تقرير
Maximizing Metapopulation Growth Rate and Biomass in Stream Networks
| العنوان: | Maximizing Metapopulation Growth Rate and Biomass in Stream Networks |
|---|---|
| المؤلفون: | Nguyen, Tung D., Wu, Yixiang, Veprauskas, Amy, Tang, Tingting, Zhou, Ying, Beckford, Charlotte, Chau, Brian, Chen, Xiaoyun, Rouhani, Behzad Djafari, Wu, Yuerong, Yang, Yang, Shuai, Zhisheng |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 92D25, 92D40, 34C11 |
| الوصف: | 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. Comment: 24 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2209.11884 |
| رقم الأكسشن: | edsarx.2209.11884 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |