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Modeling and Analysis of Root Branching Plasticity Based on Parrondo's Game Cover

Modeling and Analysis of Root Branching Plasticity Based on Parrondo's Game

By: Songyang Li,  Miao Wang and  Haipeng Yu  
Open Access
|Oct 2022

Figures & Tables

Figure 1

Schema of rhizomers based on development window (dw)
Schema of rhizomers based on development window (dw)

Figure 2

Structure of Parrondo's game of rhizomers
Structure of Parrondo's game of rhizomers

Figure 3

Probability density distributions of eight samples to illustrate best fit of the model according to the mean-squared error. Solid lines are simulated distributions, and dashed lines are observed distributions
Probability density distributions of eight samples to illustrate best fit of the model according to the mean-squared error. Solid lines are simulated distributions, and dashed lines are observed distributions

Figure 4

Mean-squared errors of eight samples between simulated distributions and the empirical IbD distributions
Mean-squared errors of eight samples between simulated distributions and the empirical IbD distributions

Figure 5

Mean-squared errors of DaGlN (A) and AnOdPC (B) with different p1 and p2
Mean-squared errors of DaGlN (A) and AnOdPC (B) with different p1 and p2

List of considered samples, with the name of the species, the family, the site of observation, the abbreviation, and parameters values for elongation of each species

SpeciesFamilySiteSample abbreviationELGDsDminIbD
Anthoxanthum odoratumPoaceaePot Clermont-FerrandAnOdPC18.8(2.4)7740.071.43(0.072)
Anthoxanthum odoratumPoaceaeNozeyrollesAnOdN18.8(2.4)7740.071.43(0.072)
Arrhenatherum elatiusPoaceaePot Clermont-FerrandArElPC17.6(1.2)3020.0983.78(0.070)
Dactylis glomerataPoaceaeNozeyrollesDaGlN14.7(1.3)8030.0752.43(0.071)
Lolium perennePoaceaeThouzonLoPeT16.6(1.7)15330.0582.44(0.069)
Poa trivialisPoaceaePot Clermont-FerrandPoTrPC25.8(1.1)14070.0511.09(0.067)
Poa trivialisPoaceaeThouzonPoTrT25.8(1.1)14070.0511.09(0.067)
Zea maysPoaceaePot AvignonZeMaPC51500.142

Parameters for Parrondo's game

NameDescriptionUnitValue
p10maximum winning probability of branch 1-0.75
P20maximum winning probability of branch 2-0.1
Rthrcapital threshold of rhizomer-5
RAgemaxgrowth duration of rhizomerday5
KK-nearest neighbor-2
ɛbiases-0.005
ELslope of potential elongation rate versus diametermm·mm−1·day−1according to species
GDsgrowth duration parameterday·mm−2according to species
Dminminimum threshold diameter below which there is no possible elongationmmaccording to species
DOI: https://doi.org/10.2478/johr-2022-0013 | Journal eISSN: 2353-3978 | Journal ISSN: 2300-5009
Language: English
Page range: 23 - 32
Submitted on: Dec 1, 2021
Accepted on: Jul 1, 2022
Published on: Oct 1, 2022
Published by: National Institute of Horticultural Research
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Songyang Li, Miao Wang, Haipeng Yu, published by National Institute of Horticultural Research
This work is licensed under the Creative Commons Attribution 4.0 License.