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Statistical properties of Markov chain in land use and landscape study

WU Qiong1,2;WANG Rusong1;LI Hongqing2;Juergen Paulussen1;HE Yong3;WANG Bihui3   

  1. 1Key Laboratory of Systems Ecology,Research Center for Eco-Environmental Sciences,Chinese Academy of Sciences,Beijing 100085,China; 2College of Geo-Exploration Science and Technology,Jilin University,Changchun 130026,China;3Beijing Academy of Urban Planning & Design,Beijing 100045,China

  • Received:2005-03-10 Revised:2005-07-13 Online:2006-03-18 Published:2006-03-18

Abstract: Markov chain has been widely applied in the study of land use and landscape changes,but its statistical properties were less tested.Based on the land use change data monitored in Beijing,and with Pearson χ2 goodnessoffit test,this paper examined the time stability and time independence of Markov chain of land use change.The results indicated that the hypothesis of time stationary and Markov property is not tenable,which meant that the land use change in Beijing was an un-stationary and highly order Markov chain.Pearson χ2 test was not as restricted as the likelihood ratio test,its transitional probabilities being allowed to be greater than zero,and thus,could be more useful in testing the assumption of homogeneity and independence.