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A Spatial Optimization Model for Delineating Housing Market Areas

  • Journal of the Korean Cartographic Association
  • Abbr : JKCA
  • 2016, 16(1), pp.53-65
  • DOI : 10.16879/jkca.2016.16.1.053
  • Publisher : The Korean Cartographic Association
  • Research Area : Social Science > Geography > Geography in general > Cartography
  • Published : April 30, 2016

Kamyoung Kim 1

1경북대학교

Accredited

ABSTRACT

Housing market area (HMA) is a concept to reflect the spatiality of housing markets which are locally operated. Delineating HMA is required in order to analyze the dynamics of housing markets and to establish systematic plans for supply and demand of houses. The purpose of this study is to develop a spatial optimization model for delineating HMA in terms of mixed integer programming (MIP). The most important criterion for delineating HMA is the self-containment which means the internal cohesion of HMA delimited. In the MIP model, global self-containment evaluated for all delineated HMAs is considered as an objective function and local self-containment for individual HMA is considered as constraints. The developed MIP model was applied to migration between GUs of Seoul. 3 HMAs were delineated when supply-side and demand-side self-containments are 0.70 and 4 HMAs when both values are 0.65. MIP results were compared with those of Intramax. First, in MIP approach, HMAs were not organized hierarchically in contrast to the results of Intramax. Second, while Intramax found local optima, MIP approach always found the global optima when feasible solutions exist. Third, maximizing the global self-containment does not guarantee the improvement of local self-containment in all HMAs. These findings demonstrate that MIP approach is necessary to more clearly understand the structure of HMAs and Intramax as a HMA delineation approach has a clear limitation.

Citation status

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This paper was written with support from the National Research Foundation of Korea.