r ✈❛❧✉❡s ✐♥ ❛ ❝♦❧♦r ❝♦❞❡✳
10 dai
1 dbi
Low inoculated sample
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✸✹
12 dai
3 dai
RGB
14 dai
5 dai
17 dai
7 dai
′′
❋✐❣✉r❡ ✹✳✶✸✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t ❞❛t❡s✳ ❖❝❝✉rr✐♥❣ ✈❛❧✉❡s ♦❢ R714
❢r♦♠ t❤❡ ♠✐♥✐♠❛❧
3
3
3
✭−0.46 × 10 ✮ t♦ t❤❡ ♠❛①✐♠❛❧ ✭0.68 × 10 ✮❀ ✐❢ t❤❡ ✐♥t❡♥s✐t② ✈❛❧✉❡s ✇❡r❡ ❤✐❣❤❡r t❤❛♥ −0.18 × 10 ✭❡st❛❜❧✐s❤❡❞ t❤r❡s❤♦❧❞ ✈❛❧✉❡✮✱
t❤❡ ✐♠❛❣❡ ♣✐①❡❧s ✇❡r❡ r❡♣r❡s❡♥t❡❞ ✐♥ ❘●❇✱ ❢♦r ❧♦✇❡r ✈❛❧✉❡s ✐♥ ❛ ❝♦❧♦r ❝♦❞❡✳
10 dai
1 dbi
Low inoculated sample
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✸✺
12 dai
3 dai
RGB
14 dai
5 dai
17 dai
7 dai
′′
❋✐❣✉r❡ ✹✳✶✹✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t ❞❛t❡s✳ ❖❝❝✉rr✐♥❣ ✈❛❧✉❡s ♦❢ R717
❢r♦♠ t❤❡ ♠✐♥✐♠❛❧
3
3
3
✭−0.69 × 10 ✮ t♦ t❤❡ ♠❛①✐♠❛❧ ✭0.43 × 10 ✮❀ ✐❢ t❤❡ ✐♥t❡♥s✐t② ✈❛❧✉❡s ✇❡r❡ ❤✐❣❤❡r t❤❛♥ −0.25 × 10 ✭❡st❛❜❧✐s❤❡❞ t❤r❡s❤♦❧❞ ✈❛❧✉❡✮✱
t❤❡ ✐♠❛❣❡ ♣✐①❡❧s ✇❡r❡ r❡♣r❡s❡♥t❡❞ ✐♥ ❘●❇✱ ❢♦r ❧♦✇❡r ✈❛❧✉❡s ✐♥ ❛ ❝♦❧♦r ❝♦❞❡✳
10 dai
1 dbi
Low inoculated sample
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✸✻
12 dai
3 dai
RGB
14 dai
5 dai
17 dai
7 dai
′′
❋✐❣✉r❡ ✹✳✶✺✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t ❞❛t❡s✳ ❖❝❝✉rr✐♥❣ ✈❛❧✉❡s ♦❢ R795
❢r♦♠ t❤❡ ♠✐♥✐♠❛❧
3
3
3
✭−0.17 × 10 ✮ t♦ t❤❡ ♠❛①✐♠❛❧ ✭0.41 × 10 ✮❀ ✐❢ t❤❡ ✐♥t❡♥s✐t② ✈❛❧✉❡s ✇❡r❡ ❤✐❣❤❡r t❤❛♥ 0 × 10 ✭❡st❛❜❧✐s❤❡❞ t❤r❡s❤♦❧❞ ✈❛❧✉❡✮✱ t❤❡
✐♠❛❣❡ ♣✐①❡❧s ✇❡r❡ r❡♣r❡s❡♥t❡❞ ✐♥ ❘●❇✱ ❢♦r ❧♦✇❡r ✈❛❧✉❡s ✐♥ ❛ ❝♦❧♦r ❝♦❞❡✳
10 dai
1 dbi
Low inoculated sample
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✶✳✺ ▼♦❞❡❧s ❢♦r ❘❤✐③♦❝t♦♥✐❛ ❞❡t❡❝t✐♦♥ ❢r♦♠ ❧❡❛✈❡s
r❡❢r❛❝t✐✈❡ ♣r♦♣❡rt✐❡s
❚❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ ❧✐♥❡❛r ❛♥❞ r❛❞✐❛❧ ♠♦❞❡❧s ♦❜t❛✐♥❡❞ ❜② ❛♥❛❧②③✐♥❣ t❤❡ r❡✢❡❝t❛♥❝❡✱
✜rst✲ ❛♥❞ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ ❞❛t❛ ❡①♣♦s❡❞ t❤❛t ❧✐♥❡❛r✲❦❡r♥❡❧✲♠♦❞❡❧s ✐♥❝r❡❛s❡ ❣r❛❞✲
✉❛❧❧② t❤❡✐r ❛❝❝✉r❛❝② ✐♥ t✐♠❡✱ ✇❤✐❧❡ r❛❞✐❛❧ ♠♦❞❡❧s ♣r❡s❡♥t t❤❡ ❜❡st ❛❝❝✉r❛❝② ♦♥❧②
✐♥ t❤❡ ❧❛st t✇♦ ♠❡❛s✉r❡♠❡♥ts ✭❋✐❣✉r❡ ✽✳✶✽ t♦ ✽✳✷✺✮✳
❈♦♥s✐❞❡r✐♥❣ t❤❡ ✉♣✇❛r❞ tr❡♥❞ ♦❢ ❛❝❝✉r❛❝② ❛♥❞ t❤❡ ❣r❛❞✉❛❧ ❛ttr✐❜✉t✐♦♥ ♦❢ ❧♦✇✲
❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✱ t❤❡ ♠♦st ❛❞❡q✉❛t❡ ❜❡❤❛✈✐♦r ❢♦r t❤❡ ❞❡t❡❝t✐♦♥ ♦❢ ❞✐s✲
❡❛s❡❞ ♣❧❛♥ts ✐s s❤♦✇♥ ❜② t❤❡ ❧✐♥❡❛r ♠♦❞❡❧ ♦❢ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ❞❛t❛✳ ◆❡✈❡rt❤❡✲
❧❡ss✱ t❤❡ ♠♦❞❡❧ ♣r❡s❡♥t❡❞ s♦♠❡ ❡rr♦r ✐♥ t❤❡ ❝❧❛ss✐✜❝❛t✐♦♥ ❛t t❤❡ ✜rst ♠❡❛s✉r❡♠❡♥t
❞❛t❡✳ ❆t ✶ ❞❜✐✱ ✶✷✪ ♦❢ t❤❡ ❛❝❝✉r❛❝② ✇❛s ❡①♣❧❛✐♥❡❞ ❜② ❢♦✉r ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s
❞❡t❡❝t❡❞ ❛s ❞✐s❡❛s❡❞ ❜❡❢♦r❡ t❤❡ ✐♥t❡r❛❝t✐♦♥ ✇✐t❤ t❤❡ ♣❛t❤♦❣❡♥ ✭❋✐❣✉r❡ ✹✳✶✻✮✳
❘❡❞✉❝❡❞✲✈❛r✐❛❜❧❡ ♠♦❞❡❧
❚♦ r❡❞✉❝❡ t❤❡ ♥✉♠❜❡r ♦❢ ✈❛r✐❛❜❧❡s ❛♥❞ t♦ ✐♥❝r❡❛s❡ ❞❡t❡❝t✐♦♥ ❛❝❝✉r❛❝②✱ t✇♦ ❛❞❞✐✲
t✐♦♥❛❧ ♠♦❞❡❧s ✇❡r❡ r✉♥ ✉s✐♥❣ t❤❡ s❡❧❡❝t❡❞ ✈❛r✐❛❜❧❡s ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❞❛t❛✳
❚❤r❡❡ ✈❛r✐❛❜❧❡s ✇❡r❡ ❝♦♥s✐❞❡r❡❞ ✐♥ t❤❡s❡ ♠♦❞❡❧s ❞✉❡ t♦ ❤✐❣❤ ❝♦rr❡❧❛t✐♦♥ ♦❢ t❤❡
✼✶✹✲♥♠ ❛♥❞ ✼✶✼ ♥♠ ❜❛♥❞ ✭❚❛❜❧❡ ✽✳✶✼✮✿ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠
”
”
”
”
”
”
t❤❡ ✺✽✽✲✱ ✼✶✹✲✱ ✼✾✺✲♥♠ ✭R588
✱ R714
✱R795
✮ ❛♥❞ ✺✽✽✲✱ ✼✶✼✲✱ ✼✾✺✲♥♠ ✭R588
✱ R717
✱R795
✮
❜❛♥❞s✳
❚❤❡ ♣❡r❢♦r♠❛♥❝❡ ♦❢ ❜♦t❤ r❡❞✉❝❡❞ ♠♦❞❡❧s ✇❛s ❜❡tt❡r t❤❛♥ t❤❡ ❝♦♠♣❧❡t❡✲✈❛r✐❛❜❧❡
”
”
”
♠♦❞❡❧ ♦❢ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ❞❛t❛ ✭❋✐❣✉r❡ ✽✳✷✹✮✳ ❚❤❡ ♠♦❞❡❧ ✇✐t❤ R588
✱ R714
✱R795
✈❛r✐❛❜❧❡s ♣r❡s❡♥t❡❞ t❤❡ ❜❡st ❛❝❝✉r❛❝② t♦ ❞❡t❡❝t ❘❤✐③♦❝t♦♥✐❛ ✐♥♦❝✉❧❛t❡❞ s✉❣❛r ❜❡❡t
♣❧❛♥ts ✭❋✐❣✉r❡ ✹✳✶✼✮✳ ❆❧♠♦st ❛❧❧ ❝♦♥tr♦❧ s❛♠♣❧❡s ✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❤❡❛❧t❤② ❞✉r✐♥❣
❛❧❧ t✐♠❡✲s❡r✐❡s ❡✈❛❧✉❛t✐♦♥✱ ✇❤✐❧❡ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s st❛rt❡❞ t♦ ❜❡ ❞❡t❡❝t❡❞ ✉♣
t♦ t❤❡ ✜❢t❤ ♠❡❛s✉r❡♠❡♥t ✭✶✵ ❞❛✐✮ ❝♦♥tr✐❜✉t✐♥❣ ✶✹ ✪ ♦❢ t❤❡ ❛❝❝✉r❛❝② ♦r ✼ ❢r♦♠
✶✼ ✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ❞❡t❡❝t❡❞ ❛s ❞✐s❡❛s❡❞✳ ❚❤❡ ❝❧❛ss✐✜❝❛t✐♦♥ ❛❧s♦ ♣r❡s❡♥t ❛ s♠❛❧❧
❡rr♦r✱ ❜❡❝❛✉s❡ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❝♦♥tr✐❜✉t❡❞ ✷✪ ♦❢ t❤❡ ❛❝❝✉r❛❝② ✭✶ ❢r♦♠ ✶✽
✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ❞❡t❡❝t❡❞ ❛s ✉♥❤❡❛❧t❤②✮ ❛t t❤❡ ✜rst ♠❡❛s✉r❡♠❡♥t ❞❛t❡ ✭✶ ❞❜✐✮✳
◆❡✈❡rt❤❡❧❡ss✱ t❤❡ ❡❛r❧✐❡st ❝❧❡❛r ❞❡t❡❝t✐♦♥ st❛rt❡❞ ❛t t❤❡ ❢♦✉rt❤ ♠❡❛s✉r❡♠❡♥t ✭✼
❞❛✐✮ ✇✐t❤ t❤❡ ❝♦♥tr✐❜✉t✐♦♥ ♦❢ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ✇✐t❤ ✶✵ ✪ ♦❢ t❤❡ ❛❝❝✉r❛❝② ✭✺
❢r♦♠ ✶✽ ✐♥♦❝✉❧❛t❡❞✲♣❧❛♥ts ❝❧❛ss✐✜❡❞ ❛s ✉♥❤❡❛❧t❤②✮✳ ❋✐♥❛❧❧②✱ t❤❡ ❛❝❝✉r❛❝② ✈❛❧✉❡ ♦❢
”
t❤❡ R714
✲r❡❞✉❝❡❞ ♠♦❞❡❧ ✐♥❝r❡❛s❡❞ r❛♣✐❞❧② ✇✐t❤ t❤❡ t✐♠❡ ❛❝❤✐❡✈✐♥❣ t♦ ✽✺✪ ❛t t❤❡
s✐①t❤ ♠❡❛s✉r❡♠❡♥t ❞❛t❡ ✭✶✷ ❞❛✐✮✳
”
”
❚❤❡ ❞✐✛❡r❡♥❝❡s ❜❡t✇❡❡♥ t❤❡ R714
✲ ❛♥❞ t❤❡ R717
✲r❡❞✉❝❡❞ ♠♦❞❡❧ ❛r❡ ♠✐♥✐♠❛❧✳
”
❲❤✐❧❡ t❤❡ R717 ✲♠♦❞❡❧ ♣r❡s❡♥t❡❞ ❛ ❜❡tt❡r ❛❝❝✉r❛❝② ❛t ✼ ❞❛✐ ✭✹✪ ❤✐❣❤❡r t❤❛♥ t❤❡
”
R714
✲♠♦❞❡❧✮✱ t❤❡ ❧❛st ♠❡♥t✐♦♥❡❞ ♠♦❞❡❧ s❤♦✇❡❞ ✺✪ ♠♦r❡ ❛❝❝✉r❛❝② ❛t ✶✹ ❞❛✐✳
”
❋✐♥❛❧❧②✱ t♦ ❛♣♣r❡❝✐❛t❡ ❣r❛♣❤✐❝❛❧❧② ✈❛❧✉❡s ♦❢ ❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ❢r♦♠ t❤❡ R714
✲
r❡❞✉❝❡❞ ♠♦❞❡❧✱ ❝♦♥tr♦❧ ❛t ✶ ❞❜✐ ❛♥❞ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞ ❞❛t❛ ❛t ✼ ❛♥❞ ✶✼ ❞❛✐ ✇❡r❡
♣❧♦tt❡❞ ✐♥ ❛ t❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ ❝♦♦r❞✐♥❛t❡ s②st❡♠✳ ■♥ ❛❞❞✐t✐♦♥✱ ❙❱▼ ♠♦❞❡❧ ❝♦✲
❡✣❝✐❡♥ts ❛♥❞ s✉♣♣♦rt ✈❡❝t♦rs ✇❡r❡ ♠✉❧t✐♣❧✐❡❞ t♦ ❞❡t❡r♠✐♥❡ t❤❡ ❤②♣❡r♣❧❛♥❡ t❤❛t
❞✐✈✐❞❡s ❞✐s❡❛s❡❞ ❛♥❞ ❤❡❛❧t❤② ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s✳ ❋✐❣✉r❡ ✹✳✶✽ s❤♦✇s ❤♦✇ t❤❡ ♠♦❞❡❧
♠❛❦❡s ❛ ❞❡❝✐s✐♦♥✳ ❘✐❣❤t✲s✐❞❡ ♣♦s✐t✐♦♥❡❞ s❛♠♣❧❡s ❛r❡ ❝❧❛ss✐✜❡❞ ❛s ❛ ❞✐s❡❛s❡❞ ♣❧❛♥t
❛♥❞ ❧❡❢t✲s✐❞❡ ♦❜s❡r✈❛t✐♦♥s ❛s ❤❡❛❧t❤② ♣❧❛♥ts✳
✸✼
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
SVM−performance of complete variable model
Linear model / All bands
100
30
50
25
30
Percent (%)
26
18
2.
.
29
30
31
34
36
37
37
2.
4
3.
28
30
30
0
29
4.
2
Accuracy distribution
28
75
.
60
Error distribution
34
40
32
34
32
20
20
28
0
.
32
22
.
18
.
2
2
.
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✹✳✶✻✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✶st✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡
❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✸✽
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
SVM−performance of reduced−variable model
Linear model / Band 714
100
29
29
28
50
30
Percent (%)
25
0
31
34
36
37
37
2.
3.
24
Accuracy distribution
75
30
30
30
30
.
2.
4.
34
34
24
.
.
60
Error distribution
34
40
34
20
20
34
34
32
24
0
.
.
.
.
2
.
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✹✳✶✼✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✹✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❢♦r t❤❡ ♣r❡❞✐❝t✐♦♥
♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✸✾
❈❍❆P❚❊❘ ✹✳
●
●
●
❘❊❙❯▲❚❙
●
Sample representation and performance of linear SVM−model −
●
●
●
2.Inoculated
samples
(7 dai)
●
d
●
3.Inoculated
samples (17 dai)
−0.3
−
−0.15
−
−0.20
−
−
−0.25
2.0
1.5
1.0
R'' 714 x 10
0.5
0.0
−0.5
−0.10
−0.4
−
−0.05
−
R'' 795 x 10
0.0
−0.1
−0.2
−
−
0.00
−
R'' 588 x 103
−
3
0.1
0.2
ol
0.3
(1 dbi)
t ● 1.All samples
●
3
❋✐❣✉r❡ ✹✳✶✽✿ ❚❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ ✈❛❧✉❡s✲r❡❧❛t❡❞
t♦ t❤❡ ❜❛♥❞s ✺✽✽✱ ✼✶✹✱ ✼✾✺ ♥♠❀ ❛♥❞ ❧✐♥❡❛r ♣r♦❥❡❝t✐♦♥ ♦❢ ❤②♣❡r♣❧❛♥❡
r❡❧❛t❡❞ t♦ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧✳
✹✵
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷ ❊✛❡❝ts ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ✈✐s✉❛❧ ❛♥❞ s♣❡❝tr❛❧
❝❤❛r❛❝t❡r✐st✐❝s ♦❢ s✉❣❛r❜❡❡t r♦♦ts
✹✳✷✳✶ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s❝♦r✐♥❣ ♦❢ s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r
t✐ss✉❡
❆t t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ ♥♦ ✈✐s✐❜❧❡ ❧❡s✐♦♥s ✇❡r❡ ♦❜s❡r✈❡❞ ✐♥ ❛❧❧ ❝r♦♣♣❡❞ ❝♦♥tr♦❧
s❛♠♣❧❡s✱ s❝♦r✐♥❣ ❛♥ ❛✈❡r❛❣❡ ❞✐s❡❛s❡ ❝❧❛ss ♦❢ ✶ ✭❋✐❣✳ ✹✳✶✾✮✳ ■♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❡r❡
r❛t❡❞ ✇✐t❤ ❛♥ ❛✈❡r❛❣❡ s❝♦r❡ ♦❢ ✼ ✭✺✵ t♦ ✼✺✪ ♦❢ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r✮✱
❛♥❞ ♥♦ ❞✐✛❡r❡♥❝❡ ❜❡t✇❡❡♥ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❛s ♦❜s❡r✈❡❞✳ ❆t
t❤❡ s❡❝♦♥❞ ❤❛r✈❡st✐♥❣ ❞❛t❡✱ ❛♥❞ ✐♥ ❝♦♠♣❛r✐s♦♥ t♦ t❤❡ ✜rst ❡✈❛❧✉❛t✐♦♥✱ ❝♦♥tr♦❧✲
s❛♠♣❧❡s ❞✐❞ ♥♦t ❝❤❛♥❣❡ t❤❡✐r ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s❝♦r❡✳ ◆❡✈❡rt❤❡❧❡ss✱ ❜♦t❤ ❧♦✇✲
❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞✱ ♦♥ ❛✈❡r❛❣❡✱ ❛♥ ✐♥❝r❡❛s❡ ♦❢ ❞✐s❡❛s❡✲r❛t✐♥❣
♦❢ ✽✱ ♣r❡s❡♥t✐♥❣ ❛ ❤✐❣❤❡r r♦♦t r♦t s✉r❢❛❝❡ t❤❛♥ ❛t ✶✷ ❞❛✐✳
RRCR rating of surface tissue
Harvest 1
Harvest 2
9
Rating
7
Treatment
5
1. Control
2. Low Inoculated
3. High Inoculated
3
1
1. Control
2. Low Inoculated
3. High Inoculated
1. Control
2. Low Inoculated
3. High Inoculated
Treatment
❋✐❣✉r❡ ✹✳✶✾✿ ❆✈❡r❛❣❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❛t t✇♦ ❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣
❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✳ ❚❤❡ ❛✈❡r❛❣❡ ✇❛s r♦✉♥❞❡❞ t♦ ❡♥t✐r❡ ✈❛❧✉❡s✳
▼♦r❡ s♣❡❝✐✜❝ r❛t✐♥❣ ✈❛❧✉❡s ❢♦r ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❛r❡ s❤♦✇♥ ✐♥ ❋✐❣✉r❡ ✹✳✷✵✳
❆t t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ ❛♥ ❛✈❡r❛❣❡ ♦❢ ✼✹ ❛♥❞ ✻✼✪ ♦❢ t❤❡ r♦tt❡❞ s✉r❢❛❝❡ ✇❡r❡
♣r❡s❡♥t ✐♥ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✱ r❡s♣❡❝t✐✈❡❧②✳ ❖♥ t❤❡ ❧❛st ❤❛r✈❡st✐♥❣
❞❛t❡✱ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ✽✽ ❛♥❞ ✽✺✪ ♦❢ t❤❡ t♦t❛❧ r♦tt❡❞
s✉r❢❛❝❡ t✐ss✉❡✳ ❋♦r ❜♦t❤ ❡✈❛❧✉❛t✐♦♥ ❞❛t❡s✱ ❛❧❧ ❝♦♥tr♦❧ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ❛ r❛t✐♥❣
♦❢ ✵✪✳
■♥ ❛❞❞✐t✐♦♥ t♦ s❝♦r❡s ♦❢ s✉r❢❛❝❡ t✐ss✉❡✱ t❤❡ ♠❡❛♥ ✈❛❧✉❡s ♦❢ ❞✐s❡❛s❡ s❡✈❡r✐t② ❢♦r
✐♥♥❡r ❜❡❡t t✐ss✉❡ ❛r❡ s❤♦✇♥ ✐♥ ❋✐❣✉r❡ ✹✳✷✶✳ ❆s ❢♦r t❤❡ s✉r❢❛❝❡ r❡s✉❧ts✱ ❝♦♥tr♦❧
s❛♠♣❧❡s ♣r❡s❡♥t❡❞ s❝♦r❡s ♦❢ ✵✪ ✭❤❡❛❧t❤② ✐♥♥❡r t✐ss✉❡✮ ✐♥ ❛❧❧ s❛♠♣❧❡s ❛♥❞ ❛t ❜♦t❤
❡✈❛❧✉❛t✐♦♥ ❞❛t❡s✳ ▲♦✇✲✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts ❡①❤✐❜✐t❡❞ ❛♥ ❛✈❡r❛❣❡ ✈❛❧✉❡ ♦❢ ✸✶ ❛♥❞
✹✹✪ ❢♦r t❤❡ ✜rst ❛♥❞ s❡❝♦♥❞ ❤❛r✈❡st✐♥❣ ❞❛t❡✱ r❡s♣❡❝t✐✈❡❧②✳ ❋✐♥❛❧❧②✱ ❢♦r t❤❡ ❤✐❣❤✲
✐♥♦❝✉❧❛t❡❞ ♣❧❛♥ts✱ t❤❡ ♠❡❛♥ r❛t✐♥❣ ✈❛❧✉❡ ❛❧s♦ ✐♥❝r❡❛s❡❞ ❢r♦♠ ✸✶ t♦ ✹✺✪ ♦❢ r♦tt❡❞
✐♥♥❡r t✐ss✉❡ ❢♦r t❤❡ ♠❡♥t✐♦♥❡❞ ❞❛t❡s✳
✹✶
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
RRCR rating of surface tissue
Harvest 1
Harvest 2
100
Rating (%)
75
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
50
25
0
1. Control
2. Low Inoculated
3. High Inoculated
1. Control
2. Low Inoculated
3. High Inoculated
Treatment
❋✐❣✉r❡ ✹✳✷✵✿ ❆✈❡r❛❣❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❛t t✇♦ ❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣
❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✱ ❡①♣r❡ss❡❞ ✐♥ ❛ ♣❡r❝❡♥t s❝❛❧❡✳
RRCR rating of inner tissue
Harvest 1
Harvest 2
40
Rating (%)
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
20
0
1. Control
2. Low Inoculated
3. High Inoculated
1. Control
2. Low Inoculated
3. High Inoculated
Treatment
❋✐❣✉r❡ ✹✳✷✶✿ ❆✈❡r❛❣❡ ♦❢ ✈✐s✉❛❧ r❛t✐♥❣ ❢♦r ❞❛♠❛❣❡❞ ✐♥♥❡r t✐ss✉❡ ❝❛✉s❡❞ ❜② ❘❤✐✲
③♦❝t♦♥✐❛ r♦♦t r♦t ❛t t✇♦ ❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣ ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✱
❡①♣r❡ss❡❞ ✐♥ ❛ ♣❡r❝❡♥t s❝❛❧❡✳
✹✷
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷✳✷ ❖♣❡r❛t✐♦♥ ❛❞❥✉st♠❡♥t ❛♥❞ ♠❡t❤♦❞ ❢♦r ❜❡❡ts
❡✈❛❧✉❛t✐♦♥
■♥❞❡① ❢♦r s❡❣♠❡♥t❛t✐♦♥ ♦❢ ❜❡❡t
❚❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ❢r♦♠ ♣✐①❡❧s ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s s❤♦✇s t❤❛t
t❤❡ t❤✐r❞✲ ❛♥❞ ❢♦✉rt❤✲❝♦♠♣♦♥❡♥t ❝❛♥ ❣r❛♣❤✐❝❛❧❧② ❞✐✛❡r❡♥t✐❛t❡ ❜❛❝❦❣r♦✉♥❞ ❛♥❞
❜❡❡t ♣✐①❡❧s ✐♥ ❛ ❝♦♦r❞✐♥❛t❡ s②st❡♠✳ ■♥ ❢❛❝t✱ t❤❡ r❡♣r❡s❡♥t❛t✐♦♥ ♣r♦✈✐❞❡s ✐♥❢♦r♠❛✲
t✐♦♥ ❛❜♦✉t t❤❡ ♣♦t❡♥t✐❛❧ ♦❢ t❤❡ t❤✐r❞ ❝♦♠♣♦♥❡♥t t♦ s❡❣♠❡♥t t❤❡ r❡❣✐♦♥ ♦❢ ✐♥t❡r❡st
✭❋✐❣✳ ✹✳✷✷✮✳ ❚❤❡ t❤✐r❞ ❝♦♠♣♦♥❡♥t ✇❛s ❝♦rr❡❧❛t❡❞ ✇✐t❤ ❡❛❝❤ ❜❛♥❞✱ ✇✐t❤ ❝♦❡✣✲
❝✐❡♥ts r❛♥❣✐♥❣ ❢r♦♠ ✵✳✶✶ t♦ ✲✵✳✶✵ ✭❚❛❜❧❡ ✽✳✻✮✳ ❇❛♥❞s ✇✐t❤ t❤❡ ❤✐❣❤❡st ❛♥❞ ❧♦✇❡st
❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✇❡r❡ ❛t ✹✺✶ ♥♠ ❛♥❞ ✼✾✺ ♥♠✱ r❡s♣❡❝t✐✈❡❧②✳
❲✐t❤ t❤❡ ✐❞❡♥t✐✜❡❞ ❜❛♥❞s ❛♥❞ ✇✐t❤ t❤❡ str✉❝t✉r❡ ♦❢ ❢♦r♠✉❧❛ ✸✳✷✱ t❤❡ ❢♦❧❧♦✇✐♥❣
✐♥❞❡① ✇❛s ✉s❡❞ t♦ ❞✐✛❡r❡♥t✐❛t❡ t❤❡ ❜❡❡t ❢r♦♠ t❤❡ ❜❛❝❦❣r♦✉♥❞✿
Bsi =
R451 − R795
R451 + R795
✭✹✳✶✮
❲❤❡r❡✿
Bsi✿ ❇❡❡t s❡❣♠❡♥t❛t✐♦♥ ✐♥❞❡①
R451 ✿ ▼♦st ♣♦s✐t✐✈❡ ❝♦rr❡❧❛t❡❞ r❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✭❛t ✹✺✶ ♥♠✮
R795 ✿ ▼♦st ♥❡❣❛t✐✈❡ ❝♦rr❡❧❛t❡❞ r❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✭❛t ✼✾✺ ♥♠✮
❇② ✐♠♣❧❡♠❡♥t✐♥❣ t❤❡ ✐♥❞❡① ❢♦r♠✉❧❛ ❢♦r ❤②♣❡rs♣❡❝tr❛❧ ❜❡❡t ✐♠❛❣❡s✱ ❛ t❤r❡s❤✲
♦❧❞✐♥❣ ✈❛❧✉❡ ♦❢ ✲✵✳✷ ✇❛s ❞❡t❡r♠✐♥❡❞ ✈✐s✉❛❧❧②✱ ✇❤❡r❡ ✐♥❞❡① ✈❛❧✉❡s ❜❡❧♦✇ t❤✐s ❧✐♠✐t
✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❜❡❡t t♦ ❝r❡❛t❡ t❤❡ ❜✐♥❛r② ♠❛s❦ ✭❋✐❣✳ ✽✳✷✻✮✳
Beet− and background−pixels in PC−coordinate system
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PC4 (0.1% explained var.)
●
2
●
●
●
●
0
●
●
●
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−2
●
−5.0
−2.5
0.0
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2.5
PC3 (0.4% explained var.)
Pixel
●
Background
●
Beet
●
Group
❋✐❣✉r❡ ✹✳✷✷✿ ❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♣✐①❡❧s ✐♥ ❛ t❤r❡❡✲ ❛♥❞ ❢♦✉rt❤✲♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲
❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s ❞✐st❛♥❝❡✳ ◆✉♠❜❡r ♦❢
♣❧♦tt❡❞ ♣♦✐♥ts = ✷✻✵✵✳
✹✸
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷✳✸ ■♠❛❣❡ ♣r♦❝❡ss✐♥❣ ♠❡t❤♦❞ ❢♦r r♦♦ts ❡✈❛❧✉❛t✐♦♥
❚❤❡ ❇s✐ ❝♦♥tr✐❜✉t❡❞ s✐❣♥✐✜❝❛♥t❧② t♦ t❤❡ ♠❡t❤♦❞ ♣r♦♣♦s❡❞ t♦ ♣r♦❝❡ss ❜❡❡t ❤②♣❡r✲
s♣❡❝tr❛❧ ✐♠❛❣❡s✳ ❚❤✐s ♣r♦❝❡ss ✐s s❝❤❡♠❛t✐❝❛❧❧② ❡①♣♦s❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✷✸ ❛♥❞ st❛rts
✇✐t❤ t❤❡ ❛❝q✉✐s✐t✐♦♥ ♦❢ ❛ r❛✇ ✐♠❛❣❡✳ ❙✉❜s❡q✉❡♥t❧②✱ t❤❡ ❤②♣❡rs♣❡❝tr❛❧ ❝✉❜❡ ✇❛s
♥♦r♠❛❧✐③❡❞ ❛♥❞ s♠♦♦t❤❡❞✱ ❛ st❛❣❡ ❝❛❧❧❡❞ ✧s♣❡❝tr❛❧ ♣r❡✲♣r♦❝❡ss✐♥❣✧✳ ■♥ t❤❡ ♥❡①t
st❛❣❡✱ ✧❞❛t❛ ♣r♦❝❡ss✐♥❣✧✱ ❛ ❇s✐✲♠❛tr✐① ✇❛s ❝❛❧❝✉❧❛t❡❞✱ ❢♦❧❧♦✇❡❞ ❜② ❛ ❜✐♥❛r② ♠❛s❦
❜② ❛♣♣❧②✐♥❣ t❤❡ t❤r❡s❤♦❧❞✐♥❣ ✈❛❧✉❡ ♦❢ ✲✵✳✷ ❇s✐ ✉♥✐ts✳ ❚♦ ❛✈♦✐❞ t❤❡ ✐♥✢✉❡♥❝❡ ♦❢ ♣✐❣✲
♠❡♥ts✱ t❤❡ ❝r♦✇♥ ✇❛s ♠❛♥✉❛❧❧② ❝✉t ❛♥❞ ❛ ♥❡✇ ✧✜♥❛❧ ♠❛s❦✧ ✇❛s ❝r❡❛t❡❞✳ ❋✐♥❛❧❧②✱
❜② ✉s✐♥❣ t❤❡ ❧❛st ♠❛s❦✱ s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ✇❛s ❡①tr❛❝t❡❞ ❢♦r ❢✉rt❤❡r ❛♥❛❧②s✐s ♦❢
t❤❡ ❜❡❡t✳
Operation
Data flow
Reference
Raw
Raw image
White reference
normalization
Spectral preprocessing
Normalized
Normalized
image
Savitzky–Golay
Smoothing
Smoothed
Smoothed
spectral image
Segmentation by
"Bsi"
Data processing
Bsi
"Bsi"
Mask
Crown-cutting
F. Mask
Final
Mask
Spectral
extraction
ROI
Information
of ROI
❋✐❣✉r❡ ✹✳✷✸✿ ■♠❛❣✐♥❣✲♠❡t❤♦❞ t♦ s❡❣♠❡♥t ❛♥❞ ❡①tr❛❝t r❡❧❡✈❛♥t ✐♥❢♦r♠❛t✐♦♥ ❢r♦♠
❜❡❡t✲❤②♣❡rs♣❡❝tr❛❧ ❞❛t❛ ❝✉❜❡ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ✐♥❢❡❝t❡❞ ♣❧❛♥ts✳
✹✹
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷✳✹ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ r♦♦ts r❡✢❡❝t❛♥❝❡
❊✛❡❝t ♦♥ s✉r❢❛❝❡ t✐ss✉❡
❚❤❡ ❛✈❡r❛❣❡ ❜❡❡t r❡✢❡❝t❛♥❝❡ ❢r♦♠ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ♦❢ ❛ ❤❡❛❧t❤② ❜❡❡t ✐♥❝r❡❛s❡❞
st❡❛❞✐❧② ❢r♦♠ ✹✺✵ t♦ ✾✺✵ ♥♠✱ ✇✐t❤ t❤❡ ❤✐❣❤❡st r❡✢❡❝t❛♥❝❡ ❜❡t✇❡❡♥ ✽✼✵ ❛♥❞ ✾✸✵
♥♠✳ ▼♦r❡♦✈❡r✱ t❤❡ ❝✉r✈❡ ✐s s❧✐❣❤t❧② ❝♦♥❝❛✈❡ ✉♣ ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✻✹✵ ✲ ✼✷✵ ♥♠✳
❋✐❣✉r❡ ✹✳✷✹ ✐❧❧✉str❛t❡s t❤❡ ♣r♦♣❡rt✐❡s ♦❢ ❜❡❡t r❡✢❡❝t❛♥❝❡ ❢r♦♠ t❤❡ t❤r❡❡ ❡✈❛❧✉❛t❡❞
tr❡❛t♠❡♥ts ❛t ✶✷ ❛♥❞ ✶✼ ❞❛✐✳ ❖♥ t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ t❤❡ ❧♦✇ ✐♥♦❝✉❧❛t❡❞
❜❡❡ts ♣r❡s❡♥t❡❞ ❛ ❝✉r✈❡ ✇✐t❤ t❤❡ ❧♦✇❡st r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s✳ ❚❤✐s ❝✉r✈❡ ♣r❡s❡♥t❡❞
❛ s✐♥❣❧❡ ✉♣✇❛r❞❧② ❝♦♥❝❛✈❡ ❛♥❞ t❤❡ ❤✐❣❤❡st ✈❛❧✉❡s ♠♦✈❡ ❛♥❞ ❧♦❝❛❧❡ ❜❡t✇❡❡♥ ✾✹✵
❛♥❞ ✾✺✵ ♥♠✳ ❆t t❤❡ s❛♠❡ ❞❛t❡✱ t❤❡ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞ r❡✢❡❝t❛♥❝❡ ❝✉r✈❡ s❤♦✇❡❞
t❤❡ s❛♠❡ ❜❡❤❛✈✐♦r ❛s ❧♦✇ ✐♥♦❝✉❧❛t❡❞✱ ✇✐t❤ ✐ts ✈❛❧✉❡s ♠♦❞❡r❛t❡❧② ❤✐❣❤❡r✳ ❖♥ t❤❡
s❡❝♦♥❞ ❤❛r✈❡st✐♥❣ ❞❛t❡✱ t❤❡ r❡✢❡❝t❛♥❝❡ ❝✉r✈❡ ♦❢ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❛s t❤❡
s❛♠❡ ❛s t❤❡ ❝✉r✈❡ ♦❢ ❧♦✇ ✐♥♦❝✉❧❛t❡❞✱ ❡①❤✐❜✐t✐♥❣ ♥♦ s♣❡❝tr❛❧ ❞✐✛❡r❡♥❝❡s ❜❡t✇❡❡♥
❜♦t❤ tr❡❛t♠❡♥ts✳
Beet−reflectance of surface tissue
0.6
Harvest 1
0.4
Reflectance
0.2
0.6
Harvest 2
0.4
0.2
500
600
700
800
900
Wavelength [nm]
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✹✳✷✹✿ ❆✈❡r❛❣❡ ♦❢ ❱■❙◆■❘✲r❡✢❡❝t❛♥❝❡ ❢r♦♠ s✉r❢❛❝❡ ❜❡❡t t✐ss✉❡ ❛t t✇♦ ❤❛r✲
✈❡st✐♥❣ ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✱ ❢r♦♠ t❤r❡❡ ❘❤✐③♦❝t♦♥✐❛✲tr❡❛t♠❡♥ts✿ ✶✮
❝♦♥tr♦❧✱ ✷✮❧♦✇ ✐♥♦❝✉❧❛t❡❞✱ ✸✮ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✳
✹✺
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
❊✛❡❝t ♦♥ ✐♥♥❡r t✐ss✉❡
❚❤❡ ♠❡❛♥ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ✐♥♥❡r ❜❡❡t t✐ss✉❡ ♦❢ ❤❡❛❧t❤② ♣❧❛♥ts ✐s ✐❧❧✉str❛t❡❞ ✐♥
❋✐❣✉r❡ ✹✳✷✺✳ ❆s ✐♥ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ t❤❡ ♠❡❛♥ ✐♥❝r❡❛s❡❞ st❡❛❞✐❧② ❢r♦♠ ✹✺✵ t♦ ✾✺✵
♥♠✱ s❝♦r✐♥❣ t❤❡ ❤✐❣❤❡st r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ❜❡t✇❡❡♥ ✽✵✵ ❛♥❞ ✾✵✵ ♥♠✳ ❚❤✐s ❝✉r✈❡
✇❛s ❛❧s♦ s❧✐❣❤t❧② ✉♣✇❛r❞❧② ❝♦♥❝❛✈❡ ✐♥ t✇♦ r❡❣✐♦♥s ✻✺✵✲✼✵✵♥♠ ❛♥❞ ✼✺✵✲✽✵✵ ♥♠✳
❆t t❤❡ ✜rst ❤❛r✈❡st✱ t❤❡ ❤❛❧❢✲❣r❛✐♥ ✐♥♦❝✉❧❛t❡❞ ❜❡❡ts ♣r❡s❡♥t❡❞ t❤❡ ❧♦✇❡st ✈❛❧✉❡s
♦❢ r❡✢❡❝t❛♥❝❡ ❛♥❞ ❧♦st t❤❡ ❝♦♥❝❛✈✐t② ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✼✺✵✲✽✵✵ ♥♠✳ ❖♥ t❤❡ s❛♠❡
❞❛t❡✱ t❤❡ r❡✢❡❝t❛♥❝❡ ❝✉r✈❡ ♦❢ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ t❤❡ s❛♠❡ s❤❛♣❡
❛s ❧♦✇✲✐♥♦❝✉❧❛t❡❞✱ ❜✉t s❧✐❣❤t❧② ❤✐❣❤❡r r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s✳
❆t t❤❡ s❡❝♦♥❞ ❤❛r✈❡st✱ ❛♥❞ ✐♥ ❝♦♥tr❛st t♦ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞
s❛♠♣❧❡s ♣r❡s❡♥t❡❞ t❤❡ ❧♦✇❡st r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❛❧❧ tr❡❛t♠❡♥ts✳ ❇❡❡t r❡✢❡❝t❛♥❝❡
s✐❣♥❛t✉r❡ ♦❢ ❝♦♥tr♦❧ s❛♠♣❧❡s ❤❛❞ t❤❡ s❛♠❡ ❝❤❛r❛❝t❡r✐st✐❝s✳
Beet−reflectance of inner tissue
0.8
0.6
Harvest 1
Reflectance
0.4
0.2
0.7
0.6
0.5
Harvest 2
0.4
0.3
0.2
500
600
700
800
900
Wavelength [nm]
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✹✳✷✺✿ ❆✈❡r❛❣❡ ♦❢ ❱■❙◆■❘✲r❡✢❡❝t❛♥❝❡ ❢r♦♠ ✐♥♥❡r ❜❡❡t t✐ss✉❡ ❛t t✇♦ ❤❛r✲
✈❡st✐♥❣ ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✱ ❢r♦♠ t❤r❡❡ ❘❤✐③♦❝t♦♥✐❛✲tr❡❛t♠❡♥ts✿ ✶✮
❝♦♥tr♦❧✱ ✷✮❧♦✇ ✐♥♦❝✉❧❛t❡❞✱ ✸✮ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✳
✹✻
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷✳✺ ❘❡❧❡✈❛♥t ❜❛♥❞s ❛♥❞ ✐♥❞❡①❡s ❢♦r ❤❡❛❧t❤ st❛t❡ ♦❢ ❜❡❡t
t✐ss✉❡
■♥❞❡① ❢♦r s✉r❢❛❝❡ t✐ss✉❡
❋♦r t❤✐s ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ♦❢ ❞❛♠❛❣❡❞ ❛♥❞ ❤❡❛❧t❤② s✉r❢❛❝❡ t✐ss✉❡✱
♣✐①❡❧s ❢r♦♠ ♦♥❡ ❝♦♥tr♦❧ ❜❡❡t ✐♠❛❣❡ ❛♥❞ ♣✐①❡❧s ❢r♦♠ ❞❛♠❛❣❡❞ ❛r❡❛s ♦❢ t✇♦ ✐♠❛❣❡s
❜❡❧♦♥❣✐♥❣ t♦ ❞✐s❡❛s❡❞ s❛♠♣❧❡s ✇❡r❡ ✉s❡❞ ✭❋✐❣✳ ✽✳✷✼✮✳ ❚❤❡ P❈✶✲P❈✷ ❝♦♦r❞✐♥❛t❡
s②st❡♠ s❤♦✇❡❞ t❤❛t P❈✶ ❞✐st✐♥❣✉✐s❤❡❞ t❤❡ ♠♦st ❤❡❛❧t❤② ❛♥❞ ❞❛♠❛❣❡❞ t✐ss✉❡
✭❋✐❣✳ ✽✳✷✽✮✳ ❚❤❡ ❝♦rr❡❧❛t✐♦♥ ♦❢ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❣❛✈❡
t❤❡ ♠❛①✐♠✉♠ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡ ♦❢ ✶ ❢♦r t❤❡ ❜❛♥❞ ♦❢ ✼✶✶ ♥♠ ❛♥❞ t❤❡
♠✐♥✐♠✉♠ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡ ♦❢ ✵✳✾✼ ❢♦r t❤❡ ❜❛♥❞ ♦❢ ✹✺✶ ♥♠✳ ❇♦t❤ ❝♦❡✣❝✐❡♥ts ✇❡r❡
♣♦s✐t✐✈❡ ✭❚❛❜❧❡ ✽✳✶✽✮✳
❙✐♥❝❡ t❤❡ ❝♦rr❡❧❛t✐♦♥ ✈❛❧✉❡s ❝♦✉❧❞ ♥♦t ❜❡ ✉s❡❞ ❢♦r ❡q✉❛t✐♦♥ ✸✳✷✱ ❡q✉❛t✐♦♥ ✸✳✸
✇❛s ❛♣♣❧✐❡❞ t♦ ❢♦r♠✉❧❛t❡ t❤❡ ❜❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡① ❢♦r s✉r❢❛❝❡✿
Btsis =
R711 − R451
R711 + R451
✭✹✳✷✮
❲❤❡r❡✿
Bsi✿ ❇❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡①
s✿ ❘❡❧❛t❡❞ t♦ s✉r❢❛❝❡ t✐ss✉❡
R711 ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠❛①✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
R451 ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠✐♥✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
■♥❞❡① ❢♦r ✐♥♥❡r t✐ss✉❡
■♥ ❝❛s❡ ♦❢ t❤❡ ✐♥♥❡r t✐ss✉❡✱ t❤❡ ♣r✐♥❝✐♣❛❧ ❝♦♠♣♦♥❡♥t ❛♥❛❧②s✐s ✉s❡❞ ♣✐①❡❧s ❢r♦♠
♦♥❡ ❤❡❛❧t❤② ❜❡❡t ✐♠❛❣❡✳ ❍♦✇❡✈❡r✱ ❞✉❡ t♦ t❤❡ ❧♦✇ ♥✉♠❜❡r ♦❢ ♣✐①❡❧s✱ t❤r❡❡ ✐♠❛❣❡s
♦❢ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❡r❡ ✉s❡❞ ✭❋✐❣✳ ✽✳✷✾✮✳ ❚❤❡ P❈✶✲P❈✷ ❝♦♦r❞✐♥❛t❡ s②st❡♠
r❡✈❡❛❧❡❞ t❤❛t t❤❡ P❈✶ s❡♣❛r❛t❡❞ ♥♦♥✲✐♥♦❝✉❧❛t❡❞ ❢r♦♠ ✐♥♦❝✉❧❛t❡❞ ♦❜s❡r✈❛t✐♦♥s
✭❋✐❣✳ ✽✳✸✵✮✳ ❚❤❡ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❜❛♥❞s ❛♥❞ P❈✶ s❤♦✇❡❞ t❤❡
♠❛①✐♠❛❧ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡ ♦❢ ✶ ❢♦r t❤❡ ❜❛♥❞ ♦❢ ✼✶✶ ♥♠ ❛♥❞ t❤❡ ♠✐♥✐♠✉♠ ❝♦❡✣❝✐❡♥t
✈❛❧✉❡ ♦❢ ✵✳✾✺ ❢♦r t❤❡ ❜❛♥❞ ♦❢ ✾✺✵ ♥♠✳ ❇♦t❤ ❝♦❡✣❝✐❡♥ts ✇❡r❡ ♣♦s✐t✐✈❡ ✭❚❛❜❧❡ ✽✳✶✾✮✳
❙✐♠✐❧❛r t♦ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ t❤❡ ❝♦rr❡❧❛t✐♦♥ ✈❛❧✉❡s ❞✐❞ ♥♦t ❢♦❧❧♦✇ t❤❡ str✉❝t✉r❡
♦❢ ❡q✉❛t✐♦♥ ✸✳✷✱ ✇❤✐❝❤ ✇❛s ✇❤② ❡q✉❛t✐♦♥ ✸✳✸ ✇❛s ✉s❡❞ t♦ ❢♦r♠✉❧❛t❡ t❤❡ ❜❡❡t st❛t❡
✐♥❞❡① ❢♦r ✐♥♥❡r t✐ss✉❡✿
Btsii =
R711 − R950
R711 + R950
❲❤❡r❡✿
Bsi✿ ❇❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡①
i✿ ❘❡❧❛t❡❞ t♦ ✐♥♥❡r t✐ss✉❡
R711 ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠❛①✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
R950 ✿ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞ ✇✐t❤ t❤❡ ♠✐♥✐♠❛❧ ❝♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥t ✈❛❧✉❡
✹✼
✭✹✳✸✮
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
✹✳✷✳✻ ❍②♣❡rs♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s❝♦r✐♥❣ ❢♦r
s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡
■♥ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ❡✈❛❧✉❛t✐♦♥✱ t❤❡ ♠❡❛♥ ✈❛❧✉❡ ♦❢ ❇ts✐ ❢r♦♠ ✧❤❡❛❧t❤②✧ ❧❛❜❡❧❡❞
♣✐①❡❧s ✇❛s ✵✳✹✸ ✇✐t❤ ❛ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ♦❢ ✵✳✵✼✳ ■♥ ❝❛s❡ ♦❢ ✧❞❛♠❛❣❡❞✧ ❧❛❜❡❧❡❞
♣✐①❡❧s✱ t❤❡ ❝❛❧❝✉❧❛t❡❞ ♠❡❛♥ ✇❛s ✵✳✶✽ ✇✐t❤ ❛ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ♦❢ ✵✳✶✵✳ ❙✉♣♣♦rt❡❞
❜② t❤❡s❡ ❢♦✉r ✈❛❧✉❡s✱ t❤❡ ❧✐♠✐t ♣♦✐♥t ❢♦r ❤❡❛❧t❤ ❝❧❛ss✐✜❝❛t✐♦♥ ✇❛s ❝❛❧❝✉❧❛t❡❞ ✭✵✳✸✶
❇ts✐ ✉♥✐ts✮✳ P✐①❡❧s ✇✐t❤ ✈❛❧✉❡s ❤✐❣❤❡r t❤❛♥ t❤❡ ❧✐♠✐t ✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❤❡❛❧t❤②
♣✐①❡❧s✱ ✇❤✐❧❡ ✐♥❞❡① ✈❛❧✉❡s ♦❢ ✵✳✸✶ ♦r ❧♦✇❡r ✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❞❛♠❛❣❡❞ ♣✐①❡❧s ✭❋✐❣✉r❡
✽✳✸✶✮✳
❚❤❡ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘ r❛t✐♥❣ ✇❛s ❝❛❧❝✉❧❛t❡❞ ❜② ❛♣♣❧②✐♥❣ ❢♦r♠✉❧❛ ✸✳✹ ✭❚❛❜❧❡
✽✳✷✵✮✳ ❚❤❡ ♠❡❛♥ r❛t✐♥❣ ❢r♦♠ ❝♦♥tr♦❧ s❛♠♣❧❡s ♦♥ t❤❡ ✜rst ❛♥❞ s❡❝♦♥❞ ❤❛r✈❡st✐♥❣
❞❛t❡ ✇❛s ✶✳✺✶ ❛♥❞ ✸✳✵✽ ✪✳ ❖♥ t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ ❜❡❡ts ❤❛❞
❛ ❤✐❣❤❡r r❛t✐♥❣ t❤❛♥ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✭✹✸✳✼✽ ❛♥❞ ✷✽✳✺✹ ✪✮✳ ❖♥ t❤❡ s❡❝♦♥❞
♠❡❛s✉r❡♠❡♥t ❞❛t❡✱ ❧♦✇✲ ❛♥❞ ❤✐❣❤✲ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ❛ s✐♠✐❧❛r ❛✈❡r❛❣❡
r❛t✐♥❣ ✭✻✶✳✻✼ ❛♥❞ ✻✷✳✺✽ ✪✱ ❋✐❣✉r❡ ✹✳✷✻✮✳
Mean of hyperspectral RRCR rating of surface tissue
Harvest 1
Harvest 2
80
Rating (%)
60
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
40
20
0
1. Control
2. Low Inoculated
3. High Inoculated
1. Control
2. Low Inoculated
3. High Inoculated
Treatment
❋✐❣✉r❡ ✹✳✷✻✿ ❆✈❡r❛❣❡ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ❛t t✇♦
❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣ ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✳
■♥ t❤❡ ❝❛s❡ ♦❢ ✐♥♥❡r t✐ss✉❡ ❡✈❛❧✉❛t✐♦♥✱ t❤❡ ♠❡❛♥ ✈❛❧✉❡ ♦❢ ❇ts✐ ❢r♦♠ ✧❤❡❛❧t❤②✧
❧❛❜❡❧❡❞ ♣✐①❡❧s ✇❛s ✵✳✵✸ ✇✐t❤ ❛ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ♦❢ ✵✳✵✺✳ ❉❛♠❛❣❡❞ ♣✐①❡❧s s❝♦r❡❞
❛ ❝❛❧❝✉❧❛t❡❞ ♠❡❛♥ ♦❢ ✲ ✵✳✺✵ ✇✐t❤ ❛ st❛♥❞❛r❞ ❞❡✈✐❛t✐♦♥ ♦❢ ✵✳✵✻✳ ❙✉♣♣♦rt❡❞ ❜②
t❤❡s❡ ❢♦✉r ✈❛❧✉❡s✱ t❤❡ ❧✐♠✐t ♣♦✐♥t ❢♦r ❤❡❛❧t❤ ❝❧❛ss✐✜❝❛t✐♦♥ ✇❛s ❝❛❧❝✉❧❛t❡❞ ✭✲ ✵✳✷✸
❇ts✐ ✉♥✐ts✮✳ P✐①❡❧s ✇✐t❤ ✈❛❧✉❡s ❤✐❣❤❡r t❤❛♥ t❤❡ ❧✐♠✐t ✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❤❡❛❧t❤②
♣✐①❡❧s✱ ✇❤✐❧❡ ♣✐①❡❧s ✇✐t❤ ✐♥❞❡① ✈❛❧✉❡s ♦❢ ✲ ✵✳✷✸ ♦r ❧♦✇❡r ✇❡r❡ ❝❧❛ss✐✜❡❞ ❛s ❞❛♠❛❣❡❞✳
❚❤❡ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘ r❛t✐♥❣ ♦❢ ❛❧❧ s❛♠♣❧❡s ✐s s❤♦✇♥ ✐♥ ❚❛❜❧❡ ✽✳✷✶✳ ❚❤❡
♠❡❛♥ r❛t✐♥❣ ❢r♦♠ ❝♦♥tr♦❧ s❛♠♣❧❡s ♦♥ t❤❡ ✜rst ❛♥❞ s❡❝♦♥❞ ❤❛r✈❡st✐♥❣ ❞❛t❡ ✇❛s ✶✳✾✼
❛♥❞ ✹✳✹✾ ✪✱ r❡s♣❡❝t✐✈❡❧②✳ ❖♥ t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s
s❤♦✇❡❞ ❛ s✐♠✐❧❛r r❛t✐♥❣ t♦ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ ✭✶✾✳✾✺ ❛♥❞ ✶✽✳✻✻ ✪✮✳ ❆t ✶✼ ❞❛✐✱ ❤✐❣❤✲
✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥t❡❞ ❛ ❤✐❣❤❡r r❛t✐♥❣ t❤❛♥ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ ✇✐t❤ ✈❛❧✉❡s ♦❢
✸✷✳✽✻ ❛♥❞ ✹✹✳✶✶ ✪✱ r❡s♣❡❝t✐✈❡❧② ✭❋✐❣✉r❡ ✹✳✷✼✮✳
✹✽
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Mean of hyperspectral RRCR rating of inner tissue
Harvest 1
Harvest 2
60
40
Rating (%)
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
20
0
1. Control
2. Low Inoculated
3. High Inoculated
1. Control
2. Low Inoculated
3. High Inoculated
Treatment
❋✐❣✉r❡ ✹✳✷✼✿ ❆✈❡r❛❣❡ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ ✐♥♥❡r t✐ss✉❡ ❛t t✇♦
❞✐✛❡r❡♥t ❤❛r✈❡st✐♥❣ ❞❛t❡s✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✳
✹✳✷✳✼ ❊✛❡❝t ♦❢ ❘❤✐③♦❝t♦♥✐❛ ♦♥ ❜❡❡t ❜r❡✐ r❡✢❡❝t❛♥❝❡ ✐♥ t❤❡
❱■❙◆■❘ ❛♥❞ ❙❲■❘ r❡❣✐♦♥s
❚❤❡ ♠❡❛♥ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ❜❡❡t ❜r❡✐ ✐s ❡①♣♦s❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✷✽✳ ■♥ t❤❡ ❱■❙◆■❘
r❡❣✐♦♥✱ ❜❡❡t✲❜r❡✐ r❡✢❡❝t❛♥❝❡ ♣r❡s❡♥ts ♥♦ ✈✐s✉❛❧ ❞✐✛❡r❡♥❝❡s ❢♦r ❝♦♥tr♦❧ ❛♥❞ ❤✐❣❤✲
✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✐♥ ❜♦t❤ ♠❡❛s✉r❡♠❡♥ts ❞❛t❡s❀ ♥❡✈❡rt❤❡❧❡ss✱ t❤❡ r❡✢❡❝t❛♥❝❡
✈❛❧✉❡s ♦❢ t❤❡ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ♣r❡s❡♥ts s❧✐❣❤t❧② ❧♦✇❡r ✈❛❧✉❡s ✐♥ t❤❡ r❡❣✐♦♥
♦❢ ✼✺✵✲✾✺✵♥♠ t❤❛♥ ♦t❤❡r tr❡❛t♠❡♥ts✳
❖♥ t❤❡ ✜rst ❤❛r✈❡st✐♥❣ ❞❛t❡✱ t❤❡ r❡❣✐♦♥ ♦❢ ✶✷✵✵✲✶✹✺✵✱ ✶✹✺✵✲✶✽✵✵ ❛♥❞ ✶✽✺✵✲
✷✷✵✵♥♠ ♣r❡s❡♥t❡❞ t❤❡ ❧♦✇❡st ✈❛❧✉❡s ❢♦r ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✳ ❋♦r ❧♦✇ ✐♥♦❝✲
✉❧❛t❡❞ s❛♠♣❧❡s✱ t❤❡ ✈❛❧✉❡s ✇❡r❡ ❜❡t✇❡❡♥ ❝♦♥tr♦❧✲ ❛♥❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s
❢♦r ♠❡♥t✐♦♥❡❞ r❡❣✐♦♥s✳ ❆t t❤❡ s❡❝♦♥❞ ❤❛r✈❡st✱ t❤❡ r❡✢❡❝t❛♥❝❡ s✐❣♥❛t✉r❡ ♦❢ ❧♦✇
✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❞❡❝r❡❛s❡❞✱ ♠❛t❝❤✐♥❣ t❤❡ ❧❡✈❡❧ ♦❢ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❢♦r
t❤❡ t❤r❡❡ r❡❣✐♦♥s✳
✹✾
❈❍❆P❚❊❘ ✹✳
❘❊❙❯▲❚❙
Non−imaging−reflectance of beet−brei
0.3
0.2
Harvest 1
Reflectance
0.1
0.0
0.3
0.2
Harvest 2
0.1
0.0
500
1000
1500
2000
2500
Wavelength [nm]
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✹✳✷✽✿ ❆✈❡r❛❣❡ ♦❢ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ❜❡❡t✲❜r❡✐ ❛t t✇♦ ❤❛r✈❡st✐♥❣ ❞❛t❡s✱ ✶✷
❛♥❞ ✶✼ ❞❛✐✱ ❢r♦♠ t❤r❡❡ ❘❤✐③♦❝t♦♥✐❛✲tr❡❛t♠❡♥ts✿ ✶✮ ❝♦♥tr♦❧✱ ✷✮❧♦✇
✐♥♦❝✉❧❛t❡❞✱ ✸✮ ❤✐❣❤ ✐♥♦❝✉❧❛t❡❞✳
✺✵
✺ ❉✐s❝✉ss✐♦♥
✺✳✵✳✶ ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ♠❡t❤♦❞s ❢♦r ❧❡❛❢ ❛♥❞ ❜❡❡t
❡✈❛❧✉❛t✐♦♥
❚❤❡ s❡♥s✐t✐✈✐t② ♦❢ ❛♥ ✐♠❛❣✐♥❣ ♠❡t❤♦❞ t♦ s❡❣♠❡♥t t❤❡ ♦❜❥❡❝t ❢r♦♠ t❤❡ ❜❛❝❦❣r♦✉♥❞
✐s ♦♥❡ ♦❢ t❤❡ ♠♦st ✐♠♣♦rt❛♥t ❛s♣❡❝ts ♣r✐♦r t♦ ❞❛t❛ ❛♥❛❧②s✐s✳ ❚❤❡ ❧♦ss ♦❢ ♣✐①❡❧s
❢r♦♠ ❛♥② ❛❜♦✈❡✲❣r♦✉♥❞ ♣❧❛♥t ♣❛rt ❝❛♥ ❧❡❛❞ t♦ t❤❡ ❡①tr❛❝t✐♦♥ ♦❢ ✐♥❛❞❡q✉❛t❡ ❞❛t❛✳
■♥ r❡♠♦t❡ s❡♥s✐♥❣✱ ❙❱■s ❤❛✈❡ ❜❡❡♥ ❝r❡❛t❡❞ t♦ ❞✐✛❡r❡♥t✐❛t❡ ❝❛♥♦♣② ❢r♦♠ t❤❡ s♦✐❧
❜② ❝♦♥s✐❞❡r✐♥❣ ❛t♠♦s♣❤❡r✐❝ ❡✛❡❝ts✱ t②♣❡s ♦❢ ✈❡❣❡t❛t✐♦♥ ❛♥❞ t②♣❡s ♦❢ s♦✐❧s ❬✸✹✕✸✻❪✳
❍♦✇❡✈❡r✱ t❤❡ s❡✈❡r✐t② ♦❢ t❤❡ ❞✐s❡❛s❡ ✇❛s ♥❡✈❡r ❜❡❡♥ t❛❦❡♥ ✐♥t♦ ❛❝❝♦✉♥t t♦ ❞✐✛❡r✲
❡♥t✐❛t❡ ♣❧❛♥t ❛♥❞ ❜❛❝❦❣r♦✉♥❞ ♣✐①❡❧s✳ ❚❤✐s st✉❞② s❤♦✇s ❤♦✇ ✐♠❛❣❡s ♦❢ s✉❣❛r ❜❡❡t
♣❧❛♥ts ❤✐❣❤❧② ❞✐s❡❛s❡❞ ✇✐t❤ ❘❤✐③♦❝t♦♥✐❛ ❝❛♥♥♦t ❜❡ s❡❣♠❡♥t❡❞ ❜② ❙❱■s ✐♥ ♠♦r❡
t❤❛♥ ✼✺✪ ♦❢ t❤❡ ♦❜❥❡❝t ❛r❡❛✳ ❚❤❡ ❝♦♠❜✐♥❛t✐♦♥ ♦❢ ❖❙❆❱■ ❛♥❞ ❉❱■ ❞❡❝r❡❛s❡❞ t❤❡
❧♦ss ♦❢ ♣❧❛♥t ♣✐①❡❧s✱ ✇❤✐❧❡ ✐♥❝r❡❛s✐♥❣ t❤❡ ♣♦ss✐❜✐❧✐t② t♦ ✐❞❡♥t✐❢② r❡❧❡✈❛♥t ❜❛♥❞s ✐❢
s②♠♣t♦♠s ❛r❡ ❧♦❝❛t❡❞ ✐♥ s♣❡❝✐✜❝ ♣❧❛♥t ♣❛rts ❛s t❤❡ ❜❛s❡ ♦❢ ♣❡t✐♦❧❡s✳ ❚❤❡ ❤✐❣❤
♣❡r❢♦r♠❛♥❝❡ ♦❢ ❖❙❆❱■ t♦ ❝❤❛r❛❝t❡r✐③❡ ❛❣r✐❝✉❧t✉r❛❧ ❝r♦♣s ✐♥❝❧✉❞✐♥❣ s✉❣❛r ❜❡❡ts
❝♦♠♣❛r❡❞ t♦ ♦t❤❡r ✐♥❞❡①❡s s✉❝❤ ❛s ◆❉❱■ ✭◆♦r♠❛❧✐③❡❞ ❉✐✛❡r❡♥❝❡ ❱❡❣❡t❛t✐♦♥ ■♥✲
❞❡①✮ ✇❛s ❝♦♥✜r♠❡❞ ✐♥ ❛ ♣r❡✈✐♦✉s st✉❞② ❬✸✺❪✳ ■♥ t❤❡ ❝❛s❡ ♦❢ ❉❱■✱ ✐ts ♠♦❞❡❧✐♥❣ ✇❛s
❢♦❝✉s❡❞ ♦♥ ❞✐✛❡r❡♥t✐❛t✐♥❣ s♦✐❧ ❛♥❞ ✈❡❣❡t❛t✐♦♥✱ ✇✐t❤ t❤❡ ❞✐s❛❞✈❛♥t❛❣❡ ♦❢ ❧♦✇ s❡♥s✐✲
t✐✈✐t② t♦ s❡♣❛r❛t❡ ❞✐✛❡r❡♥t t②♣❡s ♦❢ ❜❛❝❦❣r♦✉♥❞ s✉❝❤ ❛s ✇❛t❡r ❛♥❞ s♦✐❧ ❬✸✼❪✳ ❚❤✐s
❛s♣❡❝t s❤♦✇❡❞ ❛♥ ❛❞✈❛♥t❛❣❡ ❢♦r t❤❡ ♣r❡s❡♥t st✉❞② ❜❡❝❛✉s❡ s♦♠❡ ♣✐①❡❧s ❝♦✉❧❞ ❜❡ r❡✲
❝♦✈❡r❡❞ ✇❤❡♥ ❝♦♠❜✐♥❡❞ ✇✐t❤ ❖❙❆❱■✳ ❋♦r t❤✐s r❡❛s♦♥✱ ✐t ✐s ✐♠♣♦rt❛♥t t♦ ♥♦t❡ t❤❛t
t❤❡ ❛❜✐❧✐t② ♦❢ ❙❱■s t♦ ❞✐✛❡r❡♥t✐❛t❡ ♣❧❛♥t ❛♥❞ ❜❛❝❦❣r♦✉♥❞ ❞✉r✐♥❣ ♣❧❛♥t✲♣❛t❤♦❣❡♥
✐♥t❡r❛❝t✐♦♥ ✐s ❞r❛st✐❝❛❧❧② r❡❞✉❝❡❞✱ ❡s♣❡❝✐❛❧❧② ✇❤❡♥ t❤❡r❡ ✐s t✐ss✉❡ ❞❛♠❛❣❡✳
❉❡s♣✐t❡ t❤❡ ♦✈❡r❛❧❧ ❣♦♦❞ ♣❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ♣r♦♣♦s❡❞ ❜❡❡t ✐♠❛❣✐♥❣ ♠❡t❤♦❞✱
s♦♠❡ ❛s♣❡❝ts s❤♦✉❧❞ ❜❡ ❝♦♥s✐❞❡r❡❞ ❢♦r ❢✉t✉r❡ st✉❞✐❡s✳ ❋✐rst✱ t❤❡ ❇❡❡t s❡❣♠❡♥✲
t❛t✐♦♥ ✐♥❞❡① ✭❇s✐✮ ❤❛s t♦ ❜❡ ✐♠♣r♦✈❡❞ t♦ ❞✐st✐♥❣✉✐s❤ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ❢r♦♠ t❤❡
❜❛❝❦❣r♦✉♥❞✱ ❡s♣❡❝✐❛❧❧② ✇❤❡♥ s❝❧❡r♦t✐❛ ❤❛s ❛❞❤❡r❡❞ t♦ t❤❡ ♣❧❛♥t✳ P✐①❡❧s ✇✐t❤ t❤✐s
❝♦♠♣❛❝t❡❞ str✉❝t✉r❡s ❡①♣♦s❡❞ s✐♠✐❧❛r ✐♥❞❡① ✈❛❧✉❡s ❛s ❜❛❝❦❣r♦✉♥❞ ♣r♦❞✉❝✐♥❣ t❤❡
❧♦ss ♦❢ t❤❡♠ ❛t t❤❡ ❞❛t❛ ♣r♦❝❡ss✐♥❣ st❛❣❡ ✭❋✐❣✉r❡ ✽✳✸✶✮✳ ■t ✐s ❛❧s♦ ✐♠♣♦rt❛♥t t♦
✉♥❞❡rst❛♥❞ t❤❡ r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ ❜❛♥❞s ♦❢ ✹✺✶ ❛♥❞ ✼✾✺ ♥♠ ❛♥❞ ❜❡❡t t✐ss✉❡✱
❛♥❞ ❢♦r t❤✐s✱ t❤❡ ❛ss❡ss♠❡♥t ♦❢ q✉❛❧✐t② ♣❛r❛♠❡t❡rs ❝♦✉❧❞ ❣✐✈❡ s♦♠❡ ❦❡② ✐♥❢♦r♠❛✲
t✐♦♥✳ ❋✐♥❛❧❧②✱ t♦ ❛✈♦✐❞ t❤❡ ♠❛♥✉❛❧ ❝✉tt✐♥❣ ♦❢ ❝r♦✇♥ ❢r♦♠ t❤❡ ❜✐♥❛r② ♠❛s❦ t❤✐s
❜❡❡t ♣❛rt ❤❛s t♦ ❜❡ ❝✉t ❜❡❢♦r❡ t❤❡ ❞❛t❛ ❛❝q✉✐s✐t✐♦♥✱ t❤✐s ♣r♦❝❡❞✉r❡ ❝❛♥ ✐♥❝❧✉s✐✈❡❧②
✐♥❝r❡❛s❡ t❤❡ s♣❡❡❞ ♦❢ ✐♠❛❣❡ ♣r♦❝❡ss✐♥❣✳
✺✳✵✳✷ ❘❤✐③♦❝t♦♥✐❛ ❛♥❞ s✉❣❛r ❜❡❡t r❡✢❡❝t❛♥❝❡
❚❤❡ ✐♥t❡r❛❝t✐♦♥ ❜❡t✇❡❡♥ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ❛♥❞ s✉❣❛r ❜❡❡t ♣r♦❞✉❝❡❞ ❝❤❛♥❣❡s ✐♥
t❤❡ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡ ❛t ❞✐✛❡r❡♥t str✉❝t✉r❡s✳ ■♥ ❧❡❛✈❡s✱ t❤❡ ❞❡❝❧✐♥❡ ♦❢ r❡✢❡❝t❛♥❝❡
✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✻✵✵✲✼✵✵ ♥♠ ✇❛s ♦❜s❡r✈❡❞ ❞✉r✐♥❣ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t✳ ▲❡❛✈❡
②❡❧❧♦✇✐♥❣ ✐s ❛ s②♠♣t♦♠ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✱ ✇❤✐❝❤ ✐s ♣r♦❞✉❝❡❞ ❜② ❧♦✇ ❝❤❧♦r♦✲
✺✶
❈❍❆P❚❊❘ ✺✳
❉■❙❈❯❙❙■❖◆
♣❤②❧❧ ❝♦♥t❡♥t✳ ❚❤❡ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡ ♦❢ t❤❡ ♠❡♥t✐♦♥❡❞ r❡❣✐♦♥ ✐s ❝♦♥tr♦❧❧❡❞ ❜②
t❤❡ ♣❧❛♥t✲♣✐❣♠❡♥t r❛t✐♦✳ ❲❤❡♥ t❤❡ ❝♦♥t❡♥t ♦❢ ❧❡❛❢ ❝❤❧♦r♦♣❤②❧❧ ❛ ♦r ❜ ❞❡❝r❡❛s❡s✱
t❤❡ r❡❞ s♣❡❝tr❛❧ r❡❣✐♦♥ ✐s str♦♥❣❧② ❛✛❡❝t❡❞ t❤r♦✉❣❤ ❛ ❞❡❝r❡❛s❡ ✐♥ ❧✐❣❤t ❛❜s♦r♣t✐♦♥
♦r ❛♥ ✐♥❝r❡❛s❡ ♦❢ ❧✐❣❤t r❡❢r❛❝t✐♦♥ ❬✶✾❪✳ ❆s ❛ r❡s✉❧t✱ t❤✐s r❡s✉❧ts ✐♥ t❤❡ ♣❡r❝❡✐✈❡❞
❞r♦♣ ♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s✳ ❉✉r✐♥❣ t❤❡ ✐♥t❡r❛❝t✐♦♥✱ t❤❡ ❞❡❝r❡❛s❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✐♥
✼✸✵✲✾✺✵ ♥♠ ✇❛s ❛❧s♦ s❤♦✇♥✳ ❚❤✐s r❡❣✐♦♥ ✐s ✐♥ t❤❡ ◆■❘ s♣❡❝tr✉♠ ❛♥❞ ♠♦st❧②
❝♦♥tr♦❧❧❡❞ ❜② ❢♦✉r ❢❛❝t♦rs✿ t❤❡ r❛t✐♦ ♦❢ ♠❡s♦♣❤②❧❧ ❝❡❧❧ s✉r❢❛❝❡ t♦ ✐♥t❡r❝❡❧❧✉❧❛r ❛✐r
s♣❛❝❡❀ t❤❡ ✐♥t❡r♥❛❧ ❝♦♠♣♦s✐t✐♦♥ ♦❢ ♠❡s♦♣❤②❧❧ ❧❛②❡rs✱ ♣❛❧✐s❛❞❡✱ ❛♥❞ s♣♦♥❣② ❝❡❧❧s❀
t❤❡ ❞r② ♠❛tt❡r ♦❢ ❧❡❛✈❡s❀ ❛♥❞ t❤❡ ▲❡❛❢ ❆♥❣❧❡ ❉✐str✐❜✉t✐♦♥ ✭▲❆❉✮ ❬✶✾✱ ✸✽❪✳ ❋✉r✲
t❤❡r st✉❞✐❡s ❛r❡ ♥❡❝❡ss❛r② t♦ ✉♥❞❡rst❛♥❞ t❤❡ ❝♦♥♥❡❝t✐♦♥ ♦❢ t❤❡s❡ ❢❛❝t♦rs ✇✐t❤ t❤❡
♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥✳
▲❡❛❢ r❡✢❡❝t❛♥❝❡ ♦❢ ❤❡❛❧t❤② s❛♠♣❧❡s ❝❛♥ ❛❧s♦ ❝❤❛♥❣❡✳ ❚❤❡ ♣r❡s❡♥t st✉❞② s❤♦✇s
❤♦✇ t❤❡ s✐❣♥❛t✉r❡ ♦❢ ♥♦♥✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❝❤❛♥❣❡❞ ✐♥ t❤❡ r❡❣✐♦♥ ♦❢ ✺✷✵✲✻✺✵
♥♠ ❛♥❞ ✼✸✵✲✾✺✵ ♥♠✳ ❚❤✐s ✐s ❜❡❝❛✉s❡ ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ✐s ❝♦♥tr♦❧❧❡❞ ❜② ❛ ♥✉♠❜❡r
♦❢ ❜✐♦❝❤❡♠✐❝❛❧ ❛♥❞ ♣❤②s✐❝❛❧ ✈❛r✐❛❜❧❡s ✇❤✐❝❤ ❛r❡ ❡①♣♦s❡❞ t♦ ❛❜✐♦t✐❝ str❡ss✳ ❚❤✐s
♥❡❣❛t✐✈❡ ✐♠♣❛❝t ❝❛♥ ❧❡❛❞ t♦ ❛♥ ✐♥❞✉❝❡❞ ❜r❡❛❦❞♦✇♥ ♦❢ ♣✐❣♠❡♥ts ❛✛❡❝t✐♥❣ t❤❡
✈✐s✐❜❧❡ s♣❡❝tr✉♠ t❤❛t ❛t t❤❡ s❛♠❡ t✐♠❡ ❝❛✉s❡s ❝❤❛♥❣❡s ✐♥ r❡❢r❛❝t✐✈❡ ♣r♦♣❡rt✐❡s
♦❢ ♠❡s♦♣❤②❧❧ ❝❡❧❧s ❞✐st✉r❜✐♥❣ ✐♥t❡r♥❛❧ s❝❛tt❡r✐♥❣ ❛♥❞ ❝❤❛♥❣❡s ✐♥ t❤❡ r❡✢❡❝t❛♥❝❡
✈❛❧✉❡s ♦❢ ◆■❘ r❡❣✐♦♥ ❬✶✾❪✳
■♥ t❤❡ ❝❛s❡ ♦❢ ❜❡❡t r❡✢❡❝t❛♥❝❡✱ ✐♥♥❡r ❛♥❞ s✉r❢❛❝❡ t✐ss✉❡ r❡✢❡❝t❛♥❝❡ ✇❛s ❞✐✛❡r❡♥t
❞✉r✐♥❣ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t✳ ❙✉r❢❛❝❡ t✐ss✉❡ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠✲
♣❧❡s ❞❡❝r❡❛s❡❞ ❢❛st❡r t❤❛♥ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞✱ ✇❤✐❧❡ ✐♥ t❤❡ ✐♥♥❡r t✐ss✉❡ ✐t ✇❛s t❤❡
♦♣♣♦s✐t❡✳ ❆ ♣♦ss✐❜❧❡ ❡①♣❧❛♥❛t✐♦♥ ❢♦r t❤✐s ✐s t❤❛t ✐♥ t❡r♠s ♦❢ ❤✐st♦❧♦❣②✱ t❤❡ r♦♦t
s✉r❢❛❝❡ ✐s ❛ t✐ss✉❡ ❝♦✈❡r❡❞ ❜② ❛ s✐♥❣❧❡ ❧❛②❡r ♦❢ ❡❧♦♥❣❛t❡❞ ❤❛✐r② ❡♣✐❞❡r♠✐s ❝❡❧❧s✳ ■t
❢✉♥❝t✐♦♥s ❛s ❛ s♦✐❧✲♣❧❛♥t ❜♦✉♥❞❛r② ❛♥❞ ❛❜s♦r❜s ✇❛t❡r ❛♥❞ ♠✐♥❡r❛❧ ♥✉tr✐❡♥ts✱ ✇❤✐❧❡
✐♥♥❡r t✐ss✉❡ ✐s ♣r❡❞♦♠✐♥❛t❡❞ ❜② t❤❡ ✈❛s❝✉❧❛r s②st❡♠ t♦ ❡①❝❤❛♥❣❡ ❝♦♠♣♦✉♥❞s ❜❡✲
t✇❡❡♥ ❧❡❛✈❡s ❛♥❞ t❤❡ r❡st ♦❢ t❤❡ ♣❧❛♥t ❬✸✾❪✳ ❚❤✐s ❢❛❝t s❤♦✉❧❞ ♣r♦❞✉❝❡ t❤❡ r❡❢r❛❝t✐♦♥
♦❢ t✇♦ ❞✐✛❡r❡♥t s♣❡❝tr❛❧ s✐❣♥❛t✉r❡s ❛♥❞ ❜❡❤❛✈✐♦rs✳ ❋✉t✉r❡ st✉❞✐❡s ♦❢ ❝♦rr❡❧❛t✐♦♥
♦❢ ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ s❤♦✉❧❞ t❛❦❡ t❤✐s ❞✐✛❡r❡♥❝❡ ✐♥t♦
❛❝❝♦✉♥t✳
■♥ t❤❡ ❝❛s❡ ♦❢ t❤❡ ♥♦♥✲✐♠❛❣✐♥❣ ❛ss❡ss♠❡♥t✱ t❤❡ ❛❜s❡♥❝❡ ♦❢ ❞✐✛❡r❡♥❝❡s ✐♥ t❤❡
❱■❙◆■❘ r❡❣✐♦♥ ✐s ❛ ♣❛r❛❞♦①✳ ❖♥❡ ❛s♣❡❝t t♦ ❝♦♥s✐❞❡r ✐s t❤❡ st♦r❛❣❡ ❧❡♥❣t❤ ♦❢ t❤❡
❜❡❡t ❜r❡✐✳ ❙t♦r❛❣❡ ❝❤❛♥❣❡❞ ❜❡❡t ❝♦❧♦r ❢r♦♠ ♠✐①❡❞ ❝♦❧♦r t♦ ❜r♦✇♥✳ ❇r♦✇♥✐♥❣
✐♥ ❜❡❡t ✐s ❛ ♣❤❡♥♦♠❡♥♦♥ ❝❛✉s❡❞ ❜② ❡♥③②♠❛t✐❝ r❡❛❝t✐♦♥s t❤❛t ♦❝❝✉r ✇❤❡♥ ❝❡❧❧s
❛r❡ ❞❛♠❛❣❡❞ ❛♥❞ ♣❤❡♥♦❧ ❝♦♠♣♦✉♥❞s ♠✐① ✇✐t❤ P♦❧②♣❤❡♥♦❧ ❖①✐❞❛s❡ ✭PP❖✮ ❛♥❞
P❡r♦①✐❞❛s❡ ✭P❖✮✳ ❚❤❡s❡ ❝♦♠♣♦✉♥❞s ❝♦✉❧❞ ❤❛✈❡ ❞✐sr✉♣t❡❞ t❤❡ r❡✢❡❝t❛♥❝❡ ✐♥ ❱■❙
r❡❣✐♦♥✱ t❤✉s ♠❛❦✐♥❣ ❞✐✣❝✉❧t t♦ ✐❞❡♥t✐❢② t❤❡ s♦✉r❝❡ ♦❢ r❡❢r❛❝t✐♦♥ ❬✹✵❪✳ ◆❡✈❡rt❤❡❧❡ss✱
t❤✐s ✐♥✈❡st✐❣❛t✐♦♥ ❤❛s s❤♦✇♥ t❤❡ ♣♦t❡♥t✐❛❧ ♦❢ ♦t❤❡r r❡❣✐♦♥s ♦❢ t❤❡ ◆■❘ s♣❡❝tr✉♠✱
✇❤✐❝❤ ✐s ❝♦♥tr♦❧❧❡❞ ❜② t❤❡ ✇❛t❡r ❝♦♥t❡♥t ✐♥ ♠♦st ❝❛s❡s ❬✸✽❪✳
✺✳✵✳✸ ❊❛r❧② ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t
❙❡❧❡❝t❡❞ ❜❛♥❞s
❚❤✐s st✉❞② s❤♦✇s t❤❡ ♣♦t❡♥t✐❛❧ ♦❢ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ r❡✢❡❝t✐♦♥✱ s♣❡❝✐✜❝❛❧❧② ❛t ✐♥✲
✢❡❝t✐♦♥ ♣♦✐♥ts ♦❢ t❤❡ s♣❡❝tr❛❧ ❝✉r✈❡✱ t♦ ❞❡t❡❝t r❡✢❡❝t❛♥❝❡ ❝❤❛♥❣❡s ❝❛✉s❡❞ ❞✉r✐♥❣
♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥ t❤❛t ❝❛♥♥♦t ❜❡ ❞❡t❡❝t❡❞ ✇✐t❤ t❤❡ ❤✉♠❛♥ ❡②❡✳
❋r♦♠ ❛❧❧ s❡❧❡❝t❡❞ ❜❛♥❞s✱ ♦♥❧② t❤♦s❡ ❛t ✺✽✽✲✱ ✼✶✹✲ ❛♥❞ ✼✶✼✲♥♠ ✇❡r❡ t❤❡ ♠♦st
♣r♦♠✐s✐♥❣ ❢♦r ❡❛r❧② ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛✳ ❈❤❛♥❣❡s ♦❢ ❝♦♥❝❛✈✐t② ❛t ✺✽✽ ♥♠ ❛r❡
✺✷
❈❍❆P❚❊❘ ✺✳
❉■❙❈❯❙❙■❖◆
r❡❧❛t❡❞ t♦ ♠♦❞✐✜❝❛t✐♦♥s ♦❢ ♣✐❣♠❡♥ts r❛t✐♦✱ ❛♥t❤♦❝②❛♥✐♥s✱ ❝❛r♦t❡♥♦✐❞s✱ ❝❤❧♦r♦♣❤②❧❧
❛ ❛♥❞ ❜ ❬✶✾❪✱ ✇❤✐❝❤ ❛r❡ ❧♦❝❛t❡❞ ✐♥ t❤❡ ❜❛s❡ ♦❢ ♣❡t✐♦❧❡s✳ ■♥ t❤❡ s♣❡❝tr✉♠ r❡❣✐♦♥
❝♦♥tr♦❧❧❡❞ ❜② ❧❡❛❢ str✉❝t✉r❡✱ t❤❡ ✈❛r✐❛t✐♦♥ ♦❢ ❝♦♥❝❛✈✐t② ❢r♦♠ ✉♣✇❛r❞ t♦ ❞♦✇♥✇❛r❞
❛t ✼✶✹ ❛♥❞ ✼✶✼ ♥♠ ❛r❡ ❛❧s♦ ❧♦❝❛t❡❞ ✐♥ ♣❡t✐♦❧❡s ❛♥❞ ♦❧❞ ❧❡❛✈❡s✳ ❚❤✐s ❞❡r✐✈❛t✐✈❡
❝❤❛♥❣❡ ✇❛s ❢♦✉♥❞ ❜❡❢♦r❡ ❧❡❛❢ ❝♦❧❧❛♣s❡✳ ❆ ❝♦♥tr❛st ♦❢ ❝❤❡♠✐❝❛❧ str✉❝t✉r❡s ✐♥ ❛❢✲
❢❡❝t❡❞ t✐ss✉❡ ❢r♦♠ ❤❡❛❧t❤② ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✐s ♥❡❡❞❡❞ t♦ ✉♥❞❡rst❛♥❞ ✇❤✐❝❤
❝♦♠♣♦✉♥❞s ❛r❡ ✐❧❧✉str❛t❡❞ ❜② ♠❡♥t✐♦♥❡❞ ❜❛♥❞s✳ ■t ✐s ❛❧s♦ ✐♠♣♦rt❛♥t t♦ ♠❡♥t✐♦♥
t❤❡ ❤✐❣❤ r❡s♦❧✉t✐♦♥ t❤❛t ✐s r❡q✉✐r❡❞✱ ✇❤✐❝❤ ✇♦✉❧❞ ❜❡ t❤❡ r❡❛s♦♥ ✇❤② ❤②♣❡rs♣❡❝tr❛❧✲
❛♥❞ ♠✉❧t✐s♣❡❝tr❛❧✲✐♥✈❡st✐❣❛t✐♦♥s ✐♥ ❝❛♥♦♣② ❛♥❞ ✜❡❧❞ s❝❛❧❡ ❤❛✈❡ ❢❛✐❧❡❞ t♦ ✜♥❞ s♣❡❝✲
tr❛❧ ❝❤❛♥❣❡s ❜❡❢♦r❡ ❧❡❛❢ ②❡❧❧♦✇✐♥❣ ❬✷✵✱ ✷✷✕✷✹❪✳ ■♥ ❢❛❝t✱ ❛ ❝❛♥♦♣② s❝❛❧❡ ❡✈❛❧✉❛t✐♦♥
s❤♦✇❡❞ ❤♦✇ ❝♦♠♣❧❡t❡ ✐♠❛❣❡ r❡✢❡❝t❛♥❝❡ ❤❛s ♠♦r❡ ♣♦t❡♥t✐❛❧ t❤❛♥ t❤❡ r❡✢❡❝t❛♥❝❡
♦❢ ❧❡❛❢ ❧❛♠✐♥❛ ❢♦r ❘❘❈❘ ❡❛r❧② ❞❡t❡❝t✐♦♥ ❬✷✷❪✳
❚❤❡ ❜❛♥❞ ❛t ✼✾✺ ♥♠ ✐❧❧✉str❛t❡ ❝❤❛♥❣❡s ♣r♦❜❛❜❧② r❡❧❛t❡❞ t♦ t❤❡ ❝♦❧❧❛♣s❡ ♦❢ t❤❡
❧❡❛❢ str✉❝t✉r❡✳ ❈❧♦s❡ t♦ t❤✐s ❜❛♥❞ st❛rts t❤❡ ◆■❘ ♣❧❛t❡❛✉ r❡❣✐♦♥ ✭✽✵✵✲✶✹✵✵ ♥♠✮✱
✇❤✐❝❤ ✐s ❤✐❣❤❧② ❝♦rr❡❧❛t❡❞ ✇✐t❤ t❤❡ ❝♦♥❝❡♥tr❛t✐♦♥ ♦❢ ♥✐tr♦❣❡♥ ❝♦♠♣♦✉♥❞s ❬✸✽❪✳
❋✉rt❤❡r st✉❞✐❡s ❛r❡ ♥❡❝❡ss❛r② t♦ ✉♥❞❡rst❛♥❞ t❤❡ ✐♥t❡r❛❝t✐♦♥ ♦❢ t❤✐s ✐♥✢❡❝t✐♦♥ ♣♦✐♥t
✇✐t❤ t❤❡ s♦✐❧✲❜♦r♥❡ ♣❛t❤♦❣❡♥✳ ❍♦✇❡✈❡r✱ t❤✐s ✐♥✢❡❝t✐♦♥ ♣♦✐♥t ✐s ♥♦t r❡❧❡✈❛♥t ❢♦r
❡❛r❧② ❞❡t❡❝t✐♦♥✳
❙✉♣♣♦rt ✈❡❝t♦r ♠❛❝❤✐♥❡
❚❤❡ ♣r♦♣♦s❡❞ r❡❞✉❝❡❞ ❙❱▼✲♠♦❞❡❧ s❤♦✇❡❞ ♣❡r❢♦r♠❛♥❝❡ t❤❛♥ ❝♦♠♣❧❡t❡ ✈❛r✐❛❜❧❡
♠♦❞❡❧s✳ ❆ ❝❛✉s❡ ♦❢ t❤✐s ❝♦✉❧❞ ❜❡ r❡❧❛t❡❞ t♦ s❡❧❡❝t❡❞ tr❛✐♥✐♥❣ ❞❛t❛ ♦❢ t❤❡ ❧❛st t✇♦
♠❡❛s✉r❡♠❡♥ts ✉s❡❞ t♦ ❡st❛❜❧✐s❤ t❤❡ ❜♦✉♥❞❛r② ♦❢ ❡❛❝❤ ❝❧❛ss ✭❝♦♥tr♦❧ ❛♥❞ ❞✐s❡❛s❡❞✮✳
❚❤❡ ❧❛❝❦ ♦❢ ❞❛t❛ ❢r♦♠ t❤❡ ❝♦♠♣❧❡t❡ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t ✐♥ ❝♦♠❜✐♥❛t✐♦♥ ✇✐t❤ t❤❡
✇❡✐❣❤ts ❣✐✈❡♥ t♦ ❡❛❝❤ ✈❛r✐❛❜❧❡ ❝❛♥ ❧❡❛❞ t♦ ✐♥❛❞❡q✉❛t❡ ❝❤♦s❡ ♦❢ s✉♣♣♦rt ✈❡❝t♦r
❢♦r ❝❧❛ss✐✜❝❛t✐♦♥ ❜❡❝♦♠✐♥❣ ✉♥♣r❡❝✐s❡ r❡s✉❧ts ❢♦r t❤❡ t✐♠❡ s❡r✐❡s✲❡✈❛❧✉❛t✐♦♥ ❬✹✶❪✳
◆❡✈❡rt❤❡❧❡ss✱ ❜② s❡❧❡❝t✐♥❣ ❛ ❝❡rt❛✐♥ ♥✉♠❜❡r ♦❢ ✈❛r✐❛❜❧❡s✱ t❤❡ ♠♦❞❡❧ ❝❛♥ r❡❞✉❝❡
♣♦ss✐❜❧❡ ❝❧❛ss✐✜❝❛t✐♦♥ ❡rr♦rs✳
▲✐♥❡❛r ♠♦❞❡❧s ❤❛✈❡ ❜❡tt❡r ♣❡r❢♦r♠❛♥❝❡ t❤❛♥ r❛❞✐❛❧ ♠♦❞❡❧s ❢♦r ❘❤✐③♦❝t♦♥✐❛
❞❡t❡❝t✐♦♥✳ ❆ r❛❞✐❛❧ ❦❡r♥❡❧ ♠♦❞❡❧ ✐s r❡❝♦♠♠❡♥❞❡❞ ✇❤❡♥ ❞❛t❛ ✐s ♥♦t ❧✐♥❡❛r❧② s❡♣✲
❛r❛❜❧❡ ❬✹✶❪✳ ❚❤❡ t❤r❡❡✲❞✐♠❡♥s✐♦♥❛❧ ❣r❛♣❤✐❝ ♣r❡s❡♥t❡❞ ✐♥ ❋✐❣✉r❡ ✹✳✶✽ s❤♦✇s t❤❡
❧✐♥❡❛r ❞✐str✐❜✉t✐♦♥ ♦❢ r❡✢❡❝t❛♥❝❡ ✐♥ t❤❡ ❝♦♦r❞✐♥❛t❡ s②st❡♠ t♦ ❡①♣❧❛✐♥ t❤❡ ❜❡tt❡r
✜t ♦❢ ❧✐♥❡❛r ♠♦❞❡❧s✳
❖✈❡r❛❧❧✱ ✈✐s✉❛❧ r❛t✐♥❣ ♣r❡s❡♥t❡❞ ❛ ❝❧❡❛r ❞❡t❡❝t✐♦♥ ♦❢ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s
❢r♦♠ ✶✵ ❞❛✐✱ ✇❤✐❧❡ t❤❡ ❜❡st ❙❱▼✲♠♦❞❡❧ ❜❡❣❛♥ ❞❡t❡❝t✐♦♥ ❛t ✼ ❞❛✐✳ ■♥ ❧♦✇✲
✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✱ t❤❡ ✈✐s✉❛❧ r❛t✐♥❣ ✇❛s ❛❜❧❡ t♦ ♠❛❦❡ ❛ ❞✐st✐♥❝t✐♦♥ ❢r♦♠ ✶✷
❞❛✐✱ ✇❤✐❧❡ t❤❡ ♣r♦♣♦s❡❞ ♠♦❞❡❧ ❞❡t❡❝t❡❞ s❛♠♣❧❡s ❛t ✶✵ ❞❛✐✳ ◆❡✇ ♠♦❞❡❧s ❢♦❝✉s❡❞
♦♥ r❡✢❡❝t❛♥❝❡ ❢r♦♠ ♣❡t✐♦❧❡s ❛♥❞ ♦❧❞ ❧❡❛✈❡s ❝♦✉❧❞ ❛❧s♦ ✐♠♣r♦✈❡ t❤✐s ♠♦❞❡❧✳
✺✳✵✳✹ ❙✉✐t❛❜✐❧✐t② ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ❜② ✐♠❛❣✐♥❣
P❡r❢♦r♠❛♥❝❡ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❘❘❈❘ ✐s ♠♦r❡ ♣r❡❝✐s❡ t❤❛♥ ❝❧❛ss✐❝❛❧ r♦♦t r♦t r❛t✲
✐♥❣✳ ❙❤❛r♣ ❞✐✛❡r❡♥❝❡s ❜❡t✇❡❡♥ tr❡❛t♠❡♥ts ❛♥❞ ❞❛♠❛❣❡❞ t✐ss✉❡ ✇❡r❡ ❞❡t❡❝t❡❞✳
❍♦✇❡✈❡r✱ ❞❡t❡r♠✐♥✐♥❣ s✐❣♥✐✜❝❛♥t ♠❡❛♥ ❞✐✛❡r❡♥❝❡s ✇❛s ♥♦t t❤❡ ♦❜❥❡❝t✐✈❡ ♦❢ t❤❡
❝✉rr❡♥t ✐♥✈❡st✐❣❛t✐♦♥✳
❇♦t❤ t❤❡ s❡❧❡❝t❡❞ ❜❛♥❞s ✐♥ ✐♥♥❡r ❛♥❞ s✉r❢❛❝❡ ❜❡❡t t✐ss✉❡ st❛t❡ ✐♥❞❡①❡s s❤♦✇❡❞
t❤❛t r❡✢❡❝t❛♥❝❡ ❛t ✼✶✶ ♥♠ ✐s ♠♦r❡ s❡♥s✐❜❧❡ ❛❢t❡r ❘❤✐③♦❝t♦♥✐❛ ✐♥❢❡❝t✐♦♥✳ ❚♦ ✉♥✲
❞❡rst❛♥❞ t❤✐s s❡♥s✐❜✐❧✐t②✱ t✇♦ ❛s♣❡❝ts s❤♦✉❧❞ ❜❡ ❝♦♥s✐❞❡r❡❞✿ t❤❡ ❝♦♠♣❧❡t❡ ✐♥❢❡❝✲
✺✸
❈❍❆P❚❊❘ ✺✳
❉■❙❈❯❙❙■❖◆
t✐♦♥ ♣r♦❝❡❞✉r❡✱ ❢r♦♠ ♣❡♥❡tr❛t✐♦♥ t♦ ❤②♣❤❛❧ ❛❞✈❛♥❝❡ ❬✹✷❪ ❛♥❞ ❡♥③②♠❛t✐❝ ❜r♦✇♥✐♥❣
❝❛✉s❡❞ ❛❢t❡r t✐ss✉❡ ❞❛♠❛❣❡ ❬✹✵❪✳ ❘❡✢❡❝t❛♥❝❡ ❜❛♥❞s ❛t ✹✺✶ ♥♠ ❢♦r s✉r❢❛❝❡ ❛♥❞
❛t ✾✺✵ ♥♠ ❢♦r ✐♥♥❡r t✐ss✉❡ ✇❡r❡ ❧❡ss ❛✛❡❝t❡❞ ❞✉r✐♥❣ t❤❡ ✐♥t❡r❛❝t✐♦♥ ❛♥❞ ❝♦✉❧❞ ❜❡
r❡❧❛t❡❞ t♦ t❤❡ ♠♦r♣❤♦❧♦❣✐❝❛❧ ♣r♦♣❡rt✐❡s ♦❢ r❡s♣❡❝t✐✈❡ t✐ss✉❡s✳
▲♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✐♥ s✉r❢❛❝❡ t✐ss✉❡ ♣r❡s❡♥t❡❞ ❤✐❣❤❡r ❞✐s❡❛s❡ s❡✈❡r✐t② t❤❛♥
❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✱ ✇❤✐❧❡ ✐♥ t❤❡ ✐♥♥❡r t✐ss✉❡ t❤❡ tr❡♥❞ ✇❛s ♦♣♣♦s✐t❡✳ ■♥
❛ ♣r❡✈✐♦✉s st✉❞② ♦♥ ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥s✱ ✐t ✇❛s ♦❜s❡r✈❡❞ ❤♦✇ ❘✳ s♦❧❛♥✐
❆● ✷✲✷■■■❇ ✐♥♦❝✉❧✉♠ ✇✐t❤ ❤✐❣❤❡r ❜❧❡♥❞✐♥❣ t✐♠❡ ♦r ♠♦r❡ st❛♥❞❛r❞✐③❡❞ ✐♥♦❝✉❧✉♠
❞❡♥s✐t✐❡s ♣r♦❞✉❝❡❞ s✉♣❡r✐♦r ✈❛❧✉❡s ♦❢ t❤❡ ❝♦✈❡r❡❞ ♠②❝❡❧✐❛❧ ❛r❡❛ ✐♥ P❉❆ ♠❡❞✐✉♠✳
❚❤❡ s❛♠❡ st✉❞② r❡✈❡❛❧❡❞ t❤❛t ✐♥ ❝♦♥❝❡♥tr❛t✐♦♥s ♦❢ ✷ ❛♥❞ ✽ ♠❣✴♠❧ ♦❢ ♠②❝❡❧✐✉♠✱
t❤❡ s❡✈❡r✐t② ♦❢ ❞✐s❡❛s❡ s❝♦r❡❞ ✐♥ ❘❘❈❘ r❛t✐♥❣ ✈❛❧✉❡s ✇❛s ❛❧s♦ ❤✐❣❤ ❛t ❡❧❡✈❛t❡❞
♠②❝❡❧✐✉♠ ❝♦♥❝❡♥tr❛t✐♦♥s ❬✹✸❪✳ ❯♥❢♦rt✉♥❛t❡❧②✱ ✐t ✐s ♥♦t ♣♦ss✐❜❧❡ t♦ ❝♦♠♣❛r❡ ❜♦t❤
✐♥✈❡st✐❣❛t✐♦♥s ❞✉❡ t♦ t❤❡ ❛❜s❡♥❝❡ ♦❢ ❝♦♥❝❡♥tr❛t✐♦♥ ✈❛❧✉❡s✳
❚❤❡ ❞❡♣t❤ ♦❢ ❞❛♠❛❣❡ t♦ t❤❡ ✐♥♥❡r t✐ss✉❡ ❛✛❡❝ts ♠♦r❡ s✉❣❛r ❜❡❡t ❧❡❛✈❡s t❤❛♥
s✉r❢❛❝❡ ❞❛♠❛❣❡ ❜❡❝❛✉s❡ ♦❢ t❤❡ ❛✛❡❝t❡❞ ✈❛s❝✉❧❛r s②st❡♠✳ ❊❛❝❤ ✈❛s❝✉❧❛r r✐♥❣ ✐s ✐♥
❞✐r❡❝t ❝♦♥♥❡❝t✐♦♥ ✇✐t❤ ❛ ❝❡rt❛✐♥ ♥✉♠❜❡r ♦❢ ❧❡❛✈❡s ❬✹✹❪✳ ❚❤✐s ❡①♣❧❛✐♥s ✇❤② ❙❱▼✲
♠♦❞❡❧s ❜❛s❡❞ ♦♥ ❧❡❛❢✲r❡✢❡❝t❛♥❝❡ ❞❛t❛ ❞❡t❡❝t❡❞ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❜❡❢♦r❡
❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s✳
❋✐♥❛❧❧②✱ ❞✉❡ t♦ t❤❡ ❝♦♥♥❡❝t✐♦♥ ♦❢ ✈❛s❝✉❧❛r s②st❡♠ ✇✐t❤ ❧❡❛✈❡s ❬✹✹❪✱ s❡❧❡❝t❡❞ ❜❛♥❞s
✐♥ ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ❛ss❡ss♠❡♥t s❤♦✉❧❞ ❜❡ r❡❧❛t❡❞ t♦ ❜✐♦❝❤❡♠✐❝❛❧ ❛♥❞ ♣❤②s✐♦❧♦❣✐❝❛❧
❝❤❛♥❣❡s ❝❛✉s❡❞ ❜② ❧❡s✐♦♥s ✐♥ t❤❡ ✈❛s❝✉❧❛r s②st❡♠✳ ❋♦r t❤✐s r❡❛s♦♥✱ ♣❛t❤♦❣❡♥s
t❤❛t ❛✛❡❝t t❤✐s ✉♥❞❡r❣r♦✉♥❞✲s②st❡♠ ✇✐t❤ ❛ ✈✐r✉❧❡♥❝❡ s✐♠✐❧❛r t♦ ❘✳ s♦❧❛♥✐ s❤♦✉❧❞
♣r♦❞✉❝❡ ❝♦♠♣❛r❛❜❧❡ s♣❡❝tr❛❧ ❝❤❛♥❣❡s✳
✺✹
✻ ❈♦♥❝❧✉s✐♦♥
❚❤✐s ✐♥✈❡st✐❣❛t✐♦♥ ✉s❡❞ t✐♠❡✲s❡r✐❡s ❛ss❡ss♠❡♥ts t♦ ❡✈❛❧✉❛t❡ t❤❡ ♣♦t❡♥t✐❛❧ ♦❢ ❤②✲
♣❡rs♣❡❝tr❛❧ s❡♥s♦rs t♦ ❞❡t❡❝t t❤❡ ♣❛t❤♦❣❡♥ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥ s✉❣❛r ❜❡❡t ✐♥
❛ s✐♥❣❧❡ ♣❧❛♥t s❝❛❧❡ ❛♥❞ ✉♥❞❡r ❝♦♥tr♦❧❧❡❞ ❝♦♥❞✐t✐♦♥s✳ ❚❤❡ r❡s✉❧ts ♦❢ t❤✐s st✉❞②
❝❛♥ ❜❡ ✉s❡❞ t♦ ❜❡tt❡r ✉♥❞❡rst❛♥❞ ♠♦❞✐✜❝❛t✐♦♥s ♦❢ s♣❡❝tr❛❧ s✐❣♥❛t✉r❡s ♦❢ ❧❡❛❢ ❛♥❞
❜❡❡t ❱■❙◆■❘✲✐♠❛❣❡s ❞✉r✐♥❣ ♣❧❛♥t✲♣❛t❤♦❣❡♥ ✐♥t❡r❛❝t✐♦♥s ❛♥❞ ❝❛♥ ❜❡ ✉s❡❞ ✐♥ ❢✉t✉r❡
st✉❞✐❡s t♦ s✉♣♣♦rt ♣r❡❝✐s✐♦♥ ❛❣r✐❝✉❧t✉r❡ ❛♥❞ ♣❧❛♥t ♣❤❡♥♦t②♣✐♥❣ ❢♦r ❝r♦♣ ♣r♦t❡❝t✐♦♥
♣✉r♣♦s❡s✳
• ❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ♠❡t❤♦❞s ✇❡r❡ ♣r♦♣♦s❡❞ t♦ ❡①tr❛❝t ❧❡❛❢✲ ❛♥❞ ❜❡❡t✲
s♣❡❝tr❛❧ ✐♥❢♦r♠❛t✐♦♥ ❢r♦♠ ❜❛❝❦❣r♦✉♥❞✱ r❡❝♦✈❡r✐♥❣ ♠♦st ♦❢ t❤❡ r❡❣✐♦♥ ♦❢ ✐♥✲
t❡r❡st ❢r♦♠ ✐♠❛❣❡s ♦❢ ❤✐❣❤❧② ❞✐s❡❛s❡❞ s❛♠♣❧❡s✳
• ❉✉r✐♥❣ ❞✐s❡❛s❡ ❞❡✈❡❧♦♣♠❡♥t✱ ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ✇❛s ❛✛❡❝t❡❞ ❛t ✻✵✵✲✼✵✵ ♥♠ ❛♥❞
✼✸✵✲✾✺✵ ♥♠✱ ✇✐t❤ r❡✢❡❝t❛♥❝❡ ♦❢ ❧♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❞❡❝r❡❛s✐♥❣ ❢❛st❡r
t❤❛♥ ✐♥ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✼✸✵✲✾✺✵ ♥♠✳
• ❇❡❡t r❡✢❡❝t❛♥❝❡ ❢r♦♠ t❤❡ s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡ s❤♦✇❡❞ ✐♥❞❡♣❡♥❞❡♥t ❝❤❛r✲
❛❝t❡r✐st✐❝s✳ ▲♦✇ ❝♦♥❝❡♥tr❛t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ❡①❤✐❜✐t❡❞ t❤❡ ♠♦st r❛♣✐❞ ❞❡✲
❝r❡❛s❡ ♦❢ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ✐♥ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ ✇❤✐❧❡ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ ❜❡❡ts
s❤♦✇❡❞ t❤❡ s❛♠❡ ❡✛❡❝t ✐♥ ✐♥♥❡r t✐ss✉❡✳
• ▲♦✇✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ✇❡r❡ ✐❞❡♥t✐✜❡❞ t✇♦ ❞❛②s ❜❡❢♦r❡ t❤❡ ✈✐s✉❛❧ r❛t✐♥❣✱
✇❤✐❧❡ ❤✐❣❤✲✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s t❤r❡❡ ❞❛②s ❜❡❢♦r❡✱ ❜② ✉s✐♥❣ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡
❞❛t❛ ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ❧❡❛❢ ✐♠❛❣❡s✳
• Pr❡❝✐s❡ ❤②♣❡rs♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t r❛t✐♥❣ ✐s ♣♦ss✐❜❧❡ ❢♦r s✉r❢❛❝❡ ❛♥❞
✐♥♥❡r t✐ss✉❡ s✉♣♣♦rt❡❞ ❜② ❜❡❡t r❡✢❡❝t❛♥❝❡ ❛t ✼✶✶ ♥♠✳
✺✺
✼ ❆❜str❛❝t
❚❤❡ s♦✐❧✲❜♦r♥❡ ❢✉♥❣❛❧ ♣❛t❤♦❣❡♥ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ❛♥❛st♦♠♦s✐s ❣r♦✉♣ ✷✲✷■■■❇
✐s ♦♥❡ ♦❢ t❤❡ ♠♦st ❝r✐t✐❝❛❧ ❝♦♥str❛✐♥ts ✐♥ s✉❣❛r ❜❡❡t ♣r♦❞✉❝t✐♦♥ ✇♦r❧❞✇✐❞❡✳ ■♥
s✉❣❛r ❜❡❡t✱ ❝r♦✇♥ ❛♥❞ r♦♦t r♦t ❝❛✉s❡❞ ❜② t❤✐s ❢✉♥❣✉s ❛r❡ tr❛❞✐t✐♦♥❛❧❧② r❡❝♦❣♥✐s❡❞
❧❛t❡r ✐♥ t❤❡ ❝r♦♣♣✐♥❣ s❡❛s♦♥ ❜② r❛t✐♥❣ t❤❡ ❛❜♦✈❡❣r♦✉♥❞ s②♠♣t♦♠s✳ ❚♦ ❡✈❛❧✉✲
❛t❡ t❤❡ ❞❡t❡❝t✐♦♥ ❛♥❞ q✉❛♥t✐✜❝❛t✐♦♥ ♦❢ t❤❡ ❞✐s❡❛s❡✱ ❡✐❣❤t✲✇❡❡❦s✲♦❧❞ ♣❧❛♥ts ✇❡r❡
✐♥♦❝✉❧❛t❡❞ ✇✐t❤ t❤❡ ♣❛t❤♦❣❡♥ ✐♥ ❛ ❧♦✇ ❛♥❞ ❤✐❣❤ ❝♦♥❝❡♥tr❛t✐♦♥✳ ❙✉❜s❡q✉❡♥t❧②✱
❱■❙✲◆■❘ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣❡s ✭✹✵✵✲✶✵✵ ♥♠✮ ❢r♦♠ ❧❡❛❢ ❛♥❞ ❜❡❡t ✇❡r❡ ♦❜t❛✐♥❡❞✳
❚❤❡ ❧❡❛❢ ✐♠❛❣❡s ✇❡r❡ t❛❦❡♥ ✐♥ t✐♠❡✲s❡r✐❡s✱ ❜❡s✐❞❡s t❤❛t✱ ❜❡❡t ✐♠❛❣❡s ✇❡r❡ t❛❦❡♥
❛❢t❡r ❤❛r✈❡st✐♥❣✳ ❘❡✢❡❝t❛♥❝❡ ✐♥❢♦r♠❛t✐♦♥ ✇❛s ♦❜t❛✐♥❡❞ ❜② ❡st❛❜❧✐s❤✐♥❣ ❛♥ ✐♠✲
❛❣❡ ♣r♦❝❡ss✐♥❣ ♠❡t❤♦❞♦❧♦❣②✳ ❋r♦♠ ❧❡❛❢✲✐♠❛❣❡s✱ ✐♠♣♦rt❛♥t ❜❛♥❞s ❢♦r ❘❤✐③♦❝t♦♥✐❛
❞❡t❡❝t✐♦♥ ✇❡r❡ s❡❧❡❝t❡❞ ❜② ✉s✐♥❣ t❤❡ Pr✐♥❝✐♣❛❧ ❈♦♠♣♦♥❡♥t ❆♥❛❧②s✐s ✭P❈❆✮❀ ❛♥❞
t♦ ❝❧❛ss✐❢② ❞✐s❡❛s❡❞ ♣❧❛♥ts t❤❡ ♠❛❝❤✐♥❡ ❧❡❛r♥✐♥❣ t❡❝❤♥✐q✉❡✱ ❙✉♣♣♦rt ❱❡❝t♦r ▼❛✲
❝❤✐♥❡ ✭❙❱▼✮✳ ❋r♦♠ ❜❡❡t✲✐♠❛❣❡s✱ ❛ s❡❣♠❡♥t❛t✐♦♥ ❛♥❞ ❤❡❛❧t❤ ✐♥❞❡① ✇❛s ♣r♦♣♦s❡❞
t♦ ♣❡r❢♦r♠ ❤②♣❡rs♣❡❝tr❛❧ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t ❝❧❛ss✐✜❝❛t✐♦♥✳
❚❤❡ r❡s✉❧ts s❤♦✇❡❞ t❤❛t ❧❡❛❢ r❡✢❡❝t❛♥❝❡ ✐s ❛✛❡❝t❡❞ ✐♥ t❤❡ r❡❣✐♦♥s ✻✵✵✲✼✵✵ ♥♠
❛♥❞ ✼✸✵✲✾✺✵ ♥♠✱ ❛♥❞ ✐t ✐s ♣♦ss✐❜❧❡ t♦ ❞❡t❡❝t t❤❡ ❞✐s❡❛s❡ ❜❡t✇❡❡♥ t✇♦ ❛♥❞ t❤r❡❡
❞❛②s ❜❡❢♦r❡ ✈✐s✉❛❧ s②♠♣t♦♠s ❛♣♣❡❛r ❜② ✉s✐♥❣ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❞❛t❛ ♦❢ ❤②♣❡r✲
s♣❡❝tr❛❧✳ ❇❡❡t r❡✢❡❝t❛♥❝❡ ♣r❡s❡♥t❡❞ ✐♥❞❡♣❡♥❞❡♥t ❜❡❤❛✈✐♦✉r ✐♥ s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r
t✐ss✉❡✱ ❛♥❞ ❛ ♣r❡❝✐s❡ ❤②♣❡rs♣❡❝tr❛❧ r❛t✐♥❣ ✐s ♣♦ss✐❜❧❡ ❢♦r s✉r❢❛❝❡ ❛♥❞ ✐♥♥❡r t✐ss✉❡
s✉♣♣♦rt❡❞ ❜② ❜❡❡t r❡✢❡❝t❛♥❝❡ ❛t ✼✶✶ ♥♠✳
✺✻
❇✐❜❧✐♦❣r❛♣❤②
❬✶❪
❬✷❪
❈♦♦❦❡
❙❝♦tt
✱ ❉✳ ❆✳ ❀
✱ ❘✳ ❑✳✿ ❚❤❡ ❙✉❣❛r ❇❡❡t ❈r♦♣✳ ❉♦r❞r❡❝❤t ✿ ❙♣r✐♥❣❡r
◆❡t❤❡r❧❛♥❞s✱ ✶✾✾✸ ✭❲♦r❧❞ ❈r♦♣ ❙❡r✐❡s✮✳ ✕ ■❙❇◆ ✾✼✽✕✾✹✕✵✵✾✕✵✸✼✸✕✾
❙♠✐t✱ ❆✳ ❇✳ ❀ ❏♦♥❣❡♥❡❡❧✱ ❘✳ ❆✳ ❀ Pr✐♥s✱ ❍✳ ❀ ❏❛❣❡r✱ ❏✳ ❍✳ ❀ ❍❡♥♥❡♥✱
❲✳❍✳●✳❏✳✿
■♠♣❛❝t ♦❢ ❝♦✉♣❧❡❞ ❊❯ s✉♣♣♦rt ❢♦r s✉❣❛r ❜❡❡t ❣r♦✇✐♥❣✿ ▼♦r❡
♣r♦❞✉❝t✐♦♥✱ ❧♦✇❡r ♣r✐❝❡s✳ ❲❛❣❡♥✐♥❣❡♥ ✿ ❲❛❣❡♥✐♥❣❡♥ ❊❝♦♥♦♠✐❝ ❘❡s❡❛r❝❤✱
✷✵✶✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✽✶✼✹✴✹✸✵✵✸✾✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳
✶✽✶✼✹✴✹✸✵✵✸✾
❬✸❪
▼❛r❧❛♥❞❡r✱ ❇✳ ❀ ❍♦❢❢♠❛♥♥✱ ❈✳ ❀ ❑♦❝❤✱ ❍✳✲❏✳ ❀ ▲❛❞❡✇✐❣✱ ❊✳ ❀ ▼❡r❦❡s✱
❘✳ ❀ P❡t❡rs❡♥✱ ❏✳ ❀ ❙t♦❝❦❢✐s❝❤✱ ◆✳✿ ❊♥✈✐r♦♥♠❡♥t❛❧ ❙✐t✉❛t✐♦♥ ❛♥❞ ❨✐❡❧❞
P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❙✉❣❛r ❇❡❡t ❈r♦♣ ✐♥ ●❡r♠❛♥②✿ ❍❡❛❞✐♥❣ ❢♦r ❙✉st❛✐♥❛❜❧❡
❉❡✈❡❧♦♣♠❡♥t✳ ■♥✿ ❏♦✉r♥❛❧ ♦❢ ❆❣r♦♥♦♠② ❛♥❞ ❈r♦♣ ❙❝✐❡♥❝❡ ✶✽✾ ✭✷✵✵✸✮✱ ❛✉❣✱
◆r✳ ✹✱ ✷✵✶✕✷✷✻✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✹✻✴❥✳✶✹✸✾✲✵✸✼①✳✷✵✵✸✳✵✵✵✸✺✳
①✳ ✕ ❉❖■ ✶✵✳✶✵✹✻✴❥✳✶✹✸✾✕✵✸✼①✳✷✵✵✸✳✵✵✵✸✺✳①
❬✹❪
❲♦❧❢✱ P❋❏ ❀ ❱❡rr❡❡t✱ ❏❆✿
❬✺❪
❏❛❝♦❜s❡♥✱ ❇❛rr② ❏✳✿
❆♥ ✐♥t❡❣r❛t❡❞ ♣❡st ♠❛♥❛❣❡♠❡♥t s②st❡♠ ✐♥
●❡r♠❛♥② ❢♦r t❤❡ ❝♦♥tr♦❧ ♦❢ ❢✉♥❣❛❧ ❧❡❛❢ ❞✐s❡❛s❡s ✐♥ s✉❣❛r ❜❡❡t✿ ❚❤❡ ■P▼
s✉❣❛r ❜❡❡t ♠♦❞❡❧✳ ■♥✿ P❧❛♥t ❉✐s❡❛s❡ ✽✻ ✭✷✵✵✷✮✱ ◆r✳ ✹✱ ❙✳ ✸✸✻✕✸✹✹
❘♦♦t r♦t ❞✐s❡❛s❡s ♦❢ s✉❣❛r ❜❡❡t✳ ■♥✿ ❩❜♦r♥✐❦ ▼❛t✐❝❡
✭✷✵✵✻✮✱ ◆r✳ ✶✶✵✱ ❙✳ ✾✕✶✾
sr♣s❦❡ ③❛ ♣r✐r♦❞♥❡ ♥❛✉❦❡
❬✻❪
●❛❧❧✐❛♥✱ ❏✳✿
❬✼❪
❲✐♥❞❡❧s✱ ❈❛r♦❧ ❊✳ ❀ ❑✉③♥✐❛✱ ❘✐t❛ ❆✳ ❀ ❈❛❧❧✱ ❏❛❝❦✿
❬✽❪
❋ü❤r❡r ■t❤✉rr❛rt✱
❬✾❪
❆❣r✐♦s✱ ●❡♦r❣❡ ◆✳✿
❬✶✵❪
❇❛rt❤♦❧♦♠ä✉s✱ ❆♥✐❦❛ ❀ ▼✐tt❧❡r✱ ❙t❡❢❛♥ ❀ ▼är❧ä♥❞❡r✱ ❇❡r♥✇❛r❞ ❀
❱❛rr❡❧♠❛♥♥✱ ▼❛r❦✿ ❈♦♥tr♦❧ ♦❢ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥ ❙✉❣❛r ❇❡❡t ❛♥❞
▼❛♥❛❣❡♠❡♥t ♦❢ ❙✉❣❛r❜❡❡t ❘♦♦t ❘♦ts✳ ✭✷✵✵✶✮✳ ❤tt♣✿✴✴✇✇✇✳
❝❛❧s✳✉✐❞❛❤♦✳❡❞✉✴❡❞❝♦♠♠✴♣❞❢✴P◆❲✴P◆❲✵✺✸✽✳♣❞❢
❈❤❛r❛❝t❡r✐③❛t✐♦♥ ❛♥❞
♣❛t❤♦❣❡♥✐❝✐t② ♦❢ ❚❤❛♥❛t❡♣❤♦r✉s ❝✉❝✉♠❡r✐s ❢r♦♠ s✉❣❛r ❜❡❡t ✐♥ ▼✐♥♥❡s♦t❛✳
■♥✿ P❧❛♥t ❞✐s❡❛s❡ ✽✶ ✭✶✾✾✼✮✱ ◆r✳ ✸✱ ❙✳ ✷✹✺✕✷✹✾
▼❛rí❛ ❊✳✿
❆✉s ❞❡♠ ■♥st✐t✉t ❢ür ❩✉❝❦❡rrü❜❡♥✲
❢♦rs❝❤✉♥❣✱ ●ött✐♥❣❡♥✳ ❇❞✳ ✶✽✿ ◆❛❝❤✇❡✐s ✉♥❞ ❈❤❛r❛❦t❡r✐s✐❡r✉♥❣ ✈♦♥ ❘❤✐③♦❝✲
t♦♥✐❛ s♦❧❛♥✐ ✭❑Ü❍◆✮✱ ❞❡♠ ❊rr❡❣❡r ❞❡r s♣ät❡♥ ❘ü❜❡♥❢ä✉❧❡ ❛♥ ❩✉❝❦❡rrü❜❡♥ ✳
✶✳ ❆✉✢✳ ●ött✐♥❣❡♥ ✿ ❈✉✈✐❧❧✐❡r✱ ✷✵✵✸✳ ✕ ■❙❇◆ ✾✼✽✸✽✾✽✼✸✾✶✺✸
P❧❛♥t ♣❛t❤♦❧♦❣②✳
✺✳ ❡❞✳✱ ✹✳ ♣r✐♥t✳ ❆♠st❡r❞❛♠ ✿ ❊❧s❡✈✐❡r
❆❝❛❞✳ Pr❡ss✱ ✷✵✵✾✱ ✷✵❬✵✾✳ ✕ ■❙❇◆ ✵✶✷✵✹✹✺✻✺✹
❊✛❡❝t ♦❢ ❋✉♥❣✐❝✐❞❡ ❆♣♣❧✐❝❛t✐♦♥ ❛♥❞ P❧❛♥t ❈✉❧t✐✈❛r ♦♥ ■♥♦❝✉❧✉♠ P♦t❡♥t✐❛❧ ✐♥
t❤❡ ❙♦✐❧✳ ■♥✿ P❧❛♥t ❉✐s❡❛s❡ ✶✵✶ ✭✷✵✶✼✮✱ ◆r✳ ✻✱ ❙✳ ✾✹✶✕✾✹✼✳ ✕ ■❙❙◆ ✵✶✾✶✕✷✾✶✼
✺✼
❇✐❜❧✐♦❣r❛♣❤②
❬✶✶❪
❬✶✷❪
❬✶✸❪
❙♥❡❤✱
❇❛r✉❝❤✿ ❘❤✐③♦❝t♦♥✐❛ s♣❡❝✐❡s✿ ❚❛①♦♥♦♠②✱ ♠♦❧❡❝✉❧❛r ❜✐♦❧♦❣②✱ ❡❝♦❧♦❣②✱
♣❛t❤♦❧♦❣②✱ ❛♥❞ ❞✐s❡❛s❡ ❝♦♥tr♦❧ ✴ ❡❞✐t❡❞ ❜② ❇❛r✉❝❤ ❙♥❡❤ ✳✳✳ ❬❡t ❛❧✳❪✳ ❉♦r❞r❡❝❤t
❛♥❞ ▲♦♥❞♦♥ ✿ ❑❧✉✇❡r ❆❝❛❞❡♠✐❝✱ ✶✾✾✻✳ ✕ ■❙❇◆ ✵✼✾✷✸✸✻✹✹✺
♥♦s✐s✳
◆❛r❛②❛♥❛s❛♠②✱
P✳✿ ▼✐❝r♦❜✐❛❧ ♣❧❛♥t ♣❛t❤♦❣❡♥s✲❞❡t❡❝t✐♦♥ ❛♥❞ ❞✐s❡❛s❡ ❞✐❛❣✲
❉♦r❞r❡❝❤t ✿ ❙♣r✐♥❣❡r✱ ✷✵✶✶✳ ✕ ■❙❇◆ ✾✼✽✾✵✹✽✶✾✼✸✺✹
❩❡♥s
❀
■r❡♥❡
❀
❙t❡✐♥❡r
❀
❯❧r✐❦❡
❀
❉❡❤♥❡
❀
❍❡✐♥③✲❲✿
❆✉❢tr❡t❡♥✱
❈❤❛r❛❦t❡r✐s✐❡r✉♥❣ ✉♥❞ ❑♦♥tr♦❧❧❡ ❞❡s ❊rr❡❣❡rs ❞❡r ❘ü❜❡♥❢ä✉❧❡✱ ❘❤✐③♦❝t♦✲
❤tt♣s✿✴✴❜♦♥♥❞♦❝✳✉❧❜✳✉♥✐✲❜♦♥♥✳❞❡✴
①♠❧✉✐✴❤❛♥❞❧❡✴✷✵✳✺✵✵✳✶✶✽✶✶✴✶✶✼✻✳ ❱❡rs✐♦♥✿ ✷✵✵✷
♥✐❛ s♦❧❛♥✐✱ ✐♥ ◆♦r❞r❤❡✐♥✲❲❡st❢❛❧❡♥✳
❬✶✹❪
❲✐♥❞❡❧s✱
❈ ❀ ▼❛❝r❛❡✱ ■❛♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ❢♦r ❉❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦✲
♥✐❛ ❈r♦✇♥ ❛♥❞ ❘♦♦t ❘♦t ✐♥ ❙✉❣❛r ❇❡❡t ❛♥❞ t❤❡ ■♠♣❛❝t ♦❢ t❤❡ ❉✐s❡❛s❡ ♦♥
❈❤❧♦r♦♣❤②❧❧ ❈♦♥t❡♥t✳ ✭✷✵✶✵✮✱ ✶✵
❬✶✺❪
❙t❡❢❛♥ ❀ ❑✉s❦❛✱ ▼❛t❤❡✉s ❚✳ ❀ ❇♦❤♥❡♥❦❛♠♣✱ ❉❛✈✐❞ ❀ ❇r✉❣✲
❆♥♥❛ ❀ ❆❧✐s❛❛❝✱ ❊❧✐❛s ❀ ❲❛❤❛❜③❛❞❛✱ ▼✐r✇❛❡s ❀ ❇❡❤♠❛♥♥✱ ❏❛♥ ❀
▼❛❤❧❡✐♥✱ ❆♥♥❡✲❑❛tr✐♥✿ ❇❡♥❡✜ts ♦❢ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ❢♦r ♣❧❛♥t ❞✐s✲
❡❛s❡ ❞❡t❡❝t✐♦♥ ❛♥❞ ♣❧❛♥t ♣r♦t❡❝t✐♦♥✿ ❆ t❡❝❤♥✐❝❛❧ ♣❡rs♣❡❝t✐✈❡✳ ■♥✿ ❏♦✉r✲
♥❛❧ ♦❢ P❧❛♥t ❉✐s❡❛s❡s ❛♥❞ Pr♦t❡❝t✐♦♥ ✶✷✺ ✭✷✵✶✽✮✱ ◆r✳ ✶✱ ❙✳ ✺✕✷✵✳ ❤tt♣✿
✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✵✼✴s✹✶✸✹✽✲✵✶✼✲✵✶✷✹✲✻✳ ✕ ❉❖■ ✶✵✳✶✵✵✼✴s✹✶✸✹✽✕✵✶✼✕
✵✶✷✹✕✻✳ ✕ ■❙❙◆ ✶✽✻✶✕✸✽✷✾
❬✶✻❪
❇♦❝❦✱
❈✳ ❍✳ ❀ P♦♦❧❡✱ ●✳ ❍✳ ❀ P❛r❦❡r✱ P✳ ❊✳ ❀ ●♦tt✇❛❧❞✱ ❚✳ ❘✳✿
P❧❛♥t ❉✐s❡❛s❡ ❙❡✈❡r✐t② ❊st✐♠❛t❡❞ ❱✐s✉❛❧❧②✱ ❜② ❉✐❣✐t❛❧ P❤♦t♦❣r❛♣❤② ❛♥❞
■♠❛❣❡ ❆♥❛❧②s✐s✱ ❛♥❞ ❜② ❍②♣❡rs♣❡❝tr❛❧ ■♠❛❣✐♥❣✳ ■♥✿ ❈r✐t✐❝❛❧ ❘❡✈✐❡✇s ✐♥
P❧❛♥t ❙❝✐❡♥❝❡s ✷✾ ✭✷✵✶✵✮✱ ◆r✳ ✷✱ ✺✾✕✶✵✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✵✴
✵✼✸✺✷✻✽✶✵✵✸✻✶✼✷✽✺✳ ✕ ❉❖■ ✶✵✳✶✵✽✵✴✵✼✸✺✷✻✽✶✵✵✸✻✶✼✷✽✺
❬✶✼❪
❇❡❤♠❛♥♥✱
❑❡❧✈✐♥ ❀ ❊♠✐♥✱ ❉③❤❛♥❡r ❀ ❇❡♥♥❡rt③✱ ❙✐✲
❙❤✐③✉❡ ❀ ❚❤♦♠❛s✱ ❙t❡❢❛♥ ❀ ❇♦❤♥❡♥❦❛♠♣✱ ❉❛✈✐❞ ❀
❑✉s❦❛✱ ▼❛t❤❡✉s ❚✳ ❀ ❏✉ss✐❧❛✱ ❏♦✉♥✐ ❀ ❙❛❧♦✱ ❍❛rr✐ ❀ ▼❛❤❧❡✐♥✱ ❆♥♥❡✲
❑❛tr✐♥ ❀ ❘❛s❝❤❡r✱ ❯✇❡✿ ❙♣❡❝✐♠ ■◗✿ ❊✈❛❧✉❛t✐♦♥ ♦❢ ❛ ◆❡✇✱ ▼✐♥✐❛t✉r✐③❡❞
❍❛♥❞❤❡❧❞ ❍②♣❡rs♣❡❝tr❛❧ ❈❛♠❡r❛ ❛♥❞ ■ts ❆♣♣❧✐❝❛t✐♦♥ ❢♦r P❧❛♥t P❤❡♥♦t②♣✐♥❣
❛♥❞ ❉✐s❡❛s❡ ❉❡t❡❝t✐♦♥✳ ■♥✿ ❙❡♥s♦rs ✭❇❛s❡❧✱ ❙✇✐t③❡r❧❛♥❞✮ ✶✽ ✭✷✵✶✽✮✱ ◆r✳ ✷✳
❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✸✸✾✵✴s✶✽✵✷✵✹✹✶✳ ✕ ❉❖■ ✶✵✳✸✸✾✵✴s✶✽✵✷✵✹✹✶
❬✶✽❪
▼❛❤❧❡✐♥✱ ❆✳✲❑✳ ❀ ❙t❡✐♥❡r✱ ❯✳ ❀ ❉❡❤♥❡✱ ❍✳✲❲✳ ❀ ❖❡r❦❡✱ ❊✳✲❈✳✿ ❙♣❡❝✲
tr❛❧ s✐❣♥❛t✉r❡s ♦❢ s✉❣❛r ❜❡❡t ❧❡❛✈❡s ❢♦r t❤❡ ❞❡t❡❝t✐♦♥ ❛♥❞ ❞✐✛❡r❡♥t✐❛t✐♦♥ ♦❢
❞✐s❡❛s❡s✳ ■♥✿ Pr❡❝✐s✐♦♥ ❆❣r✐❝✉❧t✉r❡ ✶✶ ✭✷✵✶✵✮✱ ◆r✳ ✹✱ ❙✳ ✹✶✸✕✹✸✶✳ ❤tt♣✿
✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✵✼✴s✶✶✶✶✾✲✵✶✵✲✾✶✽✵✲✼✳ ✕ ❉❖■ ✶✵✳✶✵✵✼✴s✶✶✶✶✾✕✵✶✵✕
✾✶✽✵✕✼✳ ✕ ■❙❙◆ ✶✸✽✺✕✷✷✺✻
❬✶✾❪
❍✳ ❀ ❈❤❡♥✱ ❏✳ ▼✳✿ ▲❡❛❢ P✐❣♠❡♥t ❈♦♥t❡♥t✳ ❱❡rs✐♦♥✿ ✷✵✶✽✳ ❤tt♣✿✴✴
❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❇✾✼✽✲✵✲✶✷✲✹✵✾✺✹✽✲✾✳✶✵✺✹✼✲✵✳ ■♥✿ ❈♦♠♣r❡❤❡♥s✐✈❡
❘❡♠♦t❡ ❙❡♥s✐♥❣✳ ❊❧s❡✈✐❡r✱ ✷✵✶✽✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴❇✾✼✽✕✵✕✶✷✕✹✵✾✺✹✽✕✾✳✶✵✺✹✼✕
✵✳ ✕ ■❙❇◆ ✾✼✽✵✶✷✽✵✸✷✷✶✸✱ ❙✳ ✶✶✼✕✶✹✷
❬✷✵❪
❍✐❧❧♥❤ütt❡r✱
❚❤♦♠❛s✱
❣❡r✱
♠♦♥ ❀
❏❛♥ ❀
❆❝❡❜r♦♥✱
▼❛ts✉❜❛r❛✱
❈r♦❢t✱
❈✳ ❀ ▼❛❤❧❡✐♥✱ ❆✳✲❑✳ ❀ ❙✐❦♦r❛✱ ❘✳ ❆✳ ❀ ❖❡r❦❡✱ ❊✳✲❈✳✿
❘❡♠♦t❡ s❡♥s✐♥❣ t♦ ❞❡t❡❝t ♣❧❛♥t str❡ss ✐♥❞✉❝❡❞ ❜② ❍❡t❡r♦❞❡r❛ s❝❤❛❝❤t✐✐ ❛♥❞
✺✽
❇✐❜❧✐♦❣r❛♣❤②
❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ✐♥ s✉❣❛r ❜❡❡t ✜❡❧❞s✳ ■♥✿ ❋✐❡❧❞ ❈r♦♣s ❘❡s❡❛r❝❤ ✶✷✷ ✭✷✵✶✶✮✱
◆r✳ ✶✱ ❙✳ ✼✵✕✼✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❥✳❢❝r✳✷✵✶✶✳✵✷✳✵✵✼✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴❥✳❢❝r✳✷✵✶✶✳✵✷✳✵✵✼✳ ✕ ■❙❙◆ ✵✸✼✽✹✷✾✵
❬✷✶❪
▼❛❤❧❡✐♥✱ ❆♥♥❡✲❑❛tr✐♥✿
❬✷✷❪
❍✐❧❧♥❤ütt❡r✱ ❈❤r✐st✐❛♥ ❀ ▼❛❤❧❡✐♥✱ ❆♥♥❡✲❑❛t❤r✐♥ ❀ ❙✐❦♦r❛✱ ❘✐❝❤❛r❞ ❆✳
❀ ❖❡r❦❡✱ ❊r✐❝❤✲❈❤r✐st✐❛♥✿ ❯s❡ ♦❢ ✐♠❛❣✐♥❣ s♣❡❝tr♦s❝♦♣② t♦ ❞✐s❝r✐♠✐♥❛t❡
P❧❛♥t ❉✐s❡❛s❡ ❉❡t❡❝t✐♦♥ ❜② ■♠❛❣✐♥❣ ❙❡♥s♦rs ✕ P❛r✲
❛❧❧❡❧s ❛♥❞ ❙♣❡❝✐✜❝ ❉❡♠❛♥❞s ❢♦r Pr❡❝✐s✐♦♥ ❆❣r✐❝✉❧t✉r❡ ❛♥❞ P❧❛♥t P❤❡♥♦t②♣✐♥❣✳
■♥✿ P❧❛♥t ❉✐s❡❛s❡ ✶✵✵ ✭✷✵✶✻✮✱ ◆r✳ ✷✱ ❙✳ ✷✹✶✕✷✺✶✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳
✶✵✾✹✴P❉■❙✲✵✸✲✶✺✲✵✸✹✵✲❋❊✳ ✕ ❉❖■ ✶✵✳✶✵✾✹✴P❉■❙✕✵✸✕✶✺✕✵✸✹✵✕❋❊✳ ✕ ■❙❙◆
✵✶✾✶✕✷✾✶✼
s②♠♣t♦♠s ❝❛✉s❡❞ ❜② ❍❡t❡r♦❞❡r❛ s❝❤❛❝❤t✐✐ ❛♥❞ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ♦♥ s✉❣❛r
❜❡❡t✳ ■♥✿ Pr❡❝✐s✐♦♥ ❆❣r✐❝✉❧t✉r❡ ✶✸ ✭✷✵✶✷✮✱ ◆r✳ ✶✱ ❙✳ ✶✼✕✸✷✳ ❤tt♣✿✴✴❞①✳❞♦✐✳
♦r❣✴✶✵✳✶✵✵✼✴s✶✶✶✶✾✲✵✶✶✲✾✷✸✼✲✷✳ ✕ ❉❖■ ✶✵✳✶✵✵✼✴s✶✶✶✶✾✕✵✶✶✕✾✷✸✼✕✷✳ ✕
■❙❙◆ ✶✸✽✺✕✷✷✺✻
❘❡②♥♦❧❞s ❀ ❲✐♥❞❡❧s✱ ❈ ❀ ▼❛❝r❛❡✱ ■❛♥ ❀ ▲❛❣✉❡tt❡✱ ❙♦✐③✐❦✿
❬✷✸❪
❍②♣❡rs♣❡❝✲
tr❛❧ r❡♠♦t❡ s❡♥s✐♥❣ ❢♦r ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ ❝r♦✇♥ ❛♥❞ r♦♦t r♦t ✐♥ s✉❣❛r
❜❡❡t✳ ■♥✿ P❤②t♦♣❛t❤♦❧♦❣② ✾✾ ✭✷✵✵✾✮✱ ✵✶✱ ❙✳ s✶✵✽
❬✷✹❪
❘❡②♥♦❧❞s✱
▲❛❣✉❡tt❡✱
❬✷✺❪
❈❤❛♥❞❛✱ ❆s❤♦❦ ❀ ▼❛❝r❛❡✱ ■❛♥ ❀ ❇❛❦❡r✱ ❚✐♠♦t❤② ❀ ❘ ❇r❛♥t♥❡r✱ ❏❛s♦♥
❀ ❉✉❞②❝❤❛✱ ◆✐❝♦❧❡✿ ❘❊▼❖❚❊ ❙❊◆❙■◆● ❋❖❘ ❉❊❚❊❈❚■❖◆ ❖❋ ❘❍■✲
●r❡❣♦r② ❏✳ ❀ ❲✐♥❞❡❧s✱ ❈❛r♦❧ ❊✳ ❀ ▼❛❝❘❛❡✱ ■❛♥ ❱✳ ❀
❙♦✐③✐❦✿ ❘❡♠♦t❡ s❡♥s✐♥❣ ❢♦r ❛ss❡ss✐♥❣ ❘❤✐③♦❝t♦♥✐❛ ❝r♦✇♥ ❛♥❞
r♦♦t r♦t s❡✈❡r✐t② ✐♥ s✉❣❛r ❜❡❡t✳ ■♥✿ Pr♦❝❡❡❞✐♥❣s ♦❢ ✸✻t❤ ❇✐❡♥♥✐❛❧ ▼❡❡t✐♥❣✱
❆❙❙❇❚✱ ♠❛r ✷✵✶✶
❩❖❈❚❖◆■❆ ❈❘❖❲◆ ❆◆❉ ❘❖❖❚ ❘❖❚ ❖❋ ❙❯●❆❘❇❊❊❚✳ ✹✽ ✭✷✵✶✽✮✱
✵✶
❬✷✻❪
❬✷✼❪
❲✐♥♥❡r✱ ❈ ❀ ❇ür❝❦②✱ ❑✿ ❱❡rs✉❝❤❡ ③✉r ❇❡❞❡✉t✉♥❣ ❞❡s ◆ä❤rst♦✛❛♥❣❡❜♦t❡s
❢ür ❞✐❡ ◗✉❛❧✐tät ❞❡r ❩✉❝❦❡rrü❜❡✳ ■✳ ▼❛❦r♦♥ä❤rst♦✛❡ ✭●❡❢äÿ✈❡rs✉❝❤❡✮✳ ■♥✿
❩✉❝❦❡r ✸✵ ✭✶✾✼✼✮✱ ✵✶✱ ❙✳ ✺✽✶✕✺✽✾
❚✉s③②♥s❦✐✱ ❏❛r❡❦✿
❝❛❚♦♦❧s✿ ❚♦♦❧s✿ ♠♦✈✐♥❣ ✇✐♥❞♦✇ st❛t✐st✐❝s✱ ●■❋✱ ❇❛s❡✻✹✱
✱ ✷✵✶✽✳ ❤tt♣s✿✴✴❈❘❆◆✳❘✲♣r♦❥❡❝t✳♦r❣✴♣❛❝❦❛❣❡❂❝❛❚♦♦❧s✳
✕ ❘ ♣❛❝❦❛❣❡ ✈❡rs✐♦♥ ✶✳✶✼✳✶✳✶
❘❖❈ ❆❯❈✱ ❡t❝✳
❬✷✽❪
❙✉♥✱ ❉❛✲❲❡♥✿
❬✷✾❪
s✐❣♥❛❧ ❞❡✈❡❧♦♣❡rs✿
❬✸✵❪
●♦✇❡♥✱ ❆✳❆✳✿
✳
❍②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ ❢♦r ❢♦♦❞ q✉❛❧✐t② ❛♥❛❧②s✐s ❛♥❞ ❝♦♥tr♦❧
❊❧s❡✈✐❡r✱ ✷✵✶✵
✱ ✷✵✶✹✳ ❤tt♣✿✴✴r✲❢♦r❣❡✳
s✐❣♥❛❧✿ ❙✐❣♥❛❧ ♣r♦❝❡ss✐♥❣
r✲♣r♦❥❡❝t✳♦r❣✴♣r♦❥❡❝ts✴s✐❣♥❛❧✴
◆■❘ ❍②♣❡rs♣❡❝tr❛❧ ■♠❛❣❡ ❆♥❛❧②s✐s ❯s✐♥❣ ❘✳ P❛rt ✹✿ Pr❡✲
❚r❡❛t♠❡♥ts ❛♥❞ P❛rt✐❛❧ ▲❡❛st ❙q✉❛r❡s ❉✐s❝r✐♠✐♥❛♥t ❆♥❛❧②s✐s✳ ■♥✿ ◆■❘ ♥❡✇s
✷✺ ✭✷✵✶✹✮✱ ❛✉❣✱ ◆r✳ ✺✱ ✷✾✕✸✶✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✷✺✺✴♥✐r♥✳✶✹✻✸✳ ✕
❉❖■ ✶✵✳✶✷✺✺✴♥✐r♥✳✶✹✻✸
✺✾
❇✐❜❧✐♦❣r❛♣❤②
❬✸✶❪
▼♦❣❤✐♠✐✱
❆❧✐ ❀ ❨❛♥❣✱ ❈❡ ❀ ▼✐❧❧❡r✱ ▼❛r✐s❛ ❊✳ ❀ ❑✐❛♥✐❛♥✱ ❙❤❛❤r②❛r ❋✳ ❀
▼❛r❝❤❡tt♦✱ P❡t❡r ▼✳✿ ❆ ◆♦✈❡❧ ❆♣♣r♦❛❝❤ t♦ ❆ss❡ss ❙❛❧t ❙tr❡ss ❚♦❧❡r❛♥❝❡
✐♥ ❲❤❡❛t ❯s✐♥❣ ❍②♣❡rs♣❡❝tr❛❧ ■♠❛❣✐♥❣✳ ■♥✿ ❋r♦♥t✐❡rs ✐♥ ♣❧❛♥t s❝✐❡♥❝❡ ✾
✭✷✵✶✽✮✱ ❙✳ ✶✶✽✷✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✸✸✽✾✴❢♣❧s✳✷✵✶✽✳✵✶✶✽✷✳ ✕ ❉❖■
✶✵✳✸✸✽✾✴❢♣❧s✳✷✵✶✽✳✵✶✶✽✷
❬✸✷❪
❏❡❞ ❲✐♥❣✱ ▼❛① ❑✉❤♥✳ ❈✳ ❀ ❲❡st♦♥✱ ❙t❡✈❡ ❀ ❲✐❧❧✐❛♠s✱ ❆♥❞r❡ ❀ ❑❡❡❢❡r✱
❈❤r✐s ❀ ❊♥❣❡❧❤❛r❞t✱ ❆❧❧❛♥ ❀ ❈♦♦♣❡r✱ ❚♦♥② ❀ ▼❛②❡r✱ ❩❛❝❤❛r② ❀ ❑❡♥❦❡❧✱
❇r❡♥t♦♥ ❀ ❘ ❈♦r❡ ❚❡❛♠ t❤❡ ❀ ❇❡♥❡st②✱ ▼✐❝❤❛❡❧ ❀ ▲❡s❝❛r❜❡❛✉✱ ❘❡②♥❛❧❞
❀ ❩✐❡♠✱ ❆♥❞r❡✇ ❀ ❙❝r✉❝❝❛✱ ▲✉❝❛ ❀ ❚❛♥❣✱ ❨✉❛♥ ❀ ❈❛♥❞❛♥✱ ❈❛♥ ❀ ❍✉♥t✳✱
❚②❧❡r✿ ❝❛r❡t✿ ❈❧❛ss✐✜❝❛t✐♦♥ ❛♥❞ ❘❡❣r❡ss✐♦♥ ❚r❛✐♥✐♥❣✱ ✷✵✶✽✳ ❤tt♣s✿✴✴❈❘❆◆✳
❘✲♣r♦❥❡❝t✳♦r❣✴♣❛❝❦❛❣❡❂❝❛r❡t✳ ✕ ❘ ♣❛❝❦❛❣❡ ✈❡rs✐♦♥ ✻✳✵✲✽✵
❬✸✸❪
❇✉tt♥❡r✱
❬✸✹❪
◗✐✱
❬✸✺❪
❘♦♥❞❡❛✉①✱
❬✸✻❪
❘♦✉s❡ ❏r✱ ❏❴❲ ❀ ❍❛❛s✱ ❘❍ ❀ ❙❝❤❡❧❧✱ ❏❆ ❀ ❉❡❡r✐♥❣✱ ❉❲✿ ▼♦♥✐t♦r✐♥❣
✈❡❣❡t❛t✐♦♥ s②st❡♠s ✐♥ t❤❡ ●r❡❛t P❧❛✐♥s ✇✐t❤ ❊❘❚❙✳ ✭✶✾✼✹✮
❬✸✼❪
❘✐❝❤❛r❞s♦♥✱
❬✸✽❪
❖❧❧✐♥❣❡r✱
❙✳ ❱✳✿ ❙♦✉r❝❡s ♦❢ ✈❛r✐❛❜✐❧✐t② ✐♥ ❝❛♥♦♣② r❡✢❡❝t❛♥❝❡ ❛♥❞ t❤❡ ❝♦♥✈❡r✲
❣❡♥t ♣r♦♣❡rt✐❡s ♦❢ ♣❧❛♥ts✳ ■♥✿ ◆❡✇ P❤②t♦❧♦❣✐st ✶✽✾ ✭✷✵✶✵✮✱ ♥♦✈✱ ◆r✳ ✷✱ ✸✼✺✕
✸✾✹✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✶✶✶✴❥✳✶✹✻✾✲✽✶✸✼✳✷✵✶✵✳✵✸✺✸✻✳①✳ ✕ ❉❖■
✶✵✳✶✶✶✶✴❥✳✶✹✻✾✕✽✶✸✼✳✷✵✶✵✳✵✸✺✸✻✳①
❬✸✾❪
❆rts❝❤✇❛❣❡r✱ ❊r♥st✿ ❆♥❛t♦♠② ♦❢ t❤❡ ✈❡❣❡t❛t✐✈❡ ♦r❣❛♥s ♦❢ t❤❡ s✉❣❛r ❜❡❡t✳
❯❙ ●♦✈❡r♥♠❡♥t Pr✐♥t✐♥❣ ❖✣❝❡✱ ✶✾✷✻
❬✹✵❪
❊s❝r✐❜❛♥♦✱
❏♦s❡❢❛ ❀ ●❛♥❞í❛✲❍❡rr❡r♦✱ ❋❡r♥❛♥❞♦ ❀ ❈❛❜❛❧❧❡r♦✱ ◆✉r✐❛ ❀
P❡❞r❡ñ♦✱ ▼❛r✐❛ ❆✳✿ ❙✉❜❝❡❧❧✉❧❛r ❧♦❝❛❧✐③❛t✐♦♥ ❛♥❞ ✐s♦❡♥③②♠❡ ♣❛tt❡r♥ ♦❢ ♣❡r✲
♦①✐❞❛s❡ ❛♥❞ ♣♦❧②♣❤❡♥♦❧ ♦①✐❞❛s❡ ✐♥ ❜❡❡t r♦♦t ✭❇❡t❛ ✈✉❧❣❛r✐s ▲✳✮✳ ■♥✿ ❏♦✉r♥❛❧
♦❢ ❆❣r✐❝✉❧t✉r❛❧ ❛♥❞ ❋♦♦❞ ❈❤❡♠✐str② ✺✵ ✭✷✵✵✷✮✱ ◆r✳ ✷✶✱ ❙✳ ✻✶✷✸✕✻✶✷✾
❬✹✶❪
●❤♦❧❛♠✐✱
●✳ ❀ P❢❛❤❧❡r✱ ❇✳ ❀ ▼❛r❧❛♥❞❡r✱ ❇✳✿ ●r❡❡♥❤♦✉s❡ ❛♥❞ ✜❡❧❞
t❡❝❤♥✐q✉❡s ❢♦r t❡st✐♥❣ s✉❣❛r ❜❡❡t ❢♦r r❡s✐st❛♥❝❡ t♦ ❘❤✐③♦❝t♦♥✐❛ r♦♦t ❛♥❞
❝r♦✇♥ r♦t✳ ■♥✿ P❧❛♥t ❇r❡❡❞✐♥❣ ✶✷✸ ✭✷✵✵✹✮✱ ◆r✳ ✷✱ ❙✳ ✶✺✽✕✶✻✻✳ ❤tt♣✿✴✴
❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✹✻✴❥✳✶✹✸✾✲✵✺✷✸✳✷✵✵✸✳✵✵✾✻✼✳①✳ ✕ ❉❖■ ✶✵✳✶✵✹✻✴❥✳✶✹✸✾✕
✵✺✷✸✳✷✵✵✸✳✵✵✾✻✼✳①✳ ✕ ■❙❙◆ ✵✶✼✾✕✾✺✹✶
❏✐❛❣✉♦ ❀ ❈❤❡❤❜♦✉♥✐✱ ❆❜❞❡❧❣❤❛♥✐ ❀ ❍✉❡t❡✱ ❆❘ ❀ ❑❡rr✱ ❨❍ ❀
❙♦r♦♦s❤✐❛♥✱ ❙♦r♦♦s❤✿ ❆ ♠♦❞✐✜❡❞ s♦✐❧ ❛❞❥✉st❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①✳ ■♥✿ ❘❡✲
♠♦t❡ s❡♥s✐♥❣ ♦❢ ❡♥✈✐r♦♥♠❡♥t ✹✽ ✭✶✾✾✹✮✱ ◆r✳ ✷✱ ❙✳ ✶✶✾✕✶✷✻
●❡♥❡✈✐è✈❡ ❀ ❙t❡✈❡♥✱ ▼✐❝❤❛❡❧ ❀ ❇❛r❡t✱ ❋ré❞ér✐❝✿ ❖♣t✐♠✐③❛✲
t✐♦♥ ♦❢ s♦✐❧✲❛❞❥✉st❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞✐❝❡s✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t
✺✺ ✭✶✾✾✻✮✱ ◆r✳ ✷✱ ❙✳ ✾✺✕✶✵✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴✵✵✸✹✲✹✷✺✼✭✾✺✮
✵✵✶✽✻✲✼✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴✵✵✸✹✕✹✷✺✼✭✾✺✮✵✵✶✽✻✕✼✳ ✕ ■❙❙◆ ✵✵✸✹✹✷✺✼
❆rt❤✉r ❏✳ ❀ ❲✐❡❣❛♥❞✱ ❈▲✿ ❉✐st✐♥❣✉✐s❤✐♥❣ ✈❡❣❡t❛t✐♦♥ ❢r♦♠
s♦✐❧ ❜❛❝❦❣r♦✉♥❞ ✐♥❢♦r♠❛t✐♦♥✳ ■♥✿ P❤♦t♦❣r❛♠♠❡tr✐❝ ❡♥❣✐♥❡❡r✐♥❣ ❛♥❞ r❡♠♦t❡
s❡♥s✐♥❣ ✹✸ ✭✶✾✼✼✮✱ ◆r✳ ✶✷✱ ❙✳ ✶✺✹✶✕✶✺✺✷
❘❛♦♦❢ ❀ ❋❛❦❤❛r✐✱ ◆✐❦♦♦✿ ❙✉♣♣♦rt ❱❡❝t♦r ▼❛❝❤✐♥❡✿ Pr✐♥❝✐♣❧❡s✱
P❛r❛♠❡t❡rs✱ ❛♥❞ ❆♣♣❧✐❝❛t✐♦♥s✳ ■♥✿ ❍❛♥❞❜♦♦❦ ♦❢ ◆❡✉r❛❧ ❈♦♠♣✉t❛t✐♦♥✳ ❊❧s❡✲
✈✐❡r✱ ✷✵✶✼✱ ❙✳ ✺✶✺✕✺✸✺
✻✵
❇✐❜❧✐♦❣r❛♣❤②
❬✹✷❪
❬✹✸❪
❘✉♣♣❡❧✱ ❊●✿ ❍✐st♦♣❛t❤♦❧♦❣② ♦❢ ❘❡s✐st❛♥t ❛♥❞ ❙✉s❝❡♣t✐❜❧❡ ❙✉❣❛r ❇❡❡t ❘♦♦ts✳
■♥✿
P❤②t♦♣❛t❤♦❧♦❣②
❇❡r❞✉❣♦✱ ❈✳ ❆✳✿
✻✸ ✭✶✾✼✸✮✱ ❙✳ ✶✷✸✕✶✷✻
❊st❛❜❧✐s❤♠❡♥t ♦❢ ❛ s❝r❡❡♥✐♥❣ t❡st ❢♦r r❡s✐st❛♥❝❡ ♦❢ s✉❣❛r
❜❡❡t t♦ ❘❤✐③♦❝t♦♥✐❛ s♦❧❛♥✐ ❆● ✷✲✷■■■❇ ❛♥❞ ❆● ✹✳
♦❢ ❇♦♥♥✱ ❉✐ss✳✱ ✷✵✵✾
❬✹✹❪
❇♦♥♥✱ ●❡r♠❛♥②✱ ❯♥✐✈❡rs✐t②
❙t✐❡❜❡r✱ ❏✳ ❀ ❇❡r✐♥❣❡r✱ ❍✳✿ ❉②♥❛♠✐❝ ❛♥❞ ❙tr✉❝t✉r❛❧ ❘❡❧❛t✐♦♥s❤✐♣s ❆♠♦♥❣
▲❡❛✈❡s✱ ❘♦♦ts✱ ❛♥❞ ❙t♦r❛❣❡ ❚✐ss✉❡ ✐♥ t❤❡ ❙✉❣❛r ❇❡❡t✳ ■♥✿ ❇♦t❛♥✐❝❛❧ ●❛③❡tt❡
✶✹✺ ✭✶✾✽✹✮✱ ❞❡❝✱ ◆r✳ ✹✱ ✹✻✺✕✹✼✸✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✻✴✸✸✼✹✽✵✳ ✕
❉❖■ ✶✵✳✶✵✽✻✴✸✸✼✹✽✵
●✐t❡❧s♦♥✱
▼❡r③❧②❛❦
❈❤✐✈❦✉♥♦✈❛
❬✹✺❪
❆♥❛t♦❧② ❆✳ ❀
✱ ▼❛r❦ ◆✳ ❀
✱ ❖❧❣❛ ❇✳✿
❖♣t✐❝❛❧ Pr♦♣❡rt✐❡s ❛♥❞ ◆♦♥❞❡str✉❝t✐✈❡ ❊st✐♠❛t✐♦♥ ♦❢ ❆♥t❤♦❝②❛♥✐♥ ❈♦♥t❡♥t
✐♥ P❧❛♥t ▲❡❛✈❡s✳ ■♥✿ P❤♦t♦❝❤❡♠✐str② ❛♥❞ P❤♦t♦❜✐♦❧♦❣② ✼✹ ✭✷✵✵✶✮✱ ◆r✳ ✶✱ ❙✳ ✸✽✳
❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✺✻✷✴✵✵✸✶✲✽✻✺✺✭✷✵✵✶✮✵✼✹✳ ✕ ❉❖■ ✶✵✳✶✺✻✷✴✵✵✸✶✕
✽✻✺✺✭✷✵✵✶✮✵✼✹✳ ✕ ■❙❙◆ ✵✵✸✶✕✽✻✺✺
❬✹✻❪
✱ P✳ ❀
✱ ❆✳ ❀
✱ ❘✳ ❀
✱
❏✳ ❀
✱ P✳ ❀
✱ ❱✳ ❀
✱ ▼✳ ❀
✱
❆✳✿ ❆ss❡ss✐♥❣ ✈✐♥❡②❛r❞ ❝♦♥❞✐t✐♦♥ ✇✐t❤ ❤②♣❡rs♣❡❝tr❛❧ ✐♥❞✐❝❡s✿ ▲❡❛❢ ❛♥❞
❝❛♥♦♣② r❡✢❡❝t❛♥❝❡ s✐♠✉❧❛t✐♦♥ ✐♥ ❛ r♦✇✲str✉❝t✉r❡❞ ❞✐s❝♦♥t✐♥✉♦✉s ❝❛♥♦♣②✳ ■♥✿
❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✾✾ ✭✷✵✵✺✮✱ ◆r✳ ✸✱ ❙✳ ✷✼✶✕✷✽✼✳ ❤tt♣✿✴✴❞①✳
❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✵✺✳✵✾✳✵✵✷✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✵✺✳✵✾✳✵✵✷✳ ✕
■❙❙◆ ✵✵✸✹✹✷✺✼
❬✹✼❪
❩❆❘❈❖❚❊❏❆❉❆ ❇❊❘❏❖◆
▼❆❘❚■◆
❈❆❈❍❖❘❘❖
▲❖P❊❩▲❖❩❆◆❖
▼■▲▲❊❘
●❖◆❩❆▲❊❩
❉❊❋❘❯❚❖❙
▼❛❤❧❡✐♥✱ ❆✳✲❑✳ ❀ ❘✉♠♣❢✱ ❚✳ ❀ ❲❡❧❦❡✱ P✳ ❀ ❉❡❤♥❡✱ ❍✳✲❲✳ ❀ P❧ü♠❡r✱ ▲✳ ❀
❙t❡✐♥❡r✱ ❯✳ ❀ ❖❡r❦❡✱ ❊✳✲❈✳✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ s♣❡❝tr❛❧ ✐♥❞✐❝❡s ❢♦r ❞❡t❡❝t✐♥❣
❛♥❞ ✐❞❡♥t✐❢②✐♥❣ ♣❧❛♥t ❞✐s❡❛s❡s✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✶✷✽
✭✷✵✶✸✮✱ ✷✶✕✸✵✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✶✷✳✵✾✳✵✶✾✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✶✷✳✵✾✳✵✶✾✳ ✕ ■❙❙◆ ✵✵✸✹✹✷✺✼
❬✹✽❪
❬✹✾❪
❬✺✵❪
❬✺✶❪
●✐t❡❧s♦♥✱ ❆♥❛t♦❧② ❆✳ ❀ ❩✉r✱ ❨♦❛✈ ❀ ❈❤✐✈❦✉♥♦✈❛✱ ❖❧❣❛ ❇✳ ❀ ▼❡r③❧②❛❦✱
▼❛r❦ ◆✳✿ ❆ss❡ss✐♥❣ ❝❛r♦t❡♥♦✐❞ ❝♦♥t❡♥t ✐♥ ♣❧❛♥t ❧❡❛✈❡s ✇✐t❤ r❡✢❡❝t❛♥❝❡ s♣❡❝✲
tr♦s❝♦♣②✳ ■♥✿ P❤♦t♦❝❤❡♠✐str② ❛♥❞ ♣❤♦t♦❜✐♦❧♦❣② ✼✺ ✭✷✵✵✷✮✱ ◆r✳ ✸✱ ❙✳ ✷✼✷✕✷✽✶✳
✕ ■❙❙◆ ✵✵✸✶✕✽✻✺✺
❈❛rt❡r✱
●r❡❣♦r② ❆✳✿
❘❛t✐♦s ♦❢ ❧❡❛❢ r❡✢❡❝t❛♥❝❡s ✐♥ ♥❛rr♦✇ ✇❛✈❡✲
❜❛♥❞s ❛s ✐♥❞✐❝❛t♦rs ♦❢ ♣❧❛♥t str❡ss✳ ■♥✿ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❘❡✲
♠♦t❡ ❙❡♥s✐♥❣ ✶✺ ✭✶✾✾✹✮✱ ◆r✳ ✸✱ ❙✳ ✻✾✼✕✼✵✸✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✵✴
✵✶✹✸✶✶✻✾✹✵✽✾✺✹✶✵✾✳ ✕ ❉❖■ ✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✹✵✽✾✺✹✶✵✾✳ ✕ ■❙❙◆ ✵✶✹✸✕✶✶✻✶
❆♣❛♥✱ ❆r♠❛♥❞♦ ❀ ❍❡❧❞✱ ❆❧❡① ❀ P❤✐♥♥✱ ❙t✉❛rt ❀ ▼❛r❦❧❡②✱ ❏♦❤♥✿
❋♦r♠✉✲
❧❛t✐♦♥ ❛♥❞ ❛ss❡ss♠❡♥t ♦❢ ♥❛rr♦✇✲❜❛♥❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞✐❝❡s ❢r♦♠ ❊❖✶ ❍②♣❡r✐♦♥
✐♠❛❣❡r② ❢♦r ❞✐s❝r✐♠✐♥❛t✐♥❣ s✉❣❛r❝❛♥❡ ❞✐s❡❛s❡✳ ✭✷✵✵✸✮✱ ✵✾
▼♦❣❤✐♠✐✱ ❆❧✐ ❀ ❆❣❤❦❤❛♥✐✱ ▼✳❤ ❀ ▼❛❤♠♦♦❞✱ ❘❡③❛ ❀ ●♦❧③❛r✐❛♥✱ ▼❛❤✲
♠♦♦❞ ❀ ❘♦❤❛♥✐✱ ❆❜❜❛s ❀ ❨❛♥❣✱ ❈❡✿ ❆ ❘♦❜♦✲✈✐s✐♦♥ ❆❧❣♦r✐t❤♠ ❢♦r ❆✉t♦♠❛t✐❝
❍❛r✈❡st✐♥❣ ♦❢ ●r❡❡♥ ❇❡❧❧ P❡♣♣❡r✳ ■♥✿ ✷✵✶✺ ❆❙❆❇❊ ■♥t❡r♥❛t✐♦♥❛❧ ▼❡❡t✐♥❣✱
❆♠❡r✐❝❛♥ ❙♦❝✐❡t② ♦❢ ❆❣r✐❝✉❧t✉r❛❧ ❛♥❞ ❇✐♦❧♦❣✐❝❛❧ ❊♥❣✐♥❡❡rs✱ ❥✉❧ ✷✵✶✺
✻✶
❇✐❜❧✐♦❣r❛♣❤②
❬✺✷❪
❬✺✸❪
❬✺✹❪
❬✺✺❪
✱ ❆✳✿ ❆ ❝♦♠♣❛r✐s♦♥ ♦❢ ✈❡❣❡t❛t✐♦♥ ✐♥❞✐❝❡s ♦✈❡r ❛ ❣❧♦❜❛❧ s❡t ♦❢ ❚▼
✐♠❛❣❡s ❢♦r ❊❖❙✲▼❖❉■❙✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✺✾ ✭✶✾✾✼✮✱ ◆r✳
✸✱ ❙✳ ✹✹✵✕✹✺✶✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❙✵✵✸✹✲✹✷✺✼✭✾✻✮✵✵✶✶✷✲✺✳ ✕
❉❖■ ✶✵✳✶✵✶✻✴❙✵✵✸✹✕✹✷✺✼✭✾✻✮✵✵✶✶✷✕✺✳ ✕ ■❙❙◆ ✵✵✸✹✹✷✺✼
❍✉❡t❡
✱ ❆♥❛t♦❧② ❆✳ ❀ ▼❡r③❧②❛❦✱ ▼❛r❦ ◆✳ ❀ ▲✐❝❤t❡♥t❤❛❧❡r✱ ❍❛rt✲
♠✉t ❑✳✿ ❉❡t❡❝t✐♦♥ ♦❢ ❘❡❞ ❊❞❣❡ P♦s✐t✐♦♥ ❛♥❞ ❈❤❧♦r♦♣❤②❧❧ ❈♦♥t❡♥t ❜② ❘❡✲
✢❡❝t❛♥❝❡ ▼❡❛s✉r❡♠❡♥ts ◆❡❛r ✼✵✵ ♥♠✳ ■♥✿ ❏♦✉r♥❛❧ ♦❢ P❧❛♥t P❤②s✐♦❧♦❣② ✶✹✽
✭✶✾✾✻✮✱ ◆r✳ ✸✲✹✱ ❙✳ ✺✵✶✕✺✵✽✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❙✵✶✼✻✲✶✻✶✼✭✾✻✮
✽✵✷✽✺✲✾✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴❙✵✶✼✻✕✶✻✶✼✭✾✻✮✽✵✷✽✺✕✾✳ ✕ ■❙❙◆ ✵✶✼✻✶✻✶✼
●✐t❡❧s♦♥
❚✉❝❦❡r✱ ❈✳ ❏✳ ❀ ❊❧❣✐♥✱ ❏✳ ❍✳ ❀ ▼❝▼✉rtr❡②✱ ❏✳ ❊✳ ❀ ❋❛♥✱ ❈✳ ❏✳✿
▼♦♥✐t♦r✐♥❣ ❝♦r♥ ❛♥❞ s♦②❜❡❛♥ ❝r♦♣ ❞❡✈❡❧♦♣♠❡♥t ✇✐t❤ ❤❛♥❞✲❤❡❧❞ r❛❞✐♦♠❡✲
t❡r s♣❡❝tr❛❧ ❞❛t❛✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✽ ✭✶✾✼✾✮✱ ◆r✳ ✸✱
❙✳ ✷✸✼✕✷✹✽✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴✵✵✸✹✲✹✷✺✼✭✼✾✮✾✵✵✵✹✲❳✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴✵✵✸✹✕✹✷✺✼✭✼✾✮✾✵✵✵✹✕❳✳ ✕ ■❙❙◆ ✵✵✸✹✹✷✺✼
✱ ❇✳ ❀ ❱❡rstr❛❡t❡✱ ▼✳ ▼✳✿ ●❊▼■✿ ❆ ♥♦♥✲❧✐♥❡❛r ✐♥❞❡① t♦ ♠♦♥✐t♦r
❣❧♦❜❛❧ ✈❡❣❡t❛t✐♦♥ ❢r♦♠ s❛t❡❧❧✐t❡s✳ ■♥✿ ❱❡❣❡t❛t✐♦ ✶✵✶ ✭✶✾✾✷✮✱ ◆r✳ ✶✱ ❙✳ ✶✺✕✷✵✳
❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✵✼✴❇❋✵✵✵✸✶✾✶✶✳ ✕ ❉❖■ ✶✵✳✶✵✵✼✴❇❋✵✵✵✸✶✾✶✶✳ ✕
■❙❙◆ ✵✵✹✷✕✸✶✵✻
P✐♥t②
❬✺✻❪
✱ ❆✳ ❆✳ ❀ ▼❡r③❧②❛❦✱ ▼✳ ◆✳✿ ❘❡♠♦t❡ ❡st✐♠❛t✐♦♥ ♦❢ ❝❤❧♦r♦✲
♣❤②❧❧ ❝♦♥t❡♥t ✐♥ ❤✐❣❤❡r ♣❧❛♥t ❧❡❛✈❡s✳ ■♥✿ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❘❡♠♦t❡
❙❡♥s✐♥❣ ✶✽ ✭✶✾✾✼✮✱ ◆r✳ ✶✷✱ ❙✳ ✷✻✾✶✕✷✻✾✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✵✴
✵✶✹✸✶✶✻✾✼✷✶✼✺✺✽✳ ✕ ❉❖■ ✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✼✷✶✼✺✺✽✳ ✕ ■❙❙◆ ✵✶✹✸✕✶✶✻✶
❬✺✼❪
✱ ❘✉ss❡❧❧ ❀ ❈❤♦✱ ▼♦s❡s ❆✳ ❀ ▼❛t❤✐❡✉✱ ❘❡♥❛✉❞ ❀ ❖✬❑❡♥♥❡❞②✱
▼❛rt❤❛ ▼✳ ❀ ❘❛♠♦❡❧♦✱ ❆❜❡❧ ❀ ❑♦❝❤✱ ❙✉s❛♥✿ ❆♥ ✐♥✈❡st✐❣❛t✐♦♥ ✐♥t♦
r♦❜✉st s♣❡❝tr❛❧ ✐♥❞✐❝❡s ❢♦r ❧❡❛❢ ❝❤❧♦r♦♣❤②❧❧ ❡st✐♠❛t✐♦♥✳ ■♥✿ ■❙P❘❙ ❏♦✉r✲
♥❛❧ ♦❢ P❤♦t♦❣r❛♠♠❡tr② ❛♥❞ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ✻✻ ✭✷✵✶✶✮✱ ♥♦✈✱ ◆r✳ ✻✱ ✼✺✶✕
✼✻✶✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❥✳✐s♣rs❥♣rs✳✷✵✶✶✳✵✽✳✵✵✶✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴❥✳✐s♣rs❥♣rs✳✷✵✶✶✳✵✽✳✵✵✶
❬✺✽❪
✱ ❆♥❛t♦❧② ❆✳ ❀ ❑❛✉❢♠❛♥✱ ❨♦r❛♠ ❏✳ ❀ ❙t❛r❦✱ ❘♦❜❡rt ❀
❘✉♥❞q✉✐st✱ ❉♦♥✿
◆♦✈❡❧ ❛❧❣♦r✐t❤♠s ❢♦r r❡♠♦t❡ ❡st✐♠❛t✐♦♥ ♦❢ ✈❡❣❡t❛✲
t✐♦♥ ❢r❛❝t✐♦♥✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✽✵ ✭✷✵✵✷✮✱ ❛♣r✱ ◆r✳
✶✱ ✼✻✕✽✼✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴s✵✵✸✹✲✹✷✺✼✭✵✶✮✵✵✷✽✾✲✾✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴s✵✵✸✹✕✹✷✺✼✭✵✶✮✵✵✷✽✾✕✾
❬✺✾❪
✱ ❘✳✿ ❈❛❧❝✉❧❛t✐♥❣ t❤❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡① ❢❛st❡r✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣
✸✹ ✭✶✾✾✵✮✱ ◆r✳ ✶✱ ❙✳ ✼✶✕✼✸✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴
✵✵✸✹✲✹✷✺✼✭✾✵✮✾✵✵✽✺✲❩✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴✵✵✸✹✕✹✷✺✼✭✾✵✮✾✵✵✽✺✕❩✳ ✕ ■❙❙◆
✵✵✸✹✹✷✺✼
●✐t❡❧s♦♥
▼❛✐♥
●✐t❡❧s♦♥
❈❘■PP❊◆
♦❢ ❊♥✈✐r♦♥♠❡♥t
❬✻✵❪
✱ ❊✈❛ ❀ ❙♦❡❣❛❛r❞✱ ❍✳ ❀ ❇r♦❣❡✱ ◆✳ ❀ ❍❛s❛❣❡r✱ ❈✳❇✳ ❀ ❏❡♥s❡♥✱
◆✳❖✳ ❀ ❙❝❤❡❧❞❡✱ ❑✳ ❀ ❚❤♦♠s❡♥✱ ❆✳✿ ❆✐r❜♦r♥❡ ♠✉❧t✐s♣❡❝tr❛❧ ❞❛t❛ ❢♦r q✉❛♥✲
t✐❢②✐♥❣ ❧❡❛❢ ❛r❡❛ ✐♥❞❡①✱ ♥✐tr♦❣❡♥ ❝♦♥❝❡♥tr❛t✐♦♥✱ ❛♥❞ ♣❤♦t♦s②♥t❤❡t✐❝ ❡✣❝✐❡♥❝②
✐♥ ❛❣r✐❝✉❧t✉r❡✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✽✶ ✭✷✵✵✷✮✱ ❛✉❣✱ ◆r✳ ✷✲✸✱
✶✼✾✕✶✾✸✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴s✵✵✸✹✲✹✷✺✼✭✵✶✮✵✵✸✹✷✲①✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴s✵✵✸✹✕✹✷✺✼✭✵✶✮✵✵✸✹✷✕①
❇♦❡❣❤
✻✷
❇✐❜❧✐♦❣r❛♣❤②
▲✐❝❤t❡♥t❤❛❧❡r✱ ❍❛rt♠✉t ❑✳✿
❬✻✶❪
❱❡❣❡t❛t✐♦♥ ❙tr❡ss✿ ❆♥ ■♥tr♦❞✉❝t✐♦♥ t♦ t❤❡
❙tr❡ss ❈♦♥❝❡♣t ✐♥ P❧❛♥ts✳ ■♥✿ ❏♦✉r♥❛❧ ♦❢ P❧❛♥t P❤②s✐♦❧♦❣② ✶✹✽ ✭✶✾✾✻✮✱ ◆r✳ ✶✲
✷✱ ❙✳ ✹✕✶✹✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❙✵✶✼✻✲✶✻✶✼✭✾✻✮✽✵✷✽✼✲✷✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴❙✵✶✼✻✕✶✻✶✼✭✾✻✮✽✵✷✽✼✕✷✳ ✕ ■❙❙◆ ✵✶✼✻✶✻✶✼
❬✻✷❪
▲❛✉❞✐❡♥✱
❘❛✐♥❡r ❀ ❇❛r❡t❤✱ ●❡♦r❣ ❀ ❉♦❧✉s❝❤✐t③✱ ❘❡✐♥❡r✿ ❆♥❛❧②s✐s ♦❢
❤②♣❡rs♣❡❝tr❛❧ ✜❡❧❞ ❞❛t❛ ❢♦r ❞❡t❡❝t✐♦♥ ♦❢ s✉❣❛r ❜❡❡t ❞✐s❡❛s❡s✳ ■♥✿ Pr♦❝❡❡❞✐♥❣s
♦❢ t❤❡ ❊❋■❚❆ ❈♦♥❢❡r❡♥❝❡✱ ❉❡❜r❡❝❡♥✱ ❍✉♥❣❛r② ❇❞✳ ✺✾✱ ✷✵✵✸✱ ❙✳ ✸✼✺✸✽✶
❬✻✸❪
❉❛✉❣❤tr②✱
❈r❛✐❣ ❙✳✿
❉✐s❝r✐♠✐♥❛t✐♥❣ ❈r♦♣ ❘❡s✐❞✉❡s ❢r♦♠ ❙♦✐❧ ❜②
❙❤♦rt✇❛✈❡ ■♥❢r❛r❡❞ ❘❡✢❡❝t❛♥❝❡✳ ■♥✿ ❆❣r♦♥♦♠② ❏♦✉r♥❛❧ ✾✸ ✭✷✵✵✶✮✱ ◆r✳
✶✱ ❙✳ ✶✷✺✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✷✶✸✹✴❛❣r♦♥❥✷✵✵✶✳✾✸✶✶✷✺①✳ ✕ ❉❖■
✶✵✳✷✶✸✹✴❛❣r♦♥❥✷✵✵✶✳✾✸✶✶✷✺①✳ ✕ ■❙❙◆ ✶✹✸✺✕✵✻✹✺
❬✻✹❪
❍❛❜♦✉❞❛♥❡✱
❬✻✺❪
❉❛tt✱ ❇✐s✉♥✿
❆ ◆❡✇ ❘❡✢❡❝t❛♥❝❡ ■♥❞❡① ❢♦r ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❈❤❧♦r♦♣❤②❧❧
❈♦♥t❡♥t ✐♥ ❍✐❣❤❡r P❧❛♥ts✿ ❚❡sts ✉s✐♥❣ ❊✉❝❛❧②♣t✉s ▲❡❛✈❡s✳ ■♥✿ ❏♦✉r♥❛❧ ♦❢
P❧❛♥t P❤②s✐♦❧♦❣② ✶✺✹ ✭✶✾✾✾✮✱ ❥❛♥✱ ◆r✳ ✶✱ ✸✵✕✸✻✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳
✶✵✶✻✴s✵✶✼✻✲✶✻✶✼✭✾✾✮✽✵✸✶✹✲✾✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴s✵✶✼✻✕✶✻✶✼✭✾✾✮✽✵✸✶✹✕✾
❬✻✻❪
❙✐♠s✱ ❉❛♥✐❡❧ ❆✳ ❀ ●❛♠♦♥✱ ❏♦❤♥ ❆✳✿ ❘❡❧❛t✐♦♥s❤✐♣s ❜❡t✇❡❡♥ ❧❡❛❢ ♣✐❣✲
♠❡♥t ❝♦♥t❡♥t ❛♥❞ s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡ ❛❝r♦ss ❛ ✇✐❞❡ r❛♥❣❡ ♦❢ s♣❡❝✐❡s✱ ❧❡❛❢
str✉❝t✉r❡s ❛♥❞ ❞❡✈❡❧♦♣♠❡♥t❛❧ st❛❣❡s✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥✲
♠❡♥t ✽✶ ✭✷✵✵✷✮✱ ❛✉❣✱ ◆r✳ ✷✲✸✱ ✸✸✼✕✸✺✹✳
❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴
s✵✵✸✹✲✹✷✺✼✭✵✷✮✵✵✵✶✵✲①✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴s✵✵✸✹✕✹✷✺✼✭✵✷✮✵✵✵✶✵✕①
❬✻✼❪
●✐t❡❧s♦♥✱
❆♥❛t♦❧② ❀ ▼❡r③❧②❛❦✱ ▼❛r❦ ◆✳✿ ◗✉❛♥t✐t❛t✐✈❡ ❡st✐♠❛t✐♦♥ ♦❢
❝❤❧♦r♦♣❤②❧❧✲❛ ✉s✐♥❣ r❡✢❡❝t❛♥❝❡ s♣❡❝tr❛✿ ❊①♣❡r✐♠❡♥ts ✇✐t❤ ❛✉t✉♠♥ ❝❤❡st✲
♥✉t ❛♥❞ ♠❛♣❧❡ ❧❡❛✈❡s✳ ■♥✿ ❏♦✉r♥❛❧ ♦❢ P❤♦t♦❝❤❡♠✐str② ❛♥❞ P❤♦t♦❜✐♦❧♦❣②
❇✿ ❇✐♦❧♦❣② ✷✷ ✭✶✾✾✹✮✱ ♠❛r✱ ◆r✳ ✸✱ ✷✹✼✕✷✺✷✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴
✶✵✶✶✲✶✸✹✹✭✾✸✮✵✻✾✻✸✲✹✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴✶✵✶✶✕✶✸✹✹✭✾✸✮✵✻✾✻✸✕✹
❬✻✽❪
P❡♥✉❡❧❛s✱ ❏♦s❡♣ ❀ ●❛♠♦♥✱ ❏♦❤♥ ❆✳ ❀ ●r✐❢❢✐♥✱ ❑❡✈✐♥ ▲✳ ❀ ❋✐❡❧❞✱ ❈❤r✐st♦✲
❬✻✾❪
❉✿ ❍②♣❡rs♣❡❝tr❛❧ ✈❡❣❡t❛t✐♦♥ ✐♥❞✐❝❡s ❛♥❞ ♥♦✈❡❧ ❛❧❣♦r✐t❤♠s
❢♦r ♣r❡❞✐❝t✐♥❣ ❣r❡❡♥ ▲❆■ ♦❢ ❝r♦♣ ❝❛♥♦♣✐❡s✿ ▼♦❞❡❧✐♥❣ ❛♥❞ ✈❛❧✐❞❛t✐♦♥ ✐♥ t❤❡
❝♦♥t❡①t ♦❢ ♣r❡❝✐s✐♦♥ ❛❣r✐❝✉❧t✉r❡✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✾✵
✭✷✵✵✹✮✱ ❛♣r✱ ◆r✳ ✸✱ ✸✸✼✕✸✺✷✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✵✸✳
✶✷✳✵✶✸✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴❥✳rs❡✳✷✵✵✸✳✶✷✳✵✶✸
♣❤❡r ❇✳✿ ❆ss❡ss✐♥❣ ❝♦♠♠✉♥✐t② t②♣❡✱ ♣❧❛♥t ❜✐♦♠❛ss✱ ♣✐❣♠❡♥t ❝♦♠♣♦s✐✲
t✐♦♥✱ ❛♥❞ ♣❤♦t♦s②♥t❤❡t✐❝ ❡✣❝✐❡♥❝② ♦❢ ❛q✉❛t✐❝ ✈❡❣❡t❛t✐♦♥ ❢r♦♠ s♣❡❝tr❛❧ r❡✲
✢❡❝t❛♥❝❡✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐r♦♥♠❡♥t ✹✻ ✭✶✾✾✸✮✱ ♥♦✈✱ ◆r✳ ✷✱
✶✶✵✕✶✶✽✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴✵✵✸✹✲✹✷✺✼✭✾✸✮✾✵✵✽✽✲❢✳ ✕ ❉❖■
✶✵✳✶✵✶✻✴✵✵✸✹✕✹✷✺✼✭✾✸✮✾✵✵✽✽✕❢
❇❛r♥❡s✱ ❏✳❉✳ ❀ ❇❛❧❛❣✉❡r✱ ▲✳ ❀ ▼❛♥r✐q✉❡✱ ❊✳ ❀ ❊❧✈✐r❛✱ ❙✳ ❀ ❉❛✈✐s♦♥✱
❆✳❲✳✿ ❆ r❡❛♣♣r❛✐s❛❧ ♦❢ t❤❡ ✉s❡ ♦❢ ❉▼❙❖ ❢♦r t❤❡ ❡①tr❛❝t✐♦♥ ❛♥❞ ❞❡t❡r✲
♠✐♥❛t✐♦♥ ♦❢ ❝❤❧♦r♦♣❤②❧❧s ❛ ❛♥❞ ❜ ✐♥ ❧✐❝❤❡♥s ❛♥❞ ❤✐❣❤❡r ♣❧❛♥ts✳ ■♥✿ ❊♥✈✐✲
r♦♥♠❡♥t❛❧ ❛♥❞ ❊①♣❡r✐♠❡♥t❛❧ ❇♦t❛♥② ✸✷ ✭✶✾✾✷✮✱ ❛♣r✱ ◆r✳ ✷✱ ✽✺✕✶✵✵✳ ❤tt♣✿
✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴✵✵✾✽✲✽✹✼✷✭✾✷✮✾✵✵✸✹✲②✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴✵✵✾✽✕
✽✹✼✷✭✾✷✮✾✵✵✸✹✕②
✻✸
❇✐❜❧✐♦❣r❛♣❤②
❬✼✵❪
▼❡r③❧②❛❦✱ ▼❛r❦ ◆✳ ❀ ●✐t❡❧s♦♥✱ ❆♥❛t♦❧② ❆✳ ❀ ❈❤✐✈❦✉♥♦✈❛✱ ❖❧❣❛ ❇✳ ❀
❘❛❦✐t✐♥✱ ❱✐❝t♦r ❨✳✿ ◆♦♥✲❞❡str✉❝t✐✈❡ ♦♣t✐❝❛❧ ❞❡t❡❝t✐♦♥ ♦❢ ♣✐❣♠❡♥t ❝❤❛♥❣❡s
❞✉r✐♥❣ ❧❡❛❢ s❡♥❡s❝❡♥❝❡ ❛♥❞ ❢r✉✐t r✐♣❡♥✐♥❣✳ ■♥✿ P❤②s✐♦❧♦❣✐❛ P❧❛♥t❛r✉♠ ✶✵✻
✭✶✾✾✾✮✱ ♠❛②✱ ◆r✳ ✶✱ ✶✸✺✕✶✹✶✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✸✹✴❥✳✶✸✾✾✲✸✵✺✹✳
✶✾✾✾✳✶✵✻✶✶✾✳①✳ ✕ ❉❖■ ✶✵✳✶✵✸✹✴❥✳✶✸✾✾✕✸✵✺✹✳✶✾✾✾✳✶✵✻✶✶✾✳①
❬✼✶❪
❬✼✷❪
❬✼✸❪
❬✼✹❪
❇❧❛❝❦❜✉r♥✱ ●✳ ❆✳✿
❙♣❡❝tr❛❧ ✐♥❞✐❝❡s ❢♦r ❡st✐♠❛t✐♥❣ ♣❤♦t♦s②♥t❤❡t✐❝ ♣✐❣♠❡♥t
❝♦♥❝❡♥tr❛t✐♦♥s✿ ❆ t❡st ✉s✐♥❣ s❡♥❡s❝❡♥t tr❡❡ ❧❡❛✈❡s✳ ■♥✿ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧
♦❢ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ✶✾ ✭✶✾✾✽✮✱ ❥❛♥✱ ◆r✳ ✹✱ ✻✺✼✕✻✼✺✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳
✶✵✽✵✴✵✶✹✸✶✶✻✾✽✷✶✺✾✶✾✳ ✕ ❉❖■ ✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✽✷✶✺✾✶✾
P❊◆❯❊▲❆❙
❋■▲❊▲▲❆
❇■❊▲
❙❊❘❘❆◆❖
❙❆❱❊
✱ ❏✳ ❀
✱ ■✳ ❀
✱ ❈✳ ❀
✱ ▲✳ ❀
✱ ❘✳✿
❚❤❡ r❡✢❡❝t❛♥❝❡ ❛t t❤❡ ✾✺✵ ✾✼✵ ♥♠ r❡❣✐♦♥ ❛s ❛♥ ✐♥❞✐❝❛t♦r ♦❢ ♣❧❛♥t ✇❛t❡r
st❛t✉s✳ ■♥✿ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ✶✹ ✭✶✾✾✸✮✱ ❥✉❧✱ ◆r✳
✶✵✱ ✶✽✽✼✕✶✾✵✺✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✸✵✽✾✺✹✵✶✵✳ ✕ ❉❖■
✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✸✵✽✾✺✹✵✶✵
P❡♥✉❡❧❛s✱ ❏ ❀ ❇❛r❡t✱ ❋ ❀ ❋✐❧❡❧❧❛✱ ■✿
❙❡♠✐✲❡♠♣✐r✐❝❛❧ ✐♥❞✐❝❡s t♦ ❛ss❡ss
❝❛r♦t❡♥♦✐❞s✴❝❤❧♦r♦♣❤②❧❧ ❛ r❛t✐♦ ❢r♦♠ ❧❡❛❢ s♣❡❝tr❛❧ r❡✢❡❝t❛♥❝❡✳ ■♥✿ P❤♦t♦s②♥✲
t❤❡t✐❝❛ ✸✶ ✭✶✾✾✺✮✱ ◆r✳ ✷✱ ❙✳ ✷✷✶✕✷✸✵
❍✉♥t
❉❛✉❣❤tr②
❊✐t❡❧
▲♦♥❣
✱ ❊✳ ❘✳ ❀
✱ ❈✳ ❙✳ ❚✳ ❀
✱ ❏❛♥ ❯✳ ❍✳ ❀
✱ ❉❛♥ ❙✳✿
❘❡♠♦t❡ ❙❡♥s✐♥❣ ▲❡❛❢ ❈❤❧♦r♦♣❤②❧❧ ❈♦♥t❡♥t ❯s✐♥❣ ❛ ❱✐s✐❜❧❡ ❇❛♥❞ ■♥❞❡①✳ ■♥✿
❆❣r♦♥♦♠② ❏♦✉r♥❛❧ ✶✵✸ ✭✷✵✶✶✮✱ ◆r✳ ✹✱ ✶✵✾✵✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✷✶✸✹✴
❛❣r♦♥❥✷✵✶✵✳✵✸✾✺✳ ✕ ❉❖■ ✶✵✳✷✶✸✹✴❛❣r♦♥❥✷✵✶✵✳✵✸✾✺
❬✼✺❪
❇r♦❣❡✱ ◆✳❍ ❀ ▲❡❜❧❛♥❝✱ ❊✿
❬✼✻❪
❱❖●❊▲▼❆◆◆✱ ❏✳ ❊✳ ❀ ❘❖❈❑✱ ❇✳ ◆✳ ❀ ▼❖❙❙✱ ❉✳ ▼✳✿
❈♦♠♣❛r✐♥❣ ♣r❡❞✐❝t✐♦♥ ♣♦✇❡r ❛♥❞ st❛❜✐❧✐t② ♦❢
❜r♦❛❞❜❛♥❞ ❛♥❞ ❤②♣❡rs♣❡❝tr❛❧ ✈❡❣❡t❛t✐♦♥ ✐♥❞✐❝❡s ❢♦r ❡st✐♠❛t✐♦♥ ♦❢ ❣r❡❡♥ ❧❡❛❢
❛r❡❛ ✐♥❞❡① ❛♥❞ ❝❛♥♦♣② ❝❤❧♦r♦♣❤②❧❧ ❞❡♥s✐t②✳ ■♥✿ ❘❡♠♦t❡ ❙❡♥s✐♥❣ ♦❢ ❊♥✈✐✲
r♦♥♠❡♥t ✼✻ ✭✷✵✵✶✮✱ ♠❛②✱ ◆r✳ ✷✱ ✶✺✻✕✶✼✷✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✶✻✴
s✵✵✸✹✲✹✷✺✼✭✵✵✮✵✵✶✾✼✲✽✳ ✕ ❉❖■ ✶✵✳✶✵✶✻✴s✵✵✸✹✕✹✷✺✼✭✵✵✮✵✵✶✾✼✕✽
❘❡❞ ❡❞❣❡ s♣❡❝tr❛❧
♠❡❛s✉r❡♠❡♥ts ❢r♦♠ s✉❣❛r ♠❛♣❧❡ ❧❡❛✈❡s✳ ■♥✿ ■♥t❡r♥❛t✐♦♥❛❧ ❏♦✉r♥❛❧ ♦❢ ❘❡♠♦t❡
❙❡♥s✐♥❣ ✶✹ ✭✶✾✾✸✮✱ ♠❛②✱ ◆r✳ ✽✱ ✶✺✻✸✕✶✺✼✺✳ ❤tt♣✿✴✴❞①✳❞♦✐✳♦r❣✴✶✵✳✶✵✽✵✴
✵✶✹✸✶✶✻✾✸✵✽✾✺✸✾✽✻✳ ✕ ❉❖■ ✶✵✳✶✵✽✵✴✵✶✹✸✶✶✻✾✸✵✽✾✺✸✾✽✻
✻✹
✽ ❆♣♣❡♥❞✐①
❋✐❣✉r❡ ✽✳✶✿ ◗✉❛❧✐t② t❡st ♣✐❝t✉r❡ ♦❢
❘✳s♦❧❛♥✐
✐s♦❧❛t❡✭❆● ✷✲✷■■■❇✮ ✐♥ ❛ P❉❆ ❝✉❧t✉r❡✳
❚❛❜❧❡ ✽✳✶✿ ❙❝❛❧❡ ✉s❡❞ ❢♦r ❛ss❡ss✐♥❣ ❘❘❈❘ ❞✐s❡❛s❡ s②♠♣t♦♠s ♦♥ s✉❣❛r ❜❡❡t ❧❡❛✈❡s
❬✹✸❪✳
❉❡s❝r✐♣t✐♦♥ ♦❢ s②♠♣t♦♠s
◆♦ ✈✐s✐❜❧❡ ❧❡s✐♦♥s✱ ❛♣♣❛r❡♥t❧② ❤❡❛❧t❤② ♣❧❛♥ts
✶ ✲ ✷✵✪ s❡♥❡s❝❡♥t ❧❡❛✈❡s
✷✵ ✲ ✹✵✪ s❡♥❡s❝❡♥t ❧❡❛✈❡s
✹✵ ✲ ✻✵✪ s❡♥❡s❝❡♥t ❧❡❛✈❡s
✻✵ ✲ ✽✵✪ s❡♥❡s❝❡♥t ❧❡❛✈❡s
✽✵ ✲ ✶✵✵✪ s❡♥❡s❝❡♥t ❧❡❛✈❡s
❉❡❛❞ ♣❧❛♥t ❛♥❞ ❝♦♠♣❧❡t❡❧② r♦tt❡♥
✻✺
❉✐s❡❛s❡ ❝❧❛ss❡s
✵
✶
✷
✸
✹
✺
✻
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✷✿ ❙❝❛❧❡ ✉s❡❞ ❢♦r ❛ss❡ss✐♥❣ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t s②♠♣t♦♠s ♦♥ s✉❣❛r ❜❡❡t
❬✸✸❪✳
❉❡s❝r✐♣t✐♦♥ ♦❢ s②♠♣t♦♠s
◆♦ ✈✐s✐❜❧❡ ❧❡s✐♦♥s✱ ♣❧❛♥ts ❛♣♣❛r❡♥t❧② ❤❡❛❧t❤②
❁✶✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ✈✐s✐❜❧❡ ❘❤✐③♦❝t♦♥✐❛ ❧❡s✐♦♥s
❃✶✕✺✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ✈✐s✐❜❧❡ ❧❡s✐♦♥s
❃✺✕✶✵✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r
❃✶✵✕✷✺✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r
❃✷✺✕✺✵✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r
❃✺✵✕✼✺✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r
❃✼✺✪ ♦❢ t❤❡ r♦♦t s✉r❢❛❝❡ ✇✐t❤ ❞r②✲r♦t ❝❛♥❦❡r
P❧❛♥t ❞❡❛❞ ❛♥❞ ❝♦♠♣❧❡t❡❧② r♦tt❡♥
✻✻
❉✐s❡❛s❡ ❝❧❛ss❡s
✶
✷
✸
✹
✺
✻
✼
✽
✾
●✐t❡❧s♦♥ ❛♥❞ ▼❡r③❧②❛❦ ✐♥❞❡① ✶
●✐t❡❧s♦♥ ❛♥❞ ▼❡r③❧②❛❦ ✐♥❞❡① ✷
●r❡❡♥ ♥♦r♠❛❧✐s❡❞ ❞✐✛❡r❡♥t✐❛❧ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
●r❡❡♥ ❘❛t✐♦ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
❍❡❛❧t❤② ✐♥❞❡①
■♥❢r❛r❡❞ ♣❡r❝❡♥t❛❣❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
▲❡❛❢ ❛r❡❛ ✐♥❞❡①
▲✐❝❤t❡♥t❤❛❧❡r ✐♥❞❡① ✶
▲✐❝❤t❡♥t❤❛❧❡r ✐♥❞❡① ✷
▲✐❝❤t❡♥t❤❛❧❡r ✐♥❞❡① ✸
▼♦❞✐✜❡❞ ❝❤❧♦r♦♣❤②❧❧ ❛❜s♦r♣t✐♦♥ ✐♥❞❡①
▼♦❞✐✜❡❞ ❝❤❧♦r♦♣❤②❧❧ ❛❜s♦r♣t✐♦♥ ✐♥ r❡✢❡❝t❛♥❝❡ ✐♥❞❡①
▼♦❞✐✜❡❞ ❝❤❧♦r♦♣❤②❧❧ ❛❜s♦r♣t✐♦♥ ✐♥ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✶
▼♦❞✐✜❡❞ s❡❝♦♥❞ ❝❤❧♦r♦♣❤②❧❧ ❛❜s♦r♣t✐♦♥ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✷
▼♦❞✐✜❡❞ r❡❞ ❡❞❣❡ ♥♦r♠❛❧✐③❡❞ ❞✐✛❡r❡♥❝❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
▼♦❞✐✜❡❞ r❡❞ ❡❞❣❡ s✐♠♣❧❡ r❛t✐♦ ✐♥❞❡①
◆♦r♠❛❧✐③❡❞ ❞✐✛❡r❡♥❝❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
◆♦r♠❛❧✐③❡❞ ❞✐✛❡r❡♥❝❡ ✼✺✵✴✼✵✺ ❝❤❧♦r♦♣❤②❧❧ ✐♥❞❡①
◆♦r♠❛❧✐③❡❞ ♣✐❣♠❡♥t ❝❤❧♦r♦♣❤②❧❧ ✐♥❞❡①
◆♦r♠❛❧✐s❡❞ ♣❤❛❡♦♣❤②t✐♥✐③❛t✐♦♥ ✐♥❞❡①
❖♣t✐♠✐③❡❞ s♦✐❧ ❛❞❥✉st❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
P♦✇❞❡r② ♠✐❧❞❡✇ ✐♥❞❡①
P❤♦t♦❝❤❡♠✐❝❛❧ r❡✢❡❝t❛♥❝❡ ✐♥❞❡①
P❧❛♥t s❡♥❡s❝❡♥❝❡ r❡✢❡❝t❛♥❝❡ ✐♥❞❡①
P✐❣♠❡♥t s♣❡❝✐✜❝ s✐♠♣❧❡ r❛t✐♦✧❛✧
P✐❣♠❡♥t s♣❡❝✐✜❝ s✐♠♣❧❡ r❛t✐♦✧❜✧
P❧❛♥t ✇❛t❡r ✐♥❞❡①
▼♦❞✐✜❡❞ s♦✐❧ ❛❞❥✉st❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
❙✉❣❛r ❜❡❡t r✉st ✐♥❞❡①
❙tr✉❝t✉r❡ ✐♥s❡♥s✐t✐✈❡ ♣✐❣♠❡♥t ✐♥❞❡①
❙✐♠♣❧❡ r❛t✐♦ ♣✐❣♠❡♥t ✐♥❞❡①
❚r❛♥s❢♦r♠❡❞ ❝❤❧♦r♦♣❤②❧❧ ❛❜s♦r♣t✐♦♥ r❛t✐♦ ✐♥❞❡①
❚r✐❛♥❣✉❧❛r ❣r❡❡♥♥❡ss ✐♥❞❡①
❚r✐❛♥❣✉❧❛r ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
❱♦❣❡❧♠❛♥♥ ✐♥❞❡①
❆♥t❤♦❝②❛♥✐♥ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✶
❆♥t❤♦❝②❛♥✐♥ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✷
❇❧✉❡ ❣r❡❡♥ ♣✐❣♠❡♥t ✐♥❞❡①
❈❡r❝♦s♣♦r❛ ❧❡❛❢ s♣♦t ✐♥❞❡①
❈❛r♦t❡♥♦✐❞ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✶
❈❛r♦t❡♥♦✐❞ r❡✢❡❝t❛♥❝❡ ✐♥❞❡① ✷
❈❛rt❡r ✐♥❞❡① ✶
❈❛rt❡r ✐♥❞❡① ✷
❈❛rt❡r ✐♥❞❡① ✸
❈❛rt❡r ✐♥❞❡① ✹
❈❛rt❡r ✐♥❞❡① ✺
❈❛rt❡r ✐♥❞❡① ✻
❉✐✛❡r❡♥❝❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
❉✐s❡❛s❡ ✇❛t❡r str❡ss ✐♥❞❡① ✹
❊①❝❡ss✐✈❡ ❣r❡❡♥ ✐♥❞❡①
❊♥❤❛♥❝❡❞ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
●r❡❡♥ ❛t❤♠♦s♣❤❡r✐❝❛❧❧② r❡s✐st❛♥t ✐♥❞❡①
●r❡❡♥ ❞✐✛❡r❡♥❝❡ ✈❡❣❡t❛t✐♦♥ ✐♥❞❡①
●❧♦❜❛❧ ❡♥✈✐r♦♥♠❡♥t ♠♦♥✐t♦r✐♥❣ ✐♥❞❡①
■♥❞❡①
●▼■✶
●▼■✷
●◆❱■
●❘❱■
❍■
■P❱■
▲❆■
▲✐❝✶
▲✐❝✷
▲✐❝✸
♠❈❆■
▼❈❆❘■
▼❈❆❘■✶
▼❈❆❘■✷
♠◆❉❱■✼✵✺
▼❙❘✼✵✺
◆❉❱■
◆❉❱■✼✵✺
◆P❈■
◆P◗■
❖❙❆❱■
P▼■
P❘■
P❙❘■
P❙❙❘❛
P❙❙❘❜
P❲■
▼❙❆❱■
❙❇❘■
❙■P■
❙❘P■
❚❈❆❘■
❚●■
❚❱■
❱❖●
❆❘■✶
❆❘■✷
❇●■
❈▲❙■
❈❘■✶
❈❘■✷
❝tr✶
❝tr✷
❝tr✸
❝tr✹
❝tr✺
❝tr✻
❉❱■
❉❲❙■✹
❊●■
❊❱■
●❆❘■
●❉❱■
●❊▼■
❆❜❜r❡✈✐❛t✐♦♥
ARI1 = (1/R550 − 1/R700 )
ARI2 = R800 × 1/R550 − 1/R700
BGI = R450 /R550
CLSI = (R698 − R570 )/(R698 + R570 ) + R734
CRI1 = 1/R510 − 1/R550
CRI2 = 1/R510 − 1/R700
ctr1 = R695 /R420
ctr2 = R695 /R760
ctr3 = R605 /R760
ctr4 = R710 /R760
ctr5 = R695 /R670
ctr6 = R550 /R420
DV I = R800 − R680
DW SI4 = R550 /R680
EGI = 2g − r − b; r−, g−, b − values
EV I = 2.5 × ((R800 − R680 )/(R800 + R680 − 7.5 × R450 + 1))
GARI = (R800 − (R550 − 1.7 × (R450 − R680 ))/(R800 + (R550 − 1.7 × (R450 − R680 ))
GDV I = R800 − R550
2
2
2
2
GEM I = (2 × (R800
− R680
) + 1.5 × R800 + 0.5 × R680 )/(R800 + R680 + 0.5) × (1 − 0.25 × (2 × (R800
− R680
)+
1.5 × R800 + 0.5 × R680 )/(R800 + R680 + 0.5)) − (R680 − 0.125)/(1 − R800 )
GM I1 = R750 /R550
GM I2 = R750 /R700
GN DV I = (R800 − R550 )/(R800 + R550 )
GRV I = R800 /R550
HI = (R534 − R698 )/(R5 34 + R698 ) − 0, 5 × R704
IP V I = R800 /(R800 + R680 )
LAI = (3.618 × EV I − 0.118)
Lic1 = (R800 − R680 )/(R800 + R680 )
Lic2 = R440 /R690
Lic3 = R440 /R740
P
mCAI = ((R545 − R752 ))/2 × (R752 − R545 ) × ( 752
i=545 Ri × 1.423)
M CARI = ((R700 − R670 ) − 0, 2 × (R700 − R550 ) × (R700 /R670 )
M CARI1 = 1.2 × (2.5 × (R800 − R670p
) − 1, 3 × (R800 − R550 )
√
M CARI2 = (1.5 × (2.5 × (R800 − R670 ) − 1.3 × (R800 − R550 ))/ (2 × R800 + 1)2 − (6 × R800 − 5 × R670 − 0.5)
mN DV I705 = (R750 − R705 )/(R750
p+ R705 + 2 × R445 )
M SR705 = (R750 /R705 − 1)/ R750 /R705 + 1
N DV I = (R750 − R705 )/(R750 + R705 )
N DV I705 = (R750 − R705 )/(R750 + R705 )
N P CI = (R680 − R430 )/(R680 + R430 )
N P QI = (R415 − R435 )/(R415 + R435 )
OSAV I = (1 + Y ) × (R800 − R670 )/(R800 + R670 + Y )❀Y = 0.16
P M I = (R520 − R584 )/(R520 + R584 ) + R724
P RI = (R531 − R570 )/(R531 + R570 )
P SRI = (R680 − R500 )/R750
P SSRa = R800 /R680
P SSRb = R800 /R635
P W I = R970 /R900
M SAV I = (R800 − R670 )/(R800 + R670 ) × (1 + L)❀L ∈ (−0, 9 : 1, 6)
SBRI = (R570 − R513 )/(R570 + R513 ) + 0, 5 × R704
SIP I = (R800 − R445 )/(R800 − R680 )
SRP I = R430 /R680
T CARI = 3 × ((R700 − R670 ) − 0, 2 × (R700 − R550 ) × (R700 /R670 ))
T GI = −0, 5 × ((R[665:675] − R[475:485] ) × (R670 − R550 ) − (R[665:675] − R[545:555] ) × (R670 − R480 ))
T V I = 0, 5 × (120 × (R750 − R550 ) − 200 × (R670 − R550 )
V OG1 = R740 /R720
❋♦r♠✉❧❛
❚❛❜❧❡ ✽✳✸✿ ❈♦♠♣❡♥❞✐✉♠ ♦❢ ✐♥❞❡①❡s r❡❧❛t❡❞ t♦ ✐♥ ❱■❙✲ ❛♥❞ ◆■❘✲r❡❣✐♦♥ ♦❢ t❤❡ s♣❡❝tr✉♠✳
❬✺✻❪
❬✺✻❪
❬✺✼❪
❬✺✽❪
❬✹✼❪
❬✺✾❪
❬✻✵❪
❬✻✶❪
❬✻✶❪
❬✻✶❪
❬✻✷❪
❬✻✸❪
❬✻✹❪
❬✻✹❪
❬✻✺❪
❬✻✻❪
❬✸✻❪
❬✻✼❪
❬✻✽❪
❬✻✾❪
❬✸✺❪
❬✹✼❪
❬✼✵❪
❬✼✵❪
❬✼✶❪
❬✼✶❪
❬✼✷❪
❬✸✹❪
❬✹✼❪
❬✼✸❪
❬✼✸❪
❬✻✹❪
❬✼✹❪
❬✼✺❪
❬✼✻❪
❬✹✺❪
❬✹✺❪
❬✹✻❪
❬✹✼❪
❬✹✽❪
❬✹✺❪
❬✹✾❪
❬✹✾❪
❬✹✾❪
❬✹✾❪
❬✹✾❪
❬✹✾❪
❬✸✼❪
❬✺✵❪
❬✺✶❪
❬✺✷❪
❬✺✸❪
❬✺✹❪
❬✺✺❪
▲✐t❡r❛t✉r❡
❈❍❆P❚❊❘ ✽✳
✻✼
❆PP❊◆❉■❳
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✹✿ ■♥❞❡①✲♣❡r❢♦r♠❛♥❝❡ t♦ s❡❣♠❡♥t ❝❛♥♦♣②✲ ❛♥❞ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ♦❢ ❛
❤✐❣❤❧② ❞✐s❡❛s❡❞ s✉❣❛r ❜❡❡t ♣❧❛♥t✳
■♥❞❡①
❘❡❢❡r❡♥❝❡
❈❧❛ss✐✜❝❛t✐♦♥
❇❛❝❦❣r♦✉♥❞ ❈❛♥♦♣②
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✵✽✻✻
✹✼✼
❇❛❝❦❣r♦✉♥❞
✭✪✮
✾✾✳✽✶
✵✳✶✾
❈tr✷ ❈❛♥♦♣② ✭P✐①❡❧s✮
✺✷✶✵
✺✺✾✶
❈❛♥♦♣② ✭✪✮
✹✽✳✷✹
✺✶✳✼✻
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✶✶✾✺
✶✹✽
✭✪✮
✾✾✳✾✹
✵✳✵✻
❈tr✹ ❇❛❝❦❣r♦✉♥❞
❈❛♥♦♣② ✭P✐①❡❧s✮
✾✻✾✺
✶✶✵✻
❈❛♥♦♣② ✭✪✮
✽✾✳✼✻
✶✵✳✷✹
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✶✸✷✺
✶✽
❇❛❝❦❣r♦✉♥❞
✭✪✮
✾✾✳✾✾
✵✳✵✶
❉❱■
❈❛♥♦♣② ✭P✐①❡❧s✮
✻✵✹✷
✹✼✺✾
❈❛♥♦♣② ✭✪✮
✺✺✳✾✹
✹✹✳✵✻
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✶✷✹✻
✾✼
✭✪✮
✾✾✳✾✻
✵✳✵✹
▼❈❆❘■✷ ❇❛❝❦❣r♦✉♥❞
❈❛♥♦♣② ✭P✐①❡❧s✮
✹✺✺✶
✻✷✺✵
❈❛♥♦♣② ✭✪✮
✹✷✳✶✸
✺✼✳✽✼
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✵✽✽✸
✹✻✵
❇❛❝❦❣r♦✉♥❞
✭✪✮
✾✾✳✽✷
✵✳✶✽
♠◆❉❱■✼✵✺ ❈❛♥♦♣② ✭P✐①❡❧s✮
✸✽✾✽
✻✾✵✸
❈❛♥♦♣② ✭✪✮
✸✻✳✵✾
✻✸✳✾✶
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✵✽✼✸
✹✼✵
✭✪✮
✾✾✳✽✶
✵✳✶✾
▼❙❘✼✵✺ ❇❛❝❦❣r♦✉♥❞
❈❛♥♦♣② ✭P✐①❡❧s✮
✺✾✵✵
✹✾✵✶
❈❛♥♦♣② ✭✪✮
✺✹✳✻✷
✹✺✳✸✽
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✵✻✽✷
✻✻✶
❇❛❝❦❣r♦✉♥❞
✭✪✮
✾✾✳✼✹
✵✳✷✻
◆❉❱■✼✵✺ ❈❛♥♦♣② ✭P✐①❡❧s✮
✹✽✻✾
✺✾✸✷
❈❛♥♦♣② ✭✪✮
✹✺✳✵✽
✺✹✳✾✷
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✶✶✷✺
✷✶✽
✭✪✮
✾✾✳✾✶
✵✳✵✾
◆❉❱■ ❇❛❝❦❣r♦✉♥❞
❈❛♥♦♣② ✭P✐①❡❧s✮
✽✺✷✽
✷✷✼✸
❈❛♥♦♣② ✭✪✮
✼✽✳✾✻
✷✶✳✵✹
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
✷✺✵✽✶✻
✺✷✼
✭✪✮
✾✾✳✼✾
✵✳✷✶
❖❙❆❱■ ❇❛❝❦❣r♦✉♥❞
❈❛♥♦♣② ✭P✐①❡❧s✮
✷✾✺✺
✼✽✹✻
❈❛♥♦♣② ✭✪✮
✷✼✳✸✻ ✼✷✳✻✹
❚❤r❡s❤♦❧❞✐♥❣✲✐♥❞❡①✲✈❛❧✉❡s✿ ❈tr✷< 0.4 ❀ ❈tr✹< 0.5❀ ❉❱■> 0.4❀ ▼❈❆❘■✷> 0.4❀
♠◆❉❱■✼✵✺> 0.2❀ ▼❙❘✼✵✺> 0.55❀ ◆❉❱■✼✵✺> 0.3❀ ◆❉❱■> 0.7❀ ❖❙❆❱■> 0.45✳
✻✽
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✺✿ P❡r❢♦r♠❛♥❝❡ ♦❢ ❛ ❉❱■✲✱ ❖❙❆❱■✲ ❛♥❞ ❞♦✉❜❧❡✲♠❛s❦ t♦ s❡❣♠❡♥t ❝❛♥♦♣②✲
❛♥❞ ❜❛❝❦❣r♦✉♥❞✲♣✐①❡❧s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶ ❞❜✐✱ ✸ ✱
✼✱ ✶✵✱ ✶✷ ❛♥❞ ✶✼ ❞❛✐✳
❚r❡❛t♠❡♥t ❉❛t❡
✧▲♦✇ ■✳✧
✶ ❞❜✐
✧❍✐❣❤ ■✳✧
✶ ❞❜✐
✧▲♦✇ ■✳✧
✸ ❞❛✐
✧❈♦♥tr♦❧✧
✼ ❞❛✐
✧❍✐❣❤ ■✳✧
✼ ❞❛✐
✧❈♦♥tr♦❧✧
✶✵ ❞❛✐
✧▲♦✇ ■✳✧
✶✵ ❞❛✐
✧❍✐❣❤ ■✳✧
✶✷ ❞❛✐
✧▲♦✇ ■✳✧
✶✹ ❞❛✐
✧❍✐❣❤ ■✳✧
✶✼ ❞❛✐
❘❡❢❡r❡♥❝❡
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❇❛❝❦❣r♦✉♥❞ ✭P✐①❡❧s✮
❇❛❝❦❣r♦✉♥❞ ✭✪✮
❈❛♥♦♣② ✭P✐①❡❧s✮
❈❛♥♦♣② ✭✪✮
❈❧❛ss✐✜❝❛t✐♦♥
❉❱■ ■♥❞❡①
❖❙❆❱■ ■♥❞❡①
❉✳▼❆❙❑
❇❛❝❦❣r♦✉♥❞ ❈❛♥♦♣② ❇❛❝❦❣r♦✉♥❞ ❈❛♥♦♣② ❇❛❝❦❣r♦✉♥❞ ❈❛♥♦♣②
✶✽✼✸✻✾
✾✾✳✽✸
✺✸✼✷
✼✳✷✷
✷✵✻✺✷✾
✾✾✳✾✻
✼✸✾✾
✶✸✳✸✷
✶✾✾✶✷✹
✾✾✳✾✻
✺✽✼✻
✾✳✸✸
✶✾✼✺✼✾
✾✾✳✽✻
✼✵✻✸
✶✵✳✾✾
✷✶✷✵✼✵
✾✾✳✾✶
✻✼✶✷
✶✸✳✹✺
✷✶✷✺✾✼
✾✾✳✾✵
✹✶✶✼
✽✳✸✹
✷✵✵✶✷✹
✾✾✳✽✻
✺✺✻✺
✾✳✵✶
✷✸✶✵✾✺
✾✾✳✾✽
✽✻✸✹
✷✼✳✽✺
✷✹✾✽✸✽
✾✾✳✾✾
✼✵✻✵
✺✼✳✺✵
✷✺✶✸✷✺
✾✾✳✾✾
✻✵✹✷
✺✺✳✾✹
✸✷✹
✵✳✶✼
✻✾✵✼✾
✾✷✳✼✽
✽✼
✵✳✵✹
✹✽✶✷✾
✽✻✳✻✽
✼✶
✵✳✵✹
✺✼✵✼✸
✾✵✳✻✼
✷✼✾
✵✳✶✹
✺✼✷✷✸
✽✾✳✵✶
✶✽✶
✵✳✵✾
✹✸✶✽✶
✽✻✳✺✺
✷✶✵
✵✳✶✵
✹✺✷✷✵
✾✶✳✻✻
✷✼✸
✵✳✶✹
✺✻✶✽✷
✾✵✳✾✾
✹✺
✵✳✵✷
✷✷✸✼✵
✼✷✳✶✺
✷✼
✵✳✵✶
✺✷✶✾
✹✷✳✺✵
✶✽
✵✳✵✶
✹✼✺✾
✹✹✳✵✻
✻✾
✶✽✻✵✹✼
✾✾✳✶✷
✶✵✺✶
✶✳✹✶
✷✵✻✵✹✹
✾✾✳✼✷
✷✽✻✵
✺✳✶✺
✶✾✽✻✵✸
✾✾✳✼✵
✷✹✾✶
✸✳✾✻
✶✾✻✻✻✷
✾✾✳✹✵
✷✷✺✷
✸✳✺✵
✷✶✶✷✶✺
✾✾✳✺✶
✷✷✻✼
✹✳✺✹
✷✶✶✽✷✻
✾✾✳✺✹
✶✼✽✾
✸✳✻✸
✶✾✾✶✹✸
✾✾✳✸✼
✷✸✸✵
✸✳✼✼
✷✸✵✺✵✹
✾✾✳✼✷
✹✺✹✷
✶✹✳✻✺
✷✹✾✺✹✽
✾✾✳✽✼
✸✸✼✻
✷✼✳✹✾
✷✺✵✽✶✻
✾✾✳✼✾
✷✾✺✺
✷✼✳✸✻
✶✻✹✻
✵✳✽✽
✼✸✹✵✵
✾✽✳✺✾
✺✼✷
✵✳✷✽
✺✷✻✻✽
✾✹✳✽✺
✺✾✷
✵✳✸✵
✻✵✹✺✽
✾✻✳✵✹
✶✶✾✻
✵✳✻✵
✻✷✵✸✹
✾✻✳✺✵
✶✵✸✻
✵✳✹✾
✹✼✻✷✻
✾✺✳✹✻
✾✽✶
✵✳✹✻
✹✼✺✹✽
✾✻✳✸✼
✶✷✺✹
✵✳✻✸
✺✾✹✶✼
✾✻✳✷✸
✻✸✻
✵✳✷✽
✷✻✹✻✷
✽✺✳✸✺
✸✶✼
✵✳✶✸
✽✾✵✸
✼✷✳✺✶
✺✷✼
✵✳✷✶
✼✽✹✻
✼✷✳✻✹
✶✽✻✵✹✼
✾✾✳✶✷
✾✽✾
✶✳✸✸
✷✵✻✵✹✹
✾✾✳✼✷
✷✽✻✵
✺✳✶✺
✶✾✽✻✵✸
✾✾✳✼✵
✷✹✽✼
✸✳✾✺
✶✾✻✻✻✶
✾✾✳✹✵
✷✵✾✶
✸✳✷✺
✷✶✶✷✶✸
✾✾✳✺✶
✷✶✷✽
✹✳✷✼
✷✶✶✽✷✻
✾✾✳✺✹
✶✼✸✵
✸✳✺✶
✶✾✾✶✹✸
✾✾✳✸✼
✷✸✶✵
✸✳✼✹
✷✸✵✺✵✹
✾✾✳✼✷
✸✾✽✷
✶✷✳✽✹
✷✹✾✺✹✼
✾✾✳✽✼
✸✶✷✹
✷✺✳✹✹
✷✺✵✽✶✻
✾✾✳✼✾
✷✽✵✼
✷✺✳✾✾
✶✻✹✻
✵✳✽✽
✼✸✹✻✷
✾✽✳✻✼
✺✼✷
✵✳✷✽
✺✷✻✻✽
✾✹✳✽✺
✺✾✷
✵✳✸✵
✻✵✹✻✷
✾✻✳✵✺
✶✶✾✼
✵✳✻✵
✻✷✶✾✺
✾✻✳✼✺
✶✵✸✽
✵✳✹✾
✹✼✼✻✺
✾✺✳✼✸
✾✽✶
✵✳✹✻
✹✼✻✵✼
✾✻✳✹✾
✶✷✺✹
✵✳✻✸
✺✾✹✸✼
✾✻✳✷✻
✻✸✻
✵✳✷✽
✷✼✵✷✷
✽✼✳✶✻
✸✶✽
✵✳✶✸
✾✶✺✺
✼✹✳✺✻
✺✷✼
✵✳✷✶
✼✾✾✹
✼✹✳✵✶
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✻✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ t❤✐r❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ ❜❛❝❦❣r♦✉♥❞ ❛♥❞ ❜❡❡t P❈❆✲❛♥❛❧②s✐s✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✸❪ ⑤ r ⑤
❬✹✺✶ ♥♠❪
✵✳✶✶
✵✳✶✶
❬✼✾✺ ♥♠❪
✲✵✳✶✵
✵✳✶✵
❬✼✾✽ ♥♠❪
❬✼✾✷ ♥♠❪
❬✽✵✵ ♥♠❪
❬✼✽✾ ♥♠❪
❬✽✵✸ ♥♠❪
❬✼✽✻ ♥♠❪
❬✼✽✸ ♥♠❪
❬✽✵✻ ♥♠❪
❬✼✽✵ ♥♠❪
❬✽✵✾ ♥♠❪
❬✼✼✼ ♥♠❪
❬✼✼✹ ♥♠❪
❬✽✶✷ ♥♠❪
❬✼✼✶ ♥♠❪
❬✽✶✺ ♥♠❪
❬✼✻✽ ♥♠❪
❬✼✻✺ ♥♠❪
❬✽✶✽ ♥♠❪
❬✼✻✷ ♥♠❪
❬✼✺✾ ♥♠❪
❬✽✷✶ ♥♠❪
❬✼✺✻ ♥♠❪
❬✼✺✸ ♥♠❪
❬✽✷✹ ♥♠❪
❬✼✺✵ ♥♠❪
❬✼✹✼ ♥♠❪
❬✽✷✼ ♥♠❪
❬✼✹✹ ♥♠❪
❬✼✹✶ ♥♠❪
❬✽✸✵ ♥♠❪
❬✼✸✽ ♥♠❪
❬✽✸✸ ♥♠❪
❬✼✸✺ ♥♠❪
❬✼✸✷ ♥♠❪
❬✽✸✻ ♥♠❪
❬✼✷✾ ♥♠❪
❬✽✸✾ ♥♠❪
❬✼✷✻ ♥♠❪
❬✽✹✷ ♥♠❪
❬✼✷✸ ♥♠❪
❬✺✷✾ ♥♠❪
❬✺✸✷ ♥♠❪
❬✾✹✹ ♥♠❪
❬✽✹✺ ♥♠❪
❬✼✷✵ ♥♠❪
❬✺✸✺ ♥♠❪
❬✺✸✽ ♥♠❪
❬✽✹✽ ♥♠❪
❬✼✶✼ ♥♠❪
❬✺✹✶ ♥♠❪
❬✺✹✹ ♥♠❪
❬✽✺✶ ♥♠❪
❬✺✹✼ ♥♠❪
❬✼✶✹ ♥♠❪
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✶✵
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✾
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✽
✲✵✳✵✼
✲✵✳✵✼
✲✵✳✵✼
✲✵✳✵✼
✲✵✳✵✼
✵✳✵✼
✵✳✵✻
✵✳✵✻
✲✵✳✵✻
✲✵✳✵✻
✵✳✵✻
✵✳✵✻
✲✵✳✵✻
✲✵✳✵✻
✵✳✵✻
✵✳✵✻
✲✵✳✵✺
✵✳✵✺
✲✵✳✵✺
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✻
✵✳✵✺
✵✳✵✺
✵✳✵✺
❇❛♥❞
❬✾✹✶ ♥♠❪
❬✺✺✵ ♥♠❪
❬✺✺✸ ♥♠❪
❬✽✺✹ ♥♠❪
❬✺✺✻ ♥♠❪
❬✺✺✾ ♥♠❪
❬✼✶✶ ♥♠❪
❬✺✻✷ ♥♠❪
❬✺✻✺ ♥♠❪
❬✽✺✼ ♥♠❪
❬✺✻✽ ♥♠❪
❬✺✼✶ ♥♠❪
❬✾✸✽ ♥♠❪
❬✼✵✽ ♥♠❪
❬✺✼✹ ♥♠❪
❬✺✼✼ ♥♠❪
❬✽✻✵ ♥♠❪
❬✺✼✾ ♥♠❪
❬✺✽✷ ♥♠❪
❬✺✽✺ ♥♠❪
❬✼✵✺ ♥♠❪
❬✺✽✽ ♥♠❪
❬✽✻✸ ♥♠❪
❬✾✸✺ ♥♠❪
❬✺✾✶ ♥♠❪
❬✺✾✹ ♥♠❪
❬✺✾✼ ♥♠❪
❬✼✵✷ ♥♠❪
❬✻✵✵ ♥♠❪
❬✽✻✻ ♥♠❪
❬✻✵✸ ♥♠❪
❬✻✵✻ ♥♠❪
❬✻✵✾ ♥♠❪
❬✾✸✷ ♥♠❪
❬✻✶✷ ♥♠❪
❬✽✻✾ ♥♠❪
❬✻✾✾ ♥♠❪
❬✻✶✺ ♥♠❪
❬✻✶✽ ♥♠❪
❬✻✷✶ ♥♠❪
❬✻✷✹ ♥♠❪
❬✽✼✷ ♥♠❪
❬✾✷✾ ♥♠❪
❬✻✷✼ ♥♠❪
❬✻✾✻ ♥♠❪
❬✻✸✵ ♥♠❪
❬✻✸✸ ♥♠❪
❬✻✸✻ ♥♠❪
❬✽✼✺ ♥♠❪
❬✻✸✾ ♥♠❪
❬✻✹✷ ♥♠❪
❬✾✷✻ ♥♠❪
❬✻✹✺ ♥♠❪
❬✻✹✽ ♥♠❪
❬✻✺✶ ♥♠❪
❬✻✾✸ ♥♠❪
r ❬P❈✸❪ ⑤ r ⑤
✵✳✵✺
✵✳✵✺
✵✳✵✺
✲✵✳✵✺
✵✳✵✺
✵✳✵✺
✲✵✳✵✺
✵✳✵✺
✵✳✵✺
✲✵✳✵✺
✵✳✵✺
✵✳✵✹
✵✳✵✹
✲✵✳✵✹
✵✳✵✹
✵✳✵✹
✲✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✲✵✳✵✹
✵✳✵✹
✲✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✸
✵✳✵✸
✲✵✳✵✸
✵✳✵✸
✲✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✲✵✳✵✸
✲✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✷
✲✵✳✵✷
✵✳✵✷
✵✳✵✷
✲✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✲✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✲✵✳✵✷
✭✐t❛❧✐❝ ❢♦♥t ✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✺
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✹
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✸
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
❇❛♥❞
❬✻✺✹ ♥♠❪
❬✽✼✽ ♥♠❪
❬✻✺✼ ♥♠❪
❬✻✻✵ ♥♠❪
❬✾✷✸ ♥♠❪
❬✻✻✸ ♥♠❪
❬✽✽✶ ♥♠❪
❬✻✻✻ ♥♠❪
❬✻✾✵ ♥♠❪
❬✾✷✵ ♥♠❪
❬✻✻✾ ♥♠❪
❬✽✽✹ ♥♠❪
❬✻✼✷ ♥♠❪
❬✾✶✼ ♥♠❪
❬✽✽✼ ♥♠❪
❬✻✽✼ ♥♠❪
❬✾✶✹ ♥♠❪
❬✻✼✺ ♥♠❪
❬✽✾✵ ♥♠❪
❬✾✶✶ ♥♠❪
❬✽✾✸ ♥♠❪
❬✻✽✹ ♥♠❪
❬✻✼✽ ♥♠❪
❬✾✵✽ ♥♠❪
❬✽✾✻ ♥♠❪
❬✾✵✺ ♥♠❪
❬✽✾✾ ♥♠❪
❬✾✵✷ ♥♠❪
❬✺✷✻ ♥♠❪
❬✺✷✸ ♥♠❪
❬✺✷✵ ♥♠❪
❬✾✹✼ ♥♠❪
❬✺✶✼ ♥♠❪
❬✺✶✹ ♥♠❪
❬✺✶✶ ♥♠❪
❬✺✵✽ ♥♠❪
❬✺✵✺ ♥♠❪
❬✺✵✷ ♥♠❪
❬✾✺✵ ♥♠❪
❬✹✾✾ ♥♠❪
❬✹✾✻ ♥♠❪
❬✹✾✸ ♥♠❪
❬✹✾✵ ♥♠❪
❬✹✽✼ ♥♠❪
❬✹✽✹ ♥♠❪
❬✹✽✶ ♥♠❪
❬✹✼✽ ♥♠❪
❬✹✼✺ ♥♠❪
❬✹✼✷ ♥♠❪
❬✹✻✾ ♥♠❪
❬✹✻✻ ♥♠❪
❬✹✻✸ ♥♠❪
❬✹✻✵ ♥♠❪
❬✹✺✼ ♥♠❪
❬✹✺✹ ♥♠❪
❬✻✽✶ ♥♠❪
✼✵
r ❬P❈✸❪ ⑤ r ⑤
✵✳✵✷
✲✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✶
✵✳✵✶
✲✵✳✵✶
✵✳✵✶
✲✵✳✵✶
✵✳✵✶
✵✳✵✶
✲✵✳✵✶
✵✳✵✶
✵✳✵✶
✲✵✳✵✶
✲✵✳✵✶
✵✳✵✶
✵✳✵✶
✲✵✳✵✶
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✵✵
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✷
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✶
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✵
✵✳✵✼
✵✳✵✼
✵✳✵✼
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✽
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✵✾
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✵
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✶✶
✵✳✵✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Summary of principal component analysis
Reflectance
17 d a i
14 d a i
●
●
●
●
●
●●
● ●
●
●
●
●
●
●
0
●
●
● ●
●
●
●
●
● ●
● ●
●
●
●
●
● ●●
●
● ●
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
● ●●
●
●●
● ●
●
●
−4
●
●
●
●
● ●
●
●
●
●
●
●
−5.0
●
0
0.0
●
−3
●
●
●
● ●
●
●
●
●
●
●
●
●
●
2.5
●
●
−5
●
●
0
5
−
10 d a i
●
PC2 (30.0% var.)
●
●
●
●
●
●
0
●
●
●
●
●
●
●
−2
●
●
●
●
●
●
● ●
●
●
●
●
●
●
−
−10
●
●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
2.5
●
●
●
●
0.0
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
●
●●
●
−5
5
PC1 (68.2% var.)
●
●
●
●
●
0
●
−2.5
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
−5
●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
5.0
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
●
●
●
●
●
●
●
−4
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
PC2 (17.3% var.)
4
●
10
PC1 (64.2% var.)
●
12 d a i
2●
●
●
●
●
●
−2.5
●
●
●
●
PC1 (62.3% var.)
●
●
●
●
●
●
●
●
●
●
●
●
−
3
PC2 (33.5% var.)
PC2 (33.0% var.)
●
●
●
●
●
●
● ●
● ●
4
●
●
6
0
5
10
PC1 (81.7% var.)
●
−
5dai
7dai
4
●
0
●
●
●
●
●●
●
●
−2
●
●
●● ●●
● ●
● ●●
●●
●
●
●
●
●
● ●
●
●
●
●
●● ●●
●
● ●
● ●
●
●
●
●
●
−5
0
●
5
●
●
●
●
● ● ● ●●
●
● ●
●
●
●
●
●
● ●●
●
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
−5
0
1dbi
5.0
●●
●
●
●
●
●
●
●
●
●
●
0
●
●
● ●
●
●
−3
●
●
●
●
●
●
●
●●
●
●
●
●
●
●
−5
●
●
●
●
●
●●
●
●
●
●
●
●
●
●
●●
●
●
● ●
●
●
●
●
●
●
●
●
●●
●●
●
●
0.0
●
●
●
Control
●
●
●
●●
●
●
●
−2.5
●
Group
● ●
●
●
●
●
●
●●
●●
●
●
●
●
●
●
Label
●
●
●
●
●
−5
Label
●
●
●
●
●
●
●
●
●
●
Control
●
●
0
5
10
PC1 (90.8% var.)
●
−
●
●●
●
●
Inoculated
●
●
●
●
●
5
●
●
●
●
−5.0
●
0
●
●
●
PC1 (89.8%
var.)
−
Group
●
●
●●
●
●
●
●
●
−
●
●
●
●
●
Label
●
●
●
2.5
●
●
●
●
● ●
●● ●
●
●● ●
● ●
●
●
●
●●
●
●
●
PC2 (7.7% var.)
●
PC2 (8.4% var.)
●
●
5
PC1 (93.4% var.)
−
●
●
●
●
●
●
●
● ● ● ●●
●
●
●
●
●
●
● ●●
●
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
3
●
●
●
●
3dai
●
●
●
●
●
10
PC1 (95.2% var.)
●
0.0
−2.5
●
●
−
●
●
●
●
●
−4
PC2 (5.7% var.)
PC2 (4.4% var.)
●
●
● ●
2.5
●
●
●
●●
2
●
●
●
●
●
●
●
●
●
Group
●
Control
●
Inoculated
Inoculated
❋✐❣✉r❡ ✽✳✷✿ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ r❡✢❡❝t❛♥❝❡
✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲
❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s ❞✐st❛♥❝❡✳
✼✶
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✼✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢
❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡
✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✻✶✽ ♥♠❪
✵✳✾✶✾
✵✳✾✶✾
❬✻✶✺ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✻✷✶ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✻✷✹ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✻✶✷ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✻✷✼ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✻✸✵ ♥♠❪
✵✳✾✶✼
✵✳✾✶✼
❬✻✵✾ ♥♠❪
✵✳✾✶✻
✵✳✾✶✻
❬✻✸✸ ♥♠❪
✵✳✾✶✻
✵✳✾✶✻
❬✻✸✻ ♥♠❪
✵✳✾✶✹
✵✳✾✶✹
❬✻✵✻ ♥♠❪
✵✳✾✶✹
✵✳✾✶✹
❬✻✸✾ ♥♠❪
✵✳✾✶✷
✵✳✾✶✷
❬✻✵✸ ♥♠❪
✵✳✾✶✶
✵✳✾✶✶
❬✻✹✷ ♥♠❪
✵✳✾✶✵
✵✳✾✶✵
❬✻✹✺ ♥♠❪
✵✳✾✵✻
✵✳✾✵✻
❬✻✵✵ ♥♠❪
✵✳✾✵✻
✵✳✾✵✻
❬✻✾✵ ♥♠❪
✵✳✾✵✶
✵✳✾✵✶
❬✻✹✽ ♥♠❪
✵✳✾✵✶
✵✳✾✵✶
❬✻✽✼ ♥♠❪
✵✳✾✵✶
✵✳✾✵✶
❬✺✾✼ ♥♠❪
✵✳✾✵✵
✵✳✾✵✵
❬✻✾✸ ♥♠❪
❬✻✽✹ ♥♠❪
❬✻✺✶ ♥♠❪
❬✺✾✹ ♥♠❪
❬✻✽✶ ♥♠❪
❬✻✾✻ ♥♠❪
❬✻✼✽ ♥♠❪
❬✻✺✹ ♥♠❪
❬✺✾✶ ♥♠❪
❬✻✼✺ ♥♠❪
❬✻✾✾ ♥♠❪
❬✻✺✼ ♥♠❪
❬✻✼✷ ♥♠❪
❬✺✽✽ ♥♠❪
❬✻✻✵ ♥♠❪
❬✻✻✾ ♥♠❪
❬✻✻✸ ♥♠❪
❬✻✻✻ ♥♠❪
❬✽✺✶ ♥♠❪
❬✽✺✼ ♥♠❪
❬✽✺✹ ♥♠❪
❬✽✹✽ ♥♠❪
❬✽✻✵ ♥♠❪
❬✽✹✺ ♥♠❪
❬✼✼✼ ♥♠❪
❬✽✻✸ ♥♠❪
❬✼✼✹ ♥♠❪
❬✼✽✵ ♥♠❪
❬✽✻✻ ♥♠❪
❬✽✹✷ ♥♠❪
❬✽✼✷ ♥♠❪
❬✼✽✸ ♥♠❪
❬✽✻✾ ♥♠❪
❬✽✼✺ ♥♠❪
❬✺✽✺ ♥♠❪
❬✽✸✾ ♥♠❪
✭✐t❛❧✐❝
✵✳✽✾✾
✵✳✽✾✽
✵✳✽✾✹
✵✳✽✾✸
✵✳✽✾✸
✵✳✽✾✷
✵✳✽✽✼
✵✳✽✽✼
✵✳✽✽✹
✵✳✽✽✵
✵✳✽✼✾
✵✳✽✼✾
✵✳✽✼✹
✵✳✽✼✸
✵✳✽✼✷
✵✳✽✻✾
✵✳✽✻✽
✵✳✽✻✼
✲✵✳✽✻✷
✲✵✳✽✻✷
✲✵✳✽✻✷
✲✵✳✽✻✷
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✲✵✳✽✻✶
✵✳✽✻✶
✲✵✳✽✻✶
❢♦♥t
✵✳✽✾✾
✵✳✽✾✽
✵✳✽✾✹
✵✳✽✾✸
✵✳✽✾✸
✵✳✽✾✷
✵✳✽✽✼
✵✳✽✽✼
✵✳✽✽✹
✵✳✽✽✵
✵✳✽✼✾
✵✳✽✼✾
✵✳✽✼✹
✵✳✽✼✸
✵✳✽✼✷
✵✳✽✻✾
✵✳✽✻✽
✵✳✽✻✼
✵✳✽✻✷
✵✳✽✻✷
✵✳✽✻✷
✵✳✽✻✷
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✶
❇❛♥❞ r ❬P❈✶❪
❬✼✼✶ ♥♠❪ ✲✵✳✽✻✶
❬✽✼✽ ♥♠❪ ✲✵✳✽✻✶
❬✼✽✻ ♥♠❪ ✲✵✳✽✻✵
❬✽✽✶ ♥♠❪ ✲✵✳✽✻✵
❬✽✸✻ ♥♠❪ ✲✵✳✽✻✵
❬✼✽✾ ♥♠❪ ✲✵✳✽✻✵
❬✽✸✸ ♥♠❪ ✲✵✳✽✻✵
❬✽✽✹ ♥♠❪ ✲✵✳✽✻✵
❬✼✾✷ ♥♠❪ ✲✵✳✽✻✵
❬✼✵✷ ♥♠❪
✵✳✽✻✵
❬✽✸✵ ♥♠❪ ✲✵✳✽✺✾
❬✽✽✼ ♥♠❪ ✲✵✳✽✺✾
❬✼✻✽ ♥♠❪ ✲✵✳✽✺✾
❬✼✾✺ ♥♠❪ ✲✵✳✽✺✾
❬✽✷✼ ♥♠❪ ✲✵✳✽✺✾
❬✽✾✵ ♥♠❪ ✲✵✳✽✺✾
❬✼✾✽ ♥♠❪ ✲✵✳✽✺✾
❬✽✾✸ ♥♠❪ ✲✵✳✽✺✾
❬✽✷✹ ♥♠❪ ✲✵✳✽✺✾
❬✽✵✵ ♥♠❪ ✲✵✳✽✺✾
❬✽✾✾ ♥♠❪ ✲✵✳✽✺✾
❬✽✾✻ ♥♠❪ ✲✵✳✽✺✾
❬✽✷✶ ♥♠❪ ✲✵✳✽✺✾
❬✾✵✺ ♥♠❪ ✲✵✳✽✺✽
❬✾✵✷ ♥♠❪ ✲✵✳✽✺✽
❬✾✵✽ ♥♠❪ ✲✵✳✽✺✽
❬✾✶✶ ♥♠❪ ✲✵✳✽✺✽
❬✾✶✹ ♥♠❪ ✲✵✳✽✺✽
❬✽✵✸ ♥♠❪ ✲✵✳✽✺✽
❬✽✶✽ ♥♠❪ ✲✵✳✽✺✽
❬✾✶✼ ♥♠❪ ✲✵✳✽✺✽
❬✾✷✵ ♥♠❪ ✲✵✳✽✺✽
❬✽✶✷ ♥♠❪ ✲✵✳✽✺✽
❬✾✷✸ ♥♠❪ ✲✵✳✽✺✽
❬✽✶✺ ♥♠❪ ✲✵✳✽✺✽
❬✽✵✻ ♥♠❪ ✲✵✳✽✺✽
❬✾✷✻ ♥♠❪ ✲✵✳✽✺✽
❬✽✵✾ ♥♠❪ ✲✵✳✽✺✽
❬✾✷✾ ♥♠❪ ✲✵✳✽✺✽
❬✼✻✺ ♥♠❪ ✲✵✳✽✺✼
❬✾✸✷ ♥♠❪ ✲✵✳✽✺✼
❬✾✸✺ ♥♠❪ ✲✵✳✽✺✼
❬✾✸✽ ♥♠❪ ✲✵✳✽✺✻
❬✾✹✶ ♥♠❪ ✲✵✳✽✺✻
❬✾✹✹ ♥♠❪ ✲✵✳✽✺✺
❬✼✻✷ ♥♠❪ ✲✵✳✽✺✹
❬✾✹✼ ♥♠❪ ✲✵✳✽✺✹
❬✾✺✵ ♥♠❪ ✲✵✳✽✺✷
❬✼✺✾ ♥♠❪ ✲✵✳✽✹✾
❬✺✽✷ ♥♠❪
✵✳✽✹✺
❬✼✺✻ ♥♠❪ ✲✵✳✽✹✸
❬✼✺✸ ♥♠❪ ✲✵✳✽✸✸
❬✼✵✺ ♥♠❪
✵✳✽✸✵
❬✺✼✾ ♥♠❪
✵✳✽✷✽
❬✼✺✵ ♥♠❪ ✲✵✳✽✷✵
❬✺✼✼ ♥♠❪
✵✳✽✵✼
⑤r⑤
✵✳✽✻✶
✵✳✽✻✶
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✻✵
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✾
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✽
✵✳✽✺✼
✵✳✽✺✼
✵✳✽✺✼
✵✳✽✺✻
✵✳✽✺✻
✵✳✽✺✺
✵✳✽✺✹
✵✳✽✺✹
✵✳✽✺✷
✵✳✽✹✾
✵✳✽✹✺
✵✳✽✹✸
✵✳✽✸✸
✵✳✽✸✵
✵✳✽✷✽
✵✳✽✷✵
✵✳✽✵✼
❇❛♥❞ r ❬P❈✶❪
❬✼✹✼ ♥♠❪ ✲✵✳✽✵✷
❬✼✵✽ ♥♠❪
✵✳✼✽✺
❬✺✼✹ ♥♠❪
✵✳✼✽✸
❬✼✹✹ ♥♠❪ ✲✵✳✼✼✻
❬✺✵✽ ♥♠❪
✵✳✼✻✸
❬✺✶✶ ♥♠❪
✵✳✼✻✷
❬✺✵✺ ♥♠❪
✵✳✼✻✵
❬✺✼✶ ♥♠❪
✵✳✼✺✼
❬✺✶✹ ♥♠❪
✵✳✼✺✼
❬✺✵✷ ♥♠❪
✵✳✼✺✶
❬✺✶✼ ♥♠❪
✵✳✼✹✼
❬✼✹✶ ♥♠❪ ✲✵✳✼✸✽
❬✺✷✵ ♥♠❪
✵✳✼✸✺
❬✹✾✾ ♥♠❪
✵✳✼✸✹
❬✺✻✽ ♥♠❪
✵✳✼✷✾
❬✺✷✸ ♥♠❪
✵✳✼✷✵
❬✼✶✶ ♥♠❪
✵✳✼✶✾
❬✹✾✻ ♥♠❪
✵✳✼✶✵
❬✺✷✻ ♥♠❪
✵✳✼✵✹
❬✺✻✺ ♥♠❪
✵✳✼✵✷
❬✺✷✾ ♥♠❪
✵✳✻✽✼
❬✼✸✽ ♥♠❪ ✲✵✳✻✽✷
❬✺✻✷ ♥♠❪
✵✳✻✼✻
❬✺✸✷ ♥♠❪
✵✳✻✻✾
❬✹✾✸ ♥♠❪
✵✳✻✻✾
❬✺✺✾ ♥♠❪
✵✳✻✺✸
❬✺✸✺ ♥♠❪
✵✳✻✺✷
❬✺✸✽ ♥♠❪
✵✳✻✸✼
❬✺✺✻ ♥♠❪
✵✳✻✸✺
❬✺✹✶ ♥♠❪
✵✳✻✷✺
❬✺✺✸ ♥♠❪
✵✳✻✷✸
❬✼✶✹ ♥♠❪
✵✳✻✷✷
❬✹✾✵ ♥♠❪
✵✳✻✶✽
❬✺✹✹ ♥♠❪
✵✳✻✶✼
❬✺✺✵ ♥♠❪
✵✳✻✶✻
❬✺✹✼ ♥♠❪
✵✳✻✶✹
❬✼✸✺ ♥♠❪ ✲✵✳✻✵✷
❬✹✽✼ ♥♠❪
✵✳✺✺✻
❬✼✸✷ ♥♠❪ ✲✵✳✹✽✾
❬✼✶✼ ♥♠❪
✵✳✹✽✺
❬✹✽✹ ♥♠❪
✵✳✹✽✸
❬✹✽✶ ♥♠❪
✵✳✹✵✸
❬✼✷✾ ♥♠❪ ✲✵✳✸✸✹
❬✹✼✽ ♥♠❪
✵✳✸✶✾
❬✼✷✵ ♥♠❪
✵✳✸✵✹
❬✹✼✺ ♥♠❪
✵✳✷✸✻
❬✹✺✶ ♥♠❪
✵✳✶✻✽
❬✹✼✷ ♥♠❪
✵✳✶✻✶
❬✼✷✻ ♥♠❪ ✲✵✳✶✸✽
❬✹✻✾ ♥♠❪
✵✳✵✾✽
❬✹✺✹ ♥♠❪
✵✳✵✾✹
❬✼✷✸ ♥♠❪
✵✳✵✽✻
❬✹✻✻ ♥♠❪
✵✳✵✺✸
❬✹✺✼ ♥♠❪
✵✳✵✹✻
❬✹✻✸ ♥♠❪
✵✳✵✷✼
❬✹✻✵ ♥♠❪
✵✳✵✷✹
✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✷
⑤r⑤
✵✳✽✵✷
✵✳✼✽✺
✵✳✼✽✸
✵✳✼✼✻
✵✳✼✻✸
✵✳✼✻✷
✵✳✼✻✵
✵✳✼✺✼
✵✳✼✺✼
✵✳✼✺✶
✵✳✼✹✼
✵✳✼✸✽
✵✳✼✸✺
✵✳✼✸✹
✵✳✼✷✾
✵✳✼✷✵
✵✳✼✶✾
✵✳✼✶✵
✵✳✼✵✹
✵✳✼✵✷
✵✳✻✽✼
✵✳✻✽✷
✵✳✻✼✻
✵✳✻✻✾
✵✳✻✻✾
✵✳✻✺✸
✵✳✻✺✷
✵✳✻✸✼
✵✳✻✸✺
✵✳✻✷✺
✵✳✻✷✸
✵✳✻✷✷
✵✳✻✶✽
✵✳✻✶✼
✵✳✻✶✻
✵✳✻✶✹
✵✳✻✵✷
✵✳✺✺✻
✵✳✹✽✾
✵✳✹✽✺
✵✳✹✽✸
✵✳✹✵✸
✵✳✸✸✹
✵✳✸✶✾
✵✳✸✵✹
✵✳✷✸✻
✵✳✶✻✽
✵✳✶✻✶
✵✳✶✸✽
✵✳✵✾✽
✵✳✵✾✹
✵✳✵✽✻
✵✳✵✺✸
✵✳✵✹✻
✵✳✵✷✼
✵✳✵✷✹
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✽✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ s❡❝♦♥❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢
❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✹ ❞❛✐✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡
✈❛❧✉❡s✳
❇❛♥❞ r ❬P❈✷❪
❬✻✽✹ ♥♠❪
✵✳✼✽✼
❬✻✽✶ ♥♠❪
✵✳✼✽✻
❬✻✽✼ ♥♠❪
✵✳✼✽
❬✻✸✸ ♥♠❪
✵✳✼✼✾
❬✻✸✻ ♥♠❪
✵✳✼✼✾
❬✻✼✽ ♥♠❪
✵✳✼✼✾
❬✻✸✵ ♥♠❪
✵✳✼✼✽
❬✻✸✾ ♥♠❪
✵✳✼✼✽
❬✻✷✼ ♥♠❪
✵✳✼✼✼
❬✻✷✹ ♥♠❪
✵✳✼✼✺
❬✻✹✷ ♥♠❪
✵✳✼✼✺
❬✻✷✶ ♥♠❪
✵✳✼✼✸
❬✻✶✽ ♥♠❪
✵✳✼✼✶
❬✻✹✺ ♥♠❪
✵✳✼✼✶
❬✻✶✺ ♥♠❪
✵✳✼✻✽
❬✻✼✺ ♥♠❪
✵✳✼✻✼
❬✻✾✵ ♥♠❪
✵✳✼✻✺
❬✻✶✷ ♥♠❪
✵✳✼✻✹
❬✻✹✽ ♥♠❪
✵✳✼✻✸
❬✻✵✾ ♥♠❪
✵✳✼✺✽
❬✻✼✷ ♥♠❪
✵✳✼✺✸
❬✻✺✶ ♥♠❪
✵✳✼✺✸
❬✻✵✻ ♥♠❪
✵✳✼✺✶
❬✻✺✹ ♥♠❪
✵✳✼✹✷
❬✻✵✸ ♥♠❪
✵✳✼✹✶
❬✻✻✾ ♥♠❪
✵✳✼✹
❬✻✾✸ ♥♠❪
✵✳✼✸✾
❬✻✺✼ ♥♠❪
✵✳✼✸✷
❬✻✻✻ ♥♠❪
✵✳✼✸
❬✻✵✵ ♥♠❪
✵✳✼✷✾
❬✻✻✵ ♥♠❪
✵✳✼✷✺
❬✻✻✸ ♥♠❪
✵✳✼✷✹
❬✺✾✼ ♥♠❪
✵✳✼✶✺
❬✻✾✻ ♥♠❪
✵✳✼✵✷
❬✺✾✹ ♥♠❪
✵✳✻✾✾
❬✺✾✶ ♥♠❪
✵✳✻✽✷
❬✺✽✽ ♥♠❪
✵✳✻✻✹
❬✻✾✾ ♥♠❪
✵✳✻✺✹
❬✺✽✺ ♥♠❪
✵✳✻✹✹
❬✼✼✼ ♥♠❪ ✲✵✳✻✸✶
❬✼✽✵ ♥♠❪ ✲✵✳✻✸✶
❬✼✼✹ ♥♠❪ ✲✵✳✻✸✶
❬✼✽✸ ♥♠❪
✲✵✳✻✸
❬✼✼✶ ♥♠❪ ✲✵✳✻✷✾
❬✼✽✻ ♥♠❪ ✲✵✳✻✷✾
❬✼✽✾ ♥♠❪ ✲✵✳✻✷✽
❬✼✻✽ ♥♠❪ ✲✵✳✻✷✼
❬✼✾✷ ♥♠❪ ✲✵✳✻✷✼
❬✼✾✺ ♥♠❪ ✲✵✳✻✷✺
❬✼✾✽ ♥♠❪ ✲✵✳✻✷✹
❬✼✻✺ ♥♠❪ ✲✵✳✻✷✸
❬✽✵✵ ♥♠❪ ✲✵✳✻✷✸
❬✺✽✷ ♥♠❪
✵✳✻✷✸
❬✽✵✸ ♥♠❪ ✲✵✳✻✷✷
❬✽✵✻ ♥♠❪
✲✵✳✻✷
❬✽✵✾ ♥♠❪ ✲✵✳✻✶✾
⑤r⑤
✵✳✼✽✼
✵✳✼✽✻
✵✳✼✽
✵✳✼✼✾
✵✳✼✼✾
✵✳✼✼✾
✵✳✼✼✽
✵✳✼✼✽
✵✳✼✼✼
✵✳✼✼✺
✵✳✼✼✺
✵✳✼✼✸
✵✳✼✼✶
✵✳✼✼✶
✵✳✼✻✽
✵✳✼✻✼
✵✳✼✻✺
✵✳✼✻✹
✵✳✼✻✸
✵✳✼✺✽
✵✳✼✺✸
✵✳✼✺✸
✵✳✼✺✶
✵✳✼✹✷
✵✳✼✹✶
✵✳✼✹
✵✳✼✸✾
✵✳✼✸✷
✵✳✼✸
✵✳✼✷✾
✵✳✼✷✺
✵✳✼✷✹
✵✳✼✶✺
✵✳✼✵✷
✵✳✻✾✾
✵✳✻✽✷
✵✳✻✻✹
✵✳✻✺✹
✵✳✻✹✹
✵✳✻✸✶
✵✳✻✸✶
✵✳✻✸✶
✵✳✻✸
✵✳✻✷✾
✵✳✻✷✾
✵✳✻✷✽
✵✳✻✷✼
✵✳✻✷✼
✵✳✻✷✺
✵✳✻✷✹
✵✳✻✷✸
✵✳✻✷✸
✵✳✻✷✸
✵✳✻✷✷
✵✳✻✷
✵✳✻✶✾
❇❛♥❞ r ❬P❈✷❪
❬✽✶✷ ♥♠❪ ✲✵✳✻✶✽
❬✼✻✷ ♥♠❪ ✲✵✳✻✶✼
❬✽✶✺ ♥♠❪ ✲✵✳✻✶✻
❬✽✶✽ ♥♠❪ ✲✵✳✻✶✺
❬✽✷✶ ♥♠❪ ✲✵✳✻✶✸
❬✽✷✹ ♥♠❪ ✲✵✳✻✶✷
❬✽✷✼ ♥♠❪
✲✵✳✻✶
❬✽✸✵ ♥♠❪ ✲✵✳✻✵✾
❬✼✺✾ ♥♠❪ ✲✵✳✻✵✽
❬✽✸✸ ♥♠❪ ✲✵✳✻✵✼
❬✽✸✻ ♥♠❪ ✲✵✳✻✵✺
❬✽✸✾ ♥♠❪ ✲✵✳✻✵✹
❬✽✹✷ ♥♠❪ ✲✵✳✻✵✷
❬✺✼✾ ♥♠❪
✵✳✻✵✶
❬✽✹✺ ♥♠❪ ✲✵✳✻✵✶
❬✽✹✽ ♥♠❪ ✲✵✳✺✾✾
❬✽✺✶ ♥♠❪ ✲✵✳✺✾✼
❬✼✺✻ ♥♠❪ ✲✵✳✺✾✻
❬✽✺✹ ♥♠❪ ✲✵✳✺✾✺
❬✼✵✷ ♥♠❪
✵✳✺✾✹
❬✽✺✼ ♥♠❪ ✲✵✳✺✾✸
❬✽✻✵ ♥♠❪ ✲✵✳✺✾✶
❬✽✻✸ ♥♠❪ ✲✵✳✺✽✾
❬✽✻✻ ♥♠❪ ✲✵✳✺✽✼
❬✽✻✾ ♥♠❪ ✲✵✳✺✽✺
❬✽✼✷ ♥♠❪ ✲✵✳✺✽✸
❬✽✼✺ ♥♠❪ ✲✵✳✺✽✷
❬✼✺✸ ♥♠❪
✲✵✳✺✽
❬✽✼✽ ♥♠❪
✲✵✳✺✽
❬✽✽✶ ♥♠❪ ✲✵✳✺✼✾
❬✺✼✼ ♥♠❪
✵✳✺✼✽
❬✽✽✹ ♥♠❪ ✲✵✳✺✼✼
❬✽✽✼ ♥♠❪ ✲✵✳✺✼✻
❬✽✾✵ ♥♠❪ ✲✵✳✺✼✺
❬✽✾✸ ♥♠❪ ✲✵✳✺✼✺
❬✽✾✻ ♥♠❪ ✲✵✳✺✼✹
❬✽✾✾ ♥♠❪ ✲✵✳✺✼✹
❬✾✵✷ ♥♠❪ ✲✵✳✺✼✹
❬✾✶✼ ♥♠❪ ✲✵✳✺✼✸
❬✾✶✹ ♥♠❪ ✲✵✳✺✼✸
❬✾✶✶ ♥♠❪ ✲✵✳✺✼✸
❬✾✷✵ ♥♠❪ ✲✵✳✺✼✸
❬✾✵✽ ♥♠❪ ✲✵✳✺✼✸
❬✾✵✺ ♥♠❪ ✲✵✳✺✼✸
❬✾✷✸ ♥♠❪ ✲✵✳✺✼✸
❬✾✷✻ ♥♠❪ ✲✵✳✺✼✸
❬✾✷✾ ♥♠❪ ✲✵✳✺✼✷
❬✾✸✷ ♥♠❪ ✲✵✳✺✼✷
❬✾✸✺ ♥♠❪ ✲✵✳✺✼✶
❬✾✸✽ ♥♠❪
✲✵✳✺✼
❬✾✹✶ ♥♠❪ ✲✵✳✺✻✾
❬✾✹✹ ♥♠❪ ✲✵✳✺✻✼
❬✾✹✼ ♥♠❪ ✲✵✳✺✻✺
❬✾✺✵ ♥♠❪ ✲✵✳✺✻✷
❬✼✺✵ ♥♠❪
✲✵✳✺✻
❬✺✼✹ ♥♠❪
✵✳✺✺✺
⑤r⑤
✵✳✻✶✽
✵✳✻✶✼
✵✳✻✶✻
✵✳✻✶✺
✵✳✻✶✸
✵✳✻✶✷
✵✳✻✶
✵✳✻✵✾
✵✳✻✵✽
✵✳✻✵✼
✵✳✻✵✺
✵✳✻✵✹
✵✳✻✵✷
✵✳✻✵✶
✵✳✻✵✶
✵✳✺✾✾
✵✳✺✾✼
✵✳✺✾✻
✵✳✺✾✺
✵✳✺✾✹
✵✳✺✾✸
✵✳✺✾✶
✵✳✺✽✾
✵✳✺✽✼
✵✳✺✽✺
✵✳✺✽✸
✵✳✺✽✷
✵✳✺✽
✵✳✺✽
✵✳✺✼✾
✵✳✺✼✽
✵✳✺✼✼
✵✳✺✼✻
✵✳✺✼✺
✵✳✺✼✺
✵✳✺✼✹
✵✳✺✼✹
✵✳✺✼✹
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✸
✵✳✺✼✷
✵✳✺✼✷
✵✳✺✼✶
✵✳✺✼
✵✳✺✻✾
✵✳✺✻✼
✵✳✺✻✺
✵✳✺✻✷
✵✳✺✻
✵✳✺✺✺
❇❛♥❞ r ❬P❈✷❪
❬✼✹✼ ♥♠❪ ✲✵✳✺✸✹
❬✺✼✶ ♥♠❪
✵✳✺✸✷
❬✺✶✹ ♥♠❪
✵✳✺✷✽
❬✺✶✼ ♥♠❪
✵✳✺✷✼
❬✺✶✶ ♥♠❪
✵✳✺✷✺
❬✺✷✵ ♥♠❪
✵✳✺✷✸
❬✼✵✺ ♥♠❪
✵✳✺✷✷
❬✺✵✽ ♥♠❪
✵✳✺✶✽
❬✺✷✸ ♥♠❪
✵✳✺✶✼
❬✺✻✽ ♥♠❪
✵✳✺✶✶
❬✺✷✻ ♥♠❪
✵✳✺✵✽
❬✺✵✺ ♥♠❪
✵✳✺✵✼
❬✼✹✹ ♥♠❪ ✲✵✳✺✵✶
❬✺✷✾ ♥♠❪
✵✳✹✾✽
❬✺✻✺ ♥♠❪
✵✳✹✾✷
❬✺✵✷ ♥♠❪
✵✳✹✾
❬✺✸✷ ♥♠❪
✵✳✹✽✽
❬✺✸✺ ♥♠❪
✵✳✹✼✼
❬✺✻✷ ♥♠❪
✵✳✹✼✻
❬✺✸✽ ♥♠❪
✵✳✹✻✼
❬✹✾✾ ♥♠❪
✵✳✹✻✻
❬✺✺✾ ♥♠❪
✵✳✹✻✸
❬✼✹✶ ♥♠❪
✲✵✳✹✻
❬✺✹✶ ♥♠❪
✵✳✹✺✾
❬✺✺✻ ♥♠❪
✵✳✹✺✹
❬✺✹✹ ♥♠❪
✵✳✹✺✸
❬✺✺✸ ♥♠❪
✵✳✹✹✾
❬✺✹✼ ♥♠❪
✵✳✹✹✾
❬✺✺✵ ♥♠❪
✵✳✹✹✼
❬✼✵✽ ♥♠❪
✵✳✹✹
❬✹✾✻ ♥♠❪
✵✳✹✸✻
❬✼✸✽ ♥♠❪ ✲✵✳✹✵✾
❬✹✾✸ ♥♠❪
✵✳✸✾✸
❬✼✶✶ ♥♠❪
✵✳✸✺✶
❬✼✸✺ ♥♠❪ ✲✵✳✸✹✾
❬✹✾✵ ♥♠❪
✵✳✸✹✹
❬✹✽✼ ♥♠❪
✵✳✷✾✷
❬✼✸✷ ♥♠❪ ✲✵✳✷✽✶
❬✼✶✹ ♥♠❪
✵✳✷✺✼
❬✹✽✹ ♥♠❪
✵✳✷✸✾
❬✼✷✾ ♥♠❪ ✲✵✳✷✵✺
❬✹✽✶ ♥♠❪
✵✳✶✽✼
❬✼✶✼ ♥♠❪
✵✳✶✻
❬✹✼✽ ♥♠❪
✵✳✶✸✼
❬✼✷✻ ♥♠❪ ✲✵✳✶✷✷
❬✹✼✺ ♥♠❪
✵✳✵✾✸
❬✹✺✶ ♥♠❪
✵✳✵✾
❬✼✷✵ ♥♠❪
✵✳✵✻✸
❬✹✼✷ ♥♠❪
✵✳✵✺✻
❬✹✺✹ ♥♠❪
✵✳✵✺
❬✼✷✸ ♥♠❪ ✲✵✳✵✸✷
❬✹✻✾ ♥♠❪
✵✳✵✷✽
❬✹✺✼ ♥♠❪
✵✳✵✷✷
❬✹✻✻ ♥♠❪
✵✳✵✶
❬✹✻✵ ♥♠❪
✵✳✵✵✻
❬✹✻✸ ♥♠❪
✵✳✵✵✸
✭✐t❛❧✐❝ ❢♦♥t ✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✸
⑤r⑤
✵✳✺✸✹
✵✳✺✸✷
✵✳✺✷✽
✵✳✺✷✼
✵✳✺✷✺
✵✳✺✷✸
✵✳✺✷✷
✵✳✺✶✽
✵✳✺✶✼
✵✳✺✶✶
✵✳✺✵✽
✵✳✺✵✼
✵✳✺✵✶
✵✳✹✾✽
✵✳✹✾✷
✵✳✹✾
✵✳✹✽✽
✵✳✹✼✼
✵✳✹✼✻
✵✳✹✻✼
✵✳✹✻✻
✵✳✹✻✸
✵✳✹✻
✵✳✹✺✾
✵✳✹✺✹
✵✳✹✺✸
✵✳✹✹✾
✵✳✹✹✾
✵✳✹✹✼
✵✳✹✹
✵✳✹✸✻
✵✳✹✵✾
✵✳✸✾✸
✵✳✸✺✶
✵✳✸✹✾
✵✳✸✹✹
✵✳✷✾✷
✵✳✷✽✶
✵✳✷✺✼
✵✳✷✸✾
✵✳✷✵✺
✵✳✶✽✼
✵✳✶✻
✵✳✶✸✼
✵✳✶✷✷
✵✳✵✾✸
✵✳✵✾
✵✳✵✻✸
✵✳✵✺✻
✵✳✵✺
✵✳✵✸✷
✵✳✵✷✽
✵✳✵✷✷
✵✳✵✶
✵✳✵✵✻
✵✳✵✵✸
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Summary of principal component analysis
1st derivative
17 d a i
14 d a i
6
●
●
●
●
PC2 (31.3% var.)
●
●
●
●
−3
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
●
−
●
●
●
●●
●
●
●
●
●
●
●
●
●
●
● ●●
●
●
●
●
●
●
●
●
●
● ●
● ●
●
●
0
●
●
●
●
●●
● ●
3
●
●
●
●
●
●
3
●
●
●
−2.5
0.0
5.0
−
●
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
−3
●
●
●
−6
●
●
−5
7.5
0
5
PC1 (40.0% var.)
12 d a i
7.5
●
●
●
●
●
0
●
2.5
● ●
●
●
●●
●
●
●
●
PC1 (52.1% var.)
●
●
●
●
●
●
●
●
●
●
●
−5.0●
PC2 (35.8% var.)
●
●
●
10 d a i
●
●
●
●
PC2 (33.0% var.)
●
●
●
●
●
●
●●
● ●
●
● ●
●●
●
●
●
●● ●
●
●
●
●
●●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
−
●
●
●
●
●
●
● ● ●
●
●
● ●
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
−5.0
●
●
●
●
●
●
●
●
●●
●
●
●
●●
●●
●
4
●
●
●●
0.0
●
●
●
●
●
●
●
●
−2.5
●
●
●
●
●
●
●
●
●
●
2.5●●
●
●
●
5.0
●
PC2 (29.2% var.)
●
●
●
●
0
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
5
●
●
5dai
●
●●
0
●
●
●
−3
●
−6
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
0.0
●
●
●
−
●
●
●
●
●
● ● ● ●●
●
●
●
●
● ●●
●
●
●●
●
●
●
●
●
●
●
●
●
●
●
●
−5
0
●
●
−5.0
●
5
●
●
●
●
10
−
●
−10
−5
0
5
PC1 (58.8% var.)
●
●
●
●
●
●
●
●
●
●
●
●●
● ●
●
● ●
●
●
●
●
●
●
●●
●
−
●
●
●
●
● ●●
●
●
●
●
●
●
●
●
●
●●
●
●
● ●
●
●
●
●
●
●
●
●
5
●
●●
●
●
●
0
●
● ●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●●
●
●
●●
●
●
●
●
●●
−4
●
●
0
−
●
●
●● ●
●
●
8
PC1 (51.7% var.)
●
●
●
−4
−
●
Label
0
Group
●
Control
●
●
●
●
●●
●
●
4
8
PC1 (52.0% var.)
●
●
●
●● ●
●
●
● ●
●●
●
4
●
●
●
●
−5.0
●
●
●
●
●
●
●● ● ●
−2.5
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
●
0.0
●
●
●
●
PC2 (20.8% var.)
PC2 (23.3% var.)
●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
●
● ●●
●
1dbi
5.0
●
● ●
●
PC1 (55.8% var.)
2.5
●
●
●
●
●
●
●
●
●
●
●
●
●
3dai
●
● ●
●
●
●
●
●
●
●
●
●
−2.5
●
●
●
● ●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
2.5
●
●●
●
● ● ●
●
●
●
●
●
●
PC2 (18.8% var.)
PC2 (18.9% var.)
●
●
●
●
●
●
●●
●
●
●
●
3
5
PC1 (45.3% var.)
●
●
●
●
0
7dai
6
●
●●
●
−5
−
PC1 (44.7% var.)
●
● ●
●
●
0
●
●
●
●
●
●
●
−5
●
●
●
●
●
●
●●
−4
●●
●
●●
●
●
●
●
●
●
●
●
●
Inoculated
❋✐❣✉r❡ ✽✳✸✿ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ ✜rst✲
❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s ❞✐s✲
t❛♥❝❡✳
✼✹
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✾✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✲
✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱ ❛♥❞ t❤❡✐r
r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✽✵✵ ♥♠❪
✵✳✾✻✾
✵✳✾✻✾
❬✼✾✽ ♥♠❪
✵✳✾✻✽
✵✳✾✻✽
❬✽✵✸ ♥♠❪
✵✳✾✻✼
✵✳✾✻✼
❬✼✾✺ ♥♠❪
✵✳✾✻✺
✵✳✾✻✺
❬✽✵✻ ♥♠❪
✵✳✾✻✶
✵✳✾✻✶
❬✼✾✷ ♥♠❪
✵✳✾✺✽
✵✳✾✺✽
❬✽✵✾ ♥♠❪
✵✳✾✺✵
✵✳✾✺✵
❬✼✽✾ ♥♠❪
✵✳✾✹✼
✵✳✾✹✼
❬✻✻✾ ♥♠❪
✵✳✾✹✺
✵✳✾✹✺
❬✽✶✷ ♥♠❪
✵✳✾✸✼
✵✳✾✸✼
❬✺✻✺ ♥♠❪
✵✳✾✷✼
✵✳✾✷✼
❬✺✻✷ ♥♠❪
✵✳✾✷✼
✵✳✾✷✼
❬✺✻✽ ♥♠❪
✵✳✾✷✻
✵✳✾✷✻
❬✼✽✻ ♥♠❪
✵✳✾✷✻
✵✳✾✷✻
❬✺✼✶ ♥♠❪
✵✳✾✷✺
✵✳✾✷✺
❬✺✼✹ ♥♠❪
✵✳✾✷✹
✵✳✾✷✹
❬✺✼✼ ♥♠❪
✵✳✾✷✸
✵✳✾✷✸
❬✺✼✾ ♥♠❪
✵✳✾✷✷
✵✳✾✷✷
❬✺✽✷ ♥♠❪
✵✳✾✷✶
✵✳✾✷✶
❬✺✺✾ ♥♠❪
✵✳✾✷✵
✵✳✾✷✵
❬✽✶✺ ♥♠❪
✵✳✾✷✵
✵✳✾✷✵
❬✺✽✺ ♥♠❪
✵✳✾✷✵
✵✳✾✷✵
❬✺✽✽ ♥♠❪
✵✳✾✶✽
✵✳✾✶✽
❬✺✾✶ ♥♠❪
✵✳✾✶✺
✵✳✾✶✺
❬✺✾✹ ♥♠❪
✵✳✾✶✷
✵✳✾✶✷
❬✺✾✼ ♥♠❪
✵✳✾✵✼
✵✳✾✵✼
❬✹✻✻ ♥♠❪
✵✳✾✵✻
✵✳✾✵✻
❬✼✶✹ ♥♠❪
✲✵✳✾✵✹
✵✳✾✵✹
❬✼✶✶ ♥♠❪
✲✵✳✾✵✸
✵✳✾✵✸
❬✼✶✼ ♥♠❪
✲✵✳✾✵✷
✵✳✾✵✷
❬✽✶✽ ♥♠❪
✵✳✾✵✷
✵✳✾✵✷
❬✻✵✵ ♥♠❪
✵✳✾✵✶
✵✳✾✵✶
❬✼✷✵ ♥♠❪
✲✵✳✾✵✵
✵✳✾✵✵
✭✐t❛❧✐❝
❢♦♥t ✮✿
❬✻✼✷ ♥♠❪
❬✺✺✻ ♥♠❪
❬✼✵✽ ♥♠❪
❬✹✻✾ ♥♠❪
❬✼✷✸ ♥♠❪
❬✼✷✻ ♥♠❪
❬✻✵✸ ♥♠❪
❬✼✷✾ ♥♠❪
❬✽✷✶ ♥♠❪
❬✼✽✸ ♥♠❪
❬✼✸✷ ♥♠❪
❬✼✵✺ ♥♠❪
❬✼✸✺ ♥♠❪
❬✻✵✻ ♥♠❪
❬✼✸✽ ♥♠❪
❬✽✷✹ ♥♠❪
❬✼✹✶ ♥♠❪
❬✼✹✹ ♥♠❪
❬✽✼✽ ♥♠❪
❬✽✼✺ ♥♠❪
❬✽✽✶ ♥♠❪
❬✽✼✷ ♥♠❪
❬✻✵✾ ♥♠❪
✵✳✽✾✽
✵✳✽✾✽
✲✵✳✽✾✼
✵✳✽✾✻
✲✵✳✽✾✻
✲✵✳✽✾✷
✵✳✽✾✶
✲✵✳✽✽✼
✵✳✽✽✹
✵✳✽✽✸
✲✵✳✽✽✷
✲✵✳✽✽✶
✲✵✳✽✼✼
✵✳✽✼✻
✲✵✳✽✼✶
✵✳✽✻✼
✲✵✳✽✻✹
✲✵✳✽✺✼
✵✳✽✺✼
✵✳✽✺✻
✵✳✽✺✹
✵✳✽✺✷
✵✳✽✺✷
✵✳✽✾✽
✵✳✽✾✽
✵✳✽✾✼
✵✳✽✾✻
✵✳✽✾✻
✵✳✽✾✷
✵✳✽✾✶
✵✳✽✽✼
✵✳✽✽✹
✵✳✽✽✸
✵✳✽✽✷
✵✳✽✽✶
✵✳✽✼✼
✵✳✽✼✻
✵✳✽✼✶
✵✳✽✻✼
✵✳✽✻✹
✵✳✽✺✼
✵✳✽✺✼
✵✳✽✺✻
✵✳✽✺✹
✵✳✽✺✷
✵✳✽✺✷
❇❛♥❞ r ❬P❈✶❪
❬✽✷✼ ♥♠❪
✵✳✽✺✷
❬✼✹✼ ♥♠❪ ✲✵✳✽✹✽
❬✽✻✾ ♥♠❪
✵✳✽✹✼
❬✼✵✷ ♥♠❪ ✲✵✳✽✹✻
❬✽✽✹ ♥♠❪
✵✳✽✹✺
❬✻✻✻ ♥♠❪
✵✳✽✹✹
❬✽✻✻ ♥♠❪
✵✳✽✹✶
❬✽✸✵ ♥♠❪
✵✳✽✹✵
❬✼✺✵ ♥♠❪ ✲✵✳✽✸✽
❬✹✼✷ ♥♠❪
✵✳✽✸✻
❬✽✻✸ ♥♠❪
✵✳✽✸✺
❬✽✸✸ ♥♠❪
✵✳✽✸✵
❬✽✽✼ ♥♠❪
✵✳✽✷✾
❬✺✺✸ ♥♠❪
✵✳✽✷✾
❬✽✻✵ ♥♠❪
✵✳✽✷✽
❬✼✺✸ ♥♠❪ ✲✵✳✽✷✺
❬✻✼✺ ♥♠❪
✵✳✽✷✸
❬✽✺✼ ♥♠❪
✵✳✽✷✸
❬✽✸✻ ♥♠❪
✵✳✽✷✷
❬✽✺✹ ♥♠❪
✵✳✽✶✾
❬✽✸✾ ♥♠❪
✵✳✽✶✻
❬✽✺✶ ♥♠❪
✵✳✽✶✻
❬✽✹✽ ♥♠❪
✵✳✽✶✸
❬✽✹✷ ♥♠❪
✵✳✽✶✸
❬✽✹✺ ♥♠❪
✵✳✽✶✷
❬✻✶✷ ♥♠❪
✵✳✽✵✽
❬✼✺✻ ♥♠❪ ✲✵✳✽✵✼
❬✽✾✵ ♥♠❪
✵✳✽✵✸
❬✹✻✸ ♥♠❪
✵✳✼✾✸
❬✼✺✾ ♥♠❪ ✲✵✳✼✽✷
❬✼✽✵ ♥♠❪
✵✳✼✽✵
❬✻✾✾ ♥♠❪ ✲✵✳✼✼✶
❬✽✾✸ ♥♠❪
✵✳✼✻✼
❬✹✼✺ ♥♠❪
✵✳✼✻✼
❬✼✻✷ ♥♠❪ ✲✵✳✼✹✹
❬✻✼✽ ♥♠❪
✵✳✼✸✻
❬✽✾✻ ♥♠❪
✵✳✼✷✸
❬✻✶✺ ♥♠❪
✵✳✼✶✽
❬✹✼✽ ♥♠❪
✵✳✼✵✹
❬✾✺✵ ♥♠❪
✵✳✻✽✺
❬✾✹✼ ♥♠❪
✵✳✻✽✷
❬✼✻✺ ♥♠❪ ✲✵✳✻✽✵
❬✾✹✹ ♥♠❪
✵✳✻✼✽
❬✽✾✾ ♥♠❪
✵✳✻✼✹
❬✾✹✶ ♥♠❪
✵✳✻✼✹
❬✾✸✽ ♥♠❪
✵✳✻✻✼
❬✾✸✺ ♥♠❪
✵✳✻✻✵
❬✺✺✵ ♥♠❪
✵✳✻✺✸
❬✾✸✷ ♥♠❪
✵✳✻✺✶
❬✹✽✶ ♥♠❪
✵✳✻✹✼
❬✾✷✾ ♥♠❪
✵✳✻✸✾
❬✻✽✶ ♥♠❪
✵✳✻✸✵
❬✾✷✻ ♥♠❪
✵✳✻✷✼
❬✾✵✷ ♥♠❪
✵✳✻✷✺
❬✻✾✻ ♥♠❪ ✲✵✳✻✷✵
❬✾✷✸ ♥♠❪
✵✳✻✶✸
⑤r⑤
✵✳✽✺✷
✵✳✽✹✽
✵✳✽✹✼
✵✳✽✹✻
✵✳✽✹✺
✵✳✽✹✹
✵✳✽✹✶
✵✳✽✹✵
✵✳✽✸✽
✵✳✽✸✻
✵✳✽✸✺
✵✳✽✸✵
✵✳✽✷✾
✵✳✽✷✾
✵✳✽✷✽
✵✳✽✷✺
✵✳✽✷✸
✵✳✽✷✸
✵✳✽✷✷
✵✳✽✶✾
✵✳✽✶✻
✵✳✽✶✻
✵✳✽✶✸
✵✳✽✶✸
✵✳✽✶✷
✵✳✽✵✽
✵✳✽✵✼
✵✳✽✵✸
✵✳✼✾✸
✵✳✼✽✷
✵✳✼✽✵
✵✳✼✼✶
✵✳✼✻✼
✵✳✼✻✼
✵✳✼✹✹
✵✳✼✸✻
✵✳✼✷✸
✵✳✼✶✽
✵✳✼✵✹
✵✳✻✽✺
✵✳✻✽✷
✵✳✻✽✵
✵✳✻✼✽
✵✳✻✼✹
✵✳✻✼✹
✵✳✻✻✼
✵✳✻✻✵
✵✳✻✺✸
✵✳✻✺✶
✵✳✻✹✼
✵✳✻✸✾
✵✳✻✸✵
✵✳✻✷✼
✵✳✻✷✺
✵✳✻✷✵
✵✳✻✶✸
❇❛♥❞ r ❬P❈✶❪
❬✾✷✵ ♥♠❪
✵✳✺✾✾
❬✹✽✹ ♥♠❪
✵✳✺✾✻
❬✾✶✼ ♥♠❪
✵✳✺✽✻
❬✾✵✺ ♥♠❪
✵✳✺✽✸
❬✾✶✹ ♥♠❪
✵✳✺✼✻
❬✾✵✽ ♥♠❪
✵✳✺✼✸
❬✾✶✶ ♥♠❪
✵✳✺✼✶
❬✹✻✵ ♥♠❪
✵✳✺✻✽
❬✼✻✽ ♥♠❪ ✲✵✳✺✻✸
❬✹✽✼ ♥♠❪
✵✳✺✹✾
❬✻✸✾ ♥♠❪ ✲✵✳✺✸✾
❬✻✹✷ ♥♠❪ ✲✵✳✺✸✽
❬✻✶✽ ♥♠❪
✵✳✺✸✺
❬✼✼✼ ♥♠❪
✵✳✺✸✷
❬✻✸✻ ♥♠❪ ✲✵✳✺✷✹
❬✻✹✺ ♥♠❪ ✲✵✳✺✷✹
❬✹✾✵ ♥♠❪
✵✳✺✵✹
❬✻✹✽ ♥♠❪ ✲✵✳✹✾✻
❬✻✸✸ ♥♠❪ ✲✵✳✹✽✾
❬✻✽✹ ♥♠❪
✵✳✹✽✸
❬✹✾✸ ♥♠❪
✵✳✹✻✵
❬✻✺✶ ♥♠❪ ✲✵✳✹✹✾
❬✻✻✸ ♥♠❪
✵✳✹✷✼
❬✻✸✵ ♥♠❪ ✲✵✳✹✷✵
❬✹✾✻ ♥♠❪
✵✳✹✶✺
❬✻✺✹ ♥♠❪ ✲✵✳✸✼✷
❬✻✾✸ ♥♠❪ ✲✵✳✸✻✵
❬✺✹✼ ♥♠❪
✵✳✸✺✵
❬✹✾✾ ♥♠❪
✵✳✸✸✻
❬✹✺✼ ♥♠❪
✵✳✸✸✻
❬✼✼✶ ♥♠❪ ✲✵✳✸✸✶
❬✺✸✷ ♥♠❪ ✲✵✳✸✷✷
❬✺✷✾ ♥♠❪ ✲✵✳✸✶✺
❬✺✸✺ ♥♠❪ ✲✵✳✸✵✺
❬✻✷✼ ♥♠❪ ✲✵✳✷✾✸
❬✺✷✻ ♥♠❪ ✲✵✳✷✾✶
❬✻✽✼ ♥♠❪
✵✳✷✻✾
❬✺✸✽ ♥♠❪ ✲✵✳✷✺✹
❬✺✵✷ ♥♠❪
✵✳✷✺✸
❬✺✷✸ ♥♠❪ ✲✵✳✷✺✸
❬✻✺✼ ♥♠❪ ✲✵✳✷✹✵
❬✻✷✶ ♥♠❪
✵✳✷✸✾
❬✺✷✵ ♥♠❪ ✲✵✳✷✵✸
❬✺✵✺ ♥♠❪
✵✳✶✻✾
❬✹✺✹ ♥♠❪
✵✳✶✺✻
❬✺✹✶ ♥♠❪ ✲✵✳✶✹✻
❬✺✶✼ ♥♠❪ ✲✵✳✶✹✸
❬✺✵✽ ♥♠❪
✵✳✵✽✹
❬✼✼✹ ♥♠❪
✵✳✵✽✹
❬✺✶✹ ♥♠❪ ✲✵✳✵✼✹
❬✻✷✹ ♥♠❪ ✲✵✳✵✼✸
❬✺✹✹ ♥♠❪
✵✳✵✺✵
❬✻✾✵ ♥♠❪ ✲✵✳✵✷✾
❬✹✺✶ ♥♠❪
✵✳✵✷✼
❬✺✶✶ ♥♠❪
✵✳✵✵✸
❬✻✻✵ ♥♠❪
✵✳✵✵✷
❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✺
⑤r⑤
✵✳✺✾✾
✵✳✺✾✻
✵✳✺✽✻
✵✳✺✽✸
✵✳✺✼✻
✵✳✺✼✸
✵✳✺✼✶
✵✳✺✻✽
✵✳✺✻✸
✵✳✺✹✾
✵✳✺✸✾
✵✳✺✸✽
✵✳✺✸✺
✵✳✺✸✷
✵✳✺✷✹
✵✳✺✷✹
✵✳✺✵✹
✵✳✹✾✻
✵✳✹✽✾
✵✳✹✽✸
✵✳✹✻✵
✵✳✹✹✾
✵✳✹✷✼
✵✳✹✷✵
✵✳✹✶✺
✵✳✸✼✷
✵✳✸✻✵
✵✳✸✺✵
✵✳✸✸✻
✵✳✸✸✻
✵✳✸✸✶
✵✳✸✷✷
✵✳✸✶✺
✵✳✸✵✺
✵✳✷✾✸
✵✳✷✾✶
✵✳✷✻✾
✵✳✷✺✹
✵✳✷✺✸
✵✳✷✺✸
✵✳✷✹✵
✵✳✷✸✾
✵✳✷✵✸
✵✳✶✻✾
✵✳✶✺✻
✵✳✶✹✻
✵✳✶✹✸
✵✳✵✽✹
✵✳✵✽✹
✵✳✵✼✹
✵✳✵✼✸
✵✳✵✺✵
✵✳✵✷✾
✵✳✵✷✼
✵✳✵✵✸
✵✳✵✵✷
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✵✿ ❙✉♠♠❛r② ♦❢ r❡♣r❡s❡♥t❛t✐♦♥s ❛t ❛❧❧ ♠❡❛s✉r❡♠❡♥t ❞❛t❡s ♦❢ s❡❝♦♥❞✲
❞❡r✐✈❛t✐✈❡ r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❛❧❧ s❛♠♣❧❡s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✼✾✽ ♥♠❪
✵✳✾✼✶
✵✳✾✼✶
❬✽✵✵ ♥♠❪
✵✳✾✼✵
✵✳✾✼✵
❬✼✾✺ ♥♠❪
✵✳✾✻✼
✵✳✾✻✼
❬✽✵✸ ♥♠❪
✵✳✾✻✶
✵✳✾✻✶
❬✼✾✷ ♥♠❪
✵✳✾✺✼
✵✳✾✺✼
❬✽✵✻ ♥♠❪
✵✳✾✹✺
✵✳✾✹✺
❬✼✽✾ ♥♠❪
✵✳✾✹✵
✵✳✾✹✵
❬✽✵✾ ♥♠❪
✵✳✾✷✹
✵✳✾✷✹
❬✼✽✻ ♥♠❪
✵✳✾✵✽
✵✳✾✵✽
❬✽✶✷ ♥♠❪
✵✳✾✵✵
✵✳✾✵✵
❬✽✶✺ ♥♠❪
❬✹✼✷ ♥♠❪
❬✺✺✻ ♥♠❪
❬✹✻✾ ♥♠❪
❬✽✶✽ ♥♠❪
❬✹✼✺ ♥♠❪
❬✼✽✸ ♥♠❪
❬✽✷✶ ♥♠❪
❬✺✺✾ ♥♠❪
❬✻✼✷ ♥♠❪
❬✽✷✹ ♥♠❪
❬✼✹✹ ♥♠❪
❬✼✹✶ ♥♠❪
❬✼✹✼ ♥♠❪
❬✼✸✽ ♥♠❪
❬✼✺✵ ♥♠❪
❬✼✸✺ ♥♠❪
❬✽✷✼ ♥♠❪
❬✽✻✾ ♥♠❪
❬✽✻✻ ♥♠❪
❬✼✺✸ ♥♠❪
❬✽✼✷ ♥♠❪
❬✼✸✷ ♥♠❪
❬✽✻✸ ♥♠❪
❬✽✼✺ ♥♠❪
❬✽✻✵ ♥♠❪
❬✹✼✽ ♥♠❪
❬✽✸✵ ♥♠❪
❬✽✺✼ ♥♠❪
❬✼✷✾ ♥♠❪
❬✼✺✻ ♥♠❪
❬✽✼✽ ♥♠❪
❬✽✺✹ ♥♠❪
❬✽✸✸ ♥♠❪
❬✽✺✶ ♥♠❪
❬✽✹✽ ♥♠❪
❬✻✻✾ ♥♠❪
❬✽✸✻ ♥♠❪
❬✽✹✺ ♥♠❪
❬✽✸✾ ♥♠❪
❬✽✹✷ ♥♠❪
❬✼✷✻ ♥♠❪
❬✼✺✾ ♥♠❪
❬✽✽✶ ♥♠❪
❬✺✻✷ ♥♠❪
❬✼✷✸ ♥♠❪
✭✐t❛❧✐❝
✵✳✽✼✺
✵✳✽✼✶
✵✳✽✻✽
✵✳✽✺✼
✵✳✽✺✷
✵✳✽✸✻
✵✳✽✸✺
✵✳✽✸✷
✵✳✽✷✻
✵✳✽✶✺
✵✳✽✶✺
✲✵✳✽✶✷
✲✵✳✽✶✷
✲✵✳✽✶✶
✲✵✳✽✵✾
✲✵✳✽✵✼
✲✵✳✽✵✺
✵✳✽✵✷
✵✳✽✵✶
✵✳✽✵✵
✲✵✳✽✵✵
✵✳✼✾✾
✲✵✳✼✾✽
✵✳✼✾✽
✵✳✼✾✺
✵✳✼✾✹
✵✳✼✾✷
✵✳✼✾✶
✵✳✼✽✾
✲✵✳✼✽✾
✲✵✳✼✽✾
✵✳✼✽✼
✵✳✼✽✻
✵✳✼✽✹
✵✳✼✽✸
✵✳✼✽✵
✵✳✼✽✵
✵✳✼✽✵
✵✳✼✼✽
✵✳✼✼✼
✵✳✼✼✼
✲✵✳✼✼✼
✲✵✳✼✼✸
✵✳✼✼✷
✵✳✼✻✻
✲✵✳✼✻✶
❢♦♥t
✵✳✽✼✺
✵✳✽✼✶
✵✳✽✻✽
✵✳✽✺✼
✵✳✽✺✷
✵✳✽✸✻
✵✳✽✸✺
✵✳✽✸✷
✵✳✽✷✻
✵✳✽✶✺
✵✳✽✶✺
✵✳✽✶✷
✵✳✽✶✷
✵✳✽✶✶
✵✳✽✵✾
✵✳✽✵✼
✵✳✽✵✺
✵✳✽✵✷
✵✳✽✵✶
✵✳✽✵✵
✵✳✽✵✵
✵✳✼✾✾
✵✳✼✾✽
✵✳✼✾✽
✵✳✼✾✺
✵✳✼✾✹
✵✳✼✾✷
✵✳✼✾✶
✵✳✼✽✾
✵✳✼✽✾
✵✳✼✽✾
✵✳✼✽✼
✵✳✼✽✻
✵✳✼✽✹
✵✳✼✽✸
✵✳✼✽✵
✵✳✼✽✵
✵✳✼✽✵
✵✳✼✼✽
✵✳✼✼✼
✵✳✼✼✼
✵✳✼✼✼
✵✳✼✼✸
✵✳✼✼✷
✵✳✼✻✻
✵✳✼✻✶
❇❛♥❞ r ❬P❈✶❪
❬✾✺✵ ♥♠❪
✵✳✼✺✶
❬✽✽✹ ♥♠❪
✵✳✼✹✾
❬✹✽✶ ♥♠❪
✵✳✼✹✾
❬✺✺✸ ♥♠❪
✵✳✼✹✽
❬✼✻✷ ♥♠❪ ✲✵✳✼✹✽
❬✾✹✼ ♥♠❪
✵✳✼✹✻
❬✼✷✵ ♥♠❪ ✲✵✳✼✹✵
❬✾✹✹ ♥♠❪
✵✳✼✸✽
❬✾✹✶ ♥♠❪
✵✳✼✷✽
❬✺✻✺ ♥♠❪
✵✳✼✷✶
❬✾✸✽ ♥♠❪
✵✳✼✶✺
❬✽✽✼ ♥♠❪
✵✳✼✶✹
❬✼✶✼ ♥♠❪ ✲✵✳✼✶✸
❬✹✽✹ ♥♠❪
✵✳✼✵✽
❬✼✻✺ ♥♠❪ ✲✵✳✼✵✼
❬✹✻✻ ♥♠❪
✵✳✼✵✸
❬✾✸✺ ♥♠❪
✵✳✻✾✻
❬✺✻✽ ♥♠❪
✵✳✻✾✷
❬✼✶✹ ♥♠❪ ✲✵✳✻✽✵
❬✺✼✶ ♥♠❪
✵✳✻✼✸
❬✻✼✺ ♥♠❪
✵✳✻✼✸
❬✹✽✼ ♥♠❪
✵✳✻✼✵
❬✾✸✷ ♥♠❪
✵✳✻✼✵
❬✽✾✵ ♥♠❪
✵✳✻✻✷
❬✺✼✹ ♥♠❪
✵✳✻✻✶
❬✺✼✼ ♥♠❪
✵✳✻✺✷
❬✺✼✾ ♥♠❪
✵✳✻✹✻
❬✼✽✵ ♥♠❪
✵✳✻✹✺
❬✺✽✷ ♥♠❪
✵✳✻✹✵
❬✼✶✶ ♥♠❪ ✲✵✳✻✸✼
❬✾✷✾ ♥♠❪
✵✳✻✸✻
❬✼✻✽ ♥♠❪ ✲✵✳✻✸✺
❬✺✽✺ ♥♠❪
✵✳✻✸✺
❬✹✾✵ ♥♠❪
✵✳✻✸✸
❬✺✽✽ ♥♠❪
✵✳✻✷✽
❬✺✾✶ ♥♠❪
✵✳✻✶✾
❬✺✾✹ ♥♠❪
✵✳✻✵✼
❬✹✾✸ ♥♠❪
✵✳✺✾✼
❬✽✾✸ ♥♠❪
✵✳✺✾✸
❬✺✾✼ ♥♠❪
✵✳✺✾✷
❬✾✷✻ ♥♠❪
✵✳✺✾✶
❬✼✵✽ ♥♠❪ ✲✵✳✺✽✸
❬✻✸✾ ♥♠❪ ✲✵✳✺✼✼
❬✻✹✷ ♥♠❪ ✲✵✳✺✼✶
❬✻✸✻ ♥♠❪ ✲✵✳✺✼✵
❬✻✵✵ ♥♠❪
✵✳✺✼✵
❬✹✾✻ ♥♠❪
✵✳✺✻✵
❬✻✹✺ ♥♠❪ ✲✵✳✺✺✺
❬✻✸✸ ♥♠❪ ✲✵✳✺✹✼
❬✻✵✸ ♥♠❪
✵✳✺✹✷
❬✾✷✸ ♥♠❪
✵✳✺✸✼
❬✻✼✽ ♥♠❪
✵✳✺✸✷
❬✻✹✽ ♥♠❪ ✲✵✳✺✷✾
❬✼✵✺ ♥♠❪ ✲✵✳✺✶✼
❬✽✾✻ ♥♠❪
✵✳✺✶✵
❬✻✵✻ ♥♠❪
✵✳✺✵✸
⑤r⑤
✵✳✼✺✶
✵✳✼✹✾
✵✳✼✹✾
✵✳✼✹✽
✵✳✼✹✽
✵✳✼✹✻
✵✳✼✹✵
✵✳✼✸✽
✵✳✼✷✽
✵✳✼✷✶
✵✳✼✶✺
✵✳✼✶✹
✵✳✼✶✸
✵✳✼✵✽
✵✳✼✵✼
✵✳✼✵✸
✵✳✻✾✻
✵✳✻✾✷
✵✳✻✽✵
✵✳✻✼✸
✵✳✻✼✸
✵✳✻✼✵
✵✳✻✼✵
✵✳✻✻✷
✵✳✻✻✶
✵✳✻✺✷
✵✳✻✹✻
✵✳✻✹✺
✵✳✻✹✵
✵✳✻✸✼
✵✳✻✸✻
✵✳✻✸✺
✵✳✻✸✺
✵✳✻✸✸
✵✳✻✷✽
✵✳✻✶✾
✵✳✻✵✼
✵✳✺✾✼
✵✳✺✾✸
✵✳✺✾✷
✵✳✺✾✶
✵✳✺✽✸
✵✳✺✼✼
✵✳✺✼✶
✵✳✺✼✵
✵✳✺✼✵
✵✳✺✻✵
✵✳✺✺✺
✵✳✺✹✼
✵✳✺✹✷
✵✳✺✸✼
✵✳✺✸✷
✵✳✺✷✾
✵✳✺✶✼
✵✳✺✶✵
✵✳✺✵✸
❇❛♥❞ r ❬P❈✶❪
❬✻✸✵ ♥♠❪ ✲✵✳✺✵✵
❬✼✼✶ ♥♠❪ ✲✵✳✹✾✾
❬✹✾✾ ♥♠❪
✵✳✹✾✼
❬✻✺✶ ♥♠❪ ✲✵✳✹✾✶
❬✾✷✵ ♥♠❪
✵✳✹✼✺
❬✺✺✵ ♥♠❪
✵✳✹✻✵
❬✻✵✾ ♥♠❪
✵✳✹✹✼
❬✻✺✹ ♥♠❪ ✲✵✳✹✸✾
❬✼✵✷ ♥♠❪ ✲✵✳✹✸✻
❬✺✵✷ ♥♠❪
✵✳✹✸✹
❬✽✾✾ ♥♠❪
✵✳✹✷✵
❬✻✷✼ ♥♠❪ ✲✵✳✹✶✽
❬✾✶✼ ♥♠❪
✵✳✹✶✶
❬✻✽✶ ♥♠❪
✵✳✹✵✶
❬✹✻✸ ♥♠❪
✵✳✸✾✺
❬✺✵✺ ♥♠❪
✵✳✸✼✶
❬✻✶✷ ♥♠❪
✵✳✸✻✺
❬✻✺✼ ♥♠❪ ✲✵✳✸✻✸
❬✾✶✹ ♥♠❪
✵✳✸✺✸
❬✻✾✾ ♥♠❪ ✲✵✳✸✹✶
❬✾✵✷ ♥♠❪
✵✳✸✸✽
❬✹✺✶ ♥♠❪ ✲✵✳✸✷✻
❬✻✻✻ ♥♠❪
✵✳✸✷✵
❬✺✵✽ ♥♠❪
✵✳✸✶✶
❬✾✶✶ ♥♠❪
✵✳✸✵✽
❬✻✷✹ ♥♠❪ ✲✵✳✷✽✽
❬✾✵✽ ♥♠❪
✵✳✷✽✶
❬✾✵✺ ♥♠❪
✵✳✷✼✺
❬✻✽✹ ♥♠❪
✵✳✷✼✸
❬✺✶✶ ♥♠❪
✵✳✷✺✹
❬✻✻✵ ♥♠❪ ✲✵✳✷✹✼
❬✻✶✺ ♥♠❪
✵✳✷✹✹
❬✹✺✹ ♥♠❪ ✲✵✳✷✸✼
❬✼✼✼ ♥♠❪
✵✳✷✸✻
❬✺✹✼ ♥♠❪
✵✳✷✸✺
❬✻✾✻ ♥♠❪ ✲✵✳✷✸✷
❬✼✼✹ ♥♠❪ ✲✵✳✷✷✹
❬✺✶✹ ♥♠❪
✵✳✷✵✷
❬✺✶✼ ♥♠❪
✵✳✶✺✺
❬✻✽✼ ♥♠❪
✵✳✶✹✹
❬✻✷✶ ♥♠❪ ✲✵✳✶✶✹
❬✺✷✵ ♥♠❪
✵✳✶✶✸
❬✻✾✸ ♥♠❪ ✲✵✳✶✶✷
❬✺✹✹ ♥♠❪
✵✳✶✶✵
❬✹✺✼ ♥♠❪ ✲✵✳✶✵✻
❬✹✻✵ ♥♠❪
✵✳✵✾✽
❬✻✶✽ ♥♠❪
✵✳✵✼✽
❬✺✷✸ ♥♠❪
✵✳✵✼✼
❬✻✻✸ ♥♠❪ ✲✵✳✵✺✵
❬✺✷✻ ♥♠❪
✵✳✵✹✼
❬✺✹✶ ♥♠❪
✵✳✵✹✺
❬✺✷✾ ♥♠❪
✵✳✵✷✹
❬✻✾✵ ♥♠❪
✵✳✵✶✺
❬✺✸✽ ♥♠❪
✵✳✵✶✹
❬✺✸✷ ♥♠❪
✵✳✵✵✾
❬✺✸✺ ♥♠❪
✵✳✵✵✹
✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✻
⑤r⑤
✵✳✺✵✵
✵✳✹✾✾
✵✳✹✾✼
✵✳✹✾✶
✵✳✹✼✺
✵✳✹✻✵
✵✳✹✹✼
✵✳✹✸✾
✵✳✹✸✻
✵✳✹✸✹
✵✳✹✷✵
✵✳✹✶✽
✵✳✹✶✶
✵✳✹✵✶
✵✳✸✾✺
✵✳✸✼✶
✵✳✸✻✺
✵✳✸✻✸
✵✳✸✺✸
✵✳✸✹✶
✵✳✸✸✽
✵✳✸✷✻
✵✳✸✷✵
✵✳✸✶✶
✵✳✸✵✽
✵✳✷✽✽
✵✳✷✽✶
✵✳✷✼✺
✵✳✷✼✸
✵✳✷✺✹
✵✳✷✹✼
✵✳✷✹✹
✵✳✷✸✼
✵✳✷✸✻
✵✳✷✸✺
✵✳✷✸✷
✵✳✷✷✹
✵✳✷✵✷
✵✳✶✺✺
✵✳✶✹✹
✵✳✶✶✹
✵✳✶✶✸
✵✳✶✶✷
✵✳✶✶✵
✵✳✶✵✻
✵✳✵✾✽
✵✳✵✼✽
✵✳✵✼✼
✵✳✵✺✵
✵✳✵✹✼
✵✳✵✹✺
✵✳✵✷✹
✵✳✵✶✺
✵✳✵✶✹
✵✳✵✵✾
✵✳✵✵✹
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✶✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ s❡❝♦♥❞
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ r❡✲
✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✷ ❞❛✐✱ ❛♥❞ t❤❡✐r
r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✷❪
⑤r⑤
❬✼✽✾ ♥♠❪
✵✳✾✼✵
✵✳✾✼✵
❬✼✾✷ ♥♠❪
✵✳✾✻✹
✵✳✾✻✹
❬✼✽✻ ♥♠❪
✵✳✾✺✽
✵✳✾✺✽
❬✼✾✺ ♥♠❪
✵✳✾✺✼
✵✳✾✺✼
❬✼✾✽ ♥♠❪
✵✳✾✹✾
✵✳✾✹✾
❬✽✵✵ ♥♠❪
✵✳✾✹✵
✵✳✾✹✵
❬✽✵✸ ♥♠❪
✵✳✾✷✼
✵✳✾✷✼
❬✽✵✻ ♥♠❪
✵✳✾✶✵
✵✳✾✶✵
❬✼✷✸ ♥♠❪
✲✵✳✾✵✽
✵✳✾✵✽
❬✼✷✻ ♥♠❪
✲✵✳✾✵✽
✵✳✾✵✽
❬✼✷✾ ♥♠❪
✲✵✳✾✵✸
✵✳✾✵✸
❬✼✷✵ ♥♠❪
✲✵✳✾✵✷
✵✳✾✵✷
✭✐t❛❧✐❝
❢♦♥t ✮✿
❬✼✸✷ ♥♠❪
❬✽✵✾ ♥♠❪
❬✼✶✼ ♥♠❪
❬✼✸✺ ♥♠❪
❬✺✺✾ ♥♠❪
❬✼✸✽ ♥♠❪
❬✽✶✷ ♥♠❪
❬✼✶✹ ♥♠❪
❬✼✹✶ ♥♠❪
❬✹✻✾ ♥♠❪
❬✽✶✺ ♥♠❪
❬✼✽✸ ♥♠❪
❬✼✹✹ ♥♠❪
❬✽✶✽ ♥♠❪
❬✼✶✶ ♥♠❪
❬✽✻✵ ♥♠❪
❬✽✺✼ ♥♠❪
❬✽✻✸ ♥♠❪
❬✽✺✹ ♥♠❪
❬✽✷✶ ♥♠❪
❬✽✺✶ ♥♠❪
❬✽✻✻ ♥♠❪
❬✼✹✼ ♥♠❪
❬✽✹✽ ♥♠❪
❬✽✻✾ ♥♠❪
❬✽✹✺ ♥♠❪
❬✽✷✹ ♥♠❪
❬✽✹✷ ♥♠❪
❬✽✷✼ ♥♠❪
❬✽✸✾ ♥♠❪
❬✽✸✻ ♥♠❪
❬✽✸✵ ♥♠❪
❬✽✸✸ ♥♠❪
❬✽✼✷ ♥♠❪
❬✼✺✵ ♥♠❪
❬✺✻✷ ♥♠❪
❬✽✼✺ ♥♠❪
❬✼✵✽ ♥♠❪
❬✼✺✸ ♥♠❪
❬✹✼✷ ♥♠❪
❬✽✼✽ ♥♠❪
❬✼✺✻ ♥♠❪
❬✼✺✾ ♥♠❪
❬✼✵✺ ♥♠❪
✲✵✳✽✾✹
✵✳✽✽✾
✲✵✳✽✽✽
✲✵✳✽✽✸
✵✳✽✼✹
✲✵✳✽✻✾
✵✳✽✻✽
✲✵✳✽✻✹
✲✵✳✽✺✹
✵✳✽✺✹
✵✳✽✹✾
✵✳✽✸✾
✲✵✳✽✸✼
✵✳✽✸✸
✲✵✳✽✸✵
✵✳✽✷✸
✵✳✽✷✸
✵✳✽✷✸
✵✳✽✷✷
✵✳✽✷✵
✵✳✽✷✵
✵✳✽✶✾
✲✵✳✽✶✾
✵✳✽✶✻
✵✳✽✶✷
✵✳✽✶✷
✵✳✽✶✶
✵✳✽✵✾
✵✳✽✵✺
✵✳✽✵✺
✵✳✽✵✸
✵✳✽✵✷
✵✳✽✵✷
✵✳✽✵✶
✲✵✳✽✵✵
✵✳✼✽✼
✵✳✼✽✹
✲✵✳✼✽✹
✲✵✳✼✼✽
✵✳✼✻✺
✵✳✼✻✵
✲✵✳✼✺✺
✲✵✳✼✷✾
✲✵✳✼✷✻
✵✳✽✾✹
✵✳✽✽✾
✵✳✽✽✽
✵✳✽✽✸
✵✳✽✼✹
✵✳✽✻✾
✵✳✽✻✽
✵✳✽✻✹
✵✳✽✺✹
✵✳✽✺✹
✵✳✽✹✾
✵✳✽✸✾
✵✳✽✸✼
✵✳✽✸✸
✵✳✽✸✵
✵✳✽✷✸
✵✳✽✷✸
✵✳✽✷✸
✵✳✽✷✷
✵✳✽✷✵
✵✳✽✷✵
✵✳✽✶✾
✵✳✽✶✾
✵✳✽✶✻
✵✳✽✶✷
✵✳✽✶✷
✵✳✽✶✶
✵✳✽✵✾
✵✳✽✵✺
✵✳✽✵✺
✵✳✽✵✸
✵✳✽✵✷
✵✳✽✵✷
✵✳✽✵✶
✵✳✽✵✵
✵✳✼✽✼
✵✳✼✽✹
✵✳✼✽✹
✵✳✼✼✽
✵✳✼✻✺
✵✳✼✻✵
✵✳✼✺✺
✵✳✼✷✾
✵✳✼✷✻
❇❛♥❞ r ❬P❈✷❪
❬✽✽✶ ♥♠❪
✵✳✼✷✸
❬✺✻✺ ♥♠❪
✵✳✼✶✼
❬✼✻✷ ♥♠❪ ✲✵✳✻✾✽
❬✻✻✾ ♥♠❪
✵✳✻✾✶
❬✹✻✻ ♥♠❪
✵✳✻✼✼
❬✺✻✽ ♥♠❪
✵✳✻✼✻
❬✽✽✹ ♥♠❪
✵✳✻✼✵
❬✼✻✺ ♥♠❪ ✲✵✳✻✻✵
❬✼✵✷ ♥♠❪ ✲✵✳✻✺✾
❬✺✺✻ ♥♠❪
✵✳✻✺✽
❬✺✼✶ ♥♠❪
✵✳✻✺✷
❬✺✼✹ ♥♠❪
✵✳✻✸✼
❬✹✼✺ ♥♠❪
✵✳✻✸✸
❬✺✼✼ ♥♠❪
✵✳✻✷✽
❬✺✼✾ ♥♠❪
✵✳✻✷✵
❬✺✽✷ ♥♠❪
✵✳✻✶✸
❬✼✻✽ ♥♠❪ ✲✵✳✻✵✽
❬✺✽✺ ♥♠❪
✵✳✻✵✺
❬✺✽✽ ♥♠❪
✵✳✺✾✻
❬✽✽✼ ♥♠❪
✵✳✺✾✹
❬✺✾✶ ♥♠❪
✵✳✺✽✸
❬✻✾✾ ♥♠❪ ✲✵✳✺✽✸
❬✺✾✹ ♥♠❪
✵✳✺✻✽
❬✺✾✼ ♥♠❪
✵✳✺✹✼
❬✹✼✽ ♥♠❪
✵✳✺✸✷
❬✼✼✶ ♥♠❪ ✲✵✳✺✸✵
❬✻✵✵ ♥♠❪
✵✳✺✷✶
❬✻✾✻ ♥♠❪ ✲✵✳✺✵✷
❬✻✵✸ ♥♠❪
✵✳✹✽✽
❬✽✾✵ ♥♠❪
✵✳✹✽✺
❬✹✽✶ ♥♠❪
✵✳✹✺✻
❬✻✵✻ ♥♠❪
✵✳✹✹✼
❬✻✾✸ ♥♠❪ ✲✵✳✹✶✽
❬✹✽✹ ♥♠❪
✵✳✸✾✼
❬✼✼✹ ♥♠❪ ✲✵✳✸✾✺
❬✻✵✾ ♥♠❪
✵✳✸✾✺
❬✼✽✵ ♥♠❪
✵✳✸✾✸
❬✾✺✵ ♥♠❪
✵✳✸✽✹
❬✹✻✸ ♥♠❪
✵✳✸✼✾
❬✻✻✻ ♥♠❪
✵✳✸✻✸
❬✾✹✼ ♥♠❪
✵✳✸✺✶
❬✹✽✼ ♥♠❪
✵✳✸✹✼
❬✽✾✸ ♥♠❪
✵✳✸✹✻
❬✻✼✷ ♥♠❪
✵✳✸✹✹
❬✻✾✵ ♥♠❪ ✲✵✳✸✸✸
❬✻✶✷ ♥♠❪
✵✳✸✷✽
❬✾✹✹ ♥♠❪
✵✳✸✶✸
❬✹✾✵ ♥♠❪
✵✳✸✵✹
❬✾✹✶ ♥♠❪
✵✳✷✻✾
❬✹✾✸ ♥♠❪
✵✳✷✻✺
❬✾✶✶ ♥♠❪ ✲✵✳✷✺✵
❬✻✽✼ ♥♠❪ ✲✵✳✷✹✾
❬✻✶✺ ♥♠❪
✵✳✷✹✷
❬✾✶✹ ♥♠❪ ✲✵✳✷✹✷
❬✾✵✽ ♥♠❪ ✲✵✳✷✸✼
❬✹✾✻ ♥♠❪
✵✳✷✷✼
⑤r⑤
✵✳✼✷✸
✵✳✼✶✼
✵✳✻✾✽
✵✳✻✾✶
✵✳✻✼✼
✵✳✻✼✻
✵✳✻✼✵
✵✳✻✻✵
✵✳✻✺✾
✵✳✻✺✽
✵✳✻✺✷
✵✳✻✸✼
✵✳✻✸✸
✵✳✻✷✽
✵✳✻✷✵
✵✳✻✶✸
✵✳✻✵✽
✵✳✻✵✺
✵✳✺✾✻
✵✳✺✾✹
✵✳✺✽✸
✵✳✺✽✸
✵✳✺✻✽
✵✳✺✹✼
✵✳✺✸✷
✵✳✺✸✵
✵✳✺✷✶
✵✳✺✵✷
✵✳✹✽✽
✵✳✹✽✺
✵✳✹✺✻
✵✳✹✹✼
✵✳✹✶✽
✵✳✸✾✼
✵✳✸✾✺
✵✳✸✾✺
✵✳✸✾✸
✵✳✸✽✹
✵✳✸✼✾
✵✳✸✻✸
✵✳✸✺✶
✵✳✸✹✼
✵✳✸✹✻
✵✳✸✹✹
✵✳✸✸✸
✵✳✸✷✽
✵✳✸✶✸
✵✳✸✵✹
✵✳✷✻✾
✵✳✷✻✺
✵✳✷✺✵
✵✳✷✹✾
✵✳✷✹✷
✵✳✷✹✷
✵✳✷✸✼
✵✳✷✷✼
❇❛♥❞ r ❬P❈✷❪
❬✾✸✽ ♥♠❪
✵✳✷✶✽
❬✾✶✼ ♥♠❪ ✲✵✳✷✶✺
❬✾✵✺ ♥♠❪ ✲✵✳✷✵✸
❬✻✸✻ ♥♠❪ ✲✵✳✷✵✵
❬✻✸✾ ♥♠❪ ✲✵✳✶✾✽
❬✺✸✽ ♥♠❪ ✲✵✳✶✾✹
❬✺✸✺ ♥♠❪ ✲✵✳✶✾✶
❬✻✸✸ ♥♠❪ ✲✵✳✶✽✾
❬✺✺✸ ♥♠❪
✵✳✶✽✾
❬✺✹✶ ♥♠❪ ✲✵✳✶✽✾
❬✻✹✷ ♥♠❪ ✲✵✳✶✽✼
❬✽✾✻ ♥♠❪
✵✳✶✽✼
❬✺✸✷ ♥♠❪ ✲✵✳✶✽✷
❬✹✻✵ ♥♠❪
✵✳✶✼✻
❬✹✾✾ ♥♠❪
✵✳✶✼✶
❬✾✷✵ ♥♠❪ ✲✵✳✶✼✵
❬✺✹✹ ♥♠❪ ✲✵✳✶✼✵
❬✻✹✺ ♥♠❪ ✲✵✳✶✼✵
❬✺✷✾ ♥♠❪ ✲✵✳✶✻✽
❬✻✽✹ ♥♠❪ ✲✵✳✶✻✻
❬✻✸✵ ♥♠❪ ✲✵✳✶✻✹
❬✾✸✺ ♥♠❪
✵✳✶✺✾
❬✺✷✻ ♥♠❪ ✲✵✳✶✺✵
❬✻✻✸ ♥♠❪
✵✳✶✹✽
❬✻✹✽ ♥♠❪ ✲✵✳✶✹✻
❬✻✶✽ ♥♠❪
✵✳✶✹✸
❬✻✼✺ ♥♠❪
✵✳✶✸✻
❬✺✷✸ ♥♠❪ ✲✵✳✶✷✾
❬✺✹✼ ♥♠❪ ✲✵✳✶✷✼
❬✼✼✼ ♥♠❪ ✲✵✳✶✷✷
❬✺✵✷ ♥♠❪
✵✳✶✶✾
❬✻✷✼ ♥♠❪ ✲✵✳✶✶✽
❬✻✺✶ ♥♠❪ ✲✵✳✶✶✺
❬✾✷✸ ♥♠❪ ✲✵✳✶✶✷
❬✺✷✵ ♥♠❪ ✲✵✳✶✵✹
❬✾✵✷ ♥♠❪ ✲✵✳✶✵✸
❬✾✸✷ ♥♠❪
✵✳✵✾✺
❬✹✺✶ ♥♠❪ ✲✵✳✵✾✷
❬✻✽✶ ♥♠❪ ✲✵✳✵✽✵
❬✻✺✹ ♥♠❪ ✲✵✳✵✼✻
❬✺✶✼ ♥♠❪ ✲✵✳✵✼✻
❬✺✵✺ ♥♠❪
✵✳✵✼✷
❬✻✷✹ ♥♠❪ ✲✵✳✵✺✵
❬✹✺✼ ♥♠❪
✵✳✵✺✵
❬✾✷✻ ♥♠❪ ✲✵✳✵✹✺
❬✺✶✹ ♥♠❪ ✲✵✳✵✹✺
❬✻✻✵ ♥♠❪
✵✳✵✹✶
❬✻✷✶ ♥♠❪
✵✳✵✹✵
❬✹✺✹ ♥♠❪ ✲✵✳✵✸✸
❬✺✺✵ ♥♠❪ ✲✵✳✵✸✷
❬✽✾✾ ♥♠❪
✵✳✵✸✶
❬✺✵✽ ♥♠❪
✵✳✵✷✾
❬✻✺✼ ♥♠❪ ✲✵✳✵✷✻
❬✾✷✾ ♥♠❪
✵✳✵✷✻
❬✻✼✽ ♥♠❪
✵✳✵✶✺
❬✺✶✶ ♥♠❪ ✲✵✳✵✶✵
❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✼
⑤r⑤
✵✳✷✶✽
✵✳✷✶✺
✵✳✷✵✸
✵✳✷✵✵
✵✳✶✾✽
✵✳✶✾✹
✵✳✶✾✶
✵✳✶✽✾
✵✳✶✽✾
✵✳✶✽✾
✵✳✶✽✼
✵✳✶✽✼
✵✳✶✽✷
✵✳✶✼✻
✵✳✶✼✶
✵✳✶✼✵
✵✳✶✼✵
✵✳✶✼✵
✵✳✶✻✽
✵✳✶✻✻
✵✳✶✻✹
✵✳✶✺✾
✵✳✶✺✵
✵✳✶✹✽
✵✳✶✹✻
✵✳✶✹✸
✵✳✶✸✻
✵✳✶✷✾
✵✳✶✷✼
✵✳✶✷✷
✵✳✶✶✾
✵✳✶✶✽
✵✳✶✶✺
✵✳✶✶✷
✵✳✶✵✹
✵✳✶✵✸
✵✳✵✾✺
✵✳✵✾✷
✵✳✵✽✵
✵✳✵✼✻
✵✳✵✼✻
✵✳✵✼✷
✵✳✵✺✵
✵✳✵✺✵
✵✳✵✹✺
✵✳✵✹✺
✵✳✵✹✶
✵✳✵✹✵
✵✳✵✸✸
✵✳✵✸✷
✵✳✵✸✶
✵✳✵✷✾
✵✳✵✷✻
✵✳✵✷✻
✵✳✵✶✺
✵✳✵✶✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Summary of principal component analysis
2nd derivative
17 d a i
14 d a i
5
●
6
●
●
●
●
●●
●
●
●
●
●
●
●
● ●●
●
●
●
●
3
PC2 (26.6% var.)
●
● ●
●
●
● ●
● ●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
−3
●
●
●
0
●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
●
● ●
●
●
−6
−6
−4
−2
0
2
●
●
●
●
●
●
●
0
●
●
●
●
−5.0
−2.5
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
−
●
●
●
●
−4
●
●
●
0
●
●
●
●
●
●
●●
● ●
●
●
0
4
●
● ●
●
●●
●
●
●
●
●
●
●
●
−5
−
0
5
PC1 (40.0% var.)
5dai
●
●
●
●
●
●
●
−3 ●
●
●
●
●
●
●
●
● ●
●
●
●
●
●
●
−
●
●
−6
●
●
−4
●
●
0
●
● ●●
●
●
●
●
●
●
−
●
10
−10
−5
0
5
PC1 (53.4% var.)
3dai
1dbi
6
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
0
●
●●
●
● ●
●●
●
●
●
●
●
●
● ●
●
●
●●●
●
●●
●
−4
●
●
●
●
●
●
●
●
● ●
●● ●
●
● ●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
−
●
●
●
●
●
●
●
●
●
●●
●
●
● ●
●
●
●
●
●
●
●
●
PC2 (24.9% var.)
●●
PC2 (25.5% var.)
●
●
●
−4
0
●
●●
●●
●
●
●
●
●
●
●
●
●
●
●
● ●
●
● ● ●
●
●●
●
0
●
−3
●●
●
●
●
●
●
−6
−
4
●
−4
●
0
Group
●
Control
●
●
●
●
4
8
PC1 (48.7% var.)
●
●
●
●
●
●
−
Label
●
●
●
●
●
●
●
●
●
●
● ● ●
●
●
●
●
●
●
●
PC1 (47.8% var.)
●
3
●
●
●
● ●
●
●
4
●
●
●
●
●
●
●
●
● ● ●
●●
●
●
●
●
●
●
●
●
●
●
● ●
●
5
PC1 (53.7% var.)
8
●
●
●
●
●
●
●
●
0
● ● ● ●●
●
●
●
●
●
●
●
● ●●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
−5
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
●●
●
●
●
●
●
●
●
●
●
4
●
●
●
●●
● ●
●
●
●
●●
●
● ●
●●●
●
●
0
●
PC2 (25.5% var.)
PC2 (23.4% var.)
3
●
●
●
●
●
●
●
7dai
●
●
● ●●
●
PC1 (44.6% var.)
●
●
● ●
●
● ●
●
−4
●
●
●
●
●●
●
●
−6
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
●
−3
●
●
●
4
●
●
●
●
2.5
●
●
●
●
●
0.0
PC1 (42.0% var.)
●
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
●
10 d a i
●
●
●
●
● ●
●
●
●
●
●
−5
●
PC2 (36.1% var.)
PC2 (33.1% var.)
●
3
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
●
12 d a i
●
●
●
4
−
PC1 (48.4% var.)
6
●
●
●
●
●
●
●
●
●
●
●●
●
●
●
●
●
●
●
●
●●
●
●
0
●
●
−
●
PC2 (35.5% var.)
●
●
●
●
●
Inoculated
❋✐❣✉r❡ ✽✳✹✿ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ s✉r❢❛❝❡
t✐ss✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳
✼✽
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✷✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✼ ❞❛✐✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✼✺✾ ♥♠❪
✲✵✳✾✾✶
✵✳✾✾✶
❬✼✻✷ ♥♠❪
✲✵✳✾✾✶
✵✳✾✾✶
❬✼✺✻ ♥♠❪
✲✵✳✾✾✵
✵✳✾✾✵
❬✼✻✺ ♥♠❪
✲✵✳✾✾✵
✵✳✾✾✵
❬✻✾✾ ♥♠❪
✵✳✾✾✵
✵✳✾✾✵
❬✼✵✷ ♥♠❪
✵✳✾✽✾
✵✳✾✽✾
❬✼✻✽ ♥♠❪
✲✵✳✾✽✾
✵✳✾✽✾
❬✼✺✸ ♥♠❪
✲✵✳✾✽✾
✵✳✾✽✾
❬✼✼✶ ♥♠❪
✲✵✳✾✽✽
✵✳✾✽✽
❬✻✾✻ ♥♠❪
✵✳✾✽✽
✵✳✾✽✽
❬✼✵✺ ♥♠❪
✵✳✾✽✼
✵✳✾✽✼
❬✼✼✹ ♥♠❪
✲✵✳✾✽✼
✵✳✾✽✼
❬✼✺✵ ♥♠❪
✲✵✳✾✽✻
✵✳✾✽✻
❬✼✼✼ ♥♠❪
✲✵✳✾✽✺
✵✳✾✽✺
❬✼✵✽ ♥♠❪
✵✳✾✽✸
✵✳✾✽✸
❬✼✽✵ ♥♠❪
✲✵✳✾✽✷
✵✳✾✽✷
❬✻✾✸ ♥♠❪
✵✳✾✽✷
✵✳✾✽✷
❬✼✹✼ ♥♠❪
✲✵✳✾✽✶
✵✳✾✽✶
❬✼✽✸ ♥♠❪
✲✵✳✾✼✾
✵✳✾✼✾
❬✼✶✶ ♥♠❪
✵✳✾✼✻
✵✳✾✼✻
❬✼✽✻ ♥♠❪
✲✵✳✾✼✸
✵✳✾✼✸
❬✼✹✹ ♥♠❪
✲✵✳✾✼✶
✵✳✾✼✶
❬✻✾✵ ♥♠❪
✵✳✾✻✾
✵✳✾✻✾
❬✼✶✹ ♥♠❪
✵✳✾✻✼
✵✳✾✻✼
❬✼✽✾ ♥♠❪
✲✵✳✾✻✸
✵✳✾✻✸
❬✻✶✺ ♥♠❪
✵✳✾✺✾
✵✳✾✺✾
❬✻✶✷ ♥♠❪
✵✳✾✺✾
✵✳✾✺✾
❬✻✶✽ ♥♠❪
✵✳✾✺✽
✵✳✾✺✽
❬✻✵✾ ♥♠❪
✵✳✾✺✼
✵✳✾✺✼
❬✻✷✶ ♥♠❪
✵✳✾✺✻
✵✳✾✺✻
❬✻✵✻ ♥♠❪
✵✳✾✺✺
✵✳✾✺✺
❬✻✷✹ ♥♠❪
✵✳✾✺✸
✵✳✾✺✸
❬✻✵✸ ♥♠❪
✵✳✾✺✷
✵✳✾✺✷
❬✼✶✼ ♥♠❪
✵✳✾✺✷
✵✳✾✺✷
❬✻✵✵ ♥♠❪
✵✳✾✺✵
✵✳✾✺✵
❬✼✹✶ ♥♠❪
✲✵✳✾✺✵
✵✳✾✺✵
❬✻✷✼ ♥♠❪
✵✳✾✹✽
✵✳✾✹✽
❬✺✾✼ ♥♠❪
✵✳✾✹✽
✵✳✾✹✽
❬✺✾✹ ♥♠❪
✵✳✾✹✼
✵✳✾✹✼
❬✼✾✷ ♥♠❪
✲✵✳✾✹✺
✵✳✾✹✺
❬✺✾✶ ♥♠❪
✵✳✾✹✺
✵✳✾✹✺
❬✻✽✼ ♥♠❪
✵✳✾✹✹
✵✳✾✹✹
❬✻✸✵ ♥♠❪
✵✳✾✹✷
✵✳✾✹✷
❬✺✽✽ ♥♠❪
✵✳✾✸✸
✵✳✾✸✸
❬✻✸✸ ♥♠❪
✵✳✾✸✶
✵✳✾✸✶
❬✼✷✵ ♥♠❪
✵✳✾✷✼
✵✳✾✷✼
❬✺✶✼ ♥♠❪
✵✳✾✷✺
✵✳✾✷✺
❬✺✶✹ ♥♠❪
✵✳✾✷✸
✵✳✾✷✸
❬✼✾✺ ♥♠❪
✲✵✳✾✶✶
✵✳✾✶✶
❬✻✸✻ ♥♠❪
✵✳✾✵✸
✵✳✾✵✸
✵✳✾✵✵
✵✳✾✵✵
❬✻✽✹ ♥♠❪
❬✼✸✽ ♥♠❪
❬✼✷✸ ♥♠❪
❬✺✽✺ ♥♠❪
❬✺✶✶ ♥♠❪
❬✼✾✽ ♥♠❪
✲✵✳✽✾✽
✵✳✽✼✽
✵✳✽✻✹
✵✳✽✻✶
✲✵✳✽✹✺
✭✐t❛❧✐❝
❢♦♥t ✮✿
✵✳✽✾✽
✵✳✽✼✽
✵✳✽✻✹
✵✳✽✻✶
✵✳✽✹✺
❇❛♥❞ r ❬P❈✶❪
❬✻✽✶ ♥♠❪
✵✳✽✷✶
❬✺✷✵ ♥♠❪
✵✳✽✶✻
❬✻✹✽ ♥♠❪ ✲✵✳✼✼✷
❬✻✺✶ ♥♠❪ ✲✵✳✼✼✷
❬✺✵✽ ♥♠❪
✵✳✼✼✶
❬✼✷✻ ♥♠❪
✵✳✼✻✶
❬✻✸✾ ♥♠❪
✵✳✼✺✾
❬✼✸✺ ♥♠❪ ✲✵✳✼✹✻
❬✻✺✹ ♥♠❪ ✲✵✳✼✹✺
❬✽✵✵ ♥♠❪ ✲✵✳✼✷✷
❬✽✽✹ ♥♠❪
✵✳✼✷✷
❬✹✺✶ ♥♠❪ ✲✵✳✼✷✷
❬✽✽✼ ♥♠❪
✵✳✼✷✶
❬✽✽✶ ♥♠❪
✵✳✼✶✻
❬✽✾✵ ♥♠❪
✵✳✼✶✵
❬✹✺✹ ♥♠❪ ✲✵✳✼✵✾
❬✽✼✽ ♥♠❪
✵✳✼✵✼
❬✻✹✺ ♥♠❪ ✲✵✳✼✵✶
❬✻✺✼ ♥♠❪ ✲✵✳✻✾✺
❬✽✼✺ ♥♠❪
✵✳✻✾✹
❬✹✺✼ ♥♠❪ ✲✵✳✻✾✹
❬✽✾✸ ♥♠❪
✵✳✻✽✺
❬✻✼✽ ♥♠❪
✵✳✻✽✹
❬✽✼✷ ♥♠❪
✵✳✻✽✶
❬✹✻✵ ♥♠❪ ✲✵✳✻✼✻
❬✽✻✾ ♥♠❪
✵✳✻✻✺
❬✺✵✺ ♥♠❪
✵✳✻✻✸
❬✹✻✸ ♥♠❪ ✲✵✳✻✺✻
❬✽✻✻ ♥♠❪
✵✳✻✹✼
❬✽✾✻ ♥♠❪
✵✳✻✸✺
❬✹✻✻ ♥♠❪ ✲✵✳✻✸✷
❬✽✻✸ ♥♠❪
✵✳✻✷✺
❬✺✻✺ ♥♠❪ ✲✵✳✻✷✺
❬✺✻✽ ♥♠❪ ✲✵✳✻✷✶
❬✻✻✵ ♥♠❪ ✲✵✳✻✶✾
❬✺✻✷ ♥♠❪ ✲✵✳✻✶✾
❬✺✺✾ ♥♠❪ ✲✵✳✻✵✻
❬✹✻✾ ♥♠❪ ✲✵✳✻✵✷
❬✺✼✶ ♥♠❪ ✲✵✳✻✵✶
❬✽✻✵ ♥♠❪
✵✳✻✵✵
❬✾✺✵ ♥♠❪ ✲✵✳✺✾✻
❬✾✹✼ ♥♠❪ ✲✵✳✺✾✵
❬✺✺✻ ♥♠❪ ✲✵✳✺✽✾
❬✾✹✹ ♥♠❪ ✲✵✳✺✽✸
❬✺✷✸ ♥♠❪
✵✳✺✽✷
❬✾✹✶ ♥♠❪ ✲✵✳✺✼✺
❬✽✺✼ ♥♠❪
✵✳✺✻✾
❬✹✼✷ ♥♠❪ ✲✵✳✺✻✼
❬✺✺✸ ♥♠❪ ✲✵✳✺✻✼
❬✾✸✽ ♥♠❪ ✲✵✳✺✻✻
❬✾✸✺ ♥♠❪ ✲✵✳✺✺✹
❬✺✼✹ ♥♠❪ ✲✵✳✺✺✵
❬✽✾✾ ♥♠❪
✵✳✺✹✷
❬✾✸✷ ♥♠❪ ✲✵✳✺✹✶
❬✺✵✷ ♥♠❪
✵✳✺✹✵
❬✺✺✵ ♥♠❪ ✲✵✳✺✹✵
⑤r⑤
✵✳✽✷✶
✵✳✽✶✻
✵✳✼✼✷
✵✳✼✼✷
✵✳✼✼✶
✵✳✼✻✶
✵✳✼✺✾
✵✳✼✹✻
✵✳✼✹✺
✵✳✼✷✷
✵✳✼✷✷
✵✳✼✷✷
✵✳✼✷✶
✵✳✼✶✻
✵✳✼✶✵
✵✳✼✵✾
✵✳✼✵✼
✵✳✼✵✶
✵✳✻✾✺
✵✳✻✾✹
✵✳✻✾✹
✵✳✻✽✺
✵✳✻✽✹
✵✳✻✽✶
✵✳✻✼✻
✵✳✻✻✺
✵✳✻✻✸
✵✳✻✺✻
✵✳✻✹✼
✵✳✻✸✺
✵✳✻✸✷
✵✳✻✷✺
✵✳✻✷✺
✵✳✻✷✶
✵✳✻✶✾
✵✳✻✶✾
✵✳✻✵✻
✵✳✻✵✷
✵✳✻✵✶
✵✳✻✵✵
✵✳✺✾✻
✵✳✺✾✵
✵✳✺✽✾
✵✳✺✽✸
✵✳✺✽✷
✵✳✺✼✺
✵✳✺✻✾
✵✳✺✻✼
✵✳✺✻✼
✵✳✺✻✻
✵✳✺✺✹
✵✳✺✺✵
✵✳✺✹✷
✵✳✺✹✶
✵✳✺✹✵
✵✳✺✹✵
❇❛♥❞ r ❬P❈✶❪
❬✽✵✸ ♥♠❪ ✲✵✳✺✷✼
❬✾✷✾ ♥♠❪ ✲✵✳✺✷✸
❬✹✼✺ ♥♠❪ ✲✵✳✺✷✸
❬✺✽✷ ♥♠❪
✵✳✺✶✾
❬✽✺✹ ♥♠❪
✵✳✺✶✺
❬✺✹✼ ♥♠❪ ✲✵✳✺✵✻
❬✻✻✸ ♥♠❪ ✲✵✳✺✵✹
❬✾✷✻ ♥♠❪ ✲✵✳✺✵✶
❬✾✷✸ ♥♠❪ ✲✵✳✹✼✸
❬✹✼✽ ♥♠❪ ✲✵✳✹✻✾
❬✻✼✺ ♥♠❪
✵✳✹✻✾
❬✺✹✹ ♥♠❪ ✲✵✳✹✻✹
❬✾✷✵ ♥♠❪ ✲✵✳✹✸✺
❬✽✺✶ ♥♠❪
✵✳✹✸✵
❬✼✷✾ ♥♠❪
✵✳✹✷✽
❬✺✼✼ ♥♠❪ ✲✵✳✹✷✹
❬✺✹✶ ♥♠❪ ✲✵✳✹✶✶
❬✹✾✾ ♥♠❪
✵✳✹✵✶
❬✹✽✶ ♥♠❪ ✲✵✳✹✵✶
❬✾✵✷ ♥♠❪
✵✳✸✾✶
❬✾✶✼ ♥♠❪ ✲✵✳✸✽✷
❬✺✸✽ ♥♠❪ ✲✵✳✸✹✶
❬✻✻✻ ♥♠❪ ✲✵✳✸✸✹
❬✽✹✽ ♥♠❪
✵✳✸✸✸
❬✹✽✹ ♥♠❪ ✲✵✳✸✶✻
❬✾✶✹ ♥♠❪ ✲✵✳✸✵✻
❬✺✷✻ ♥♠❪
✵✳✸✵✸
❬✽✵✻ ♥♠❪ ✲✵✳✷✾✺
❬✼✸✷ ♥♠❪ ✲✵✳✷✼✹
❬✽✹✺ ♥♠❪
✵✳✷✹✽
❬✹✾✻ ♥♠❪
✵✳✷✹✼
❬✺✸✺ ♥♠❪ ✲✵✳✷✹✼
❬✹✽✼ ♥♠❪ ✲✵✳✷✵✾
❬✾✶✶ ♥♠❪ ✲✵✳✶✾✸
❬✻✹✷ ♥♠❪ ✲✵✳✶✾✶
❬✻✼✷ ♥♠❪
✵✳✶✽✾
❬✽✹✷ ♥♠❪
✵✳✶✽✼
❬✾✵✺ ♥♠❪
✵✳✶✽✻
❬✽✷✶ ♥♠❪
✵✳✶✽✶
❬✽✷✹ ♥♠❪
✵✳✶✼✸
❬✽✶✽ ♥♠❪
✵✳✶✼✶
❬✽✷✼ ♥♠❪
✵✳✶✺✻
❬✽✸✾ ♥♠❪
✵✳✶✺✵
❬✽✸✵ ♥♠❪
✵✳✶✹✶
❬✽✸✻ ♥♠❪
✵✳✶✸✼
❬✽✸✸ ♥♠❪
✵✳✶✸✸
❬✽✶✺ ♥♠❪
✵✳✶✸✵
❬✺✸✷ ♥♠❪ ✲✵✳✶✶✼
❬✻✻✾ ♥♠❪ ✲✵✳✵✾✾
❬✺✼✾ ♥♠❪ ✲✵✳✵✾✽
❬✽✵✾ ♥♠❪ ✲✵✳✵✾✷
❬✹✾✵ ♥♠❪ ✲✵✳✵✼✽
❬✹✾✸ ♥♠❪
✵✳✵✼✼
❬✺✷✾ ♥♠❪
✵✳✵✻✸
❬✽✶✷ ♥♠❪
✵✳✵✹✽
❬✾✵✽ ♥♠❪ ✲✵✳✵✸✶
❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✼✾
⑤r⑤
✵✳✺✷✼
✵✳✺✷✸
✵✳✺✷✸
✵✳✺✶✾
✵✳✺✶✺
✵✳✺✵✻
✵✳✺✵✹
✵✳✺✵✶
✵✳✹✼✸
✵✳✹✻✾
✵✳✹✻✾
✵✳✹✻✹
✵✳✹✸✺
✵✳✹✸✵
✵✳✹✷✽
✵✳✹✷✹
✵✳✹✶✶
✵✳✹✵✶
✵✳✹✵✶
✵✳✸✾✶
✵✳✸✽✷
✵✳✸✹✶
✵✳✸✸✹
✵✳✸✸✸
✵✳✸✶✻
✵✳✸✵✻
✵✳✸✵✸
✵✳✷✾✺
✵✳✷✼✹
✵✳✷✹✽
✵✳✷✹✼
✵✳✷✹✼
✵✳✷✵✾
✵✳✶✾✸
✵✳✶✾✶
✵✳✶✽✾
✵✳✶✽✼
✵✳✶✽✻
✵✳✶✽✶
✵✳✶✼✸
✵✳✶✼✶
✵✳✶✺✻
✵✳✶✺✵
✵✳✶✹✶
✵✳✶✸✼
✵✳✶✸✸
✵✳✶✸✵
✵✳✶✶✼
✵✳✵✾✾
✵✳✵✾✽
✵✳✵✾✷
✵✳✵✼✽
✵✳✵✼✼
✵✳✵✻✸
✵✳✵✹✽
✵✳✵✸✶
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✸✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✹ ❞❛✐✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✼✽✾ ♥♠❪
✲✵✳✾✻✼
✵✳✾✻✼
❬✼✾✷ ♥♠❪
✲✵✳✾✻✻
✵✳✾✻✻
❬✼✽✻ ♥♠❪
✲✵✳✾✻✺
✵✳✾✻✺
❬✼✽✸ ♥♠❪
✲✵✳✾✻✷
✵✳✾✻✷
❬✼✽✵ ♥♠❪
✲✵✳✾✺✽
✵✳✾✺✽
❬✼✶✶ ♥♠❪
✵✳✾✺✽
✵✳✾✺✽
❬✼✾✺ ♥♠❪
✲✵✳✾✺✼
✵✳✾✺✼
❬✼✶✹ ♥♠❪
✵✳✾✺✹
✵✳✾✺✹
❬✼✼✼ ♥♠❪
✲✵✳✾✺✹
✵✳✾✺✹
❬✼✵✽ ♥♠❪
✵✳✾✺✵
✵✳✾✺✵
❬✼✼✹ ♥♠❪
✲✵✳✾✹✽
✵✳✾✹✽
❬✼✼✶ ♥♠❪
✲✵✳✾✹✷
✵✳✾✹✷
❬✼✶✼ ♥♠❪
✵✳✾✸✺
✵✳✾✸✺
❬✼✻✽ ♥♠❪
✲✵✳✾✸✹
✵✳✾✸✹
❬✼✵✺ ♥♠❪
✵✳✾✸✸
✵✳✾✸✸
❬✻✷✹ ♥♠❪
✵✳✾✸✸
✵✳✾✸✸
❬✻✷✼ ♥♠❪
✵✳✾✸✶
✵✳✾✸✶
❬✻✷✶ ♥♠❪
✵✳✾✸✶
✵✳✾✸✶
❬✼✾✽ ♥♠❪
✲✵✳✾✸✵
✵✳✾✸✵
❬✻✸✵ ♥♠❪
✵✳✾✷✺
✵✳✾✷✺
❬✼✻✺ ♥♠❪
✲✵✳✾✷✺
✵✳✾✷✺
❬✻✶✽ ♥♠❪
✵✳✾✷✹
✵✳✾✷✹
❬✼✻✷ ♥♠❪
✲✵✳✾✶✸
✵✳✾✶✸
❬✻✶✺ ♥♠❪
✵✳✾✶✸
✵✳✾✶✸
❬✻✸✸ ♥♠❪
✵✳✾✶✷
✵✳✾✶✷
❬✼✵✷ ♥♠❪
✵✳✾✵✽
✵✳✾✵✽
❬✺✽✽ ♥♠❪
✵✳✾✵✶
✵✳✾✵✶
❬✻✶✷ ♥♠❪
❬✼✺✾ ♥♠❪
❬✺✷✵ ♥♠❪
❬✼✷✵ ♥♠❪
❬✺✾✶ ♥♠❪
❬✻✵✾ ♥♠❪
❬✼✺✻ ♥♠❪
❬✻✸✻ ♥♠❪
❬✻✾✾ ♥♠❪
❬✽✵✵ ♥♠❪
❬✻✵✻ ♥♠❪
❬✺✾✹ ♥♠❪
❬✼✺✸ ♥♠❪
❬✻✵✸ ♥♠❪
❬✺✾✼ ♥♠❪
❬✻✵✵ ♥♠❪
❬✻✾✻ ♥♠❪
❬✼✺✵ ♥♠❪
❬✺✶✼ ♥♠❪
❬✹✺✶ ♥♠❪
❬✹✺✹ ♥♠❪
❬✹✺✼ ♥♠❪
❬✼✷✸ ♥♠❪
❬✺✷✸ ♥♠❪
❬✼✹✼ ♥♠❪
❬✹✻✵ ♥♠❪
❬✻✾✸ ♥♠❪
❬✹✻✸ ♥♠❪
❬✺✽✺ ♥♠❪
✵✳✽✾✾
✲✵✳✽✾✾
✵✳✽✾✶
✵✳✽✽✾
✵✳✽✽✻
✵✳✽✽✷
✲✵✳✽✽✶
✵✳✽✼✹
✵✳✽✼✸
✲✵✳✽✻✼
✵✳✽✻✻
✵✳✽✺✽
✲✵✳✽✺✼
✵✳✽✺✶
✵✳✽✹✹
✵✳✽✹✸
✵✳✽✷✻
✲✵✳✽✷✻
✵✳✽✷✹
✲✵✳✽✷✵
✲✵✳✽✵✾
✲✵✳✼✾✻
✵✳✼✾✹
✵✳✼✾✵
✲✵✳✼✽✸
✲✵✳✼✽✶
✵✳✼✻✻
✲✵✳✼✻✹
✵✳✼✻✵
✭✐t❛❧✐❝
❢♦♥t ✮✿
✵✳✽✾✾
✵✳✽✾✾
✵✳✽✾✶
✵✳✽✽✾
✵✳✽✽✻
✵✳✽✽✷
✵✳✽✽✶
✵✳✽✼✹
✵✳✽✼✸
✵✳✽✻✼
✵✳✽✻✻
✵✳✽✺✽
✵✳✽✺✼
✵✳✽✺✶
✵✳✽✹✹
✵✳✽✹✸
✵✳✽✷✻
✵✳✽✷✻
✵✳✽✷✹
✵✳✽✷✵
✵✳✽✵✾
✵✳✼✾✻
✵✳✼✾✹
✵✳✼✾✵
✵✳✼✽✸
✵✳✼✽✶
✵✳✼✻✻
✵✳✼✻✹
✵✳✼✻✵
❇❛♥❞ r ❬P❈✶❪
❬✽✽✶ ♥♠❪
✵✳✼✺✺
❬✽✽✹ ♥♠❪
✵✳✼✺✹
❬✽✼✽ ♥♠❪
✵✳✼✺✷
❬✽✵✸ ♥♠❪ ✲✵✳✼✹✾
❬✽✽✼ ♥♠❪
✵✳✼✹✾
❬✽✼✺ ♥♠❪
✵✳✼✹✼
❬✹✻✻ ♥♠❪ ✲✵✳✼✹✸
❬✽✼✷ ♥♠❪
✵✳✼✸✽
❬✽✾✵ ♥♠❪
✵✳✼✸✽
❬✾✺✵ ♥♠❪ ✲✵✳✼✸✵
❬✾✹✼ ♥♠❪ ✲✵✳✼✷✼
❬✽✻✾ ♥♠❪
✵✳✼✷✸
❬✼✹✹ ♥♠❪ ✲✵✳✼✷✸
❬✾✹✹ ♥♠❪ ✲✵✳✼✷✸
❬✹✻✾ ♥♠❪ ✲✵✳✼✶✾
❬✾✹✶ ♥♠❪ ✲✵✳✼✶✽
❬✽✾✸ ♥♠❪
✵✳✼✶✸
❬✾✸✽ ♥♠❪ ✲✵✳✼✶✷
❬✾✸✺ ♥♠❪ ✲✵✳✼✵✹
❬✽✻✻ ♥♠❪
✵✳✼✵✹
❬✾✸✷ ♥♠❪ ✲✵✳✻✾✺
❬✻✾✵ ♥♠❪
✵✳✻✾✶
❬✹✼✷ ♥♠❪ ✲✵✳✻✽✾
❬✾✷✾ ♥♠❪ ✲✵✳✻✽✹
❬✽✻✸ ♥♠❪
✵✳✻✼✾
❬✾✷✻ ♥♠❪ ✲✵✳✻✻✾
❬✺✶✹ ♥♠❪
✵✳✻✻✼
❬✽✾✻ ♥♠❪
✵✳✻✻✻
❬✹✼✺ ♥♠❪ ✲✵✳✻✺✸
❬✽✻✵ ♥♠❪
✵✳✻✹✽
❬✾✷✸ ♥♠❪ ✲✵✳✻✹✽
❬✻✸✾ ♥♠❪
✵✳✻✸✻
❬✼✹✶ ♥♠❪ ✲✵✳✻✸✺
❬✻✹✽ ♥♠❪ ✲✵✳✻✷✻
❬✾✷✵ ♥♠❪ ✲✵✳✻✶✽
❬✼✷✻ ♥♠❪
✵✳✻✶✼
❬✹✼✽ ♥♠❪ ✲✵✳✻✶✵
❬✻✺✶ ♥♠❪ ✲✵✳✻✵✾
❬✽✺✼ ♥♠❪
✵✳✻✵✽
❬✺✷✻ ♥♠❪
✵✳✻✵✷
❬✻✽✼ ♥♠❪
✵✳✻✵✵
❬✽✵✻ ♥♠❪ ✲✵✳✺✽✹
❬✻✹✺ ♥♠❪ ✲✵✳✺✽✵
❬✾✶✼ ♥♠❪ ✲✵✳✺✼✹
❬✽✾✾ ♥♠❪
✵✳✺✼✸
❬✻✺✹ ♥♠❪ ✲✵✳✺✻✻
❬✹✽✶ ♥♠❪ ✲✵✳✺✺✼
❬✽✺✹ ♥♠❪
✵✳✺✺✵
❬✺✶✶ ♥♠❪
✵✳✺✵✼
❬✻✺✼ ♥♠❪ ✲✵✳✺✵✺
❬✾✶✹ ♥♠❪ ✲✵✳✺✵✹
❬✼✸✽ ♥♠❪ ✲✵✳✺✵✵
❬✻✽✹ ♥♠❪
✵✳✹✾✺
❬✹✽✹ ♥♠❪ ✲✵✳✹✾✸
❬✽✺✶ ♥♠❪
✵✳✹✼✼
❬✻✻✵ ♥♠❪ ✲✵✳✹✸✵
⑤r⑤
✵✳✼✺✺
✵✳✼✺✹
✵✳✼✺✷
✵✳✼✹✾
✵✳✼✹✾
✵✳✼✹✼
✵✳✼✹✸
✵✳✼✸✽
✵✳✼✸✽
✵✳✼✸✵
✵✳✼✷✼
✵✳✼✷✸
✵✳✼✷✸
✵✳✼✷✸
✵✳✼✶✾
✵✳✼✶✽
✵✳✼✶✸
✵✳✼✶✷
✵✳✼✵✹
✵✳✼✵✹
✵✳✻✾✺
✵✳✻✾✶
✵✳✻✽✾
✵✳✻✽✹
✵✳✻✼✾
✵✳✻✻✾
✵✳✻✻✼
✵✳✻✻✻
✵✳✻✺✸
✵✳✻✹✽
✵✳✻✹✽
✵✳✻✸✻
✵✳✻✸✺
✵✳✻✷✻
✵✳✻✶✽
✵✳✻✶✼
✵✳✻✶✵
✵✳✻✵✾
✵✳✻✵✽
✵✳✻✵✷
✵✳✻✵✵
✵✳✺✽✹
✵✳✺✽✵
✵✳✺✼✹
✵✳✺✼✸
✵✳✺✻✻
✵✳✺✺✼
✵✳✺✺✵
✵✳✺✵✼
✵✳✺✵✺
✵✳✺✵✹
✵✳✺✵✵
✵✳✹✾✺
✵✳✹✾✸
✵✳✹✼✼
✵✳✹✸✵
❇❛♥❞ r ❬P❈✶❪
❬✺✷✾ ♥♠❪
✵✳✹✷✼
❬✹✽✼ ♥♠❪ ✲✵✳✹✶✻
❬✽✵✾ ♥♠❪ ✲✵✳✹✶✸
❬✾✵✷ ♥♠❪
✵✳✸✾✺
❬✺✽✷ ♥♠❪
✵✳✸✾✹
❬✾✶✶ ♥♠❪ ✲✵✳✸✽✼
❬✻✽✶ ♥♠❪
✵✳✸✼✼
❬✺✵✽ ♥♠❪
✵✳✸✻✺
❬✽✹✽ ♥♠❪
✵✳✸✻✺
❬✻✻✸ ♥♠❪ ✲✵✳✸✹✶
❬✼✷✾ ♥♠❪
✵✳✸✸✻
❬✹✾✵ ♥♠❪ ✲✵✳✸✷✺
❬✼✸✺ ♥♠❪ ✲✵✳✷✾✹
❬✺✸✷ ♥♠❪
✵✳✷✾✶
❬✽✶✷ ♥♠❪ ✲✵✳✷✼✻
❬✻✹✷ ♥♠❪ ✲✵✳✷✻✷
❬✻✼✽ ♥♠❪
✵✳✷✺✶
❬✻✻✻ ♥♠❪ ✲✵✳✷✹✵
❬✺✵✺ ♥♠❪
✵✳✷✸✾
❬✹✾✸ ♥♠❪ ✲✵✳✷✷✵
❬✽✹✺ ♥♠❪
✵✳✷✷✵
❬✺✸✺ ♥♠❪
✵✳✶✽✾
❬✽✶✺ ♥♠❪ ✲✵✳✶✽✻
❬✾✵✽ ♥♠❪ ✲✵✳✶✽✻
❬✺✻✺ ♥♠❪ ✲✵✳✶✻✸
❬✺✻✽ ♥♠❪ ✲✵✳✶✻✷
❬✺✻✷ ♥♠❪ ✲✵✳✶✺✺
❬✺✼✶ ♥♠❪ ✲✵✳✶✹✽
❬✺✺✾ ♥♠❪ ✲✵✳✶✹✶
❬✽✶✽ ♥♠❪ ✲✵✳✶✸✷
❬✻✻✾ ♥♠❪ ✲✵✳✶✷✽
❬✺✺✻ ♥♠❪ ✲✵✳✶✷✷
❬✺✵✷ ♥♠❪
✵✳✶✷✷
❬✻✼✺ ♥♠❪
✵✳✶✷✶
❬✾✵✺ ♥♠❪
✵✳✶✶✻
❬✺✼✹ ♥♠❪ ✲✵✳✶✶✸
❬✺✸✽ ♥♠❪
✵✳✶✶✶
❬✺✼✾ ♥♠❪
✵✳✶✵✾
❬✽✷✶ ♥♠❪ ✲✵✳✶✵✽
❬✽✸✵ ♥♠❪ ✲✵✳✶✵✻
❬✽✸✸ ♥♠❪ ✲✵✳✶✵✹
❬✹✾✻ ♥♠❪ ✲✵✳✶✵✹
❬✽✷✹ ♥♠❪ ✲✵✳✶✵✷
❬✽✷✼ ♥♠❪ ✲✵✳✶✵✶
❬✺✺✸ ♥♠❪ ✲✵✳✵✾✾
❬✽✸✻ ♥♠❪ ✲✵✳✵✽✷
❬✺✺✵ ♥♠❪ ✲✵✳✵✼✶
❬✽✹✷ ♥♠❪
✵✳✵✼✶
❬✺✹✶ ♥♠❪
✵✳✵✺✵
❬✺✼✼ ♥♠❪ ✲✵✳✵✸✾
❬✺✹✼ ♥♠❪ ✲✵✳✵✸✽
❬✽✸✾ ♥♠❪ ✲✵✳✵✷✽
❬✹✾✾ ♥♠❪
✵✳✵✵✾
❬✻✼✷ ♥♠❪ ✲✵✳✵✵✻
❬✺✹✹ ♥♠❪
✵✳✵✵✶
❬✼✸✷ ♥♠❪
✵✳✵✵✵
❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✽✵
⑤r⑤
✵✳✹✷✼
✵✳✹✶✻
✵✳✹✶✸
✵✳✸✾✺
✵✳✸✾✹
✵✳✸✽✼
✵✳✸✼✼
✵✳✸✻✺
✵✳✸✻✺
✵✳✸✹✶
✵✳✸✸✻
✵✳✸✷✺
✵✳✷✾✹
✵✳✷✾✶
✵✳✷✼✻
✵✳✷✻✷
✵✳✷✺✶
✵✳✷✹✵
✵✳✷✸✾
✵✳✷✷✵
✵✳✷✷✵
✵✳✶✽✾
✵✳✶✽✻
✵✳✶✽✻
✵✳✶✻✸
✵✳✶✻✷
✵✳✶✺✺
✵✳✶✹✽
✵✳✶✹✶
✵✳✶✸✷
✵✳✶✷✽
✵✳✶✷✷
✵✳✶✷✷
✵✳✶✷✶
✵✳✶✶✻
✵✳✶✶✸
✵✳✶✶✶
✵✳✶✵✾
✵✳✶✵✽
✵✳✶✵✻
✵✳✶✵✹
✵✳✶✵✹
✵✳✶✵✷
✵✳✶✵✶
✵✳✵✾✾
✵✳✵✽✷
✵✳✵✼✶
✵✳✵✼✶
✵✳✵✺✵
✵✳✵✸✾
✵✳✵✸✽
✵✳✵✷✽
✵✳✵✵✾
✵✳✵✵✻
✵✳✵✵✶
✵✳✵✵✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✹✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❜❡t✇❡❡♥ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ❛♥❞ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ t❤❡ P❈❆✲❛♥❛❧②s✐s ❢r♦♠ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢
r❡✢❡❝t❛♥❝❡ ✈❛❧✉❡s ♦❢ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡s ❛t ✶✷ ❞❛✐✱ ❛♥❞
t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✼✷✵ ♥♠❪
✵✳✾✼✽
✵✳✾✼✽
❬✼✶✼ ♥♠❪
✵✳✾✼✶
✵✳✾✼✶
❬✼✷✸ ♥♠❪
✵✳✾✺✼
✵✳✾✺✼
❬✹✺✶ ♥♠❪
✲✵✳✾✺✺
✵✳✾✺✺
❬✹✺✹ ♥♠❪
✲✵✳✾✺✹
✵✳✾✺✹
❬✹✺✼ ♥♠❪
✲✵✳✾✺✷
✵✳✾✺✷
❬✹✻✵ ♥♠❪
✲✵✳✾✹✾
✵✳✾✹✾
❬✺✽✽ ♥♠❪
✵✳✾✹✽
✵✳✾✹✽
❬✹✻✸ ♥♠❪
✲✵✳✾✹✻
✵✳✾✹✻
❬✼✶✹ ♥♠❪
✵✳✾✹✹
✵✳✾✹✹
❬✹✻✻ ♥♠❪
✲✵✳✾✹✶
✵✳✾✹✶
❬✺✷✸ ♥♠❪
✵✳✾✹✵
✵✳✾✹✵
❬✹✻✾ ♥♠❪
✲✵✳✾✸✺
✵✳✾✸✺
❬✺✽✺ ♥♠❪
✵✳✾✸✵
✵✳✾✸✵
❬✹✼✷ ♥♠❪
✲✵✳✾✷✼
✵✳✾✷✼
❬✺✷✻ ♥♠❪
✵✳✾✷✵
✵✳✾✷✵
❬✹✼✺ ♥♠❪
✲✵✳✾✶✼
✵✳✾✶✼
❬✼✾✽ ♥♠❪
✲✵✳✾✵✻
✵✳✾✵✻
❬✹✼✽ ♥♠❪
✲✵✳✾✵✹
✵✳✾✵✹
❬✼✾✺ ♥♠❪
✲✵✳✾✵✸
✵✳✾✵✸
✭✐t❛❧✐❝
❢♦♥t ✮✿
❬✼✶✶ ♥♠❪
❬✽✵✵ ♥♠❪
❬✼✷✻ ♥♠❪
❬✼✾✷ ♥♠❪
❬✻✸✵ ♥♠❪
❬✻✷✼ ♥♠❪
❬✹✽✶ ♥♠❪
❬✼✽✾ ♥♠❪
❬✻✹✽ ♥♠❪
❬✻✺✶ ♥♠❪
❬✼✽✻ ♥♠❪
❬✻✷✹ ♥♠❪
❬✻✸✸ ♥♠❪
❬✹✽✹ ♥♠❪
❬✽✵✸ ♥♠❪
❬✺✷✾ ♥♠❪
❬✻✹✺ ♥♠❪
❬✼✽✸ ♥♠❪
❬✻✺✹ ♥♠❪
❬✼✽✵ ♥♠❪
❬✻✷✶ ♥♠❪
❬✹✽✼ ♥♠❪
❬✼✵✽ ♥♠❪
❬✻✺✼ ♥♠❪
❬✼✼✼ ♥♠❪
❬✺✸✷ ♥♠❪
❬✺✽✷ ♥♠❪
❬✹✾✵ ♥♠❪
❬✽✵✻ ♥♠❪
❬✼✼✹ ♥♠❪
❬✻✶✽ ♥♠❪
❬✻✻✵ ♥♠❪
❬✺✾✶ ♥♠❪
❬✼✷✾ ♥♠❪
❬✼✼✶ ♥♠❪
❬✺✸✺ ♥♠❪
✵✳✽✾✾
✲✵✳✽✾✼
✵✳✽✾✻
✲✵✳✽✾✺
✵✳✽✾✷
✵✳✽✽✽
✲✵✳✽✽✽
✲✵✳✽✽✺
✲✵✳✽✽✵
✲✵✳✽✼✸
✲✵✳✽✼✷
✵✳✽✼✶
✵✳✽✼✶
✲✵✳✽✻✼
✲✵✳✽✻✼
✵✳✽✻✻
✲✵✳✽✻✹
✲✵✳✽✺✾
✲✵✳✽✺✻
✲✵✳✽✹✸
✵✳✽✹✸
✲✵✳✽✹✶
✵✳✽✹✶
✲✵✳✽✸✶
✲✵✳✽✷✺
✵✳✽✶✼
✵✳✽✶✻
✲✵✳✽✵✾
✲✵✳✽✵✽
✲✵✳✽✵✹
✵✳✽✵✸
✲✵✳✼✾✾
✵✳✼✾✺
✵✳✼✽✷
✲✵✳✼✽✵
✵✳✼✼✻
✵✳✽✾✾
✵✳✽✾✼
✵✳✽✾✻
✵✳✽✾✺
✵✳✽✾✷
✵✳✽✽✽
✵✳✽✽✽
✵✳✽✽✺
✵✳✽✽✵
✵✳✽✼✸
✵✳✽✼✷
✵✳✽✼✶
✵✳✽✼✶
✵✳✽✻✼
✵✳✽✻✼
✵✳✽✻✻
✵✳✽✻✹
✵✳✽✺✾
✵✳✽✺✻
✵✳✽✹✸
✵✳✽✹✸
✵✳✽✹✶
✵✳✽✹✶
✵✳✽✸✶
✵✳✽✷✺
✵✳✽✶✼
✵✳✽✶✻
✵✳✽✵✾
✵✳✽✵✽
✵✳✽✵✹
✵✳✽✵✸
✵✳✼✾✾
✵✳✼✾✺
✵✳✼✽✷
✵✳✼✽✵
✵✳✼✼✻
❇❛♥❞ r ❬P❈✶❪
❬✹✾✸ ♥♠❪ ✲✵✳✼✻✾
❬✺✷✵ ♥♠❪
✵✳✼✻✾
❬✼✵✺ ♥♠❪
✵✳✼✻✻
❬✻✻✸ ♥♠❪ ✲✵✳✼✺✾
❬✻✸✻ ♥♠❪
✵✳✼✺✺
❬✻✶✺ ♥♠❪
✵✳✼✺✷
❬✼✻✽ ♥♠❪ ✲✵✳✼✺✶
❬✻✹✷ ♥♠❪ ✲✵✳✼✺✵
❬✺✸✽ ♥♠❪
✵✳✼✹✷
❬✺✼✾ ♥♠❪
✵✳✼✷✶
❬✹✾✻ ♥♠❪ ✲✵✳✼✷✶
❬✽✵✾ ♥♠❪ ✲✵✳✼✷✶
❬✼✻✺ ♥♠❪ ✲✵✳✼✶✽
❬✺✹✶ ♥♠❪
✵✳✼✶✸
❬✻✻✻ ♥♠❪ ✲✵✳✼✶✷
❬✻✶✷ ♥♠❪
✵✳✻✾✸
❬✺✹✹ ♥♠❪
✵✳✻✽✾
❬✼✻✷ ♥♠❪ ✲✵✳✻✼✽
❬✼✵✷ ♥♠❪
✵✳✻✼✸
❬✹✾✾ ♥♠❪ ✲✵✳✻✼✵
❬✺✹✼ ♥♠❪
✵✳✻✻✽
❬✺✼✼ ♥♠❪
✵✳✻✻✶
❬✻✻✾ ♥♠❪ ✲✵✳✻✺✻
❬✺✺✵ ♥♠❪
✵✳✻✺✵
❬✽✻✵ ♥♠❪
✵✳✻✹✶
❬✽✻✸ ♥♠❪
✵✳✻✹✵
❬✽✾✸ ♥♠❪
✵✳✻✹✵
❬✽✻✻ ♥♠❪
✵✳✻✸✾
❬✽✾✵ ♥♠❪
✵✳✻✸✽
❬✽✾✻ ♥♠❪
✵✳✻✸✽
❬✽✻✾ ♥♠❪
✵✳✻✸✽
❬✽✺✼ ♥♠❪
✵✳✻✸✽
❬✽✼✷ ♥♠❪
✵✳✻✸✻
❬✽✽✼ ♥♠❪
✵✳✻✸✺
❬✺✾✹ ♥♠❪
✵✳✻✸✺
❬✺✺✸ ♥♠❪
✵✳✻✸✺
❬✽✼✺ ♥♠❪
✵✳✻✸✹
❬✽✽✹ ♥♠❪
✵✳✻✸✸
❬✽✼✽ ♥♠❪
✵✳✻✸✸
❬✽✽✶ ♥♠❪
✵✳✻✸✸
❬✼✺✾ ♥♠❪ ✲✵✳✻✸✶
❬✻✵✾ ♥♠❪
✵✳✻✸✵
❬✽✾✾ ♥♠❪
✵✳✻✷✼
❬✺✼✹ ♥♠❪
✵✳✻✷✺
❬✺✺✻ ♥♠❪
✵✳✻✷✶
❬✽✶✷ ♥♠❪ ✲✵✳✻✶✾
❬✽✺✹ ♥♠❪
✵✳✻✶✽
❬✼✸✷ ♥♠❪
✵✳✻✶✷
❬✺✵✷ ♥♠❪ ✲✵✳✻✶✶
❬✺✺✾ ♥♠❪
✵✳✻✶✵
❬✺✼✶ ♥♠❪
✵✳✻✵✻
❬✺✻✷ ♥♠❪
✵✳✻✵✷
❬✺✻✽ ♥♠❪
✵✳✺✾✽
❬✺✻✺ ♥♠❪
✵✳✺✾✽
❬✾✵✷ ♥♠❪
✵✳✺✾✷
❬✻✼✷ ♥♠❪ ✲✵✳✺✽✽
⑤r⑤
✵✳✼✻✾
✵✳✼✻✾
✵✳✼✻✻
✵✳✼✺✾
✵✳✼✺✺
✵✳✼✺✷
✵✳✼✺✶
✵✳✼✺✵
✵✳✼✹✷
✵✳✼✷✶
✵✳✼✷✶
✵✳✼✷✶
✵✳✼✶✽
✵✳✼✶✸
✵✳✼✶✷
✵✳✻✾✸
✵✳✻✽✾
✵✳✻✼✽
✵✳✻✼✸
✵✳✻✼✵
✵✳✻✻✽
✵✳✻✻✶
✵✳✻✺✻
✵✳✻✺✵
✵✳✻✹✶
✵✳✻✹✵
✵✳✻✹✵
✵✳✻✸✾
✵✳✻✸✽
✵✳✻✸✽
✵✳✻✸✽
✵✳✻✸✽
✵✳✻✸✻
✵✳✻✸✺
✵✳✻✸✺
✵✳✻✸✺
✵✳✻✸✹
✵✳✻✸✸
✵✳✻✸✸
✵✳✻✸✸
✵✳✻✸✶
✵✳✻✸✵
✵✳✻✷✼
✵✳✻✷✺
✵✳✻✷✶
✵✳✻✶✾
✵✳✻✶✽
✵✳✻✶✷
✵✳✻✶✶
✵✳✻✶✵
✵✳✻✵✻
✵✳✻✵✷
✵✳✺✾✽
✵✳✺✾✽
✵✳✺✾✷
✵✳✺✽✽
❇❛♥❞ r ❬P❈✶❪
❬✼✺✻ ♥♠❪ ✲✵✳✺✼✹
❬✻✵✻ ♥♠❪
✵✳✺✼✸
❬✽✺✶ ♥♠❪
✵✳✺✼✵
❬✻✾✾ ♥♠❪
✵✳✺✻✵
❬✺✾✼ ♥♠❪
✵✳✺✹✻
❬✺✵✺ ♥♠❪ ✲✵✳✺✹✵
❬✻✵✸ ♥♠❪
✵✳✺✸✶
❬✽✶✺ ♥♠❪ ✲✵✳✺✷✵
❬✻✵✵ ♥♠❪
✵✳✺✶✽
❬✾✵✺ ♥♠❪
✵✳✺✶✼
❬✻✼✺ ♥♠❪ ✲✵✳✺✵✼
❬✼✺✸ ♥♠❪ ✲✵✳✺✵✺
❬✽✹✽ ♥♠❪
✵✳✹✾✺
❬✺✵✽ ♥♠❪ ✲✵✳✹✹✻
❬✽✶✽ ♥♠❪ ✲✵✳✹✸✾
❬✻✾✻ ♥♠❪
✵✳✹✷✾
❬✼✺✵ ♥♠❪ ✲✵✳✹✶✾
❬✻✼✽ ♥♠❪ ✲✵✳✹✶✶
❬✼✸✺ ♥♠❪
✵✳✹✵✷
❬✾✵✽ ♥♠❪
✵✳✸✾✷
❬✽✷✶ ♥♠❪ ✲✵✳✸✼✼
❬✽✹✺ ♥♠❪
✵✳✸✼✷
❬✽✷✹ ♥♠❪ ✲✵✳✸✷✻
❬✼✹✼ ♥♠❪ ✲✵✳✸✶✷
❬✺✶✶ ♥♠❪ ✲✵✳✸✶✵
❬✺✶✼ ♥♠❪
✵✳✸✵✽
❬✻✽✶ ♥♠❪ ✲✵✳✷✾✼
❬✻✾✸ ♥♠❪
✵✳✷✽✸
❬✾✺✵ ♥♠❪ ✲✵✳✷✼✾
❬✽✷✼ ♥♠❪ ✲✵✳✷✼✻
❬✾✹✼ ♥♠❪ ✲✵✳✷✼✵
❬✾✹✹ ♥♠❪ ✲✵✳✷✺✾
❬✾✶✶ ♥♠❪
✵✳✷✺✹
❬✾✹✶ ♥♠❪ ✲✵✳✷✹✻
❬✾✸✽ ♥♠❪ ✲✵✳✷✸✷
❬✽✸✵ ♥♠❪ ✲✵✳✷✷✸
❬✽✹✷ ♥♠❪
✵✳✷✶✾
❬✾✸✺ ♥♠❪ ✲✵✳✷✶✹
❬✾✸✷ ♥♠❪ ✲✵✳✶✾✸
❬✼✸✽ ♥♠❪
✵✳✶✽✺
❬✼✹✹ ♥♠❪ ✲✵✳✶✼✾
❬✻✽✹ ♥♠❪ ✲✵✳✶✻✽
❬✾✷✾ ♥♠❪ ✲✵✳✶✻✼
❬✽✸✸ ♥♠❪ ✲✵✳✶✺✶
❬✾✷✻ ♥♠❪ ✲✵✳✶✸✹
❬✾✶✹ ♥♠❪
✵✳✶✸✷
❬✻✾✵ ♥♠❪
✵✳✶✷✾
❬✾✷✸ ♥♠❪ ✲✵✳✵✾✷
❬✺✶✹ ♥♠❪ ✲✵✳✵✽✹
❬✽✸✾ ♥♠❪
✵✳✵✼✵
❬✽✸✻ ♥♠❪ ✲✵✳✵✺✺
❬✾✷✵ ♥♠❪ ✲✵✳✵✸✼
❬✾✶✼ ♥♠❪
✵✳✵✸✻
❬✻✽✼ ♥♠❪ ✲✵✳✵✷✹
❬✻✸✾ ♥♠❪
✵✳✵✶✾
❬✼✹✶ ♥♠❪ ✲✵✳✵✶✸
❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✽✶
⑤r⑤
✵✳✺✼✹
✵✳✺✼✸
✵✳✺✼✵
✵✳✺✻✵
✵✳✺✹✻
✵✳✺✹✵
✵✳✺✸✶
✵✳✺✷✵
✵✳✺✶✽
✵✳✺✶✼
✵✳✺✵✼
✵✳✺✵✺
✵✳✹✾✺
✵✳✹✹✻
✵✳✹✸✾
✵✳✹✷✾
✵✳✹✶✾
✵✳✹✶✶
✵✳✹✵✷
✵✳✸✾✷
✵✳✸✼✼
✵✳✸✼✷
✵✳✸✷✻
✵✳✸✶✷
✵✳✸✶✵
✵✳✸✵✽
✵✳✷✾✼
✵✳✷✽✸
✵✳✷✼✾
✵✳✷✼✻
✵✳✷✼✵
✵✳✷✺✾
✵✳✷✺✹
✵✳✷✹✻
✵✳✷✸✷
✵✳✷✷✸
✵✳✷✶✾
✵✳✷✶✹
✵✳✶✾✸
✵✳✶✽✺
✵✳✶✼✾
✵✳✶✻✽
✵✳✶✻✼
✵✳✶✺✶
✵✳✶✸✹
✵✳✶✸✷
✵✳✶✷✾
✵✳✵✾✷
✵✳✵✽✹
✵✳✵✼✵
✵✳✵✺✺
✵✳✵✸✼
✵✳✵✸✻
✵✳✵✷✹
✵✳✵✶✾
✵✳✵✶✸
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✺✿ ◆♦r♠❛❧✐t② t❡st ♦❢ t❤❡ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s✳
✶st ❞❡r✐✈❛t✐✈❡
✷♥❞ ❞❡r✐✈❛t✐✈❡
❇❛♥❞
❇❛♥❞
♣✲✈❛❧✉❡
❬✼✽✻ ♥♠❪ ✺✳✵✺✵❊✲✶✽
❬✼✽✾ ♥♠❪ ✽✳✸✽✵❊✲✶✻
❬✼✾✷ ♥♠❪ ✸✳✽✶✵❊✲✶✹
❬✼✾✺ ♥♠❪ ✻✳✵✶✵❊✲✶✸
❬✼✾✽ ♥♠❪ ✻✳✸✵✵❊✲✶✷
❬✽✵✵ ♥♠❪ ✼✳✶✼✵❊✲✶✶
❬✽✵✸ ♥♠❪ ✶✳✷✸✵❊✲✵✾
❬✽✵✻ ♥♠❪ ✷✳✻✼✵❊✲✵✽
❙✐❣♥✐✜❝❛♥t ❧❡✈❡❧ ✭✵✳✵✺✮✳
❬✺✽✽ ♥♠❪
❬✼✶✹ ♥♠❪
❬✼✶✼ ♥♠❪
❬✼✾✺ ♥♠❪
♣✲✈❛❧✉❡
✻✳✽✸✵❊✲✶✼
✸✳✵✹✵❊✲✵✺
✺✳✶✽✵❊✲✵✺
✷✳✶✽✶❊✲✵✷
❚❛❜❧❡ ✽✳✶✻✿ ❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ❜❡t✇❡❡♥ t❤❡ ✜rst✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s ❜② t❤❡
P❡❛rs♦♥ ❛♥❞ ❑❡♥❞❛❧❧ ♠❡t❤♦❞✳
▼❡t❤♦❞✿ P❡❛rs♦♥
❬✼✽✻ ♥♠❪ ❬✼✽✾ ♥♠❪ ❬✼✾✷ ♥♠❪ ❬✼✾✺ ♥♠❪ ❬✼✾✽ ♥♠❪ ❬✽✵✵ ♥♠❪ ❬✽✵✸ ♥♠❪ ❬✽✵✻ ♥♠❪
❬✼✽✻ ♥♠❪
✵✳✾✽✾
✵✳✾✼
✵✳✾✹✾
✵✳✾✷✹
✵✳✽✾✺
✵✳✽✺✾
✵✳✽✶✽
❬✼✽✾ ♥♠❪
✵✳✾✾✺
✵✳✾✽✸
✵✳✾✻✻
✵✳✾✹✷
✵✳✾✶
✵✳✽✼✶
❬✼✾✷ ♥♠❪
✵✳✾✾✻
✵✳✾✽✻
✵✳✾✻✼
✵✳✾✹✶
✵✳✾✵✼
❬✼✾✺ ♥♠❪
✵✳✾✾✻
✵✳✾✽✺
✵✳✾✻✹
✵✳✾✸✻
❬✼✾✽ ♥♠❪
✵✳✾✾✻
✵✳✾✽✸
✵✳✾✻✷
❬✽✵✵ ♥♠❪
✵✳✾✾✻
✵✳✾✽✷
❬✽✵✸ ♥♠❪
✵✳✾✾✻
r
♣✲✈❛❧✉❡
❬✼✽✻ ♥♠❪
❬✼✽✾ ♥♠❪
❬✼✾✷ ♥♠❪
❬✼✾✺ ♥♠❪
❬✼✾✽ ♥♠❪
❬✽✵✵ ♥♠❪
❬✽✵✸ ♥♠❪
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
▼❡t❤♦❞✿ ❑❡♥❞❛❧❧
❬✼✽✻ ♥♠❪ ❬✼✽✾ ♥♠❪ ❬✼✾✷ ♥♠❪ ❬✼✾✺ ♥♠❪ ❬✼✾✽ ♥♠❪ ❬✽✵✵ ♥♠❪ ❬✽✵✸ ♥♠❪ ❬✽✵✻ ♥♠❪
❬✼✽✻ ♥♠❪
✵✳✽✼✼
✵✳✽✶✻
✵✳✼✼✸
✵✳✼✸✾
✵✳✼✵✸
✵✳✻✻✺
✵✳✻✷✽
❬✼✽✾ ♥♠❪
✵✳✾✸✻
✵✳✽✽✽
✵✳✽✹✺
✵✳✼✾✽
✵✳✼✹✾
✵✳✼
❬✼✾✷ ♥♠❪
✵✳✾✹✾
✵✳✾
✵✳✽✹✽
✵✳✼✾✸
✵✳✼✹
❬✼✾✺ ♥♠❪
✵✳✾✺
✵✳✽✾✺
✵✳✽✸✽
✵✳✼✽✸
❬✼✾✽ ♥♠❪
✵✳✾✹✹
✵✳✽✽✼
✵✳✽✸✶
❬✽✵✵ ♥♠❪
✵✳✾✹✷
✵✳✽✽✻
❬✽✵✸ ♥♠❪
✵✳✾✹✹
t❛✉
♣✲✈❛❧✉❡
❬✼✽✻ ♥♠❪
❬✼✽✾ ♥♠❪
❬✼✾✷ ♥♠❪
❬✼✾✺ ♥♠❪
❬✼✾✽ ♥♠❪
❬✽✵✵ ♥♠❪
❬✽✵✸ ♥♠❪
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮✿ ♣✲✈❛❧✉❡ ❁ 2.2 × 10−16 ❀ s✐❣♥✐✜❝❛♥t ❧❡✈❡❧ ✭✵✳✵✺✮✳
✽✷
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✼✿ ❈♦rr❡❧❛t✐♦♥ ❛♥❛❧②s✐s ❜❡t✇❡❡♥ t❤❡ s❡❝♦♥❞✲❞❡r✐✈❛t✐✈❡ s❡❧❡❝t❡❞ ❜❛♥❞s ❜②
t❤❡ P❡❛rs♦♥ ❛♥❞ ❑❡♥❞❛❧❧ ♠❡t❤♦❞✳
▼❡t❤♦❞✿ P❡❛rs♦♥
❬✺✽✽ ♥♠❪ ❬✼✶✹ ♥♠❪ ❬✼✶✼ ♥♠❪ ❬✼✾✺ ♥♠❪
❬✺✽✽ ♥♠❪
✵✳✾✶✸
✵✳✾✵✸
✲✵✳✽✸✸
❬✼✶✹ ♥♠❪
✵✳✾✽✹
✲✵✳✾✺✼
❬✼✶✼ ♥♠❪
✲✵✳✾✹✷
r
♣✲✈❛❧✉❡
❬✺✽✽ ♥♠❪
❬✼✶✹ ♥♠❪
❬✼✶✼ ♥♠❪
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
✭✯✮
▼❡t❤♦❞✿ ❑❡♥❞❛❧❧
t❛✉
❬✺✽✽ ♥♠❪
❬✼✶✹ ♥♠❪
❬✼✶✼ ♥♠❪
❬✺✽✽ ♥♠❪ ❬✼✶✹ ♥♠❪ ❬✼✶✼ ♥♠❪ ❬✼✾✺ ♥♠❪
✵✳✼✼✼
✵✳✼✽✵
✲✵✳✻✾✾
✵✳✾✵✸
✲✵✳✽✸✵
✲✵✳✼✾✺
♣✲✈❛❧✉❡
❬✺✽✽ ♥♠❪
✭✯✮
✭✯✮
✭✯✮
❬✼✶✹ ♥♠❪
✭✯✮
✭✯✮
❬✼✶✼ ♥♠❪
✭✯✮
✭✯✮✿ ♣✲✈❛❧✉❡ ❁ 2.2 × 10−16 ❀ s✐❣♥✐✜❝❛♥t ❧❡✈❡❧ ✭✵✳✵✺✮✳
✽✸
✽✹
12 dai
3 dai
14 dai
5 dai
17 dai
7 dai
❋✐❣✉r❡ ✽✳✺✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t ❞❛t❡s✳ ❘●❇ ✐♠❛❣❡✳
10 dai
1 dbi
Low inoculated sample
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✻✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t
❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✽✻✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✼✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t
❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✽✾✲♥♠✲❜❛♥❞✳
✽✺
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✽✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t
❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✷✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✾✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡♠❡♥t
❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✺✲♥♠✲❜❛♥❞✳
✽✻
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✶✵✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✽✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✶✶✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✵✲♥♠✲❜❛♥❞✳
✽✼
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✶✷✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✸✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✶✸✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ ✜rst ❞❡r✐✈❛t✐✈❡ ♦❢ ✽✵✻✲♥♠✲❜❛♥❞✳
✽✽
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✶✹✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✺✽✽✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✶✺✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✶✹✲♥♠✲❜❛♥❞✳
✽✾
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✶✻✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✶✼✲♥♠✲❜❛♥❞✳
❋✐❣✉r❡ ✽✳✶✼✿ ❉❡✈❡❧♦♣♠❡♥t ♦❢ ❛ ❧♦✇ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❛t t❤❡ ❞✐✛❡r❡♥t ♠❡❛s✉r❡✲
♠❡♥t ❞❛t❡s ❢r♦♠ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ♦❢ ✼✾✺✲♥♠✲❜❛♥❞✳
✾✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of complete variable model
Linear model / All bands
100
29
50
32
34
34
36
36
37
37
.
8
18
20
24
Percent (%)
25
20
18
20
0
.
.
Accuracy distribution
29
75
24
2
60
Error distribution
32
40
22
22
20
0
16
34
28
24
.
6
22
.
.
2
.
4
2.
.
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✶✽✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡ ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐✲
③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✶
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of complete variable model
Radial model / All bands
100
29
29
34
34
37
20
50
32
28
30
32
32
36
36
37
6
2
4
28
26
2
4
6.
4.
.
34
26
22
28
32
.
4
Accuracy distribution
75
Percent (%)
25
0
40
30
Error distribution
24
20
30
26
10
0
8.
8
4
4.
2
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✶✾✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡ ❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐✲
③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✷
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of complete variable model
Radial model / All bands
100
29
29
50
34
34
32
32
34
34
34
36
36
36
37
37
2
4
8
28
26
26
Accuracy distribution
75
Percent (%)
25
0
36
36
.
.
30
6
30
Error distribution
24
20
28
30
10
0
22
.
.
8
6
2.
2
2.
4
.
.
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✵✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✶st✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡
❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✸
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of complete variable model
Linear model / All bands
100
22
18
22
50
30
30
29
29
20
28
32
34
34
28
34
36
36
37
37
6.
2
8.
6
2.
.
22
Accuracy distribution
75
Percent (%)
25
0
32
30
.
.
24
30
Error distribution
20
22
16
10
0
4
4
6
8.
2
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✶✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✷♥❞✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡
❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✹
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of complete variable model
Radial model / All bands
100
29
29
50
34
34
34
34
34
34
34
34
36
36
36
36
36
36
37
37
.
.
.
.
.
.
30
30
30
30
30
30
.
.
.
.
Accuracy distribution
75
Percent (%)
25
0
30
Error distribution
20
10
0
.
2
4
.
.
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✷✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ t❤❡
✷♥❞✲❞❡r✐✈❛t✐✈❡ ♦❢ r❡✢❡❝t❛♥❝❡✲✈❛❧✉❡s ♦❢ ❛❧❧ ❜❛♥❞s ❛s ✈❛r✐❛❜❧❡s✱ ❢♦r t❤❡
❞❡t❡❝t✐♦♥ ♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵
✾✺
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of reduced−variable model
Radial model / Band 714
100
29
29
34
34
36
37
37
4.
8
.
26
22
50
26
Percent (%)
25
0
22
22
20
18
18
8.
8
8
26
26
18
18
8
8
18
.
20
26
Accuracy distribution
75
60
16
24
26
Error distribution
40
20
22
0
16
.
2
8.
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✸✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✹✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❢♦r t❤❡ ♣r❡❞✐❝t✐♦♥
♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✻
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of reduced−variable model
Linear model / Band 717
100
29
28
50
30
30
30
Percent (%)
24
26
36
37
2.
9.
34
30
25
0
29
30
.
2.
34
34
37
24
16
.
8.
Accuracy distribution
75
.
60
Error distribution
34
40
34
20
20
34
34
28
20
0
.
.
.
.
2
.
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✹✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ ❧✐♥❡❛r ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✼✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❢♦r t❤❡ ♣r❡❞✐❝t✐♦♥
♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✼
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
SVM−performance of reduced−variable model
Radial model / Band 717
100
29
29
34
34
36
37
37
2.
8
.
28
20
50
24
26
20
18
22
Accuracy distribution
75
Percent (%)
25
0
20
22
24
20
.
.
.
.
26
16
40
20
24
20
16
0
Error distribution
24
20
.
16
.
.
6.
2
.
4
6
.
8
Measurement date
Treatment
1. Control
2. Low Inoculated
3. High Inoculated
❋✐❣✉r❡ ✽✳✷✺✿ P❡r❢♦r♠❛♥❝❡ ♦❢ t❤❡ r❛❞✐❛❧ ❦❡r♥❡❧ ❙❱▼✲♠♦❞❡❧ ❝❛❧❝✉❧❛t❡❞ ❢r♦♠ ❜❛♥❞s
r❡❧❛t❡❞ t♦ ✺✽✽✱ ✼✶✼✱ ✼✾✺ ♥♠ ♦❢ t❤❡ s❡❝♦♥❞ ❞❡r✐✈❛t✐✈❡ ❢♦r t❤❡ ♣r❡❞✐❝t✐♦♥
♦❢ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t✳ ◆✉♠❜❡r ♦❢ ❝❧❛ss✐✜❡❞ s❛♠♣❧❡s❂ ✺✵✳
✾✽
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❋✐❣✉r❡ ✽✳✷✻✿ ■♥❞❡①✲✐♠❛❣❡ ❢♦r t❤❡ ❜❡❡t s❡❣♠❡♥t❛t✐♦♥ ✭❇s✐✮ ♦❢ ❛ ❝♦♥tr♦❧ s❛♠♣❧❡✳
✾✾
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Manual pixel selection of surface tissue
Manual pixel
classification
Inoculated
Control
RGB Image
Pixel:
Healthy t.
Damaged t.
❋✐❣✉r❡ ✽✳✷✼✿ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ s✉r❢❛❝❡
t✐ss✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳
✶✵✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Healthy− and damaged−pixels in PC−coordinate system (surface)
2.5
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PC2 (2.4% explained var.)
●
0.0
−2.5
●
●●
●
●
−5.0
−4
−2
0
2
PC1 (97.3% explained var.)
Pixel
●
Group
●
Damaged
●
Healthy
❋✐❣✉r❡ ✽✳✷✽✿ ❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♠❛♥✉❛❧ s❡❧❡❝t❡❞ ♣✐①❡❧s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡ ❜❡t✇❡❡♥ ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲s✉r❢❛❝❡✲t✐ss✉❡✳
✶✵✶
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✽✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ P❈❆✲❛♥❛❧②s✐s ❢♦r ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲
♣✐①❡❧s ❛s ♦❜s❡r✈❛t✐♦♥s ♦♥ t❤❡ s✉r❢❛❝❡ t✐ss✉❡✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜✲
s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
❬✼✶✶ ♥♠❪
✵✳✾✾✾
❬✼✶✹ ♥♠❪
❬✼✵✽ ♥♠❪
❬✼✶✼ ♥♠❪
❬✼✵✺ ♥♠❪
❬✼✷✵ ♥♠❪
❬✼✵✷ ♥♠❪
❬✼✷✸ ♥♠❪
❬✻✷✹ ♥♠❪
❬✻✷✶ ♥♠❪
❬✻✷✼ ♥♠❪
❬✻✶✽ ♥♠❪
❬✻✶✺ ♥♠❪
❬✻✾✾ ♥♠❪
❬✻✸✵ ♥♠❪
❬✻✶✷ ♥♠❪
❬✻✸✸ ♥♠❪
❬✻✵✾ ♥♠❪
❬✻✵✻ ♥♠❪
❬✻✸✻ ♥♠❪
❬✻✵✸ ♥♠❪
❬✼✷✻ ♥♠❪
❬✻✸✾ ♥♠❪
❬✻✵✵ ♥♠❪
❬✺✾✼ ♥♠❪
❬✻✹✷ ♥♠❪
❬✺✾✹ ♥♠❪
❬✺✾✶ ♥♠❪
❬✻✾✻ ♥♠❪
❬✺✽✽ ♥♠❪
❬✻✹✺ ♥♠❪
❬✼✷✾ ♥♠❪
❬✺✽✺ ♥♠❪
❬✺✽✷ ♥♠❪
❬✻✹✽ ♥♠❪
❬✼✸✷ ♥♠❪
❬✺✼✾ ♥♠❪
❬✻✾✸ ♥♠❪
❬✺✼✼ ♥♠❪
❬✻✺✶ ♥♠❪
❬✼✸✺ ♥♠❪
❬✺✼✹ ♥♠❪
❬✼✸✽ ♥♠❪
❬✺✼✶ ♥♠❪
❬✻✺✹ ♥♠❪
❬✺✻✽ ♥♠❪
❬✼✹✶ ♥♠❪
❬✻✾✵ ♥♠❪
❬✼✹✹ ♥♠❪
❬✺✻✺ ♥♠❪
❬✼✹✼ ♥♠❪
❬✺✻✷ ♥♠❪
❬✼✺✵ ♥♠❪
❬✻✺✼ ♥♠❪
❬✼✺✸ ♥♠❪
❬✺✺✾ ♥♠❪
✭✐t❛❧✐❝
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✼
✵✳✾✾✼
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
❢♦♥t
|r|
✵✳✾✾✾
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✼
✵✳✾✾✼
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
❇❛♥❞ r ❬P❈✶❪
❬✼✺✻ ♥♠❪
✵✳✾✽✾
❬✻✽✼ ♥♠❪
✵✳✾✽✾
❬✺✺✻ ♥♠❪
✵✳✾✽✾
❬✼✺✾ ♥♠❪
✵✳✾✽✾
❬✼✻✷ ♥♠❪
✵✳✾✽✾
❬✼✻✺ ♥♠❪
✵✳✾✽✽
❬✺✺✸ ♥♠❪
✵✳✾✽✽
❬✼✻✽ ♥♠❪
✵✳✾✽✽
❬✻✻✵ ♥♠❪
✵✳✾✽✽
❬✼✼✶ ♥♠❪
✵✳✾✽✽
❬✼✼✹ ♥♠❪
✵✳✾✽✽
❬✺✺✵ ♥♠❪
✵✳✾✽✽
❬✼✼✼ ♥♠❪
✵✳✾✽✽
❬✼✽✵ ♥♠❪
✵✳✾✽✽
❬✼✽✸ ♥♠❪
✵✳✾✽✽
❬✼✽✻ ♥♠❪
✵✳✾✽✼
❬✺✹✼ ♥♠❪
✵✳✾✽✼
❬✼✽✾ ♥♠❪
✵✳✾✽✼
❬✻✽✹ ♥♠❪
✵✳✾✽✼
❬✼✾✷ ♥♠❪
✵✳✾✽✼
❬✼✾✺ ♥♠❪
✵✳✾✽✼
❬✼✾✽ ♥♠❪
✵✳✾✽✼
❬✺✹✹ ♥♠❪
✵✳✾✽✼
❬✽✵✵ ♥♠❪
✵✳✾✽✼
❬✻✻✸ ♥♠❪
✵✳✾✽✼
❬✽✵✸ ♥♠❪
✵✳✾✽✼
❬✽✵✻ ♥♠❪
✵✳✾✽✼
❬✽✵✾ ♥♠❪
✵✳✾✽✼
❬✽✶✷ ♥♠❪
✵✳✾✽✼
❬✺✹✶ ♥♠❪
✵✳✾✽✼
❬✽✶✺ ♥♠❪
✵✳✾✽✼
❬✽✶✽ ♥♠❪
✵✳✾✽✼
❬✽✷✶ ♥♠❪
✵✳✾✽✻
❬✽✷✹ ♥♠❪
✵✳✾✽✻
❬✽✷✼ ♥♠❪
✵✳✾✽✻
❬✽✸✵ ♥♠❪
✵✳✾✽✻
❬✻✽✶ ♥♠❪
✵✳✾✽✻
❬✽✸✸ ♥♠❪
✵✳✾✽✻
❬✺✸✽ ♥♠❪
✵✳✾✽✻
❬✽✸✻ ♥♠❪
✵✳✾✽✻
❬✽✸✾ ♥♠❪
✵✳✾✽✻
❬✻✻✻ ♥♠❪
✵✳✾✽✻
❬✽✹✷ ♥♠❪
✵✳✾✽✻
❬✽✹✺ ♥♠❪
✵✳✾✽✻
❬✽✹✽ ♥♠❪
✵✳✾✽✻
❬✺✸✺ ♥♠❪
✵✳✾✽✻
❬✽✺✶ ♥♠❪
✵✳✾✽✻
❬✽✺✹ ♥♠❪
✵✳✾✽✺
❬✻✼✽ ♥♠❪
✵✳✾✽✺
❬✽✺✼ ♥♠❪
✵✳✾✽✺
❬✻✻✾ ♥♠❪
✵✳✾✽✺
❬✽✻✵ ♥♠❪
✵✳✾✽✺
❬✽✻✸ ♥♠❪
✵✳✾✽✺
❬✺✸✷ ♥♠❪
✵✳✾✽✺
❬✽✻✻ ♥♠❪
✵✳✾✽✺
❬✻✼✺ ♥♠❪
✵✳✾✽✺
|r|
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
❇❛♥❞
❬✻✼✷ ♥♠❪
❬✽✻✾ ♥♠❪
❬✽✼✷ ♥♠❪
❬✽✼✺ ♥♠❪
❬✽✼✽ ♥♠❪
❬✺✷✾ ♥♠❪
❬✽✽✶ ♥♠❪
❬✽✽✹ ♥♠❪
❬✽✽✼ ♥♠❪
❬✽✾✵ ♥♠❪
❬✺✷✻ ♥♠❪
❬✽✾✸ ♥♠❪
❬✽✾✻ ♥♠❪
❬✽✾✾ ♥♠❪
❬✺✷✸ ♥♠❪
❬✾✵✷ ♥♠❪
❬✾✵✺ ♥♠❪
❬✾✵✽ ♥♠❪
❬✺✷✵ ♥♠❪
❬✾✶✶ ♥♠❪
❬✾✶✹ ♥♠❪
❬✾✶✼ ♥♠❪
❬✺✶✼ ♥♠❪
❬✾✷✵ ♥♠❪
❬✾✷✸ ♥♠❪
❬✺✶✹ ♥♠❪
❬✾✷✻ ♥♠❪
❬✾✷✾ ♥♠❪
❬✺✶✶ ♥♠❪
❬✾✸✷ ♥♠❪
❬✾✸✺ ♥♠❪
❬✺✵✽ ♥♠❪
❬✾✸✽ ♥♠❪
❬✾✹✶ ♥♠❪
❬✺✵✺ ♥♠❪
❬✾✹✹ ♥♠❪
❬✺✵✷ ♥♠❪
❬✾✹✼ ♥♠❪
❬✹✾✾ ♥♠❪
❬✾✺✵ ♥♠❪
❬✹✾✻ ♥♠❪
❬✹✾✸ ♥♠❪
❬✹✾✵ ♥♠❪
❬✹✽✼ ♥♠❪
❬✹✽✹ ♥♠❪
❬✹✽✶ ♥♠❪
❬✹✼✽ ♥♠❪
❬✹✼✺ ♥♠❪
❬✹✼✷ ♥♠❪
❬✹✻✾ ♥♠❪
❬✹✻✻ ♥♠❪
❬✹✻✸ ♥♠❪
❬✹✻✵ ♥♠❪
❬✹✺✼ ♥♠❪
❬✹✺✹ ♥♠❪
r ❬P❈✶❪
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✽
✵✳✾✼✽
✵✳✾✼✼
✵✳✾✼✼
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✺
✵✳✾✼✹
✵✳✾✼✸
✵✳✾✼✸
✵✳✾✼✷
✵✳✾✼✶
✵✳✾✼✵
✵✳✾✼✵
✵✳✾✻✾
✵✳✾✻✾
✵✳✾✻✽
✵✳✾✻✽
✵✳✾✻✽
✵✳✾✻✼
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✽
✵✳✾✼✽
✵✳✾✼✼
✵✳✾✼✼
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✺
✵✳✾✼✹
✵✳✾✼✸
✵✳✾✼✸
✵✳✾✼✷
✵✳✾✼✶
✵✳✾✼✵
✵✳✾✼✵
✵✳✾✻✾
✵✳✾✻✾
✵✳✾✻✽
✵✳✾✻✽
✵✳✾✻✽
✵✳✾✻✼
❬✹✺✶ ♥♠❪
✵✳✾✻✼
✵✳✾✻✼
✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✶✵✷
|r|
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Manual pixel selection of inner tissue
Manual pixel
classification
Inoculated
Control
RGB Image
Pixel:
Healthy t.
Damaged t.
❋✐❣✉r❡ ✽✳✷✾✿ ▼❛♥✉❛❧ s❡❧❡❝t✐♦♥ ♦❢ ❤❡❛❧t❤②✲ ❛♥❞ ❞❛♠❛❣❡❞✲♣✐①❡❧s ❢r♦♠ t❤❡ ✐♥♥❡r t✐s✲
s✉❡ ♦❢ ❛ ❝♦♥tr♦❧ ❛♥❞ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡✳
✶✵✸
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Healthy− and damaged−pixels in PC−coordinate system (inner t.)
2
●
PC2 (2.7% explained var.)
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−4
−2
0
2
4
6
PC1 (96.8% explained var.)
Pixel
●
Group
●
Damaged
●
Healthy
❋✐❣✉r❡ ✽✳✸✵✿ ❘❡♣r❡s❡♥t❛t✐♦♥ ♦❢ ♠❛♥✉❛❧ s❡❧❡❝t❡❞ ♣✐①❡❧s ✐♥ ❛ ✜rst✲ ❛♥❞ s❡❝♦♥❞✲
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t✲❝♦♦r❞✐♥❛t❡ s②st❡♠ ❢♦r ❛♣♣r❡❝✐❛t✐♦♥ ♦❢ ❣r♦✉♣s
❞✐st❛♥❝❡ ❜❡t✇❡❡♥ ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲✐♥♥❡r✲t✐ss✉❡
✶✵✹
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✶✾✿ ❈♦rr❡❧❛t✐♦♥ ❝♦❡✣❝✐❡♥ts ❢r♦♠ ❛❧❧ ❡✈❛❧✉❛t❡❞ ❜❛♥❞s ✇✐t❤ t❤❡ ✜rst
♣r✐♥❝✐♣❛❧✲❝♦♠♣♦♥❡♥t ♦❢ P❈❆✲❛♥❛❧②s✐s ❢♦r ❞❛♠❛❣❡❞✲ ❛♥❞ ❤❡❛❧t❤②✲
♣✐①❡❧s ❛s ♦❜s❡r✈❛t✐♦♥s ♦♥ t❤❡ ✐♥♥❡r t✐ss✉❡✱ ❛♥❞ t❤❡✐r r❡s♣❡❝t✐✈❡ ❛❜✲
s♦❧✉t❡ ✈❛❧✉❡s✳
❇❛♥❞
r ❬P❈✶❪
⑤r⑤
❬✼✶✶ ♥♠❪
✵✳✾✾✾
✵✳✾✾✾
❬✼✵✽ ♥♠❪
❬✼✶✹ ♥♠❪
❬✼✵✺ ♥♠❪
❬✼✶✼ ♥♠❪
❬✺✽✷ ♥♠❪
❬✺✽✺ ♥♠❪
❬✺✼✾ ♥♠❪
❬✺✽✽ ♥♠❪
❬✺✼✼ ♥♠❪
❬✺✾✶ ♥♠❪
❬✺✼✹ ♥♠❪
❬✺✾✹ ♥♠❪
❬✺✼✶ ♥♠❪
❬✺✾✼ ♥♠❪
❬✺✻✽ ♥♠❪
❬✻✵✵ ♥♠❪
❬✺✷✾ ♥♠❪
❬✺✻✺ ♥♠❪
❬✺✸✷ ♥♠❪
❬✺✷✻ ♥♠❪
❬✻✵✸ ♥♠❪
❬✺✻✷ ♥♠❪
❬✺✸✺ ♥♠❪
❬✻✵✻ ♥♠❪
❬✺✺✾ ♥♠❪
❬✺✸✽ ♥♠❪
❬✻✵✾ ♥♠❪
❬✺✷✸ ♥♠❪
❬✺✺✻ ♥♠❪
❬✺✹✶ ♥♠❪
❬✻✶✷ ♥♠❪
❬✼✷✵ ♥♠❪
❬✺✺✸ ♥♠❪
❬✺✹✹ ♥♠❪
❬✺✺✵ ♥♠❪
❬✺✹✼ ♥♠❪
❬✻✶✺ ♥♠❪
❬✻✶✽ ♥♠❪
❬✺✷✵ ♥♠❪
❬✻✷✶ ♥♠❪
❬✼✵✷ ♥♠❪
❬✻✷✹ ♥♠❪
❬✺✶✼ ♥♠❪
❬✻✷✼ ♥♠❪
❬✼✷✸ ♥♠❪
❬✻✸✵ ♥♠❪
❬✻✸✸ ♥♠❪
❬✺✶✹ ♥♠❪
❬✼✷✻ ♥♠❪
❬✻✸✻ ♥♠❪
❬✻✾✾ ♥♠❪
❬✺✶✶ ♥♠❪
❬✼✷✾ ♥♠❪
❬✻✸✾ ♥♠❪
❬✽✵✾ ♥♠❪
✭✐t❛❧✐❝
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✼
✵✳✾✾✼
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
❢♦♥t
✵✳✾✾✽
✵✳✾✾✽
✵✳✾✾✼
✵✳✾✾✼
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✻
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✺
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✹
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✸
✵✳✾✾✷
✵✳✾✾✷
✵✳✾✾✶
✵✳✾✾✶
✵✳✾✾✵
✵✳✾✾✵
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
❇❛♥❞ r ❬P❈✶❪
❬✽✵✻ ♥♠❪
✵✳✾✽✾
❬✽✶✷ ♥♠❪
✵✳✾✽✾
❬✽✶✺ ♥♠❪
✵✳✾✽✾
❬✽✵✸ ♥♠❪
✵✳✾✽✾
❬✽✶✽ ♥♠❪
✵✳✾✽✾
❬✽✵✵ ♥♠❪
✵✳✾✽✾
❬✽✷✶ ♥♠❪
✵✳✾✽✾
❬✽✷✹ ♥♠❪
✵✳✾✽✾
❬✼✾✽ ♥♠❪
✵✳✾✽✾
❬✽✷✼ ♥♠❪
✵✳✾✽✾
❬✼✾✺ ♥♠❪
✵✳✾✽✾
❬✽✸✵ ♥♠❪
✵✳✾✽✾
❬✼✾✷ ♥♠❪
✵✳✾✽✾
❬✽✸✸ ♥♠❪
✵✳✾✽✾
❬✼✽✾ ♥♠❪
✵✳✾✽✾
❬✽✸✻ ♥♠❪
✵✳✾✽✾
❬✼✽✻ ♥♠❪
✵✳✾✽✾
❬✽✸✾ ♥♠❪
✵✳✾✽✾
❬✼✽✸ ♥♠❪
✵✳✾✽✾
❬✽✹✷ ♥♠❪
✵✳✾✽✾
❬✼✽✵ ♥♠❪
✵✳✾✽✾
❬✽✹✺ ♥♠❪
✵✳✾✽✾
❬✼✼✼ ♥♠❪
✵✳✾✽✾
❬✼✼✹ ♥♠❪
✵✳✾✽✽
❬✽✹✽ ♥♠❪
✵✳✾✽✽
❬✼✼✶ ♥♠❪
✵✳✾✽✽
❬✽✺✶ ♥♠❪
✵✳✾✽✽
❬✼✸✷ ♥♠❪
✵✳✾✽✽
❬✼✻✽ ♥♠❪
✵✳✾✽✽
❬✼✻✺ ♥♠❪
✵✳✾✽✽
❬✽✺✹ ♥♠❪
✵✳✾✽✽
❬✼✻✷ ♥♠❪
✵✳✾✽✽
❬✼✺✾ ♥♠❪
✵✳✾✽✽
❬✼✺✻ ♥♠❪
✵✳✾✽✽
❬✽✺✼ ♥♠❪
✵✳✾✽✽
❬✼✺✸ ♥♠❪
✵✳✾✽✽
❬✼✺✵ ♥♠❪
✵✳✾✽✽
❬✼✹✼ ♥♠❪
✵✳✾✽✽
❬✼✹✹ ♥♠❪
✵✳✾✽✽
❬✽✻✵ ♥♠❪
✵✳✾✽✽
❬✼✹✶ ♥♠❪
✵✳✾✽✽
❬✼✸✺ ♥♠❪
✵✳✾✽✽
❬✽✻✸ ♥♠❪
✵✳✾✽✽
❬✼✸✽ ♥♠❪
✵✳✾✽✽
❬✽✻✻ ♥♠❪
✵✳✾✽✽
❬✺✵✽ ♥♠❪
✵✳✾✽✽
❬✽✻✾ ♥♠❪
✵✳✾✽✽
❬✽✼✷ ♥♠❪
✵✳✾✽✼
❬✻✹✷ ♥♠❪
✵✳✾✽✼
❬✽✼✺ ♥♠❪
✵✳✾✽✼
❬✽✼✽ ♥♠❪
✵✳✾✽✼
❬✽✽✶ ♥♠❪
✵✳✾✽✼
❬✽✽✹ ♥♠❪
✵✳✾✽✼
❬✽✽✼ ♥♠❪
✵✳✾✽✻
❬✽✾✵ ♥♠❪
✵✳✾✽✻
❬✽✾✸ ♥♠❪
✵✳✾✽✻
⑤r⑤
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✾
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✽
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✼
✵✳✾✽✻
✵✳✾✽✻
✵✳✾✽✻
❇❛♥❞
❬✻✾✻ ♥♠❪
❬✽✾✻ ♥♠❪
❬✺✵✺ ♥♠❪
❬✽✾✾ ♥♠❪
❬✻✹✺ ♥♠❪
❬✾✵✷ ♥♠❪
❬✾✵✺ ♥♠❪
❬✾✵✽ ♥♠❪
❬✾✶✶ ♥♠❪
❬✺✵✷ ♥♠❪
❬✾✶✹ ♥♠❪
❬✾✶✼ ♥♠❪
❬✻✹✽ ♥♠❪
❬✾✷✵ ♥♠❪
❬✻✾✸ ♥♠❪
❬✹✾✾ ♥♠❪
❬✾✷✸ ♥♠❪
❬✾✷✻ ♥♠❪
❬✹✾✻ ♥♠❪
❬✾✷✾ ♥♠❪
❬✻✺✶ ♥♠❪
❬✾✸✷ ♥♠❪
❬✻✾✵ ♥♠❪
❬✹✾✸ ♥♠❪
❬✾✸✺ ♥♠❪
❬✻✺✹ ♥♠❪
❬✹✾✵ ♥♠❪
❬✾✸✽ ♥♠❪
❬✻✽✼ ♥♠❪
❬✹✽✼ ♥♠❪
❬✹✺✶ ♥♠❪
❬✻✺✼ ♥♠❪
❬✾✹✶ ♥♠❪
❬✹✽✹ ♥♠❪
❬✹✺✹ ♥♠❪
❬✻✽✹ ♥♠❪
❬✹✽✶ ♥♠❪
❬✾✹✹ ♥♠❪
❬✻✻✵ ♥♠❪
❬✹✺✼ ♥♠❪
❬✹✼✽ ♥♠❪
❬✹✻✵ ♥♠❪
❬✻✽✶ ♥♠❪
❬✹✼✺ ♥♠❪
❬✹✻✸ ♥♠❪
❬✹✼✷ ♥♠❪
❬✻✻✸ ♥♠❪
❬✹✻✻ ♥♠❪
❬✹✻✾ ♥♠❪
❬✾✹✼ ♥♠❪
❬✻✼✽ ♥♠❪
❬✻✻✻ ♥♠❪
❬✻✼✺ ♥♠❪
❬✻✻✾ ♥♠❪
❬✻✼✷ ♥♠❪
r ❬P❈✶❪
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✽
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✹
✵✳✾✼✹
✵✳✾✼✸
✵✳✾✼✷
✵✳✾✼✶
✵✳✾✼✵
✵✳✾✻✾
✵✳✾✻✽
✵✳✾✻✼
✵✳✾✻✼
✵✳✾✻✺
✵✳✾✻✺
✵✳✾✻✹
✵✳✾✻✸
✵✳✾✻✷
✵✳✾✻✶
✵✳✾✻✶
✵✳✾✻✵
✵✳✾✻✵
✵✳✾✺✾
✵✳✾✺✽
✵✳✾✺✽
✵✳✾✺✼
✵✳✾✺✻
✵✳✾✺✻
✵✳✾✺✻
✵✳✾✺✺
✵✳✾✺✺
✵✳✾✺✺
✵✳✾✺✹
✵✳✾✺✸
✵✳✾✺✶
✵✳✾✺✶
✵✳✾✺✵
⑤r⑤
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✺
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✹
✵✳✾✽✸
✵✳✾✽✸
✵✳✾✽✷
✵✳✾✽✷
✵✳✾✽✶
✵✳✾✽✶
✵✳✾✽✵
✵✳✾✽✵
✵✳✾✼✾
✵✳✾✼✾
✵✳✾✼✽
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✻
✵✳✾✼✹
✵✳✾✼✹
✵✳✾✼✸
✵✳✾✼✷
✵✳✾✼✶
✵✳✾✼✵
✵✳✾✻✾
✵✳✾✻✽
✵✳✾✻✼
✵✳✾✻✼
✵✳✾✻✺
✵✳✾✻✺
✵✳✾✻✹
✵✳✾✻✸
✵✳✾✻✷
✵✳✾✻✶
✵✳✾✻✶
✵✳✾✻✵
✵✳✾✻✵
✵✳✾✺✾
✵✳✾✺✽
✵✳✾✺✽
✵✳✾✺✼
✵✳✾✺✻
✵✳✾✺✻
✵✳✾✺✻
✵✳✾✺✺
✵✳✾✺✺
✵✳✾✺✺
✵✳✾✺✹
✵✳✾✺✸
✵✳✾✺✶
✵✳✾✺✶
✵✳✾✺✵
❬✾✺✵ ♥♠❪
✵✳✾✹✽
✵✳✾✹✽
✮✿ ❙❡❧❡❝t❡❞ ❜❛♥❞s✳
✶✵✺
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
Hyperspectral RRCR classification
RGB Image
Surface t.
Rating
54.7 %
Inner t.
P. classification
35.3 %
Pixel:
Healthy t.
Damaged t.
❋✐❣✉r❡ ✽✳✸✶✿ ❍②♣❡rs♣❡❝tr❛❧ ♣✐①❡❧ ❝❧❛ss✐✜❝❛t✐♦♥ ♦❢ ❛♥ ✐♥♦❝✉❧❛t❡❞ s❛♠♣❧❡ ❢♦r s✉r❢❛❝❡
❛♥❞ ✐♥♥❡r t✐ss✉❡✱ ❛♥❞ t❤❡ r❡s♣❡❝t✐✈❡ ❘❘❈❘✲r❛t✐♥❣✳
✶✵✻
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✷✵✿ ❍②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ s✉r❢❛❝❡ t✐ss✉❡ ❢♦r t❤❡ ❜❡❡t ❡✈❛❧✉❛✲
t✐♦♥✳
❙❛♠♣❧❡ ❚r❡❛t♠❡♥t ❘❛t✐♥❣ ✭✪✮
✶
❈♦♥tr♦❧
✷✳✷
✷
❈♦♥tr♦❧
✸✳✶
✸
❈♦♥tr♦❧
✵✳✹
✹
❈♦♥tr♦❧
✵✳✾
✺
❈♦♥tr♦❧
✵✳✾
✻
❈♦♥tr♦❧
✶✳✹
✼
❈♦♥tr♦❧
✸✳✵
✽
❈♦♥tr♦❧
✷✳✻
✾
❈♦♥tr♦❧
✺✳✻
✶✵
❈♦♥tr♦❧
(∗)
✶✶
❈♦♥tr♦❧
✷✳✺
✶✷
❈♦♥tr♦❧
✸✳✷
✶✸
❈♦♥tr♦❧
✶✳✾
✶✹
❈♦♥tr♦❧
✹✳✻
✶✺
❈♦♥tr♦❧
✷✳✾
✶✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✹✺✳✹
✶✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✹✵✳✼
✶✽
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✹✽✳✸
✶✾
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✹✳✶
✷✵
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✺✵✳✹
✷✶
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✷✳✹
✷✷
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✵✳✷
✷✸
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✺✳✹
✷✹
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✼✺✳✻
✷✺
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✺✸✳✽
✷✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✹✼✳✻
✷✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✵✳✾
✷✽
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✼✷✳✽
✷✾
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✺✽✳✻
✸✵
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✺✾✳✸
✸✶
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✷✽✳✾
✸✷
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✸✳✷
✸✸
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✷✳✶
✸✹
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✶✻✳✸
✸✺
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✷✳✸
✸✻
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✼✶✳✻
✸✼
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✺✹✳✼
✸✽
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✽✳✷
✸✾
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✹✺✳✷
✹✵
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✺✸✳✾
✹✶
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✽✵✳✸
✹✷
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✼✶✳✻
✹✸
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✺✺✳✻
✹✹
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✼✸✳✹
✹✺
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✽✶✳✸
✹✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✸✳✽
✹✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✼✻✳✹
✹✽
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✹✺✳✶
✹✾
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✼✽✳✻
✺✵
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✼✾✳✹
❉❛♠❛❣❡❞ ❤②♣❡rs♣❡❝tr❛❧✲✐♠❛❣❡
(∗)✳
✶✵✼
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❚❛❜❧❡ ✽✳✷✶✿ ❍②♣❡rs♣❡❝tr❛❧ ❘❘❈❘✲r❛t✐♥❣ ♦❢ t❤❡ ✐♥♥❡r t✐ss✉❡ ❢♦r t❤❡ ❜❡❡t ❡✈❛❧✉❛✲
t✐♦♥✳
❙❛♠♣❧❡ ❚r❡❛t♠❡♥t ❘❛t✐♥❣ ✭✪✮
✶
❈♦♥tr♦❧
✻✳✹
✷
❈♦♥tr♦❧
✶✳✶
✸
❈♦♥tr♦❧
✵✳✺
✹
❈♦♥tr♦❧
✵✳✻
✺
❈♦♥tr♦❧
✶✳✷
✻
❈♦♥tr♦❧
✸✳✺
✼
❈♦♥tr♦❧
✶✳✷
✽
❈♦♥tr♦❧
✻✳✽
✾
❈♦♥tr♦❧
✼✳✻
✶✵
❈♦♥tr♦❧
(∗)
✶✶
❈♦♥tr♦❧
✽✳✻
✶✷
❈♦♥tr♦❧
✺✳✼
✶✸
❈♦♥tr♦❧
✹✳✶
✶✹
❈♦♥tr♦❧
✷✳✺
✶✺
❈♦♥tr♦❧
✵✳✷
✶✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✷✻✳✼
✶✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✶✵✳✵
✶✽
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✽✳✷
✶✾
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✶✶✳✽
✷✵
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✶✸✳✵
✷✶
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✷✷✳✺
✷✷
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✸✳✸
✷✸
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✹✺✳✺
✷✹
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✸✳✻
✷✺
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✺✺✳✵
✷✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✶✹✳✹
✷✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✷✵✳✼
✷✽
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✶✳✷
✷✾
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✹✳✹
✸✵
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✸✼✳✾
✸✶
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✻✳✹
✸✷
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✻✳✸
✸✸
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✷✵✳✾
✸✹
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✶✺✳✺
✸✺
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✶✹✳✶
✸✻
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✷✽✳✹
✸✼
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✺✳✸
✸✽
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✹✽✳✻
✸✾
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✼✳✷
✹✵
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✷✾✳✺
✹✶
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✻✺✳✾
✹✷
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✽✳✸
✹✸
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✸✵✳✶
✹✹
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✻✽✳✷
✹✺
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✺✾✳✻
✹✻
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✷✼✳✸
✹✼
▲♦✇ ✐♥♦❝✉❧❛t❡❞
✻✹✳✻
✹✽
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✷✹✳✺
✹✾
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✹✷✳✽
✺✵
❍✐❣❤ ✐♥♦❝✉❧❛t❡❞
✺✶✳✺
❉❛♠❛❣❡❞ ❤②♣❡rs♣❡❝tr❛❧✲✐♠❛❣❡
(∗)✳
✶✵✽
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❆❝❦♥♦✇❧❡❞❣❡♠❡♥ts
■ ✇♦✉❧❞ ✜rst ❧✐❦❡ t♦ t❤❛♥❦ ♠② t❤❡s✐s ❛❞✈✐s♦rs ❢♦r t❤❡ s✉♣♣♦rt ❛♥❞ ♣❛t✐❡♥t ②♦✉ ❤❛❞
✇✐t❤ ♠❡✳ ▼② ❣r❛t✐t✉❞❡ t♦ ▼rs✳ ▼❛❤❧❡✐♥ ❢♦r ❣✐✈✐♥❣ ♠❡ t❤❡ ❝❤❛♥❝❡ t♦ ❝♦♥t✐♥✉❡
❧❡❛r♥✐♥❣ ✐♥ t❤❡ ❤②♣❡rs♣❡❝tr❛❧ ✐♠❛❣✐♥❣ t❡❝❤♥✐q✉❡✳ ❚❤❛♥❦ ②♦✉✱ ▼r✳ P❛✉❧✉s✱ ❢♦r t❤❡
✐♥t❡r❡st✐♥❣ ✐❞❡❛s ❛♥❞ ❢♦r ❜r✐♥❣ ♠② ♣r♦❣r❛♠♠✐♥❣ t♦ ❛ ♥❡①t ❧❡✈❡❧✳ ❚❤❛♥❦ ②♦✉✱ ▼r✳
❱❛rr❡❧♠❛♥✱ t♦ ✐♥tr♦❞✉❝❡ ♠❡ ✐♥ ❘❤✐③♦❝t♦♥✐❛ r♦♦t r♦t t♦♣✐❝ ❛♥❞ ❢♦r t❤❡ ♣❛t✐❡♥t✳ ■
✇♦✉❧❞ ❧✐❦❡ ❛❧s♦ t♦ t❤❛♥❦ t❤❡ ❤♦❧❡ st✉✛ ♦❢ t❤❡ ■♥st✐t✉t❡ ♦❢ s✉❣❛r ❜❡❡t r❡s❡❛r❝❤ ✭■❢❩✮
❢♦r s✉♣♣♦rt ❛♥❞ ❣✉✐❞❡ ♠❡ ❞✉r✐♥❣ t❤❡ ❡①♣❡r✐♠❡♥t❛❧ ♣❛rt ♦❢ t❤❡ t❤❡s✐s✳
❚❤❛♥❦s ❯♥✐✈❡rs✐t② ♦❢ ●ött✐♥❣❡♥ ❢♦r ❛❧❧♦✇✐♥❣ ♠❡ t♦ ❜❡ ❛ st✉❞❡♥t✱ ②♦✉ ❣❛✈❡ t❤❡
❛❝❝❡♣t❛♥❝❡ ❧❡tt❡r ❜❡❢♦r❡ ■ ❤❛❞ ❛❧❧ t❤❡ r❡q✉✐r❡♠❡♥ts✳ ❨♦✉ s❛✇ s♦♠❡t❤✐♥❣ ♦♥ ♠❡
❛♥❞ ■ ❛♣♣r❡❝✐❛t❡ ✐t✳
▲❛st❧②✱ ■ ✇❛♥t t♦ t❤❛♥❦ t❤❡ ♣r♦❢❡ss♦rs ♦❢ t❤❡ ❛❣r✐❝✉❧t✉r❡ ❢❛❝✉❧t② ❛t ❯♥✐✈❡rs✐t②
●ött✐♥❣❡♥ ❢♦r t❡❛❝❤ ♠❡ t❤❡ ❛❣r♦♥♦♠② t❤❛t ❝♦♠♣❧❡♠❡♥t❡❞ ♠② ❇❛❝❤❡❧♦r st✉❞✐❡s✳
❚❤❡ s❝✐❡♥❝❡ ■ ❧❡❛r♥❡❞ t❤❡ ❧❛st t✇♦ ②❡❛r ✐❣♥✐t❡❞ t❤❡ ✜r❡ ♦❢ ❝✉r✐♦s✐t② ✐♥ ♠② ❤❡❛❞✳
✶✵✾
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❆❣r❛❞❡❝✐♠✐❡♥t♦s
◗✉✐❡r♦ ❛❣r❛❞❡❝❡r ♠✉② ❝♦r❞✐❛❧♠❡♥t❡ ❛ ❧❛s ♦r❣❛♥✐③❛❝✐♦♥❡s q✉❡ ♣❡r♠✐t✐❡r♦♥ ♣♦❞❡r
r❡❛❧✐③❛r ♠✐s ❡st✉❞✐♦s ❞❡ ♠❛❡strí❛ ❡♥ ❆❧❡♠❛♥✐❛✳ ❆❧ Pr♦❣r❛♠❛ ◆❛❝✐♦♥❛❧ ❞❡ ❇❡❝❛s
② ❝ré❞✐t♦ ❡❞✉❝❛t✐✈♦ ❞❡❧ P❡rú ✭P❘❖◆❆❇❊❈✮ ② ❛❧ ❉❡✉ts❝❤❡r ❆❦❛❞❡♠✐s❝❤❡r ❆✉s✲
t❛✉s❝❤❞✐❡♥st ✭❉❆❆❉✮ ♣♦r ♣❡r♠✐t✐r♠❡ ♣♦♥❡r ❛ ♣r✉❡❜❛ ♠✐s ❝♦♥♦❝✐♠✐❡♥t♦s ❝♦♥ ❧❛
❇❡❝❛ ❆▲❊P❘❖◆❆✱ ❣r❛❝✐❛s ♣♦r ❡❧ ❛♣♦②♦ t❛♥t♦ ❡❝♦♥ó♠✐❝♦ ❝♦♠♦ ♣s✐❝♦❧ó❣✐❝♦✳
◗✉✐❡r♦ ❛❣r❛❞❡❝❡r t❛♠❜✐é♥ ❛ ♠✐ q✉❡r✐❞❛ ❯♥✐✈❡rs✐❞❛❞ ◆❛❝✐♦♥❛❧ ❞❡ ❚r✉❥✐❧❧♦ ♣♦r
t♦❞❛s ❧❛s ❡♥s❡ñ❛♥③❛s ② ❡❧ ❛♣♦②♦ ❛❞♠✐♥✐str❛t✐✈♦ ❞✉r❛♥t❡ ♠✐ ♣♦st✉❧❛❝✐ó♥✳ ❊s ❛q✉í
❞♦♥❞❡ ♠✐ ♣❛s✐ó♥ ♣♦r ❧❛s ❝✐❡♥❝✐❛s ♥❛t✉r❛❧❡s ❝r❡❝✐ó✱ ❝♦♠♦ ✉♥❛ ♣❧❛♥t❛ ❝✉❛♥❞♦ t✐❡♥❡
♥✉tr✐❡♥t❡s ② ❛♠❜✐❡♥t❡ ❛❞❡❝✉❛❞♦✳ ❆ ♠✐s ♣r♦❢❡s♦r❡s✱ ❡♥ ❡s♣❡❝✐❛❧ ❛ ♠✐ ❛s❡s♦r q✉❡
♠❡ ♣❡r♠✐t✐ó ✐♥✐❝✐❛r ❡❧ ❧❛ ❧í♥❡❛ ❞❡ ✐♥✈❡st✐❣❛❝✐ó♥ q✉❡ ❛❤♦r❛ ♠❡ ❞❡s❡♠♣❡ñ♦✳ ❆ ♠✐s
❝♦♠♣❛ñ❡r♦s ❝♦♥ ❧♦s q✉❡ ♣❛s❛♠♦s ✐♥t❡r♠✐♥❛❜❧❡s ❤♦r❛s ♣❛r❛ ❡♥t❡♥❞❡r ❧♦s ♠✐st❡r✐♦s
❞❡ ❧❛ ❝✐❡♥❝✐❛✱ ❛ t♦❞♦s ✉st❡❞❡s ♠✉❝❤❛s ❣r❛❝✐❛s✳
❉❡❧ ♠✐s♠♦ ♠♦❞♦ q✉✐❡r♦ ❛❣r❛❞❡❝❡r ❛ ♠✐s s❡r❡s q✉❡r✐❞♦s✳ ❆ ♠✐s ♣❛❞r❡s q✉❡ ❢✉❡r♦♥
❧♦s ♣r✐♠❡r♦s ♠❛❡str♦s q✉❡ t✉✈❡✱ ❧♦s ♠❛❡str♦s ❞❡ ♠✐ ✈✐❞❛✳ ❆ ♠✐s ❤❡r♠❛♥♦s✱ ▼✐❣✉❡❧✱
❈✐♥t②❛ ② ▲✐♥♦✱ ♣♦r ❧♦s ❝✉✐❞❛❞♦s ② ❧❛ ♣r♦t❡❝❝✐ó♥ q✉❡ ❝♦♠♦ ❤❡r♠❛♥♦s ♠❛②♦r❡s
s✐❡♠♣r❡ ♠❡ ❜r✐♥❞❛r♦♥✳ ▼❡ ❢❛❧t❛rí❛ ❤♦❥❛s ❡♥ ❡st❡ ❞♦❝✉♠❡♥t♦ ♣❛r❛ ❛❣r❛❞❡❝❡r ❛
t♦❞❛ ♠✐ ❢❛♠✐❧✐❛✱ ♣❡r♦ q✉✐❡r♦ ❛❣r❛❞❡❝❡r ❡♥ ❡s♣❡❝✐❛❧ ❛ ♠✐ ♣r✐♠♦ ❖♠❛r ② ❛ ♠✐ tí♦
❏❛✈✐❡r✱ ♣♦r ❡❧ ❛♣♦②♦ ✐♥❝♦♥❞✐❝✐♦♥❛❧✳
P❛r❛ t❡r♠✐♥❛r ❡st❛ ♣á❣✐♥❛✱ q✉✐❡r♦ ❛❣r❛❞❡❝❡r ❛ ♠✐s ❛♠✐❣♦s✳
❆ ♣❡s❛r ❞❡ ♠✐
✐♥❣r❛t✐t✉❞✱ s✐❡♠♣r❡ ❡stá♥ ❡♥ ♠✐s ♣❡♥s❛♠✐❡♥t♦s✱ ② ❝✉❛♥❞♦ ✉♥ r❡❝✉❡r❞♦ s❡ ♠❡ ❝r✉③❛
♣♦r ❧❛ ❝❛❜❡③❛✱ s♦♥r✐ó ② ❛❣r❛❞❡③❝♦ ♣♦r ❧❛ ❢r❛t❡r♥✐❞❛❞ s✐♥ ✐♥t❡rés✳ ●r❛❝✐❛s ❛♠✐❣♦s
❞❡ ❧❛ ♥✐ñ❡③✱ ❛❞♦❧❡s❝❡♥❝✐❛✱ ② ❥✉✈❡♥t✉❞ ❝♦♥ ❧♦s q✉❡ t❛♥t❛s ❧♦❝✉r❛s ❤✐❝✐♠♦s ❞✉r❛♥t❡
❛q✉❡❧❧♦s ❛ñ♦s✳
▼✉❝❤❛s ❣r❛❝✐❛s✳
✶✶✵
❈❍❆P❚❊❘ ✽✳
❆PP❊◆❉■❳
❉❛♥❦s❛❣✉♥❣❡♥
▼❡✐♥❡ ❉❛♥❦s❛❣✉♥❣❡♥ ❣❡❤❡♥ ❛✉❝❤ ❛♥ ♠❡✐♥❡ ❋❛♠✐❧✐❡ ✐♥ ❉❡✉ts❝❤❧❛♥❞✳
❉❛♥❦❡ ❞✐r
❋r❛♥③✐ ❢ür ❞✐❡ ▼♦t✐✈❛t✐♦♥ ✉♥❞ ❯♥t❡rstüt③✉♥❣ ③✉ ❥❡❞❡r ❩❡✐t✳▼✐t ❞✐r ❤❛❜❡ ✐❝❤ ❞✐❡s❡
❧❛♥❣❡ ❘❡✐s❡ ❛♥❣❡❢❛♥❣❡♥ ✉♥❞ ❙❝❤r✐tt ❢ür ❙❝❤r✐tt ❦♦♥♥t❡♥ ✇✐r ✉♥s❡r❡ ❣❡♠❡✐♥s❛♠❡♥
❩✐❡❧❡ ❡rr❡✐❝❤❡♥✳ ❏❡t③t ❡♥tst❡❤❡♥ ♥❡✉❡ ❙❡✐t❡♥ ✐♥ ✉♥s❡r❡♠ ❇✉❝❤ ❞❡r ❊❤❡ ✉♥❞ ✐❝❤ ❜✐♥
❣❧ü❝❦❧✐❝❤✱ ❞❛ss ❞✉ ❞✐❡ ❍❛✉♣t♣r♦t❛❣♦♥✐st✐♥ ❜✐st✳
■❝❤ ♠ö❝❤t❡ ♠✐❝❤ ❛✉❝❤ ❜❡✐ ❞❡r ❋❛♠✐❧✐❡ ❊❤♠ ❜❡❞❛♥❦❡♥✱ ✈✐❡❧❡♥ ❉❛♥❦ ❈❧❛✉❞✐❛
✉♥❞ ✈✐❡❧❡♥ ❉❛♥❦ ❑❛✐✳
■❤r ❤❛❜t ♠✐❝❤ ❞✐r❡❦t ✈♦♥ ❆♥❢❛♥❣ ❛♥ ❛❧s ❚❡✐❧ ❞❡r ❋❛♠✐❧✐❡
❛✉❢❣❡♥♦♠♠❡♥✱ ❛❧s ✇❡♥♥ ✐❝❤ s❝❤♦♥ ❧❛♥❣❡ ❚❡✐❧ ❞✐❡s❡r ❋❛♠✐❧✐❡ ❣❡✇❡s❡♥ ✇är❡✳
❱✐❡❧❡♥ ❉❛♥❦ ❛✉❝❤ ❛♥ ♠❡✐♥❡ ❧✐❡❜❡♥ ❚♦♣s②s✱ ✈✐❡❧❡♥ ❉❛♥❦ ❋❛❝✉♥❞♦ ❢ür ❞✐❡ ❊✐♥✲
❢ü❤r✉♥❣ ✐♥ ●ött✐♥❣❡♥✱ ✈✐❡❧❡♥ ❉❛♥❦ ❋r❡✉♥❞❡ ❢ür ❥❡❞❡♥ ❆❜❡♥❞ ✈♦❧❧❡r ❙♣❛ÿ ✉♥❞
❋r❡✉♥❞s❝❤❛❢t✳
■❤r ❤❛❜t ❞❡♥ P❧❛t③ ❣❡❢ü❧❧t✱ ❞❡♥ ✐❝❤ ❜❡✐ ♠❡✐♥❡♥ ❋r❡✉♥❞❡♥ ✐♥ P❡r✉
❧❛ss❡♥ ♠✉sst❡✳ ❱✐❡❧❡♥ ❉❛♥❦ ❏✉♥❣s✳
❱✐❡❧❡♥ ❉❛♥❦ ▼❛r❜✉r❣✱ ✈✐❡❧❡♥ ❉❛♥❦ ●ött✐♥❣❡♥ ✉♥❞ ✈✐❡❧❡♥ ❉❛♥❦ ❘❡✐♥❢❡❧❞✳
✶✶✶
Verification of examination registration in FlexNow
Name: Mr Abel Andree Barreto Alcántara
Matriculation No.: 21623719
Semester: WS18/19
Degree Course: Agrarwissenschaften (Master of Science)
Module: Nutzpflanzenwissenschaften
Exam: Agrar - Abschlussarbeit
Lecturer: PD Dr. Anne-Katrin Mahlein
Declaration
I hereby declare that I have produced this work independently and without outside
assistance, and have used only the sources and tools stated.
I have clearly identified the sources of any sections from other works that I have quoted
or given in essence.
I have complied with the guidelines on good academic practice at the University of
Göttingen.
If a digital version has been submitted, it is identical to the written one.
I am aware that failure to comply with these principles will result in the examination
being graded “nicht bestanden”, i.e. failed.
Göttingen, 23rd January 2019
Abel Andree Barreto Alcántara
This verification was created in FlexNow.
Verification of examination registration in FlexNow
Name: Mr Abel Andree Barreto Alcántara
Matriculation No.: 21623719
Semester: WS18/19
Degree Course: Agrarwissenschaften (Master of Science)
Module: Nutzpflanzenwissenschaften
Exam: Agrar - Abschlussarbeit
Lecturer: Prof. Dr. Mark Varrelmann
Declaration
I hereby declare that I have produced this work independently and without outside
assistance, and have used only the sources and tools stated.
I have clearly identified the sources of any sections from other works that I have quoted
or given in essence.
I have complied with the guidelines on good academic practice at the University of
Göttingen.
If a digital version has been submitted, it is identical to the written one.
I am aware that failure to comply with these principles will result in the examination
being graded “nicht bestanden”, i.e. failed.
Göttingen, 23rd January 2019
Abel Andree Barreto Alcántara
This verification was created in FlexNow.
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