Using the ESS Maximum Principle to Explore Root-shoot Allocation , Competition and Coexistence
Using the ESS Maximum Principle to Explore Root-shoot Allocation , Competition and Coexistence
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利用ESS极大值原理探索根芽分配、竞争与共存
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通讯作者：
T. V.
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作者：
T. V.;T. V.
植物之间的竞争，不同的根冠分配已被建模使用消费者资源方程的竞争只发生通过利用资源。只要这样的模型可以放入一个进化的游戏设置，我们表明，共存的条件可以使用进化博弈论的ESS最大值原理进行分析。我们使用Reynolds & Pacala（1993）的消费者资源模型的修改版本来演示这种方法。消费者将生物量分配给根或枝表示为进化策略。由于稳定性条件是由ESS最大值原理定义的，因此可以在不分析雅可比矩阵的情况下确定共存的方面。使用ESS最大值原理，我们确认，两个或两个以上的物种之间的共存是不可能的，这个模型。我们发现，这一结果取决于消费者的增长率是一个线性函数的分配策略，并不依赖于形式的（非线性）养分和光的可用性方程。此外，我们表明，物种共存是可能的，如果修改模型，包括非线性依赖的消费者增长率的分配策略。我们给出了一个例子，两个物种之间的共存。7 1996年学术出版社有限公司
Competition between plants that differ in root-shoot allocation has been modelled using consumer-resource equations where competition occurs only through the utilization of resources. Provided that such models can be put into an evolutionary game setting, we show that conditions for coexistence can be analysed using the ESS maximum principle from evolutionary game theory. We demonstrate this approach using a modified version of a consumer-resource model from Reynolds & Pacala (1993). Allocation of biomass by the consumers to root or shoot is expressed as an evolutionary strategy. Since stability conditions are defined by the ESS maximum principle, aspects of coexistence can be determined without analyses of Jacobian matrices. Using the ESS maximum principle, we confirm that coexistence between two or more species is not possible with this model. We show that this result depends on the consumer growth rate being a linear function of allocation strategy and does not depend on the form of the (nonlinear) nutrient and light availability equations. In addition, we show that species coexistence is possible if the model is modified to include a nonlinear dependence of consumer growth rate on allocation strategy. We give an example where coexistence between two species is obtained. 7 1996 Academic Press Limited