References
- Alleva, G. 1987. “Autocorrelazione spaziale nel caso di contiguità di ordine superiore al primo.” In Proceedings of the Italian Statistical Society Conference “Informazione ed analisi statistica per aree regionali e sub regionali”, Galeno Editrice, Perugia, Italia: 1–10.
- Anselin, L. 1999. “The Future of Spatial Analysis in the Social Sciences.” Geographic Information Sciences 5(2): 67–76. DOI: https://doi.org/10.1080/10824009909480516.
- Arbia, G. 2001. “The role of spatial effects in the empirical analysis of regional concentration.” Journal of Geographical Systems 3(3): 271–281. DOI: https://doi.org/10.1007/PL00011480.
- Arbia, G., R. Benedetti, and G. Espa. 1996. “Effect of MAUP on image classification.” Geographical System 3: 123–141.
- Arbia, G., and G. Piras. 2009. “A new class of spatial concentration measures.” Computational Statistics and Data Analysis 53(21): 4471–4481. DOI: https://doi.org/10.1016/j.csda.2009.07.003.
- Benassi, F., F. Lipizzi, and S. Strozza. 2019. “Detecting foreigners’ spatial residential patterns in urban contexts: two tales from Italy.” Applied Spatial Analysis and Policy 12(2): 301–319. DOI: https://doi.org/10.1007/s12061-017-9243-5.
- Benassi, F., R. Iglesias-Pascual, and L. Salvati. 2020. “Residential segregation and social diversification: Exploring spatial settlement patterns of foreign population in Southern European cities.” Habitat International 101:102200. DOI: https://doi.org/10.1016/j.habitatint.2020.102200.
- Bonferroni, C.E. 1938. Elementi di Statistica Generale. Litografai Feilice Gili: Torino.
- Brown, L.A., and S.Y. Chung. 2006. “Spatial segregation, segregation indices and the geographical perspectives.” Population, Space and Place 12(2): 125–143. DOI: https://doi.org/10.1002/psp.403.
- Crespo, R., and I. Hernandez. 2020. “On the spatially explicit Gini coefficient: The case study of Chile – a high-income developing country.” Letters in Spatial and Resource Sciences 13(1): 37–47. DOI: https://doi.org/10.1007/s12076-020-00243-4.
- Dawkins, C.J. 2004. “Measuring the spatial pattern of residential segregation.” Urban Studies 41(4): 833–851. DOI: https://doi.org/10.1080/0042098042000194.
- Dawkins, C.J. 2006. “The spatial pattern of black-white segregation in US metropolitan areas: An exploratory analysis.” Urban Studies 43(11): 1943–1969. DOI: https://doi.org/10.1080/00420980600897792.
- Eurostat. 2015. Geospatial analysis at Eurostat. Available at: https://ec.europa.eu/eurostat/statistics-explained/index.php?title=Geospatial_analysis_at_Eurostat#Spatial_analysis_for_statistical_purposes.
- Fotheringham A.S. 1997. “Trends in Quantitative Methods I: Stressing the Local.” Progress in Human Geography 21(1): 88–96. DOI: https://doi.org/10.1191/030913297676693207.
- Frosini, B.V. 1996. “Recenti contributi Italiani alla statistica descrittiva.” Statistica Applicata 8(2): 361–396.
- Gini, C. 1912. “Variabilità e mutabilità. Contributo allo studio delle distribuzioni e delle relazioni statistiche.” Studi economico-giuridici, Anno III, parte II. Facoltà di giurisprudenza della Regia Università di Cagliari, Cuppini, Bologna.
- Gini, C. 1914. “Sulla misura della concentrazione della variabilità dei caratteri.” Atti del reale istituto Veneto di scienze, lettere e arti 73(2): 1203–1248.
- Gini, C. 1921. “Measurement of inequality of incomes.” Economic Journal 31: 124–126. DOI: https://doi.org/10.2307/2223319.
- Gini, C. 2005. “On the measurement of concentration and variability of characters.” Metron 63(1): 3–38. Available at: https://www.dss.uniroma1.it/RePec/mtn/articoli/2005-1-1.pdf.
- Harris, C.R., K.J. Millman, S.J. van der Walt. R. Gommers, P. Virtanen, David Cournapeau, E. Wieser, J. Taylor, S. Berg, N.J. Smith, R. Kern, M. Picus, S. Hoyer, M.H. van Kerkwijk, M. Brett, A. Haldane, J. Fernández del Río, M. Wiebe, P. Peterson, P. Gérard-Marchant, K. Sheppard, T. Reddy, W. Weckesser, H. Abbasi, C. Gohlke, and T.E. Oliphan. 2020. “Array programming with NumPy.” Nature 585: 357–362. DOI: https://doi.org/10.1038/s41586-020-2649-2.
- Hoover, E. 1941. “Interstate redistribution of population, 1850–1940.” Journal of Economic History 1: 199–205. DOI: https://doi.org/10.1017/S0022050700052980.
- Howell, F.M., J.R. Porter, and S.A. Matthews. 2016. Recapturing space: New middle-range theory in spatial demography. Berlin: Springer. DOI: https://doi.org/10.1007/978-3-319-22810-5.
- Livi Bacci, M. 1999. The Population of Europe: A History. Oxford: Blackwell
- Leti G. 1983 Statistica descrittiva, Bologna: Il Mulino.
- Logan J.R. 2012. “Making a Place for Space: Spatial Thinking in Social Science.” Annual Review of Sociology 38: 507–524. DOI: https://doi.org/10.1146/annurev-soc-071811-145531.
- Lorenz, M.O. 1905. “Methods of measuring the concentration of wealth.” Publications of the American Statistical Association 9(70): 209–219. DOI: https://doi.org/10.2307/2276207.
- Matthews, S.A., and D.M. Parker. 2013. “Progress in spatial demography.” Demographic Research 28: 271–312. DOI: https://doi.org/10.4054/DemRes.2013.28.10.
- Massey, D.S., and N.A. Denton. 1988. “The dimensions of residential segregation.” Social forces 67(2): 281–315. DOI: https://doi.org/10.1093/sf/67.2.281.
- Miller, H.J. 2004. “Tobler’s first law and spatial analysis.” Annals of the association of American geographers 94(2): 284–289. DOI: https://doi.org/10.1111/j.1467-8306.2004.09402005.x.
- Mucciardi, M. (2008a). “Use of a flexible weight matrix in a local spatial statistic.” In: First joint meeting of the Société Francophone de Classification and the Classification and Data Analysis Group of the Italian Society of Statistics. 5: 385–388. Naples: Edizioni Scientifiche Italiane. DOI: https://doi.org/10.1007/978-3-642-13312-1.
- Mucciardi, M. (2008b). “Geographic information and global index of spatial variability.” Proceedings of the VI International Conference on Stochastics Geometry, Convex Bodies, Empirical Measures. In Rendiconti del Circolo dei Matematici di Palermo 80: 241–250.
- Mucciardi, M., and F. Benassi. 2023. “Measuring the spatial concentration of population. A new approach based on the graphical representation of the Gini index.” Quality and Quantity. DOI: https://doi.org/10.1007/s11135-022-01607-2.
- Mucciardi, M., and P. Bertuccelli. 2007. “S-Joint: a new software for the analysis of spatial data”. In Proceedings of the Italian Statistical Society Annual Conference, Venice, 6–8 June: 647–648. Available at: http://sis2007.unive.it/.
- Novelli, E. and S. Ocelli. 1999. “Describing spatial patterns’ profile: diversification measure.” European Journal of Geography. DOI: https://doi.org/10.4000/cybergeo.4930.
- Panzera, D., and P. Postiglione. 2020. “Measuring the spatial dimension of regional inequality: An approach based on the Gini correlation measure.” Social Indicators Research 148(2): 379–394. DOI: https://doi.org/10.1007/s11205-019-02208-7.
- Pearl, R., and L.J. Reed. 1920. “On the rate of growth of the population of the USA since 1970 and its mathematical representation.” Proceedings of the National Academy of Science 6: 275-288. DOI: https://doi.org/10.1073/pnas.6.6.275.
- Pirrotta, G. 2022. The Spatial Gini Index, a Python library to compute a new indicator to measure the spatial concentration. Available at: https://github.com/gpirrotta/spatial-gini-index.
- Reardon, S.F., and D. O’Sullivan. 2004. “Measures of spatial segregation.” Sociological Methodology 34(1): 121–162. DOI: https://doi.org/10.1111/j.0081-1750.2004.00150.x.
- Rey, S.J., and L. Anselin. 2010. “PySAL: A Python Library of Spatial Analytical Methods.” In Handbook of Applied Spatial Analysis, edited by M. Fischer, and A. Getis. Springer, Berlin, Heidelberg. DOI: https://doi.org/10.1007/978-3-642-03647-7_11.
- Rey, S.J., and R.J. Smith. 2013. “A spatial decomposition of the Gini coefficient.” Letters in Spatial and Resource Sciences 6(2): 55–70. DOI: https://doi.org/10.1007/s12076-012-0086-z.
- Strozza, S., F. Benassi, R. Ferrara, and G. Gallo. 2016. “Recent demographic trends in the major Italian urban agglomerations: The role of foreigners.” Spatial Demography 4(1): 39–70. DOI: https://doi.org/10.1007/s40980-015-0012-2.
- Tobler, W.R. 1970. “A computer movie simulating urban growth in the Detroit region.” Economic Geography 46: 234–240. DOI: https://doi.org/10.2307/143141.
- Verhulst, P.F. 1838. “Notice sur la loi que la population poursuit dans accroissement.” Correspondance Mathématique et Physique 10: 113-121.
- Voss, P.R. 2007. “Demography as a spatial social science.” Population research and policy review 26(5): 457–476. DOI: https://doi.org/10.1007/s11113-007-9047-4
- Wright, J.K. 1937. “Some measures of distributions.” Annals of the Association of American Geographers 27(4): 177–211.
- Virtanen, P., R. Gommers, T.E. Oliphant, M. Haberland, T. Reddy, D. Cournapeau, E. Burovski, P. Peterson, W. Weckesser, J. Bright, S.J. van der Walt, M. Brett, J. Wilson, K.J. Millman, N. Mayorov, A.R.J. Nelson, E. Jones, R. Kern, E. Larson, C.J. Carey, I˙. Polat, Y. Feng, E.W. Moore, and J. VanderPlas. 2020. “SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python.” Nature Methods, 17: 261–272. DOI: https://doi.org/10.1038/s41592-019-0686-2.
- Zenga, M. 1984. “Proposta per un indice di concentrazione basato sui rapporti fra quantili di popolazione e quantili di reddito.” Giornale degli Economisti e Annali di Economia 43(5/6): 301–326. Available at: http://www.jstor.org/stable/23246074.
- Zenga, M. 1985. “Un secondo indice di concentrazione basato sui rapporti fra quantili di popolazione e quantili di reddito.” Rivista di Statistica Applicata 18: 143–154.