论文标题
空间分层异质数据的统计数据
Statistics for Spatially Stratified Heterogeneous Data
论文作者
论文摘要
空间统计数据以空间自相关(SAC)为基础(基于SAC)的KRIGING和BHM,以及基于空间的本地异质性热点和地理回归方法,分别评估为地理的第一和第二定律(Tobler 1970; Goodchild 2004)。空间分层的异质性(SSH),分区的现象是,地层内的分区现象比地层之间更相似,例子是气候区域和土地使用类别和遥感分类,并且在地理上很普遍,并且自古希腊语以来就被理解了,因为古希腊语(古希腊语)在空间统计中被惊人地忽略了,这可能是由于存在数百群校准algorith的存在。在本文中,我们超越了分类,并透露SSH是样本偏见,统计偏差,建模混淆和误导性CI的来源,并建议强大的解决方案以克服负面影响。同时,我们从SSH中详细阐述了四个好处:创建相同的PDF或等同于层中随机采样的益处;地层中的空间模式,地层之间的边界是非线性因果关系的特定信息;通过覆盖两个空间模式来进行一般相互作用。我们开发了SSH的方程式并讨论其背景。全面的调查提出了SSH的统计数据,并提出了空间统计中的新原则和工具箱。
Spatial statistics is dominated by spatial autocorrelation (SAC) based Kriging and BHM, and spatial local heterogeneity based hotspots and geographical regression methods, appraised as the first and second laws of Geography (Tobler 1970; Goodchild 2004), respectively. Spatial stratified heterogeneity (SSH), the phenomena of a partition that within strata is more similar than between strata, examples are climate zones and landuse classes and remote sensing classification, is prevalent in geography and understood since ancient Greek, is surprisingly neglected in Spatial Statistics, probably due to the existence of hundreds of classification algorithms. In this article, we go beyond the classifications and disclose that SSH is the sources of sample bias, statistic bias, modelling confounding and misleading CI, and recommend robust solutions to overcome the negativity. In the meantime, we elaborate four benefits from SSH: creating identical PDF or equivalent to random sampling in stratum; the spatial pattern in strata, the borders between strata as a specific information for nonlinear causation; and general interaction by overlaying two spatial patterns. We developed the equation of SSH and discuss its context. The comprehensive investigation formulates the statistics for SSH, presenting a new principle and toolbox in spatial statistics.