Comparing Univariate Spatial Association Statistics (II): Focusing on Local Lee’s Si Statistics

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2016 Vol.5, Issue 3 Preview Page

Comparing Univariate Spatial Association Statistics (II): Focusing on Local Lee’s Si Statistics 일변량 공간연관성통계량에 대한 비교 연구 (II): 국지적 Si 통계량을 중심으로: 이상일, 조대헌, 이민파

2016. pp. 375~396

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References

국토교통과학기술진흥원, 2016, ｢공간정보 SW활용을 위한 오픈소스 가공기술개발 3차년도 연차실적계획서 (내부자료)｣.
이상일, 2007, “거주지 분화에 대한 공간통계학적 접근 (I): 공간 분리성 측도의 개발,” 대한지리학회지, 42(4), 616-631.
이상일, 2008, “거주지 분화에 대한 공간통계학적 접근 (II): 국지적 공간 분리성 측도를 이용한 탐색적 공간데이터 분석,” 대한지리학회지, 43(1), 134-153.
이상일･조대헌･손학기･채미옥, 2010, “공간 클러스터의 범역 설정을 위한 GIS-기반 방법론 연구: 수정 AMOEBA 기법,” 대한지리학회지, 45(4), 502-520.
이상일･조대헌･이민파, 2015, “일변량 공간연관성통계량에 대한 비교 연구 (I): 전역적 S 통계량을 중심으로,” 한국지리학회지, 4(2), 329-345.
Aldstadt, J. and Getis, A., 2006, Using AMOEBA to create a spatial weights matrix and identify spatial clusters, Geographical Analysis, 38(4), 327-343.
Anselin, L., 1995, Local indicators of spatial association: LISA, Geographical Analysis, 27(2), 93-115.
Anselin, L., 1996, The Moran scatterplot as an ESDA tools to assess local instability in spatial association, in Fischer, M., Scholten, H., and Unwin, D. eds., Spatial Analytical Perspectives on GIS, London: Taylor & Francis, 111-125.
Anselin, L., 1998, Exploratory spatial data analysis in a geocomputational environment, in Longley, P.A., Brooks, S.M., McDonell, R., and MacMillan, B. eds., Geocomputation: A Primer, Chechester: John Wiley & Sons, 77-94.
Anselin, L., 1999, Interactive techniques and exploratory spatial data analysis, in Longley, P.A., Goodchild, M.F., Maguire, D.J., and Rhind, D.W. eds., Geographical Information Systems: Principles, Techniques, Management, and Applications, 2nd edition, New York: John Wiley & Sons, 253-266.
Anselin, L., Syabri, I., and Smirnov, O., 2002, Visualizing multivariate spatial correlation with dynamically linked windows, in Anselin, L. and Rey, S. eds., New Tools for Spatial Data Analysis, Proceedings of the Specialist Meeting, Center for Spatially Integrated Social Science (CSISS), University of California, Santa Barbara.
Bailey, T.C., 1994, A review of statistical spatial analysis in geographical information systems, in Fotheringham, A.S. and Rogerson, P. eds., Spatial Analysis and GIS, London: Taylor & Francis, 13-44.
Bivand R.S., 2010, Exploratory spatial data analysis, in Fischer, M.M. and Getis, A. eds., Handbook of Applied Spatial Analysis: Software Tools, Methods and Applications, New York: Springer, 219-254.
Boots, B. and Tiefelsdorf, M., 2000, Global and local spatial autocorrelation in bounded regular tessellations, Journal of Geographical Systems, 2(4), 319-348.
Cliff, A.D. and Ord, J.K., 1981, Spatial Processes: Models and Applications, London: Pion.
Czaplewski, R.L. and Reich, R.M., 1993, Expected value and variance of Moran's bivariate spatial autocorrelation statistic for a permutation test, Research Paper RM-309, U.S. Department of Agriculture, Rocky Mountain Forest and Range Experiment Station, Fort Collins, CO.
Fischer, M., Scholten, H.J., and Unwin, D., 1996, Spatial Analytical Perspectives on GIS, Bristol, PA: Taylor & Francis.
Fischer, M.M. and Getis, A., 2009, eds., Handbook of Applied Spatial Analysis: Software Tools, Methods and Applications, New York: Springer.
Fotheringham, A.S., 1997, Trends in quantitative methods I: Stressing the local, Progress in Human Geography, 21(1), 88-96.
Fotheringham, A.S., 2000, Context-dependent spatial analysis: A role for GIS, Journal of Geographical Systems, 2(1), 71-76.
Fotheringham, A.S. and Charlton, M., 1994, GIS and exploratory spatial data analysis: An overview of some research issues, Geographical Systems, 1, 315-327.
Fotheringham, A.S. and Rogerson, P. eds., 1994, Spatial Analysis and GIS, Philadelphia, PA: Taylor & Francis.
Getis, A. and Aldstadt, J., 2004, Constructing the spatial weights matrix using a local statistic, Geographical Analysis, 36(2), 90-104.
Getis, A., 1991, Spatial interaction and spatial autocorrelation: A cross-product approach, Environment and Planning A, 23(9), 1269-1277.
Getis, A. and Ord, J.K., 1992, The analysis of spatial association by use of distance statistics, Geographical Analysis, 24(3), 189-206.
Getis, A. and Ord, J.K., 1996, Local spatial statistics: An overview, in Longley, P. and Batty, M. eds., Spatial Analysis: Modelling in a GIS Environment, Cambridge: GeoInformation International, 261-277.
Goodchild, M.F. and Haining, R.P., 2004, GIS and spatial data analysis: Converging perspectives, Papers in Regional Science, 83(1), 363-385.
Goodchild, M.F. and Longley, P.A., 1999, The future of GIS and spatial analysis, in Longley, P.A., Goodchild, M.F., Maguire, D.J., and Rhind, D.W. eds., Geographical Information Systems: Principles, Techniques, Management, and Applications, 2nd edition, New York: John Wiley & Sons, 567-580.
Henshaw, R.C., Jr., 1966, Testing single-equation least squares regression models for autocorrelated disturbances, Econometrica: Journal of the Econometric Society, 34(3), 646-660.
Henshaw, R.C., Jr., 1968, Errata: Testing single-equation least squares regression models for autocorrelated disturbances, Econometrica: Journal of the Econometric Society, 36(3/4), 626-626.
Hepple, L.W., 1998, Exact testing for spatial autocorrelation among regression residuals, Environment and Planning A, 30(1), 85-107.
Lee, S.-I., 2001a, Developing a bivariate spatial association measure: An integration of Pearson’s r and Moran’s I, Journal of Geographical Systems, 3(4), 369-385.
Lee, S.-I., 2001b, Spatial Association Measures for An ESDA-GIS Framework: Developments, Significance Tests, and Applications to Spatio-Temporal Income Dynamics of US Labor Market Areas, 1969-1999, Ph.D. Dissertation, The Ohio State University.
Lee, S.-I., 2004a, Exploratory spatial data analysis of σ-convergence in the U.S. regional income distribution, 1969-1999, Journal of the Korean Urban Geographical Society, 7(1), 79-95.
Lee, S.-I., 2004b, A generalized significance testing method for global measures of spatial association: An extension of the Mantel test, Environment and Planning A, 36(9), 1687-1703.
Lee, S.-I., 2005, Between the quantitative and GIS revolutions: Towards an SDA-centered GIScience, Journal of Geography Education, 49, 268-284.
Lee, S.-I., 2008, A generalized procedure to extract higher order moments of univariate spatial association measures for statistical testing under the normality assumption, Journal of the Korean Geographical Society, 43(2), 253-262.
Lee, S.-I., 2009, A generalized randomization approach to local measures of spatial association, Geographical Analysis, 41(2), 221-248.
Lee, S.-I., 2012, Exploring bivariate spatial dependence and heterogeneity: A comparison of bivariate measures of spatial association, Annual Meeting of the Association of American Geographers, February 24~28, New York, USA.
Lee, S.-I., 2016, Correlation and spatial autocorrelation, in Shekhar, S., Xiona, H., and Zhou, X. eds., Encyclopedia of GIS, 2nd edition, New York: Springer, forthcoming.
Lee, S.-I. and Cho, D., 2013, Delineating the bivariate spatial clusters: A bivariate AMOEBA technique, Annual Meeting of the Association of American Geographers, April 9~13, Los Angeles, USA.
Lee, S.-I. and Cho, D., 2015, Developing a bivariate AMOEBA technique, GeoComputation 2015 Conference, May 20~23, Dallas, Texas, USA.
Leung, Y., Mei, C.L., and Zhang, W.X., 2003, Statistical test for local patterns of spatial association, Environment and Planning A, 35(4), 725-744.
Longley, P.A., 2000, The academic success of GIS in geography: Problems and prospects, Journal of Geographical Systems, 2(1), 37-42.
Longley, P. and Batty, M. eds., 1997, Spatial Analysis: Modelling in a GIS Environment, Sidney: Halsted Press.
Openshaw, S., 1990, Spatial analysis and geographical information systems: A review of progress and possibilities, in Scholten, H. and Stillwell, J. eds., Geographical Information Systems for Urban and Regional Planning, Dordrecht: Kluwer, 153-163.
Openshaw, S. and Clarke, G., 1996, Developing spatial analysis functions relevant to GIS environments, in Fischer, M., Scholten, H., and Unwin, D. eds., Spatial Analytical Perspectives on GIS, London: Taylor & Francis, 21-37.
Ord, J.K., and Getis, A., 1995, Local spatial autocorrelation statistics: distributional issues and an application, Geographical Analysis, 27(4), 286-306.
Reich, R., Czaplewski, R.L., and Bechtold, W.A., 1994, spatial cross-correlation of undistributed, natural shortleaf pine stands Northern Georgia, Environmental and Ecological Statistics, 1(3), 201-217.
Sokal, R.R., Oden, N.L., and Thomson, B.A., 1998, Local spatial autocorrelation in a biological model, Geographical Analysis, 30(4), 331-354.
Tiefelsdorf, M., 1998, Some practical applications of Moran’s I’s exact conditional distribution, Papers in Regional Science, 77(2), 101-129.
Tiefelsdorf, M., 2000, Modelling Spatial Processes: The Identification and Analysis of Spatial Relationships in Regression Residuals by Means of Moran’s I, New York: Springer.
Tiefelsdorf, M., 2002, The saddlepoint approximation of Moran’s I’s and local Moran’s I’s reference distributions and their numerical evaluation, Geographical Analysis, 34(3), 187-206.
Tiefelsdorf, M., Griffith, D.A., and Boots, B., 1999, A variance-stabilizing coding scheme for spatial link matrices, Environment and Planning A, 31(1), 165-180.
Unwin, D.J., 1996, GIS, spatial analysis and spatial statistics, Progress in Human Geography, 20(4), 540-551.
Wartenberg, D., 1985, Multivariate spatial correlation: A method for exploratory geographical analysis, Geographical Analysis, 17(4), 263-283.
Wartenberg, D., 1990, Exploratory spatial analyses: Outliers, leverage points, and influence functions, in Griffith, D.A. ed., Spatial Statistics: Past, Present, and Future, Ann Arbor, Michigan: Institute of Mathematical Geography, 133-156.

Information

Publisher :The Association of Korean Geographers
Publisher(Ko) :한국지리학회
Journal Title :Journal of the Association of Korean Geographers
Journal Title(Ko) :한국지리학회지
Volume : 5
No :3
Pages :375~396

[1] 국토교통과학기술진흥원, 2016, ｢공간정보 SW활용을 위한 오픈소스 가공기술개발 3차년도 연차실적계획서 (내부자료)｣.

[2] 이상일, 2007, “거주지 분화에 대한 공간통계학적 접근 (I): 공간 분리성 측도의 개발,” 대한지리학회지, 42(4), 616-631.

[3] 이상일, 2008, “거주지 분화에 대한 공간통계학적 접근 (II): 국지적 공간 분리성 측도를 이용한 탐색적 공간데이터 분석,” 대한지리학회지, 43(1), 134-153.

[4] 이상일･조대헌･손학기･채미옥, 2010, “공간 클러스터의 범역 설정을 위한 GIS-기반 방법론 연구: 수정 AMOEBA 기법,” 대한지리학회지, 45(4), 502-520.

[5] 이상일･조대헌･이민파, 2015, “일변량 공간연관성통계량에 대한 비교 연구 (I): 전역적 S 통계량을 중심으로,” 한국지리학회지, 4(2), 329-345.

[6] Aldstadt, J. and Getis, A., 2006, Using AMOEBA to create a spatial weights matrix and identify spatial clusters, Geographical Analysis, 38(4), 327-343.

[7] Anselin, L., 1995, Local indicators of spatial association: LISA, Geographical Analysis, 27(2), 93-115.

[8] Anselin, L., 1996, The Moran scatterplot as an ESDA tools to assess local instability in spatial association, in Fischer, M., Scholten, H., and Unwin, D. eds., Spatial Analytical Perspectives on GIS, London: Taylor & Francis, 111-125.

[9] Anselin, L., 1998, Exploratory spatial data analysis in a geocomputational environment, in Longley, P.A., Brooks, S.M., McDonell, R., and MacMillan, B. eds., Geocomputation: A Primer, Chechester: John Wiley & Sons, 77-94.

[10] Anselin, L., 1999, Interactive techniques and exploratory spatial data analysis, in Longley, P.A., Goodchild, M.F., Maguire, D.J., and Rhind, D.W. eds., Geographical Information Systems: Principles, Techniques, Management, and Applications, 2nd edition, New York: John Wiley & Sons, 253-266.

[11] Anselin, L., Syabri, I., and Smirnov, O., 2002, Visualizing multivariate spatial correlation with dynamically linked windows, in Anselin, L. and Rey, S. eds., New Tools for Spatial Data Analysis, Proceedings of the Specialist Meeting, Center for Spatially Integrated Social Science (CSISS), University of California, Santa Barbara.

[12] Bailey, T.C., 1994, A review of statistical spatial analysis in geographical information systems, in Fotheringham, A.S. and Rogerson, P. eds., Spatial Analysis and GIS, London: Taylor & Francis, 13-44.

[13] Bivand R.S., 2010, Exploratory spatial data analysis, in Fischer, M.M. and Getis, A. eds., Handbook of Applied Spatial Analysis: Software Tools, Methods and Applications, New York: Springer, 219-254.

[14] Boots, B. and Tiefelsdorf, M., 2000, Global and local spatial autocorrelation in bounded regular tessellations, Journal of Geographical Systems, 2(4), 319-348.

[15] Cliff, A.D. and Ord, J.K., 1981, Spatial Processes: Models and Applications, London: Pion.

[16] Czaplewski, R.L. and Reich, R.M., 1993, Expected value and variance of Moran's bivariate spatial autocorrelation statistic for a permutation test, Research Paper RM-309, U.S. Department of Agriculture, Rocky Mountain Forest and Range Experiment Station, Fort Collins, CO.

[17] Fischer, M., Scholten, H.J., and Unwin, D., 1996, Spatial Analytical Perspectives on GIS, Bristol, PA: Taylor & Francis.

[18] Fischer, M.M. and Getis, A., 2009, eds., Handbook of Applied Spatial Analysis: Software Tools, Methods and Applications, New York: Springer.

[19] Fotheringham, A.S., 1997, Trends in quantitative methods I: Stressing the local, Progress in Human Geography, 21(1), 88-96.

[20] Fotheringham, A.S., 2000, Context-dependent spatial analysis: A role for GIS, Journal of Geographical Systems, 2(1), 71-76.

[21] Fotheringham, A.S. and Charlton, M., 1994, GIS and exploratory spatial data analysis: An overview of some research issues, Geographical Systems, 1, 315-327.

[22] Fotheringham, A.S. and Rogerson, P. eds., 1994, Spatial Analysis and GIS, Philadelphia, PA: Taylor & Francis.

[23] Getis, A. and Aldstadt, J., 2004, Constructing the spatial weights matrix using a local statistic, Geographical Analysis, 36(2), 90-104.

[24] Getis, A., 1991, Spatial interaction and spatial autocorrelation: A cross-product approach, Environment and Planning A, 23(9), 1269-1277.

[25] Getis, A. and Ord, J.K., 1992, The analysis of spatial association by use of distance statistics, Geographical Analysis, 24(3), 189-206.

[26] Getis, A. and Ord, J.K., 1996, Local spatial statistics: An overview, in Longley, P. and Batty, M. eds., Spatial Analysis: Modelling in a GIS Environment, Cambridge: GeoInformation International, 261-277.

[27] Goodchild, M.F. and Haining, R.P., 2004, GIS and spatial data analysis: Converging perspectives, Papers in Regional Science, 83(1), 363-385.

[28] Goodchild, M.F. and Longley, P.A., 1999, The future of GIS and spatial analysis, in Longley, P.A., Goodchild, M.F., Maguire, D.J., and Rhind, D.W. eds., Geographical Information Systems: Principles, Techniques, Management, and Applications, 2nd edition, New York: John Wiley & Sons, 567-580.

[29] Henshaw, R.C., Jr., 1966, Testing single-equation least squares regression models for autocorrelated disturbances, Econometrica: Journal of the Econometric Society, 34(3), 646-660.

[30] Henshaw, R.C., Jr., 1968, Errata: Testing single-equation least squares regression models for autocorrelated disturbances, Econometrica: Journal of the Econometric Society, 36(3/4), 626-626.

[31] Hepple, L.W., 1998, Exact testing for spatial autocorrelation among regression residuals, Environment and Planning A, 30(1), 85-107.

[32] Lee, S.-I., 2001a, Developing a bivariate spatial association measure: An integration of Pearson’s r and Moran’s I, Journal of Geographical Systems, 3(4), 369-385.

[33] Lee, S.-I., 2001b, Spatial Association Measures for An ESDA-GIS Framework: Developments, Significance Tests, and Applications to Spatio-Temporal Income Dynamics of US Labor Market Areas, 1969-1999, Ph.D. Dissertation, The Ohio State University.

[34] Lee, S.-I., 2004a, Exploratory spatial data analysis of σ-convergence in the U.S. regional income distribution, 1969-1999, Journal of the Korean Urban Geographical Society, 7(1), 79-95.

[35] Lee, S.-I., 2004b, A generalized significance testing method for global measures of spatial association: An extension of the Mantel test, Environment and Planning A, 36(9), 1687-1703.

[36] Lee, S.-I., 2005, Between the quantitative and GIS revolutions: Towards an SDA-centered GIScience, Journal of Geography Education, 49, 268-284.

[37] Lee, S.-I., 2008, A generalized procedure to extract higher order moments of univariate spatial association measures for statistical testing under the normality assumption, Journal of the Korean Geographical Society, 43(2), 253-262.

[38] Lee, S.-I., 2009, A generalized randomization approach to local measures of spatial association, Geographical Analysis, 41(2), 221-248.

[39] Lee, S.-I., 2012, Exploring bivariate spatial dependence and heterogeneity: A comparison of bivariate measures of spatial association, Annual Meeting of the Association of American Geographers, February 24~28, New York, USA.

[40] Lee, S.-I., 2016, Correlation and spatial autocorrelation, in Shekhar, S., Xiona, H., and Zhou, X. eds., Encyclopedia of GIS, 2nd edition, New York: Springer, forthcoming.

[41] Lee, S.-I. and Cho, D., 2013, Delineating the bivariate spatial clusters: A bivariate AMOEBA technique, Annual Meeting of the Association of American Geographers, April 9~13, Los Angeles, USA.

[42] Lee, S.-I. and Cho, D., 2015, Developing a bivariate AMOEBA technique, GeoComputation 2015 Conference, May 20~23, Dallas, Texas, USA.

[43] Leung, Y., Mei, C.L., and Zhang, W.X., 2003, Statistical test for local patterns of spatial association, Environment and Planning A, 35(4), 725-744.

[44] Longley, P.A., 2000, The academic success of GIS in geography: Problems and prospects, Journal of Geographical Systems, 2(1), 37-42.

[45] Longley, P. and Batty, M. eds., 1997, Spatial Analysis: Modelling in a GIS Environment, Sidney: Halsted Press.

[46] Openshaw, S., 1990, Spatial analysis and geographical information systems: A review of progress and possibilities, in Scholten, H. and Stillwell, J. eds., Geographical Information Systems for Urban and Regional Planning, Dordrecht: Kluwer, 153-163.

[47] Openshaw, S. and Clarke, G., 1996, Developing spatial analysis functions relevant to GIS environments, in Fischer, M., Scholten, H., and Unwin, D. eds., Spatial Analytical Perspectives on GIS, London: Taylor & Francis, 21-37.

[48] Ord, J.K., and Getis, A., 1995, Local spatial autocorrelation statistics: distributional issues and an application, Geographical Analysis, 27(4), 286-306.

[49] Reich, R., Czaplewski, R.L., and Bechtold, W.A., 1994, spatial cross-correlation of undistributed, natural shortleaf pine stands Northern Georgia, Environmental and Ecological Statistics, 1(3), 201-217.

[50] Sokal, R.R., Oden, N.L., and Thomson, B.A., 1998, Local spatial autocorrelation in a biological model, Geographical Analysis, 30(4), 331-354.

[51] Tiefelsdorf, M., 1998, Some practical applications of Moran’s I’s exact conditional distribution, Papers in Regional Science, 77(2), 101-129.

[52] Tiefelsdorf, M., 2000, Modelling Spatial Processes: The Identification and Analysis of Spatial Relationships in Regression Residuals by Means of Moran’s I, New York: Springer.

[53] Tiefelsdorf, M., 2002, The saddlepoint approximation of Moran’s I’s and local Moran’s I’s reference distributions and their numerical evaluation, Geographical Analysis, 34(3), 187-206.

[54] Tiefelsdorf, M., Griffith, D.A., and Boots, B., 1999, A variance-stabilizing coding scheme for spatial link matrices, Environment and Planning A, 31(1), 165-180.

[55] Unwin, D.J., 1996, GIS, spatial analysis and spatial statistics, Progress in Human Geography, 20(4), 540-551.

[56] Wartenberg, D., 1985, Multivariate spatial correlation: A method for exploratory geographical analysis, Geographical Analysis, 17(4), 263-283.

[57] Wartenberg, D., 1990, Exploratory spatial analyses: Outliers, leverage points, and influence functions, in Griffith, D.A. ed., Spatial Statistics: Past, Present, and Future, Ann Arbor, Michigan: Institute of Mathematical Geography, 133-156.

Journal of the Association of Korean Geographers ISSN:2287-4739(Print) 2733-8991(Online) 한국지리학회지

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