地理科学进展 ›› 2015, Vol. 34 ›› Issue (3): 321-329.doi: 10.11820/dlkxjz.2015.03.007
陈彦光
收稿日期:
2014-10-01
修回日期:
2015-02-01
出版日期:
2015-03-25
发布日期:
2015-03-25
作者简介:
作者简介:陈彦光(1965-),男,河南罗山人,博士,教授,主要从事城市和理论地理学研究,E-mail:
基金资助:
Yanguang CHEN
Received:
2014-10-01
Revised:
2015-02-01
Online:
2015-03-25
Published:
2015-03-25
摘要:
地理分布的数学建模是空间分析的基本途径之一,但空间维度建模素为科学研究的难题。由于数学新方法的发展和复杂性研究的兴起,地理空间建模的一些传统困难有望解决。本文通过两类地理分布的对比分析,论述地理建模的关键在于简单分布的特征尺度和复杂分布的标度。地理分布包括空间分布和规模分布,其本质均为概率分布和广义的数学空间分布,而概率分布可以分为简单分布和复杂分布。简单分布具有特征尺度,平均值有效,概率结构清楚;复杂分布没有特征尺度,平均值无效,概率结构不明确。对于简单分布,应该采用有尺度分布函数开展尺度分析;对于复杂分布,理当采用无尺度分布函数开展标度分析。分形几何学、异速生长理论和无尺度网络理论都是复杂系统分析的定量方法,这些方法的综合集成,可望为地理分布建模和地理系统的空间分析提供有效的数理工具。
陈彦光. 简单、复杂与地理分布模型的选择[J]. 地理科学进展, 2015, 34(3): 321-329.
Yanguang CHEN. Simplicity, complexity, and mathematical modeling of geographical distributions[J]. PROGRESS IN GEOGRAPHY, 2015, 34(3): 321-329.
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