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首页> 外文期刊>Mathematical Biosciences: An International Journal >Test of mathematical assumptions behind the 'incidence function' estimation process of metapopulations' dynamic parameters
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Test of mathematical assumptions behind the 'incidence function' estimation process of metapopulations' dynamic parameters

机译:测试人口动态参数“事件函数”估计过程背后的数学假设

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摘要

I question Hanski's [I. Hanski, A practical model of metapopulation dynamics, J. Animal Ecol. 63 (1994) 151] assumption that incidence functions are relevant approximations of the equilibrium dynamics of stochastic metapopulation models to estimate models' parameters based on snapshot data. Based on ten different metapopulation models, this assumption is found to be at least partly unjustified when referring to the asymptotic behaviour of the models. This leads me to recommend the use of explicit extinction-colonization transition probabilities and process data (rather than snapshot data) in the estimation process of metapopulation models.
机译:我质疑汉斯基的[I.汉斯基(Janski,J. Animal Ecol。 63(1994)151]假设入射函数是随机亚种群模型平衡动力学的相关近似值,以便根据快照数据估计模型的参数。基于十个不同的种群模型,当提到模型的渐近行为时,发现该假设至少部分是不合理的。因此,我建议在估计人口模型的过程中,使用明确的灭绝-定殖过渡概率和过程数据(而不是快照数据)。

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