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arXiv 1503.08692stat.AP
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具有空间点过程相互作用的动物运动动力学模型

Dynamic Models of Animal Movement with Spatial Point Process Interactions

James C. Russell, Ephraim M. Hanks, Murali Haran

摘要:

在分析动物运动时,重要的是要考虑个体之间的相互作用。然而,用于在运动模型中结合交互行为的统计模型是有限的。我们提出了一种方法,模型相关的运动,通过增加一个动态的边缘运动模型与空间点过程的相互作用函数内的加权分布框架。该方法是灵活的,因为边缘运动行为和交互行为可以独立建模。难以处理的归一化常数使模型参数的推断变得复杂。我们发展了一个双梅特罗波利斯-黑斯廷斯算法来执行贝叶斯推断。我们通过对孔雀鱼(Poecilia reticulata)运动轨迹的分析来说明我们的方法

英文摘要:

When analyzing animal movement, it is important to account for interactions between individuals. However, statistical models for incorporating interaction behavior in movement models are limited. We propose an approach that models dependent movement by augmenting a dynamic marginal movement model with a spatial point process interaction function within a weighted distribution framework. The approach is flexible, as marginal movement behavior and interaction behavior can be modeled independently. Inference for model parameters is complicated by intractable normalizing constants. We develop a double Metropolis-Hastings algorithm to perform Bayesian inference. We illustrate our approach through the analysis of movement tracks of guppies (Poecilia reticulata)

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