用成分数据方法进行移民研究：丹麦首都地区人口结构的案例研究
Migration studies with a Compositional Data approach: a case study of population structure in the Capital Region of Denmark
摘要：
在人口地理学中，消除人口密度影响的数据标准化是一个常见的过程，可能会带来未察觉的风险。在这方面，数据被限制为常数和，因此它们不是独立的观测值，这是应用标准多元统计工具的基本要求。成分数据（CoDa）技术被开发用于解决标准统计工具在接近数据（即，伪相关性、范围外的预测和子成分不一致性），但它们在该领域中仍然不常用。因此，我们提出了在这篇文章中的一个案例研究，我们分析在教区一级的丹麦人，西方移民和非西方移民在丹麦首都地区的空间分布。通过应用CoDa技术，我们已经能够确定该地区的空间人口隔离，我们已经认识到一些模式，可用于解释房价的变化。我们的练习是CoDa技术潜力的一个基本例子，它比标准统计程序产生更强大和可靠的结果，但它可以推广到其他具有更复杂结构的人口数据集。
英文摘要：
Data normalization for removing the influence of population density in Population Geography is a common procedure that may come with an unperceived risk. In this regard, data are constrained to a constant sum and they are therefore not independent observations, a fundamental requirement for applying standard multivariate statistical tools. Compositional Data (CoDa) techniques were developed to solve the issues that the standard statistical tools have with close data (i.e., spurious correlations, predictions outside the range, and sub-compositional incoherence) but they are still not commonly used in the field. Hence, we present in this article a case study where we analyse at parish level the spatial distribution of Danes, Western migrants and non-Western migrants in the Capital region of Denmark. By applying CoDa techniques, we have been able to identify the spatial population segregation in the area and we have recognized some patterns that can be used for interpreting housing prices variations. Our exercise is a basic example of the potential of CoDa techniques, which generate more robust and reliable results than standard statistical procedures, but it can be generalized to other population datasets with more complex structures.
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