CEREMADE, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal De Lattre De Tassigny, Université PSL, 75775, Paris cedex 16, France.
Department of Mathematics, Ohio State University, Ohio, 43210, USA.
J Math Biol. 2021 Mar 15;82(5):36. doi: 10.1007/s00285-021-01579-1.
We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different probabilities, but are otherwise identical. We regard these probabilities as dispersal strategies. We show that the evolutionarily stable strategies are to move in one direction only. Our results predict that it is more beneficial for the species to choose the direction with smaller variation in the resource distribution. This finding seems to be in agreement with the classical results of Hastings (1983) and Dockery et al. (1998) for the evolution of slow dispersal, i.e. random diffusion is selected against in spatially heterogeneous environments. These conclusions also suggest that broader dispersal strategies should be considered regarding the movement in heterogeneous habitats.
我们考虑了一个存在于二维异质环境中的两种相互竞争的种群系统。假设这些种群以不同的概率在水平和垂直方向上移动，但其他方面是相同的。我们将这些概率视为扩散策略。我们证明了进化稳定策略是只向一个方向移动。我们的研究结果预测，对于物种来说，选择资源分布变化较小的方向更有利。这一发现似乎与 Hastings（1983）和 Dockery 等人（1998）关于缓慢扩散进化的经典结果一致，即在空间异质环境中，随机扩散会被选择淘汰。这些结论还表明，在考虑异质生境中的运动时，应该考虑更广泛的扩散策略。
