Angelo, Mele (2009): Poisson Indices of Segregation.
Preview |
PDF
MPRA_paper_15155.pdf Download (2MB) | Preview |
Abstract
Existing indices of residential segregation are based on an arbitrary partition of the city in neighborhoods: given a spatial distribution of racial groups, the index provides different levels of segregation for different partitions. This paper proposes a method in which individual locations are mapped to aggregate levels of segregation, avoiding arbitrary partitions. Assuming a simple spatial process driving the locations of different racial groups, I define a location-specific segregation index and measure the city-level segregation as average of the individual index. After deriving several distributional results for this family of indices, I apply the idea to US Census data, using nonparametric estimation techniques. This approach provides different levels and rankings of cities' segregation than traditional indices. I show that high aggregate levels of spatial separation are the result of very few locations with extremely high local segregation. I replicate the study of Cutler and Glaeser (1997) showing that their results change when segregation is measured using my approach. These findings potentially challenge the robustness of previous studies about the impact of segregation on socioeconomic outcomes.
Item Type: | MPRA Paper |
---|---|
Original Title: | Poisson Indices of Segregation |
Language: | English |
Keywords: | spatial segregation, spatial processes, nonparametric estimation |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General J - Labor and Demographic Economics > J1 - Demographic Economics > J15 - Economics of Minorities, Races, Indigenous Peoples, and Immigrants ; Non-labor Discrimination C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C21 - Cross-Sectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions |
Item ID: | 15155 |
Depositing User: | Angelo Mele |
Date Deposited: | 11 May 2009 01:44 |
Last Modified: | 03 Oct 2019 03:03 |
References: | Alesina, Alberto, Baqir, Reza and Easterly, William (1999), "Public Goods and Ethnic Divisions", The Quarterly Journal of Economics 114(4):1243-1284 Alesina Alberto and La Ferrara, Eliana (2000), Participation In Heterogeneous Communities," The Quarterly Journal of Economics 115(3):847-904 Alesina, Alberto and Zhuravskaya, Ekaterina (2008), "Segregation and the Quality of Government in a Cross-Section of Countries", mimeo, Harvard University Ananat Oltmans, Elizabeth (2007), "The Wrong Side(s) of the Tracks: The Effect of Racial Segregation on City Outcomes", NBER WP 13343 Ananat Oltmans, Elizabeth and Washington, Ebonya (2008), "Segregation and Black Political Efficacy", NBER Working Paper No. 13606. Arbia, Giuseppe, Copetti, Massimiliano and Diggle, Peter (2008), "Modelling individual behaviour of firms in the study of spatial concentration", in Fratesi U and Senn L (eds.) "Growth in Interconnected Territories", Springer-Verlag (2008) Baddeley, Adrian and Turner, Rolf (2005), "spatstat: An R Package for Analyzing Spatial Point Patterns", Journal of Statistical Software, 12(6):1-42 Berman, Mark and Diggle, Peter (1989), "Estimating Weighted Integrals of the Second-Order Intensity of a Spatial Point Process", Journal of the Royal Statistical Society, Series B, 51(1):81-92 Card, David and Rothstein, Jesse (2007), "Racial Segregation and the Black-White Test Score Gap", Journal of Public Economics 91(11-12):2158-2184. Collins, William J. and Margo, Robert A. (2000), "Residential segregation and socioeconomic outcomes: When did ghettos go bad?", Economic Letters 69:239-243 Conley, Timothy G. (1999), "GMM Estimation with Cross Sectional Dependence" Journal of Econometrics 92(1):1-45. Cressie, Noel A.C. (1993), "Statistics for Spatial Data", John Wiley and Sons, New York Cutler , D.M. and Glaeser, E. L. (1997), "Are Ghettos Good or Bad", Quarterly Journal of Economics, 112: 827-872 Cutler, D. M., Glaeser, E.L. and Vigdor, Jacob L. (1999), The Rise and Decline of the American Ghetto, Journal of Political Economy, 107(3):455-506 Daley, D. J. and Vere-Jones, D (2003), "An Introduction to the Theory of Point Processes", Springer, 2nd Edition D’Ambrosio, Conchita, Bossaert, Walter and La Ferrara, Eliana (2008), "A Generalized Index of Ethno-Linguistic Fractionalization", mimeo, Bocconi University and IGIER Diggle, Peter (1983), "Statistical Analysis of Spatial Point Patterns", Academic Press, London, First Edition Diggle, Peter (1985), "A Kernel Method for Smoothing Point Process Data", Applied Statistics, 34(2):138-147 Diggle, Peter (2003), "Statistical Analysis of Spatial Point Patterns", Academic Press, London, Second Edition Diggle, Peter, Zheng, Pingping and Durr, Peter (2005), "Nonparametric estimation of spatial segregation in a multivariate point process: bovine tubercolosis in Cornwall, UK", Applied Statistics, 54(3):645-658 Diggle P. J, Eglen, S. J. and Troy, J. B. (2006). "Modelling the Bivariate Spatial Distribution of Amacrine Cells", In A. Baddeley et al. (Eds.) Case Studies in Spatial Point Process Modelling, Springer Lecture notes in Statistics 185:215-233 Easterly W. and R. Levine (1997), “Africa’s Growth Tragedy: Policies and Ethnic Divisions”, Quarterly Journal of Economics, 111(4), 1203-1250. Echenique, Federico and Fryer, Roland G. Jr. (2007), "A Measure of Segregation Based on Social Interactions", Quarterly Journal of Economics 122(2):441-485 Frankel, David and Volij, Oscar (2008a), "Measuring School Segregation", mimeo Frankel, David and Volij, Oscar (2008b), "Scale Invariant Measures of Segregation", mimeo Glaeser, E. L. and Vigdor, Jacob L. (2000), "Racial Segregation in 2000 Census: Promising News", Center of Urban and Metropolitan Policy, The Brookings Institution Survey Series, April Hutchens, Robert (2004), "One Measure of Segregation", International Economic Review 45(2):555-578 Kelsall, Julia E. and Diggle, Peter J. (1998), "Spatial Variation in Risk of Diseases: A Nonparametric Binary Regression Approach", Applied Statistics, 47(4):559-573 Koenker, Roger and Mizera, Ivan (2004), "Penalized Triograms: Total Variation Regularization for Bivariate Smoothing", Journal of Royal Statistical Society: Series B (Statistical Methodology) 66(1):145-163 La Ferrara, Eliana and Mele, Angelo (2009), "Racial Segregation and Public School Expenditure", CEPR WP 5750 Massey, Douglas S. and Denton, Nancy A. (1988), "The Dimensions of Residential Segregation", Social Forces, 67(2):281-315 Massey, Douglas S. and Denton, Nancy A. (1993), "American Apartheid: Segregation and the Making of the Underclass", Cambridge: Harvard University Press. Mauro, Paolo (1995), “Corruption and Growth”, Quarterly Journal of Economics,110:681-712. Moller, Jesper and Waagepetersen, Rasmus Plenge (2004), "Statistical Inference and Simulation for Spatial Point Processes", Monographs on Statistics and Applied Probability 100, Chapman and Hall Quah, Danny and Simpson, Helen (2003), "Spatial Cluster Empirics", Working Paper, London School of Economics Reardon, Sean F. and Firebaugh, Glenn (2002), "Measures of Multigroup Segregation", Sociological Methodology 32:33-68 Reardon, Sean F. and O‘Sullivan, David (2004), "Measures of Spatial Segregation", Sociological Methodology 34: Reardon, Sean F, O‘Sullivan, David, Lee, Barrett A., Firebaugh, Glenn, Farrell, Chad (2006), "The Segregation Profile: Investigating How Metropolitan Racial Segregation Varies by Spatial Scale", WP 06-01, Stanford University Rowlingson, B.S. and Diggle P.J. (1993), "Splancs: Spatial Point Patterns Analysis Code in S-Plus", Computers and Geosciences, 19:627-655 Stoyan, D., Kendall, W.S. and Mecke, J. (1987), "Stochastic Geometry and Its Applications", John Wiley and Sons Stoyan, D. and Stoyan, H (1994), "Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics", Wiley Series in Probability and Mathematical Statistics, John Wiley and Sons Theil, Henri (1972). "Statistical Decomposition Analysis". Amsterdam: North-Holland. Theil, Henri, and Finezza, Anthony J. (1971). "A Note on the Measurement of Racial Integration of Schools by Means of Informational Concepts." Journal of Mathematical Sociology 1:187-94. Zhuang J., Ogata Y. and Vere-Jones D. (2005), "Diagnostic Analysis of Space-Time Branching Processes for Earthquakes" Chap. 15 (Pages 275-290) of Case Studies in Spatial Point Process Models, Edited by Baddeley A., Gregori P., Mateu J., Stoica R. and Stoyan D. Springer-Verlag, New York. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/15155 |