Replication Data for: Optimal defense traits in plants living in environments with different productivities: extending Coley, Bryant and Chapin's model (doi:10.7910/DVN/H6OAVG)

View:

Part 1: Document Description
Part 2: Study Description
Part 3: Data Files Description
Part 4: Variable Description
Part 5: Other Study-Related Materials
Entire Codebook

Replication Data for: Optimal defense traits in plants living in environments with different productivities: extending Coley, Bryant and Chapin's model

doi:10.7910/DVN/H6OAVG

Harvard Dataverse

2020-01-29

3

Czekaj, Łukasz; Janczur, Mariusz Krzysztof, 2020, "Replication Data for: Optimal defense traits in plants living in environments with different productivities: extending Coley, Bryant and Chapin's model", https://doi.org/10.7910/DVN/H6OAVG, Harvard Dataverse, V3, UNF:6:IDzxbDZQ0TR7j5xIxdyU+w== [fileUNF]

Replication Data for: Optimal defense traits in plants living in environments with different productivities: extending Coley, Bryant and Chapin's model

doi:10.7910/DVN/H6OAVG

Czekaj, Łukasz (Institute of Theoretical Physics and Astrophysics, Department of Mathematics, Physics and Informatics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland)

Janczur, Mariusz Krzysztof (Universidad Autónoma del Estado de México)

Janczur, Mariusz Krzysztof

Czekaj, Łukasz

Janczur, Mariusz Krzysztof

2019-08-12

C++

180694

Harvard Dataverse

Janczur, Mariusz Krzysztof

Janczur, Mariusz Krzysztof

2019-08-13

2019-08-12

https://doi.org/10.7910/DVN/H6OAVG

Mathematical Sciences, Medicine, Health and Life Sciences, herbivory, optimal control, optimal defense in plants, environmental productivity, allocation model

evolutionary ecology, evolutionary biology, optimal energy allocation, life history

We present a mathematical model to solve an Optimal Control Problem for the optimal energy allocation to growth, reproduction and the production of defensive substances in plants. The substances produced repeal herbivores.

numerical solutions

Signing of the confidentiality is required

Permission of the authors is required to use the software

Citation of the dataset and of the article is required

The software attached may be used only with the permission of the authors.

Software

Łukasz Czekaj, Mariusz Krzysztof Janczur. Optimal defense traits in plants living in environments with different productivities: is Coley, Bryant and Chapin's model still valid?

Łukasz Czekaj, Mariusz Krzysztof Janczur. Optimal defense traits in plants living in environments with different productivities: is Coley, Bryant and Chapin's model still valid?

• Number of cases: 191

• No. of variables per record: 5

• Type of File: text/tab-separated-values

UNF:6:oiaFOPJtqPHZ3DGlCLbF6w==

• Number of cases: 4488

• No. of variables per record: 17

• Type of File: text/tab-separated-values

UNF:6:muP0vxEBK/GPq7sY+SPl8g==

Initial values of coefficients, parameters and the results of Optimal Control algorithm

• Seedsize(winit) - Seedsize(winit)
• Init.defensivesubst.concentration(Cinit) - Init.defensivesubst.concentration(Cinit)
• Initialreprodbiomass - Initialreprodbiomass
• Maxherbivorypressure(hd) - Maxherbivorypressure(hd)
• Repellingeffectivnessofdefensivesubst.(g) - Repellingeffectivnessofdefensivesubst.(g)
• Seedsize(winit) - Seedsize(winit)
• Init.defensivesubst.concentration(Cinit) - Init.defensivesubst.concentration(Cinit)
• Initialreprodbiomass - Initialreprodbiomass
• Maxherbivorypressure(hd) - Maxherbivorypressure(hd)
• Repellingeffectivnessofdefensivesubst.(g) - Repellingeffectivnessofdefensivesubst.(g)
• Totalvegetativeproduction - Totalvegetativeproduction
• Totalvegetativebiomassconsumed - Totalvegetativebiomassconsumed
• Totalvegetativebiomass - Totalvegetativebiomass
• Totalreproductivebiomass - Totalreproductivebiomass
• Totaldefensivesubst.production - Totaldefensivesubst.production
• Totaldefensivesubst.productionwithinitialdef.subst.level - Totaldefensivesubst.productionwithinitialdef.subst.level
• Finaldefensivesubst.concetration - Finaldefensivesubst.concetration
• Finalveget.biomassproduction - Finalveget.biomassproduction
• Startofalloc.todefens.subst.produciton - Startofalloc.todefens.subst.produciton
• Endofalloc.todefens.subst.produciton - Endofalloc.todefens.subst.produciton
• Startofalloctoreproduction - Startofalloctoreproduction
• Isalloc.toreprodbangbang? - Isalloc.toreprodbangbang?

f3536980 Location:

Summary Statistics: Valid 191.0; StDev 0.0033814846589174117; Mean 0.0015532267015706805; Max. 0.01; Min. 1.0E-7;

Variable Format: numeric

Notes: UNF:6:oRa4joyEzKhrw8lTohToXQ==

f3536980 Location:

Summary Statistics: Mean 0.0; Min. 0.0; Max. 0.0; StDev 0.0; Valid 191.0;

Variable Format: numeric

Notes: UNF:6:hYEy/lVSHBzNudLtl5G1TQ==

f3536980 Location:

Summary Statistics: Min. 0.0; Valid 191.0; Mean 0.0; Max. 0.0; StDev 0.0;

Variable Format: numeric

Notes: UNF:6:hYEy/lVSHBzNudLtl5G1TQ==

f3536980 Location:

Summary Statistics: Max. 64.0; Valid 191.0; StDev 15.821745881031584; Mean 11.114820209424083; Min. 0.25

Variable Format: numeric

Notes: UNF:6:h/R9iubHCASfPqiE6a3qeQ==

f3536980 Location:

Summary Statistics: Valid 191.0; Max. 19.3262; StDev 4.359191155603424; Min. 0.00976563; Mean 3.319136327591623;

Variable Format: numeric

Notes: UNF:6:4UGGHgiZgxrAgQ2EoZK/yg==

f3536982 Location:

Summary Statistics: StDev 0.003661783183227373; Mean 0.0018518500000000507; Min. 1.0E-7; Valid 4488.0; Max. 0.01

Variable Format: numeric

Notes: UNF:6:o5CB6pXIJVWib7s943bv/A==

f3536982 Location:

Summary Statistics: Min. 0.0; StDev 0.0; Mean 0.0; Valid 4488.0; Max. 0.0

Variable Format: numeric

Notes: UNF:6:4iJo7lkAXhu/PHoYZUFy3A==

f3536982 Location:

Summary Statistics: Mean 0.0; Valid 4488.0; Max. 0.0; StDev 0.0; Min. 0.0

Variable Format: numeric

Notes: UNF:6:4iJo7lkAXhu/PHoYZUFy3A==

f3536982 Location:

Summary Statistics: Max. 64.0; StDev 16.50194602114459; Min. 0.0; Mean 11.792125294117648; Valid 4488.0;

Variable Format: numeric

Notes: UNF:6:OtMHt/0uLmCvp9V6bqSV7A==

f3536982 Location:

Summary Statistics: Valid 4488.0; StDev 6.344995694152546; Max. 21.0; Mean 10.5; Min. 0.0

Variable Format: numeric

Notes: UNF:6:sbabM2RNEGRTvFfa/87U+A==

f3536982 Location:

Summary Statistics: Max. 0.03151408; Mean 0.006944854110236635; StDev 0.00614768305410615; Min. -7.035444E-21; Valid 4488.0

Variable Format: numeric

Notes: UNF:6:D8Pq1+ZE5orQnHV9loHntA==

f3536982 Location:

Summary Statistics: Max. 0.02258763; StDev 0.002711359125390697; Valid 4488.0; Mean 0.002016835381125668; Min. 0.0;

Variable Format: numeric

Notes: UNF:6:lYBkx9eQKI+KSlkHGG4Big==

f3536982 Location:

Summary Statistics: Min. 2.641206E-22; StDev 0.007389711328429635; Max. 0.041515; Valid 4488.0; Mean 0.006791090304631097

Variable Format: numeric

Notes: UNF:6:jIykn1jWKmlzvC6WQU1QUQ==

f3536982 Location:

Summary Statistics: StDev 0.012922978796025808; Max. 0.05973393; Valid 4488.0; Min. 1.030734E-6; Mean 0.012905337310961894;

Variable Format: numeric

Notes: UNF:6:QjsnDXrFHM97J5MhhS/4MA==

f3536982 Location:

Summary Statistics: Valid 4488.0; Max. 0.007947353; Min. -8.6891E-7; Mean 0.001299188417636309; StDev 0.0017241743101356895;

Variable Format: numeric

Notes: UNF:6:8ZNMbb2ZpSaA97wQfrnutA==

f3536982 Location:

Summary Statistics: Max. 0.007947353; Mean 0.001299188417636309; StDev 0.0017241743101356895; Min. -8.6891E-7; Valid 4488.0

Variable Format: numeric

Notes: UNF:6:8ZNMbb2ZpSaA97wQfrnutA==

f3536982 Location:

Summary Statistics: Valid 4488.0; Max. 3.542892; StDev 0.41563303529427187; Mean 0.2807628389715371; Min. -1.443459E-4;

Variable Format: numeric

Notes: UNF:6:nrNR83apQ66gghofC5MBmw==

f3536982 Location:

Summary Statistics: StDev 0.10633634525024267; Min. 0.0; Valid 4488.0; Max. 0.99; Mean 0.6153698752228178

Variable Format: numeric

Notes: UNF:6:CaDKLjPSeHuFMAGAcqNT3w==

f3536982 Location:

Summary Statistics: Min. 0.0; Mean 0.03262032085561568; Valid 4488.0; Max. 0.49; StDev 0.08376208923086056

Variable Format: numeric

Notes: UNF:6:5yuV7j/zHLHYtIHjc5REVw==

f3536982 Location:

Summary Statistics: Min. 0.0; Mean 0.4364505347593586; Valid 4488.0; StDev 0.2363577334535474; Max. 0.71

Variable Format: numeric

Notes: UNF:6:npQLmXkQsRiD6SLHnTdtWw==

f3536982 Location:

Summary Statistics: Valid 4488.0; Min. 0.0; StDev 0.13247267243193603; Max. 0.7; Mean 0.5940329768270931

Variable Format: numeric

Notes: UNF:6:8QBk4tSQhHo4vtwswQ7V5g==

f3536982 Location:

Summary Statistics: Min. 0.0; StDev 0.3944916015869651; Valid 4488.0; Max. 1.0; Mean 0.8072638146167546

Variable Format: numeric

Notes: UNF:6:MtjOCXCeBdMGopUBImyGlQ==

Label:

S1 Fig.tif

Text:

S1 Fig. The effect of the environmental productivity on fitness: scaling of the parameters. To study how the differences of the parameter a (environmental productivity) affect ceteris paribus the lifespan optimal strategy, we compare different strategies laying on the curve w, g, h parameterized by λ. Changing a affects w0 but does not affect h and g.

image/tiff

Label:

S2 Figure.pdf

Text:

S2 Figure. Illustration of the idea of the scaling of the environmental productivity by referencing the seed size to the maximum possible vegetative biomass when there is no herbivory, and all production is allocated to growth. After scaling, growth rate is higher for plants with smaller seed and thus, such plants may begin growing later to achieve the same final vegetative biomass.

application/pdf

Label:

S2 Numerical procedures.pdf

application/pdf

Label:

S5 Results.xlsx

Text:

Results of optimal energy allocation model using dynamic programming. Variables: Seed size (w_init ) Initial defensive substance concentration (C_init) Initial reproductive biomass Max herbivory pressure (hd) Repelling effectiveness of defensive substance (g) Total vegetative production Total vegetative biomass consumed by herbivores Total vegetative biomass Total reproductive biomass Total defensive substance production Total defensive substance production with initial defensive substance level Final defensive substance concentration Final vegetative biomass production Start of allocation to defensive substance production End of allocation to defensive substance production Start of allocation to reproduction Is allocation to reproduction bang bang?

application/vnd.openxmlformats-officedocument.spreadsheetml.sheet