Finley Andrew O, Banerjee Sudipto, Carlin Bradley P
Department of Forest Resources, University of Minnesota, 1530 Cleveland Ave. N., St. Paul, MN 55108, United States of America,
J Stat Softw. 2007 Apr;19(4):1-24. doi: 10.18637/jss.v019.i04.
Scientists and investigators in such diverse fields as geological and environmental sciences, ecology, forestry, disease mapping, and economics often encounter spatially referenced data collected over a fixed set of locations with coordinates (latitude-longitude, Easting-Northing etc.) in a region of study. Such point-referenced or geostatistical data are often best analyzed with Bayesian hierarchical models. Unfortunately, fitting such models involves computationally intensive Markov chain Monte Carlo (MCMC) methods whose efficiency depends upon the specific problem at hand. This requires extensive coding on the part of the user and the situation is not helped by the lack of available software for such algorithms. Here, we introduce a statistical software package, spBayes, built upon the R statistical computing platform that implements a generalized template encompassing a wide variety of Gaussian spatial process models for univariate as well as multivariate point-referenced data. We discuss the algorithms behind our package and illustrate its use with a synthetic and real data example.
地质与环境科学、生态学、林业、疾病制图以及经济学等不同领域的科学家和研究人员,在研究区域内经常会遇到通过一组固定位置(具有坐标,如纬度-经度、东向-北向等)收集的空间参考数据。这类点参考或地理统计数据通常使用贝叶斯层次模型进行最佳分析。不幸的是,拟合这类模型涉及计算密集型的马尔可夫链蒙特卡罗(MCMC)方法,其效率取决于手头的具体问题。这需要用户进行大量编码,而且由于缺乏用于此类算法的可用软件,情况并未得到改善。在此,我们介绍一个基于R统计计算平台构建的统计软件包spBayes,它实现了一个广义模板,涵盖了用于单变量以及多变量点参考数据的各种高斯空间过程模型。我们讨论了该软件包背后的算法,并通过一个合成数据和真实数据示例来说明其用法。