Maximizing Metapopulation Growth Rate and Biomass in Stream Networks
Maximizing Metapopulation Growth Rate and Biomass in Stream Networks
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DOI：
10.1137/23m1556757
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发表时间：
2022-09
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通讯作者：
Tung D. Nguyen;Yixiang Wu;A. Veprauskas;T. Tang;Ying Zhou;C. Beckford;B. Chau;Xiao-Yong Chen;Behzad Djafari Rouhani;Yuehua Wu;Yang Yang-Yang;Zhisheng Shuai
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作者：
Tung D. Nguyen;Yixiang Wu;A. Veprauskas;T. Tang;Ying Zhou;C. Beckford;B. Chau;Xiao-Yong Chen;Behzad Djafari Rouhani;Yuehua Wu;Yang Yang-Yang;Zhisheng Shuai
我们认为在流网络的逻辑集合种群模型，并使用集合种群的增长率和总生物量（正平衡）作为人口持久性的不同方面的指标。我们的目标是找到最大化这些持久性措施的资源分布。我们开始我们的研究，考虑流网络组成的三个节点，并证明了战略，以最大限度地提高总生物量是集中在最上游的位置的所有资源。相反，当扩散率足够小时，集合种群的增长率最大化时，所有的资源都集中在一个最下游的位置。这两个主要结果被推广到流网络与任何数量的补丁。
We consider the logistic metapopulation model over a stream network and use the metapopulation growth rate and the total biomass (of the positive equilibrium) as metrics for different aspects of population persistence. Our objective is to find distributions of resources that maximize these persistence measures. We begin our study by considering stream networks consisting of three nodes and prove that the strategy to maximize the total biomass is to concentrate all the resources in the most upstream locations. In contrast, when the diffusion rates are sufficiently small, the metapopulation growth rate is maximized when all resources are concentrated in one of the most downstream locations. These two main results are generalized to stream networks with any number of patches.