远程驻留和远程感知如何改变遭遇率
How range residency and long-range perception change encounter rates
摘要:
相遇率将运动策略与种内和种间的相互作用联系起来,从而将个体运动行为转化为更高层次的生态过程。事实上,大量的相互作用种群理论都是基于质量作用定律,而质量作用定律可以从封闭容器中的布朗运动假设推导出来,只有局部感知。这些假设意味着完全统一的空间使用,个人的家庭范围相当于人口的范围,并遇到依赖于移动路径实际交叉。然而,越来越多的经验证据表明,动物使用空间不均匀,占据的家庭范围大大小于人口范围,往往能够非本地的看法。在这里,我们探讨这些经验支持的行为如何改变成对的遭遇率。具体来说,我们推导出新的解析表达式下的遭遇率Ornstein-Uhlenbeck运动,其特点是非均匀的空间使用,并允许个人的家庭范围,以不同的人口范围。我们比较OU为基础的遭遇预测的反射布朗运动,从中可以推导出质量作用定律。对于这两个模型,我们进一步探讨如何感知和家庭范围大小的规模之间的相互作用影响相遇率。我们发现,忽略现实的运动和感知行为可以系统地偏见的遭遇率预测。
英文摘要:
Encounter rates link movement strategies to intra- and inter-specific interactions, and therefore translate individual movement behavior into higher-level ecological processes. Indeed, a large body of interacting population theory rests on the law of mass action, which can be derived from assumptions of Brownian motion in an enclosed container with exclusively local perception. These assumptions imply completely uniform space use, individual home ranges equivalent to the population range, and encounter dependent on movement paths actually crossing. Mounting empirical evidence, however, suggests that animals use space non-uniformly, occupy home ranges substantially smaller than the population range, and are often capable of nonlocal perception. Here, we explore how these empirically supported behaviors change pairwise encounter rates. Specifically, we derive novel analytical expressions for encounter rates under Ornstein-Uhlenbeck motion, which features non-uniform space use and allows individual home ranges to differ from the population range. We compare OU-based encounter predictions to those of Reflected Brownian Motion, from which the law of mass action can be derived. For both models, we further explore how the interplay between the scale of perception and home range size affects encounter rates. We find that neglecting realistic movement and perceptual behaviors can systematically bias encounter rate predictions.
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