?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fmpra.ub.uni-muenchen.de%2F6848%2F&rft.title=A+new+information+theoretical+measure+of+global+and+local+spatial+association&rft.creator=Karlstr%C3%B6m%2C+Anders&rft.creator=Ceccato%2C+Vania&rft.subject=R10+-+General&rft.subject=R14+-+Land+Use+Patterns&rft.description=In+this+paper+a+new+measure+of+spatial+association%2C+the+S+statistics%2C+is+developed.+The+proposed+measure+is+based+on+information+theory+by+defining+a+spatially+weighted+information+measure+(entropy+measure)+that+takes+the+spatial+configuration+into+account.+The+proposed+S-statistics+has+an+intuitive+interpretation%2C+and+furthermore+fulfills+properties+that+are+expected+from+an+entropy+measure.+Moreover%2C+the+S+statistics+is+a+global+measure+of+spatial+association+that+can+be+decomposed+into+Local+Indicators+of+Spatial+Association+(LISA).+This+new+measure+is+tested+using+a+dataset+of+employment+in+the+culture+sector+that+was+attached+to+the+wards+over+Stockholm+County+and+later+compared+with+the+results+from+current+global+and+local+measures+of+spatial+association.+It+is+shown+that+the+proposed+S+statistics+share+many+properties+with+Moran's+I+and+Getis-Ord+Gi+statistics.++The+local+Si+statistics+showed+significant+spatial+association+similar+to+the+Gi+statistic%2C+but+has+the+advantage+of+being+possible+to+aggregate+to+a+global+measure+of+spatial+association.+The+statistics+can+also+be+extended+to+bivariate+distributions.+It+is+shown+that+the+commonly+used+Bayesian+empirical+approach+can+be+interpreted+as+a+Kullback-Leibler+divergence+measure.%0A%0AAn+advantage+of+S-statistics+is+that+this+measure+select+only+the+most+robust+clusters%2C+eliminating+the+contribution+of+smaller+ones+composed+by+few+observations+and+that+may+inflate+the+global+measure.&rft.date=2000-08&rft.type=MPRA+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=https%3A%2F%2Fmpra.ub.uni-muenchen.de%2F6848%2F1%2FMPRA_paper_6848.pdf&rft.identifier=++Karlstr%C3%B6m%2C+Anders+and+Ceccato%2C+Vania++(2000)%3A+A+new+information+theoretical+measure+of+global+and+local+spatial+association.++Published+in%3A+The+Review+of+Regional+Research+(Jahrbuch+f%C3%BCr+Regionalwissenschaf)+%2C+Vol.+22%2C+++(2002)%3A+pp.+13-40.++&rft.language=en