<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>For different kinds of plants, the distribution of lateral roots is highly plastic in different growth environments. In particular, the branching distance of the roots plays a decisive role in the formation of the root system architecture. In many root-system architecture models, constant branching distances of different branching orders usually are used to simulate the dynamics of a root system architecture. However, little is known about the formation of lateral roots, and branching distances for different branching orders are variable in the actual root system. The resource allocation model for predicting the lateral root distribution in individual plants has been established based on Parrondo's game. The root branching data predicted by the model is compared with the actual root branching data. The results show that the proposed method can cause serious changes in the spacing and distribution of lateral root formation. A parameter called development window can be used to override interbranch distance in the root-system architecture models.</p>
</abstract>

For different kinds of plants, the distribution of lateral roots is highly plastic in different growth environments. In particular, the branching distance of the roots plays a decisive role in the formation of the root system architecture. In many root-system architecture models, constant branching distances of different branching orders usually are used to simulate the dynamics of a root system architecture. However, little is known about the formation of lateral roots, and branching distances for different branching orders are variable in the actual root system. The resource allocation model for predicting the lateral root distribution in individual plants has been established based on Parrondo's game. The root branching data predicted by the model is compared with the actual root branching data. The results show that the proposed method can cause serious changes in the spacing and distribution of lateral root formation. A parameter called development window can be used to override interbranch distance in the root-system architecture models.

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

Journal of Horticultural Research

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Modeling and Analysis of Root Branching Plasticity Based on Parrondo's Game"}

For different kinds of plants, the distribution of lateral roots is highly plastic in different growth environments. In particular, the branching distance of...

Species	Family	Site	Sample abbreviation	EL	GDs	Dmin	IbD
Anthoxanthum odoratum	Poaceae	Pot Clermont-Ferrand	AnOdPC	18.8(2.4)	774	0.07	1.43(0.072)
Anthoxanthum odoratum	Poaceae	Nozeyrolles	AnOdN	18.8(2.4)	774	0.07	1.43(0.072)
Arrhenatherum elatius	Poaceae	Pot Clermont-Ferrand	ArElPC	17.6(1.2)	302	0.098	3.78(0.070)
Dactylis glomerata	Poaceae	Nozeyrolles	DaGlN	14.7(1.3)	803	0.075	2.43(0.071)
Lolium perenne	Poaceae	Thouzon	LoPeT	16.6(1.7)	1533	0.058	2.44(0.069)
Poa trivialis	Poaceae	Pot Clermont-Ferrand	PoTrPC	25.8(1.1)	1407	0.051	1.09(0.067)
Poa trivialis	Poaceae	Thouzon	PoTrT	25.8(1.1)	1407	0.051	1.09(0.067)
Zea mays	Poaceae	Pot Avignon	ZeMaPC	51	50	0.14	2

Name	Description	Unit	Value
p1₀	maximum winning probability of branch 1	-	0.75
P2₀	maximum winning probability of branch 2	-	0.1
R_thr	capital threshold of rhizomer	-	5
RAge_max	growth duration of rhizomer	day	5
K	K-nearest neighbor	-	2
ɛ	biases	-	0.005
EL	slope of potential elongation rate versus diameter	mm·mm⁻¹·day⁻¹	according to species
GDs	growth duration parameter	day·mm⁻²	according to species
D_min	minimum threshold diameter below which there is no possible elongation	mm	according to species

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

Published Online: Oct 01, 2022

Page range: 23 - 32

Received: Dec 01, 2021

Accepted: Jul 01, 2022

DOI: https://doi.org/10.2478/johr-2022-0013

Keywords
Parrondo's game, root system architecture, branching density, interbranch distance, resource allocation model

© 2022 Songyang Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

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

Parameters for Parrondo's game

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

Published Online: Oct 01, 2022

Page range: 23 - 32

Received: Dec 01, 2021

Accepted: Jul 01, 2022

DOI: https://doi.org/10.2478/johr-2022-0013

KeywordsParrondo's game, root system architecture, branching density, interbranch distance, resource allocation model

© 2022 Songyang Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

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

Parameters for Parrondo's game

Keywords
Parrondo's game, root system architecture, branching density, interbranch distance, resource allocation model