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Noise and determinism in synchronized sheep dynamics

机译:同步绵羊动力学中的噪声和确定性

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A major debate in ecology concerns the relative importance of intrinsic factors and extrinsic environmental variations in determining population size fluctuations. Spatial correlation of fluctuations in different populations caused by synchronous environmental shocks is a powerful tool for quantifying the impact of environmental variations on population dynamics. However, interpretation of synchrony is often complicated by migration between populations. Here we address this issue by using time series from sheep populations on two islands in the St Kilda archipelago. Fluctuations in the sizes of the two populations are remarkably synchronized over a 40-year period. A nonlinear time-series model shows that a high and frequent degree of environmental correlation is required to achieve this level of synchrony. The model indicates that if there were less environmental correlation, population dynamics would be much less synchronous than is observed. This is because of a threshold effect that is dependent on population size; the threshold magnifies random differences between populations. A refined model shows that part of the required environmental synchronicity can be accounted for by large-scale weather variations. These results underline the importance of understanding the interaction between intrinsic and extrinsic influences on population dynamics.
机译:生态学的一个主要争论涉及内在因素和外部环境变化在确定种群规模波动方面的相对重要性。由同步环境冲击引起的不同人口波动的空间相关性,是量化环境变化对人口动态影响的有力工具。然而,人口之间的迁移常常使对同步的解释变得复杂。在这里,我们通过使用圣基尔达群岛两个岛上绵羊种群的时间序列来解决这个问题。在40年的时间里,两个人口规模的波动显着同步。非线性时间序列模型表明,需要高度频繁的环境相关性才能达到这种同步水平。该模型表明,如果环境相关性较小,则种群动态的同步性将比观察到的要差得多。这是由于阈值效应取决于人口规模。该阈值放大了种群之间的随机差异。完善的模型表明,所需的部分环境同步性可以通过大规模的天气变化来解决。这些结果强调了理解内在影响与外在影响对人口动态的相互作用的重要性。

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