反应扩散是否支持碎裂效应的二重性？
Does reaction-diffusion support the duality of fragmentation effect?
摘要：
关于生境破碎化本身的影响，单物种模型预测和实证研究之间存在差距，即，一个涉及栖息地分裂而不丧失栖息地的过程。实证研究表明，破碎化可以有积极的影响，以及消极的影响，而传统上，单物种模型预测破碎化的负面影响。在一类反应扩散模型中，研究几乎一致地预测了这种不利影响。在本文中，考虑一个单物种的反应扩散模型的去除-或类似的收获-长期，在两个维度上，我们发现了积极和消极的影响，破碎的储备，即保护区，没有删除发生。破碎的储备导致更高的总体规模的时间常数删除条款。另一方面，当移除项与种群密度成比例时，在聚集储量上获得较高的总体规模，但在分散配置和中等采伐强度下获得最大产量。
英文摘要：
There is a gap between single-species model predictions, and empirical studies, regarding the effect of habitat fragmentation per se, i.e., a process involving the breaking apart of habitat without loss of habitat. Empirical works indicate that fragmentation can have positive as well as negative effects, whereas, traditionally, single-species models predict a negative effect of fragmentation. Within the class of reaction-diffusion models, studies almost unanimously predict such a detrimental effect. In this paper, considering a single-species reaction-diffusion model with a removal -- or similarly harvesting -- term, in two dimensions, we find both positive and negative effects of fragmentation of the reserves, i.e. the protected regions where no removal occurs. Fragmented reserves lead to higher population sizes for time-constant removal terms. On the other hand, when the removal term is proportional to the population density, higher population sizes are obtained on aggregated reserves, but maximum yields are attained on fragmented configurations, and for intermediate harvesting intensities.
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