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An Empirical Study on the Spatial Effect of Distribution Patterns between Small Business and Social-environmental factors

소상공인 점포의 분포와 환경요인의 공간적 영향관계에 관한 실증연구

  • YOO, Mu-Sang (Space and Environment Laboratory, Chungnam Institute) ;
  • CHOI, Don-Jeong (Space and Environment Laboratory, Chungnam Institute)
  • 유무상 (충남연구원 공간환경연구실) ;
  • 최돈정 (충남연구원 공간환경연구실)
  • Received : 2019.02.11
  • Accepted : 2019.03.14
  • Published : 2019.03.31

Abstract

This research measured and visualized the spatial dependency and the spatial heterogeneity of the small business in Cheonan-si, Asan-si with $100m{\times}100m$ grids based on global and local spatial autocorrelation. First, we confirmed positive spatial autocorrelation of small business in the research area using Moran's I Index, which is ESDA(Exploratory Spatial Data Analysis). And then, through Getis-Ord $GI{\ast}$, one kind of LISA(Local Indicators of Spatial Association), local patterns of spatial autocorrelation were visualized. These verified that Spatial Regression Model is valid for the location factor analysis on small business commercial buildings. Next, GWR(Geographically Weighted Regression) was used to analyze the spatial relations between the distribution of small business, hourly mobile traffic-based floating population, land use attributes index, residence, commercial building, road networks, and the node of traffic networks. Final six variables were applied and the accessibility to bus stops, afternoon time floating population, and evening time floating population were excluded due to multicollinearity. By this, we demonstrated that GWR is statistically improved compared to OLS. We visualized the spatial influence of the individual variables using the regression coefficients and local coefficients of determinant of the six variables. This research applied the measured population information in a practical way. Reflecting the dynamic information of the urban people using the commercial area. It is different from other studies that performed commercial analysis. Finally, this research has a differentiated advantage over the existing commercial area analysis in that it employed hourly changing commercial service population data and it applied spatial statistical models to micro spatial units. This research proposed new framework for the commercial analysis area analysis.

본 연구에서는 천안시, 아산시의 $100m{\times}100m$격자 내에 집계된 소상공인 분포가 가지는 공간적 의존성(Spatial Dependency)과 공간적 이질성(Spatial Heterogeneity)을 전역적(Global), 국지적(Local) 공간 자기상관(Spatial Autocorrelation)을 통해 측정 및 가시화하였다. 먼저 탐색적 공간데이터 분석방법(ESDA: Explotory Spatial Data Analysis)인 Moran's I Index를 통해 연구지역에서 소상공인 분포의 정적(Positive)공간자기상관이 발생하는 것을 확인하였으며, 국지적 공간자기상관 지표(LISA : Local Indicators of Spatial Association) 중 하나인 Getis-Ord $GI{\ast}$를 통해 공간자기상관의 국지적 패턴을 가시화하였다. 이를 통해 소상공인 상가점포의 입지요인 분석 시 적용할 변수와의 관계에 대해 공간회귀모형의 적용이 타당함을 증명하였으며, 소상공인의 분포와 모바일 트래픽 기반의 시간대별 유동인구, 토지이용 혼합성 지수 그리고 주거지, 상점, 도로망, 교통결절점과의 공간영향관계를 지리가중 회귀분석(GWR : Geographically Weighted Regression)을 통해 분석하였다. 최종적으로 다중공선성(Multicollinearity)이 발생했던 버스정류장 접근성, 오후시간대 유동인구, 저녁시간대 유동인구를 제외한 6개의 변수를 적용하였고 GWR 모형이 OLS모형보다 주요통계량에서 모형 설명력이 개선됨을 도출하였다. 분석에 최종적으로 적용된 6가지 변수의 회귀계수와 국지적 결정계수(Local $R^2$)에 대해 연구지역 내에서 공간적으로 변화하는 변수별 영향력을 가시화하였다. 본 연구는 실질적으로 측정된 방식의 유동인구 정보를 적용함으로써 상권을 이용하는 도시민의 동적 정보를 반영한 것이 상권분석을 수행한 다른 연구들과 차별적인 성격을 가진다. 마지막으로 이러한 동적정보와 변수들의 공간적 상호작용을 구조화하기 위해 미시적 공간단위에서 공간통계학(Spatial Statistical)적 모형 적용을 통해 상권분석의 새로운 프레임을 제시하였다는 점에서 연구적 의의를 가진다.

Keywords

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FIGURE 1. Research Area

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FIGURE 2. Research Flow Chart

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FIGURE 3. Moran’s I Index of Small Business Distribution

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FIGURE 4. Cluster Area of Small Business Distribution

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FIGURE 5. Example of Distribution Change according to Flow Visualization Method

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FIGURE 6. Local R2 of GWR Model and Regression Coefficient Distribution by Variables

TABLE 1. Building Data and Setting Variables

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TABLE 2. By Age/Time zone Flow Population Detection Grid Count and Daily Average Flow Population

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TABLE 3. Comparison of OLS and GWR Analysis Results

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