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A method for analyzing the segregation between point distributions: statistical tests and consideration of attributes

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Abstract

This paper proposes a new method for analyzing the segregation between point distributions. Though there have been proposed numerous methods and measures in segregation analysis, they have at least three deficiencies: (1) statistical significance of segregation is not evaluated, (2) detailed attributes of points are not considered, and (3) the relationship between different dimensions of segregation is not fully discussed. To resolve these problems, this paper proposes a new method for analyzing the segregation between point distributions. We introduce a general procedure of evaluating the individual components of segregation. This procedure helps us find independent components of segregation and provides a means of assessing their statistical significance. It also permits us to take into account the detailed attributes of points in segregation analysis. To test the validity of the proposed method, we apply it to the analysis of synthetic and real datasets. The result supports the technical soundness of the method and provides empirical findings.

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References

  • Allen JP, Turner E (1989) The most ethnically diverse urban places in the United States. Urban Geogr 10(6):523–539

    Article  Google Scholar 

  • Brown LA, Chung S-Y (2006) Spatial segregation, segregation indices and the geographical perspective. Popul Space Place 12(2):125–143

    Article  Google Scholar 

  • Cliff AD, Ord JK (1973) Spatial autocorrelation. Pion, London

    Google Scholar 

  • Cliff AD, Ord JK (1981) Spatial processes: models & applications. Pion, London

    Google Scholar 

  • Cortese CF, Frank FR, Cohen JK (1976) Further considerations on the methodological analysis of segregation indices. Am Sociol Rev 41(4):630–637

    Article  Google Scholar 

  • Davis PJ, Rabinowitz P (1984) Methods of numerical integration. Dover, New York

    Google Scholar 

  • Deurloo MC, de Vos S (2008) Measuring segregation at the micro level: an application of the M measure to multi-ethnic residential neighbourhoods in Amsterdam. Tijdschrift Voor Economische en Sociale Geografie 99(3):329–347

    Article  Google Scholar 

  • Duncan OD, Duncan B (1955) A methodological analysis of segregation indexes. Am Sociol Rev 20(2):210–217

    Article  Google Scholar 

  • Echenique F, Fryer RG (2007) A measure of segregation based on social interactions. Q J Econ 122(2):441–485

  • Farber S, Páez A, Morency C (2012) Activity spaces and the measurement of clustering and exposure: a case study of linguistic groups in Montreal. Environ Plan A 44(2):315–332

  • Gini C (1936) On the measure of concentration with special reference to income and statistics. Colo Coll Publ Gen Ser 208:73–79

    Google Scholar 

  • Gopal U, Goodchild MF (1989) The accuracy of spatial databases. CRC Press, London

    Google Scholar 

  • Goreaud F, Pélissier R (2003) Avoiding misinterpretation of biotic interactions with the intertype K12-function: population independence vs. random labelling hypotheses. J Veg Sci 14(5):681–692

    Google Scholar 

  • Griffith DA (1987) Spatial autocorrelation: a primer. Association of American Geographers, Washington

    Google Scholar 

  • Hildelbrand FB (1987) Introduction to numerical analysis. Dover, New York

    Google Scholar 

  • Hunsaker CT, Goodchild MF, Friedl MA, Case TJ (2001) Spatial uncertainty in ecology: implications for remote sensing and GIS applications. Springer, Berlin

    Book  Google Scholar 

  • James DR, Taeuber KE (1985) Measures of segregation. In: Tuma NB (ed) Sociological methodology, vol 14. Jossey-Bass, San Francisco, CA, pp 1–32

    Google Scholar 

  • Johnston R, Poulsen M, Forrest J (2007) Ethnic and racial segregation in U.S. metropolitan areas, 1980–2000. Urban Aff Rev 42(4):479–504

    Article  Google Scholar 

  • Johnston R, Poulsen M, Forrest J (2011) Evaluating changing residential segregation in Auckland, New Zealand, using spatial statistics. Tijdschrift voor Economische en Sociale Geografie 102(1):1–23

    Article  Google Scholar 

  • Knuth DE (1968) The art of computer programming. Addison-Wesley, Reading

    Google Scholar 

  • Li H, Reynolds JF (1993) A new contagion index to quantify spatial patterns of landscapes. Landsc Ecol 8(3):155–162

    Article  Google Scholar 

  • Logan JR, Zhang W, Alba RD (2002) Immigrant enclaves and ethnic communities in New York and Los Angeles. Am Sociol Rev 67(2):299–322

    Article  Google Scholar 

  • Massey DS (1985) Ethnic residential segregation: a theoretical synthesis and empirical review. Sociol Soc Res 69(3):315–350

  • Massey DS, Denton SA (1988) The dimensions of residential segregation. Soc Forces 67(2):281–315

    Article  Google Scholar 

  • Morgan BS (1983) An alternative approach to the development of a distance-based measure of racial segregation. Am J Sociol 88(6):1237–1249

    Article  Google Scholar 

  • Morrill RL (1991) On the measure of geographic segregation. Geogr Res Forum 11(1):25–36

    Google Scholar 

  • Morrill RL (1995) Racial segregation and class in a liberal metropolis. Geogr Anal 27(1):22–41

  • Mucientes GR, Queiroz N, Sousa LL, Tarroso P, Sims DW (2009) Sexual segregation of pelagic sharks and the potential threat from fisheries. Biol Lett 5(2):156–159

    Article  Google Scholar 

  • O’Neill RV, Krummel JR, Gardner RH, Sugihara G, Jackson B, DeAngelis DL, Milne BT, Turner MG, Zygmunt B, Christensen SW, Dale VH, Graham RL (1988) Indices of landscape pattern. Landsc Ecol 1(3):153–162

    Article  Google Scholar 

  • O’Sullivan D, Wong DWS (2007) A surface-based approach to measuring spatial segregation. Geogr Anal 39(2):147–168

    Article  Google Scholar 

  • Páez A, Ruiz M, Lopez F, Logan J (2012) Measuring ethnic clustering and exposure with the Q statistic: an exploratory analysis of Irish, Germans, and Yankees in 1880 Newark. Ann Assoc Am Geogr 102(1):84–102

    Article  Google Scholar 

  • Pielou EC (1977) Mathematical ecology. Wiley, New York

    Google Scholar 

  • Poulsen M, Johnston R, Forrest J (2011) Using local statistics and neighbourhood classifications to portray ethnic residential segregation: a London example. Environ Plan B 38(4):636–658

    Article  Google Scholar 

  • Reardon SF (2009) Measures of ordinal segregation. Res Econ Inequal 17:129–155

    Article  Google Scholar 

  • Reardon SF, Bischoff K (2011) Income inequality and income segregation. Am J Sociol 116(4):1092–1153

    Article  Google Scholar 

  • Reardon SF, O’Sullivan D (2004) Measures of spatial segregation. Sociol Methodol 34(1):121–162

    Article  Google Scholar 

  • Reardon SF, Firebaugh G, O’Sullivan D, Matthews SA (2006) Measures of socioeconomic segregation. Paper presented at the 29th general conference of the International Association for Research in Income and Wealth, Joensuu, Finland, August 20–26

  • Reardon SF, Farrell CR, Matthews SA, O’Sullivan D, Bischoff K, Firebaugh G (2009) Race and space in the 1990s: changes in the geographic scale of racial residential segregation, 1990–2000. Soc Sci Res 38(1):55–70

    Article  Google Scholar 

  • Riitters KH, O’Neill RV, Wickham JD, Jones KB (1996) A note on contagion indices for landscape analysis. Landsc Ecol 11(4):197–202

  • Ruiz M, López F, Páez A (2009) Testing for spatial association of qualitative data using symbolic dynamics. J Geogr Syst 12(3):281–309

  • Sadahiro Y, Hong S-Y (2013) Decomposition approach to the measurement of spatial segregation. CSIS Discussion Paper Series No. 119 Center for Spatial Information Science, The University of Tokyo. http://www.csis.u-tokyo.ac.jp/dp/119.pdf

  • Sedgewick R, Wayne K (1983) Algorithms. Addison-Wesley, Reading

    Google Scholar 

  • Shi W, Fisher P, Goodchild MF (2002) Spatial data quality. CRC Press, London

    Book  Google Scholar 

  • Silverman BW (1986) Density estimation for statistics and data analysis. CRC Press, Boca Raton

  • Spielman S, Logan JR (2013) Using high-resolution population data to identify neighborhoods and establish their boundaries. Ann Assoc Am Geogr 103(1):67–84

    Article  Google Scholar 

  • Theil H, Finizza AJ (1971) A note on the measurement of racial integration of schools. J Math Sociol 1(2):187–193

    Article  Google Scholar 

  • White MJ (1983) The measurement of spatial segregation. Am J Sociol 88(5):1008–1018

    Article  Google Scholar 

  • White MJ (1986) Segregation and diversity measures of spatial segregation. Am Popul Index 52(2):198–221

    Article  Google Scholar 

  • Winship C (1977) A revaluation of indexes of residential segregation. Soc Forces 55(4):1058–1066

    Article  Google Scholar 

  • Wong DWS (1993) Spatial indices of segregation. Urban Stud 30(3):559–572

    Article  Google Scholar 

  • Wong DWS (2001) Location-specific cumulative distribution functions (LSCDF): an alternative to spatial correlation analysis. Geogr Anal 33(1):76–93

    Article  Google Scholar 

  • Wong DWS, Shaw SL (2011) Measuring segregation: an activity space approach. J Geogr Syst 13(2):127–145

    Article  Google Scholar 

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Correspondence to Yukio Sadahiro.

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Sadahiro, Y. A method for analyzing the segregation between point distributions: statistical tests and consideration of attributes. J Geogr Syst 17, 29–60 (2015). https://doi.org/10.1007/s10109-014-0205-z

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  • DOI: https://doi.org/10.1007/s10109-014-0205-z

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