Zhang Wenyang, Yao Qiwei, Tong Howell, Stenseth Nils Chr
Institute of Mathematics and Statistics, University of Kent, Canterbury, Kent CT2 7NF, UK.
Biometrics. 2003 Dec;59(4):813-21. doi: 10.1111/j.0006-341x.2003.00095.x.
For a set of spatially dependent dynamical models, we propose a method for estimating parameters that control temporal dynamics by spatial smoothing. The new approach is particularly relevant for analyzing spatially distributed panels of short time series. The asymptotic results show that spatial smoothing will improve the estimation in the presence of nugget effect, even when the sample size in each location is large. The proposed methodology is used to analyze the annual mink and muskrat data collected in a period of 25 years in 81 Canadian locations. Based on the proposed method, we are able to model the temporal dynamics which reflects the food chain interaction of the two species.
对于一组空间相关的动力学模型，我们提出了一种通过空间平滑来估计控制时间动态的参数的方法。这种新方法对于分析短时间序列的空间分布面板尤为重要。渐近结果表明，即使每个位置的样本量很大，在存在块金效应的情况下，空间平滑也会改善估计效果。所提出的方法用于分析在25年期间从加拿大81个地点收集的年度水貂和麝鼠数据。基于所提出的方法，我们能够对反映这两个物种食物链相互作用的时间动态进行建模。
