Plants’ competition under autotoxicity effect: an evolutionary game

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Optimization Letters Pub Date : 2023-10-19 DOI:10.1007/s11590-023-02069-7

Nikolaos Karagiannis-Axypolitidis, Fabrizio Panebianco, Giuliano Bonanomi, Francesco Giannino

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Abstract

Abstract We develop a $$2\times 2$$ 2 × 2 evolutionary matrix game to model vegetation dynamics due to the effect of autotoxicity. The phenomenon of autotoxicity refers to the rise in soil of negative conditions for plant performance induced by the plants themselves. Relating the Nash Equilibrium Strategies of the game to the stability of the equilibrium points of the induced population dynamics, we investigate under which conditions coexistence of low and highly sensitive to autotoxicity plants occurs and under which a monospecific population dominates the competition. Based on this classification, we investigate the optimal distribution of the two distinct types of plants in order to maximize the cumulative total fitness and determine if this distribution is stable. The primary outcome of this study is to analyze the necessary conditions for achieving the highest total fitness in both mixed and monospecific populations of low-sensitivity plants. In contrast, we argue that a monospecific population of highly sensitive plants can never maximize overall fitness.

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植物自毒效应下的竞争:一种进化博弈

摘要:本文建立了一个$$2\times 2$$ 2 × 2进化矩阵博弈模型来模拟自毒性作用下的植被动态。自毒现象是指植物自身引起的对植物生长不利条件的土壤上升。将博弈的纳什均衡策略与诱导种群动态平衡点的稳定性联系起来，探讨了在何种条件下低敏感性和高敏感性植物共存，以及在何种条件下单特异性种群在竞争中占主导地位。在此基础上，我们研究了两种不同类型植物的最优分布，以最大限度地提高累积总适应度，并确定这种分布是否稳定。本研究的主要结果是分析低敏感性植物混合种群和单特异种群实现最高总适合度的必要条件。相比之下，我们认为高敏感植物的单特异性种群永远无法最大化整体适应度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optimization Letters 管理科学-应用数学

CiteScore

3.40

自引率

6.20%

发文量

116

审稿时长

9 months

期刊介绍： Optimization Letters is an international journal covering all aspects of optimization, including theory, algorithms, computational studies, and applications, and providing an outlet for rapid publication of short communications in the field. Originality, significance, quality and clarity are the essential criteria for choosing the material to be published. Optimization Letters has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time one of the most striking trends in optimization is the constantly increasing interdisciplinary nature of the field. Optimization Letters aims to communicate in a timely fashion all recent developments in optimization with concise short articles (limited to a total of ten journal pages). Such concise articles will be easily accessible by readers working in any aspects of optimization and wish to be informed of recent developments.