• Title/Summary/Keyword: randomly weighted sum

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Effects of the Modifiable Areal Unit Problem (MAUP) on a Spatial Interaction Model (공간 상호작용 모델에 대한 공간단위 수정가능성 문제(MAUP)의 영향)

  • Kim, Kam-Young
    • Journal of the Korean Geographical Society
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    • v.46 no.2
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    • pp.197-211
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    • 2011
  • Due to the complexity of spatial interaction and the necessity of spatial representation and modeling, aggregation of spatial interaction data is indispensible. Given this, the purpose of this paper is to evaluate the effects of modifiable areal unit problem (MAUP) on a spatial interaction model. Four aggregation schemes are utilized at eight different scales: 1) randomly select seeds of district and then allocate basic spatial units to them, 2) minimize the sum of population weighted distance within a district, 3) maximize the proportion of flow within a district, and 4) minimize the proportion of flow within a district. A simple Poisson regression model with origin and destination constraints is utilized. Analysis results demonstrate that spatial characteristics of residuals, parameter values, and goodness-of-fit of the model were influenced by aggregation scale and schemes. Overall, the model responded more sensitively to aggregation scale than aggregation schemes and the scale effect on the model was varied according to aggregation schemes.