Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Movement Ecology Lab, Department of Ecology, Evolution and Behavior, Alexander Silberman Institute of Life Sciences, Faculty of Science, The Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Phys Rev Lett. 2022 Apr 8;128(14):148301. doi: 10.1103/PhysRevLett.128.148301.
We study a non-Markovian and nonstationary model of animal mobility incorporating both exploration and memory in the form of preferential returns. Exact results for the probability of visiting a given number of sites are derived and a practical WKB approximation to treat the nonstationary problem is developed. A mean-field version of this model, first suggested by Song et al., [Modelling the scaling properties of human mobility, Nat. Phys. 6, 818 (2010)NPAHAX1745-247310.1038/nphys1760] was shown to well describe human movement data. We show that our generalized model adequately describes empirical movement data of Egyptian fruit bats (Rousettus aegyptiacus) when accounting for interindividual variation in the population. We also study the probability of visiting any site a given number of times and derive a mean-field equation. Our analysis yields a remarkable phase transition occurring at preferential returns which scale linearly with past visits. Following empirical evidence, we suggest that this phase transition reflects a trade-off between extensive and intensive foraging modes.
我们研究了一种非马尔可夫和非平稳的动物移动模型，该模型以优先返回的形式结合了探索和记忆。我们推导出了访问给定数量站点的概率的精确结果，并开发了一种实用的 WKB 近似来处理非平稳问题。Song 等人首次提出的这个模型的一个平均场版本[Modeling the scaling properties of human mobility, Nat. Phys. 6, 818 (2010)NPAHAX1745-247310.1038/nphys1760]很好地描述了人类的运动数据。我们表明，当考虑到种群中个体间的差异时，我们的广义模型可以很好地描述埃及果蝠（Rousettus aegyptiacus）的实际运动数据。我们还研究了访问任意站点给定次数的概率，并推导出了一个平均场方程。我们的分析得出了一个显著的相变，该相变发生在与过去访问线性相关的优先返回处。根据经验证据，我们认为这种相变反映了广泛和集约觅食模式之间的权衡。
