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CPS1409 Rahma F.

                                 Physical vs economic distance, the defining
                              spatial autocorrelation of Per Capita GDP among
                                        38 cities/regencies in East Java
                                                 Rahma Fitriani
                             Department of Statistics, University of Brawijaya Malang, Indonesia

                  Abstract
                  The interdependence of economic activity among nearby regions has been an
                  issue  which  also  takes  place  among  cities/regencies  of  East  Java.  This
                  phenomenon has also known as spatial interaction. Its significance depends
                  on  the  chosen  distance  to  define  the  neighboring  regions.  When  the
                  phenomenon understudy is economic productivity, it is reasonable to use an
                  economic based distance, instead of the geographical distance between
                  two  regions.  The  objective  of  this  study  is  to  show  that  different  distance
                  concepts  of  forming  a  neighboring  cities/regencies  in  East  Java  leads  to
                  different  strength  of  spatial  interaction  of  the  economic  productivity  (per
                  capita  GDP).  Both  geographic  and  economic  based  distances  are  used  to
                  define the k nearest neighbors. It also defines neighbors within a specified
                  radius  of  geographical  distance.  The  strength  of  the  spatial  interaction  is
                  indicated by the significance of the spatial auto orrelation of the GDP among
                  the neighboring cities/regencies, based on the Moran’s I test. The result shows
                  that there is no significant spatial autocorrelation of the per capita GDP among
                  the k nearest neighbors economically and geographically. However, the strong
                  spatial  autocorrelation  presents  among  the  cities/regencies  within  125  km
                  radius,  an  average  distance  between  cities/regencies  in  East  Java.  The
                  cities/regencies  within  that  geographical  distance  are  the  cities/regencies
                  which have the shortest economic distance.

                  Keywords
                  Economic cost; spatial autocorrelation; Moran I; nearest neighbours; economic
                  distance

                  1.  Introduction
                      The  interdependence  of  economic  activity  among  nearby  regions  has
                  invited more attention (Fingleton and López-Bazo 2006; Ertur and Koch 2007;
                  Tian,  Wang  et  al.  2010).  Similar  geographic  conditions,  the  advance  of
                  transportation and communication technology, are assumed as the trigger of
                  the interdependence. Motivated by this issue, recent studies regarding local
                  economic  productivity  must  include  the  effect  of  neighboring  economic
                  activity. East Java is one of the provinces in Indonesia which has experienced
                  strong  economic  growth.  It  reaches  the  above  national  level  of  economic


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