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arXiv 2201.09683q-bio.PEphysics.bio-ph
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空间群落网络稳定性的空间尺度和生态尺度

Spatial and Ecological Scaling of Stability in Spatial Community Networks

Javier Jarillo, Francisco J. Cao-García, Frederik De Laender

摘要:

在空间和生态网络中,有许多尺度可以量化稳定性。局部尺度分析侧重于空间网络的特定节点,而区域尺度分析则考虑整个网络。同样,物种和群落一级的分析要么说明单个物种,要么说明整个群落。此外,稳定性本身可以用多种方式定义,包括抵抗力(扰动引起的相对位移的倒数),初始恢复力(扰动后的回报率)和不变性(人口波动相对幅度的倒数)。在这里,我们分析这些稳定性的尺度依赖性。更具体地说,我们问空间尺度(本地与区域)和生态尺度(物种与社区)如何影响这些稳定性。我们发现,区域初始恢复力是当地的初始恢复力的加权算术平均值。区域电阻是局部电阻的调和平均值,这使得区域电阻特别容易受到低稳定性节点的影响,这与区域初始弹性不同。类似的结果之间的关系,社区和物种水平的初始弹性和阻力。抵抗力和初始复原力都是“无标度”的特性:区域和社区价值只是当地和物种价值的生物量加权平均值。因此,人们可以很容易地估计整个网络的稳定性度量从部分采样。相比之下,区域和社区层面的不变性通常分别大于地方和物种层面。因此,估计的不变性的空间或生态网络的测量在当地或物种的水平是比较复杂的,需要一个公正的估计网络(即区域或社区)的大小。

英文摘要:

There are many scales at which to quantify stability in spatial and ecological networks. Local-scale analyses focus on specific nodes of the spatial network, while regional-scale analyses consider the whole network. Similarly, species- and community-level analyses either account for single species or for the whole community. Furthermore, stability itself can be defined in multiple ways, including resistance (the inverse of the relative displacement caused by a perturbation), initial resilience (the rate of return after a perturbation), and invariability (the inverse of the relative amplitude of the population fluctuations). Here, we analyze the scale-dependence of these stability properties. More specifically, we ask how spatial scale (local vs regional) and ecological scale (species vs community) influence these stability properties. We find that regional initial resilience is the weighted arithmetic mean of the local initial resiliences. The regional resistance is the harmonic mean of local resistances, which makes regional resistance particularly vulnerable to nodes with low stability, unlike regional initial resilience. Analogous results hold for the relationship between community- and species-level initial resilience and resistance. Both resistance and initial resilience are ``scale-free'' properties: regional and community values are simply the biomass-weighted means of the local and species values, respectively. Thus, one can easily estimate both stability metrics of whole networks from partial sampling. In contrast, invariability generally is greater at the regional and community-level than at the local and species-level, respectively. Hence, estimating the invariability of spatial or ecological networks from measurements at the local or species level is more complicated, requiring an unbiased estimate of the network (i.e. region or community) size.

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