Spatial Analysis in Population Biology

使用模拟以及真实的数据集，我们将检查与人口生物学中众多主题相关的空间模型的方法和理论方面。我们的方法侧重于基因频率表面的检查，空间自相关分析，以及曼特尔测试的推广。我们将研究四个不同的主题。1)从基因频率和其他表面推断种群生物学。2)种群生物兴趣零假设下空间自相关测度分布的理论研究。3)边界检测和检测边界的显著性检验。4)生物距离矩阵与代表特定替代假设的设计矩阵的检验。在每个主题下都计划了几个单独的研究问题。这些努力的结果将极大地促进从模式到过程的推断，以解决人口生物学中各种各样的问题。//

Using simulated as well as real datasets we shall examine methodological and theoretical aspects of spatial models relevant to numerous topics in population biology. Our approach focuses on examination of gene-frequency surfaces, spatial autoocorrelation analysis, and generalizations of the Mantel test. We shall examine four separate topics. 1) Population biological inferences from gene-frequency and other surfaces. 2) Theoretical investigations of distributions of measures of spatial autocurrelation under null hypotheses of population biological interest. 3) Boundary detection and significance testing of detected boundaries. 4) Testing of biological distance matrices against design matrices representing specific alternative hypotheses. Under each of these topics several individual research problems are planned. The results of these endeavors will greatly facilitate inferences from patterns to process in a wide variety of problems in population biology.//