Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, LAMA, 73000, Chambéry, France.
Bull Math Biol. 2021 Jan 16;83(3):20. doi: 10.1007/s11538-020-00853-5.
Dispersal is a fundamental and crucial ecological process for a metapopulation to survive in heterogeneous or changing habitats. In this paper, we investigate the effect of the habitat quality and the dispersal on the neutral genetics diversity of a metapopulation. We model the metapopulation dynamics on heterogeneous habitats using a deterministic system of ordinary differential equations. We decompose the metapopulation into several neutral genetic fractions seeing as they could be located in different habitats. By using a mathematical model which describes their temporal dynamics inside the metapopulation, we provide the analytical results of their transient dynamics, as well as their asymptotic proportion in the different habitats. The diversity indices show how the genetic diversity at a global metapopulation scale is preserved by the correlation of two factors: the dispersal of the population, as well as the existence of adequate and sufficiently large habitats. The diversity indices show how the genetic diversity at a global metapopulation scale is preserved by the correlation of two factors: the dispersal of the population as well as the existence of adequate and sufficiently large habitats. Moreover, they ensure genetic diversity at the local habitat scale. In a source-sink metapopulation, we demonstrate that the diversity of the sink can be rescued if the condition of the sink is not too deteriorated and the migration from the source is larger than the migration from the sink. Furthermore, our study provides an analytical insight into the dynamics of the solutions of the systems of ordinary differential equations.
扩散是一个复群在异质或变化的栖息地中生存的基本和关键的生态过程。在本文中，我们研究了栖息地质量和扩散对复群中性遗传多样性的影响。我们使用确定性常微分方程组来模拟异质栖息地上的复群动态。我们将复群分解为几个中性遗传部分，因为它们可能位于不同的栖息地。通过使用描述它们在复群内部的时间动态的数学模型，我们提供了它们的瞬态动态以及它们在不同栖息地中的渐近比例的分析结果。多样性指数表明，通过两个因素的相关性，即种群的扩散以及足够大和充足的栖息地的存在，如何在全球复群规模上保存遗传多样性。多样性指数表明，通过两个因素的相关性，即种群的扩散以及足够大和充足的栖息地的存在，如何在全球复群规模上保存遗传多样性。此外，它们确保了局部栖息地规模上的遗传多样性。在源汇复群中，如果汇的条件不是太恶化，并且来自源的迁移大于来自汇的迁移，则可以挽救汇的多样性。此外，我们的研究为常微分方程组的解的动态提供了分析见解。
