Skip to main content

Socioeconomic Zoning: Comparing Two Statistical Methods

  • Chapter
  • First Online:

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

The aim of this paper is to identify territorial areas and/or population subgroups characterized by situations of deprivation or strong social exclusion through a fuzzy approach that allows the definition of a measure of the degree of belonging to the disadvantaged group. Grouping methods for territorial units are employed for areas with high (or low) intensity of the phenomenon by using clustering methods that permit the aggregation of spatial units that are both contiguous and homogeneous with respect to the phenomenon under study. This work aims to compare two different clustering methods: the first based on the technique of SaTScan [Kuldorff: A spatial scan statistics. Commun. Stat.: Theory Methods 26, 1481–1496 (1997)] and the other based on the use of Seg-DBSCAN, a modified version of DBSCAN [Ester et al.: A density-based algorithm for discovering clusters in large spatial databases with noise. In: Proceeding of the 2nd International Conference on Knowledge Discovery and Data Mining, pp. 94–99 (1996)]. [The contribution is the result of joint reflections by the authors, with the following contributions attributed to Montrone (Sects. 5.1, 5.3.3 and 5.4) and to Perchinunno (Sects. 5.2, 5.3.1 and 5.3.2).]

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Aldstadt, J., Getis, A.: Using AMOEBA to create spatial weights matrix and identify spatial clusters. Geogr. Anal. 38, 327–343 (2006)

    Article  Google Scholar 

  2. Ankerst, M., Breunig, M.M., Kriegel, H.-P., Sander, J.: Optics: ordering points to identify the clustering structure. In: Proceedings of the SIGMOD’99, pp. 49–60. ACM, New York (1999)

    Google Scholar 

  3. Betti, G., Cheli, B., Lemmi, A.: Studi sulla povertà. Franco Angeli, Milano (2002)

    Google Scholar 

  4. Betti, G., Cheli, B.: Poverty dynamics in Great Britain, 1991–1997. A multidimensional, fuzzy and relative approach to analysis. In: Paper for the British Household Panel Survey Research Conference 2001 (BHPS – 2001), Colchester, 5–7 July 2001

    Google Scholar 

  5. Betti, G., Verma, V.: Measuring the degree of poverty in a dynamic and comparative context: a multidimensional approach using fuzzy set theory. In: Proceedings of the Sixth Islamic Countries Conference on Statistical Sciences (ICCS-VI), Lahore, pp. 289–301, 27–31 August 1999

    Google Scholar 

  6. Campobasso, F., Fanizzi, A., Perchinunno, P.: Homogenous urban poverty clusters within the city of Bari. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) Computational Science and Its Applications – ICCSA 2008, Part I. LNCS, vol. 5072, pp. 232–244. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Cerioli, A., Zani, S.: A fuzzy approach to the measurement of poverty. In: Dugum, C., Zenga, M. (eds.) Income and Wealth Distribution, Inequality and Poverty. Springer, Berlin (1990)

    Google Scholar 

  8. Cheli, B., Lemmi, A.: Totally fuzzy and relative approach to the multidimensional analysis of poverty. Econ. Notes 24(1), 115–134 (1995)

    Google Scholar 

  9. Desai, M.E., Shah, A.: An econometric approach to the measurement of poverty. Oxford Econ. Paper 40(3), 505–522 (1988)

    Google Scholar 

  10. Dubois, D., Prade, H.: Fuzzy Sets and Systems. Academic, Boston (1980)

    MATH  Google Scholar 

  11. Ester M., Kriegel H.-P., Sander J., Xu X.: A Density-Based Algorithm for Discovering Clusters in Large Spatial Databases with Noise, Proc. 2nd int. Conf. on Knowledge Discovery and Data Mining (KDD ‘96), Portland, Oregon, 1996, AAAI Press, 1996

    Google Scholar 

  12. Gailly, B., Hausman, P.: Désavantages relatifs à une mesure objective de la pauvreté. In: Sarpellon, G. (ed.) Understanding Poverty. Franco Angeli, Milano (1984)

    Google Scholar 

  13. Halkidi, M., Vazirgiannis, M.: Clustering validity assessment: finding the optimal partitioning of a data set. In: Proceedings of IEEE – International Conference on Data Mining (ICDM) Conference, California, pp. 187–194, November 2001

    Google Scholar 

  14. Halkidi, M., Batistakis, Y., Vazirgiannis, M.: On clustering validation techniques. J. Intell. Inf. Syst. 17(2–3), 107–145 (2001)

    Article  MATH  Google Scholar 

  15. Hinneburg, A., Keim, D.X.: An efficient approach to clustering in large multimedia databases with noise. In: Proceedings of the 4th International Conference on Knowledge Discovery and Datamining (KDD’98), New York, NY, pp. 58–65, September 1998

    Google Scholar 

  16. Hinneburg, A., Keim, D.: A general approach to clustering in large databases with noise. Knowl. Inf. Syst. 5(4), 387–415 (2003)

    Article  Google Scholar 

  17. Knox, E.G.: Detection of clusters. In: Elliott, P. (ed.) Methodology of Enquiries into Disease Clustering, pp. 17–20. Small Area Health Statistics Unit, London (1989)

    Google Scholar 

  18. Kuldorff, M.: A spatial scan statistics. Commun. Stat. Theory Methods 26, 1481–1496 (1997)

    Article  Google Scholar 

  19. Lemmi, A., Pannuzi, N., Mazzolli, B., Cheli, B., Betti, G.: Misure di povertà multidimensionali e relative: il caso dell’Italia nella prima metà degli anni’90. In: Quintano, C. (ed.) Scritti di Statistica Economica 3, 263–319 (1997)

    Google Scholar 

  20. Lemmi, A., Pannuzi, N.: Fattori demografici della povertà, Continuità e discontinuità nei processi demografici. L’Italia nella transizione demografica. 4 Rubettino, Arcavacata di Rende, pp. 211–228 (1995)

    Google Scholar 

  21. Perchinunno, P., Montrone, S., Ligorio, C., L’abbate, S.: Comparing SaTScan and Seg-DBSCAN methods in spatial phenomena. In: Proceedings Spatial Data Methods for Environmental and Ecological Processes, 2nd edn., pp. 115–118. CDP Service Editions, Foggia (2011)

    Google Scholar 

  22. Montrone, S., Bilancia, M., Perchinunno, P.: A model-based scan statistics for detecting geographical clustering of disease. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds.) Computational Science and Its Applications – ICCSA 2009, Part I. LNCS, vol. 5592, pp. 353–368. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  23. Montrone, S., Perchinunno, P., Rotondo, F., Torre, C.M., Di Giuro, A.: Identification of hot spots of social and housing difficulty in urban areas: scan statistic for housing market and urban planning policies. In: Murgante, B., Borruso, G., Lapucci, A. (eds.) Geocomputation and Urban Planning, Studies in Computational Intelligence, vol. 176, pp. 57–78. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  24. Montrone, S., Perchinunno, P., Torre, C.M.: Analysis of positional aspects in the variation of real estate values in an Italian Southern Metropolitan area. In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds.) Computational Science and Its Applications, ICCSA 2010. LNCS, vol. 6010, pp. 17–31. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  25. Montrone, S., Campobasso, F., Perchinunno, P., Fanizzi, A.: An analysis of poverty in Italy through a fuzzy regression model. In: Murgante, B., Gervasi, O., Iglesias, A., Taniar, D., Bernady, O., Apduhan B. (eds.) Computational Science and Its Applications – ICCSA 2011, Part I. LNCS, vol. 6782, pp. 342–355. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  26. Patil, G.P., Taillie, C.: Upper level set scan statistic for detecting arbitrarily shaped hotspots. Environ. Ecol. Stat. 11, 183–197 (2004)

    Article  MathSciNet  Google Scholar 

  27. Takahashi, K., Tango, T.: A flexibly shaped spatial scan statistic for detecting clusters. Int. J. Health Geogr. 4, 11–13 (2005)

    Article  Google Scholar 

  28. Towsend, P.: Poverty in the United Kingdom. Penguin, Harmondsworth (1979)

    Google Scholar 

  29. Waller, L.A., Gotway, C.A.: Applied Spatial Statistics for Public Health Data. Wiley, New York (2004)

    Book  MATH  Google Scholar 

  30. Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paola Perchinunno .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Italia

About this chapter

Cite this chapter

Montrone, S., Perchinunno, P. (2013). Socioeconomic Zoning: Comparing Two Statistical Methods. In: Montrone, S., Perchinunno, P. (eds) Statistical Methods for Spatial Planning and Monitoring. Contributions to Statistics. Springer, Milano. https://doi.org/10.1007/978-88-470-2751-0_5

Download citation

Publish with us

Policies and ethics