摘要
在地理空间分析过程中,如何有效综合利用数学方法也是一种重要的方法问题.以河南省鹤壁市人口的空间流动为例,完成一个地理空间相互作用模型、Markov链和线性规划分析综合运用的实例:借助线性规划分析给出当前人口的合理分布,利用空间相互作用模型计算人口流动的合理格局,运用Markov链预测未来人口流动的趋势.这一套分析方法可以推广到其他区域和城市.在此基础上,提出了地理数学方法组群的概念,建议发展地理研究方法中的集成分析模式.在具体的方法应用上,也进行了一些创新尝试,例如根据地区经济发展水平估算该区域的合理人口,以此作为空间相互作用模型的到达数量.
A hybrid mathematical method is proposed to study geographical systems. Spatial interaction model, Markov chain and linear programming are integrated to analyze and predict population migration in an urban region. The City of Hebi in Henan Province, China, is taken as an example, and a study case is made as follows. In the first place, the gravity model of spatial interaction is used to compute the migration and allocation of population in different sub-regions （districts） in terms of industrial development. Then Markov chain is employed to predict movement and transfer of population. Finally, linear programming is used to calculate the optimal arrangement and disposition of population. In this way, the spatial interaction model, Markov chain and linear programming form a hybrid model of population migration. Further, an integrated mode of geo-mathematical methods is proposed for future geographical spatial analysis.
出处
《信阳师范学院学报（自然科学版）》
CAS
2009年第2期216-221,共6页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家科技部科技基础工作专项重点资助项目"地理学方法研究(2007FY140800)"的综合集成部分
关键词
空间相互作用
引力模型
人口迁移
MARKOV链
线性规划
地理研究方法
鹤壁市
spatial interaction
gravity model
population migration
markov model
linear programming
geographical research method
The City of Hebi, Henan
