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Use of Constraints in the Hierarchical Aggregation Procedure Intramax Cover

Use of Constraints in the Hierarchical Aggregation Procedure Intramax

By: Samo Drobne and  Mitja Lakner  
Open Access
|Oct 2016

References

  1. 1. Abler, R., Adams, J. S., Gould, P. (1972), “Spatial organization”, London, Prentice-Hall.
  2. 2. Andersen, A. K. (2002), “Are commuting areas relevant for the delimitation of administrative regions in Denmark?”, Regional Studies, Vol. 36, No. 8, pp. 833–844.10.1080/0034340022000012289
  3. 3. Ball, R. M. (1980), “The use and definition of Travel-to-Work areas in Great Britain: some problems”, Regional Studies, Vol. 14, No. 2, pp. 125–139.10.1080/09595238000185121
  4. 4. Brown, P. J. B., Hincks, S. (2008), “A framework for housing market area delineation: principles and application”, Urban Studies, Vol. 45, No. 11, pp. 2225–2247.10.1177/0042098008095866
  5. 5. Brown, L. A., Holmes, J. (1971), “The delimitation of functional regions, nodal regions, and hierarchies by functional distance approaches”, Journal of Regional Science, Vol. 11, No. 1, pp. 57–72.10.1111/j.1467-9787.1971.tb00240.x
  6. 6. Brown, P. J. B., Pitfield, D. E. (1990), “The Intramax derivation of commodity market structures from freight flow data”, Transportation Planning and Technology, Vol. 15, No. 1, pp. 59–81.10.1080/03081069008717440
  7. 7. Casado-Díaz, J. M. (2000), “Local labour market areas in Spain: A case study”, Regional Studies, Vol. 34, No. 9, pp. 843–856.10.1080/00343400020002976
  8. 8. Casado-Díaz, J. M., Coombes, M. G. (2011), “The delineation of 21st century local labour market areas: a critical review and a research agenda”, Boletín de la Asociación de Geógrafos Españoles, Vol. 57, pp. 7–32.
  9. 9. Coombes, M. G., Bond, S. (2008), “Travel-to-work areas: the 2007 review”, London, Office for National Statistics, 58 pp, available at http://www.istat.it/it/files/2014/12/final_TTWA_report.doc (January 28, 2016).
  10. 10. Coombes, M. G., Dixon, J. S., Goddard, J. B., Openshaw, S., Taylor, P. J. (1979), “Daily urban systems in Britain: from theory to practice”, Environment and Planning A, Vol. 11, No. 5, pp. 565–574.10.1068/a110565
  11. 11. Coombes, M. G., Green, A. E., Openshaw, S. (1986), “An efficient algorithm to generate official statistical reporting areas: the case of the 1984 travel-to-work-areas revision in Britain”, Journal of the Operational Research Society, Vol. 37, No. 10, pp. 943–953.10.1057/jors.1986.163
  12. 12. Cörvers, F., Hensen, M., Bongaerts, D. (2009), “Delimitation and coherence of functional and administrative regions”, Regional Studies, Vol. 43, No. 1, p. 19–31.
  13. 13. Daras, K. (2005), “An information statistics approach to zone design in the geography of health outcomes and provision”, PhD dissertation, Newcastle, University of Newcastle.
  14. 14. De Jong., T., Van der Vaart, N. (2013), “Manual Flowmap 7.4.2”, Faculty of Geographical Sciences, Utrecht University, The Netherlands, available at http://flowmap.geo.uu.nl/downloads/FM742_Manual.pdf (January 28, 2016).
  15. 15. Drobne, S., Bogataj, M. (2012a), “A method to define the number of functional regions: An application to NUTS 2 and NUTS 3 levels in Slovenia” = “Metoda opredelitve števila funkcionalnih regij: Aplikacija na ravneh NUTS 2 in NUTS 3 v Sloveniji”, Geodetski vestnik, Vol. 56, No. 1, pp. 105–150.10.15292/geodetski-vestnik.2012.01.105-127
  16. 16. Drobne, S., Bogataj, M. (2012b), “Evaluating functional regions”, in Babić, Z. et al. (Eds.), 14th International conference on operational research, Trogir, Croatia, September 26–28, 2012, Croatian operational research review, Vol. 3, pp. 14–26, available at http://hrcak.srce.hr/file/142254 (January 28, 2016).10.2478/v10305-012-0009-x
  17. 17. Drobne, S., Bogataj, M. (2014), “Regions for servicing old people: case study of Slovenia”, Business systems research journal, Vol. 5, No. 3, pp. 19–36.10.2478/bsrj-2014-0017
  18. 18. Drobne, S., Bogataj, M. (2015), “Optimal allocation of public service centres in the central places of functional regions”, IFAC-PapersOnLine Vol. 48, No. 3, pp. 2362–2367.10.1016/j.ifacol.2015.06.441
  19. 19. Drobne, S., Lakner, M. (2016), “Intramax and other objective functions”, Moravian Geographical Reports, Vol. 24, to be appeared.10.1515/mgr-2016-0007
  20. 20. Drobne, S., Lisec, A., Konjar, M., Zavodnik Lamovšek, A., Pogačnik, A. (2009), “Functional vs. administrative regions: case of Slovenia”, in Vujošević, M. (Ed.), Thematic Conference Proceedings, Vol. 1, Belgrade, Institute of architecture and urban & spatial planning of Serbia, pp. 395–416.
  21. 21. Drobne, S., Konjar, M., Lisec, A., Pichler Milanović, N., Zavodnik Lamovšek, A. (2010a), “Functional regions defined by urban centres of (inter)national importance – the case of Slovenia”, in Schrenk, M. (Ed.), Popovich, V. V. (Ed.), Zeile, P. (Ed.), Liveable, healthy, prosperous cities for everyone, Real Corp 2010, Proceedings 2010, 15th International conference on urban planning, regional development and information society, May 18 – 20, 2010, Wien, Austria, pp. 295–304.
  22. 22. Drobne, S., Konjar, M., Lisec, A. (2010b), “Razmejitev funkcionalnih regij Slovenije na podlagi analize trga dela = Delimitation of functional regions of Slovenia based on labour market analysis”, Geodetski vestnik, Vol. 54, No. 3, pp. 481–500.10.15292/geodetski-vestnik.2010.03.481-500
  23. 23. Farmer, C. J. Q., Fotheringham, A. S. (2011), “Network-based functional regions”, Environment and Planning A, Vol. 43, No. 11, pp. 2723–2741.10.1068/a44136
  24. 24. Feldman, O., Simmonds, D., Troll, N., Tsang, F. (2005), “Creation of a system of functional areas for England and Wales and for Scotland”, paper presented at European Transport Conference, October 3–5, 2005, Strasbourg, France, available at: http://abstracts.aetransport.org/paper/index/id/2284/confid/11 (January 28, 2016).
  25. 25. Flórez-Revuelta, F., Casado-Díaz, J. M., Martínez-Bernabeu, L. (2008), “An evolutionary approach to the delineation of functional areas based on travel-to-work flows”, International Journal of Automation and Computing, Vol. 5, No. 1, pp. 10–21.10.1007/s11633-008-0010-6
  26. 26. Fowlkes, E. B., Mallows, C. L. (1983), “A method for comparing two hierarchical clusterings”, Journal of the American Statistical Association, Vol. 78, No. 383, pp. 553–569.10.1080/01621459.1983.10478008
  27. 27. Fukumoto, J., Okamoto, Y., Ujiie, A. (2013), “A modularity approach to the delineation of functional regions from spatial interaction data”, in Proceedings of The 13th World Conference on Transportation Research in Rio de Janeiro, Brazil, July 15–18, 2013, COPPE – Federal University of Rio de Janeiro, Brazil, available at http://www.wctrs-society.com/wp/wp-content/uploads/abstracts/rio/selected/3377.pdf (January 28, 2016)
  28. 28. Goetgeluk, R., de Jong, T. (2007), “What about the spatial dimension of subsidiarity in housing policy?”, paper presented at ENHR 2007 International Conference on ‘Sustainable Urban Areas’, June 22, 2007, Rotterdam, Netherlands, available at https://www.yumpu.com/en/document/view/26672955/what-about-the-spatial-dimension-of-subsidiarity-in-housing-policy (January 28, 2016).
  29. 29. Goodman, J. F. B. (1970), “The definition and analysis of local labour markets: some empirical problems”, British Journal of Industrial Relations, Vol. 8, No. 2, pp. 179–196.10.1111/j.1467-8543.1970.tb00968.x
  30. 30. Haggett, P. (1965), “Locational network analysis in human geography”, London, Arnold.
  31. 31. Hirst, M. A. (1977), “Hierarchical aggregation procedures for interaction data: a comment”, Environment and Planning A, Vol. 9, No. 1, pp. 99–103.10.1068/a090099
  32. 32. Jaegal, Y. (2013). “Delineating housing market areas in the Seoul metropolitan area using a geo-computational approach”, Journal of the Association of Korean Geographers, Vol. 2, No. 1, pp. 7–20.
  33. 33. Karlsson, C., Olsson, M. (2006), “The identification of functional regions: theory, methods, and applications”, The Annals of Regional Science, Vol. 40, No. 1, pp. 1–18.10.1007/s00168-005-0019-5
  34. 34. Kim, H., Chun, Y., Kim, K. (2015), “Delimitation of functional regions using a p-regions problem approach”, International Regional Science Review, Vol. 38, No. 3, pp. 235–263.10.1177/0160017613484929
  35. 35. Kohl, T., Brouver, A. E. (2014), “The development of trade blocs in an era of globalisation”, Environment and Planning A, Vol. 46, No. 7, pp. 1535–1553.10.1068/a46261
  36. 36. Koo, H. (2012), “Improved hierarchical aggregation methods for functional regionalization in the Seoul metropolitan area. Journal of the Korean Cartographic Association, Vol. 12, No. 2, p. 25–35.
  37. 37. Konjar, M., Lisec, A., Drobne, S. (2010), “Methods for delineation of functional regions using data on commuters”, in Painho, M. (Ed.), Santos, M. Y. (E.), Pundt, H. (Ed.), Geospatial thinking, Proceedings of the 13th AGILE International Conference on Geographic Information Science, May 10–14, 2010, Guimarães, Portugal, pp. 1–10, available at http://www.agile-online.org/Conference_Paper/CDs/agile_2010/ShortPapers_PDF/93_DOC.pdf (January 28, 2016).
  38. 38. Koo, H. (2012), “Improved hierarchical aggregation methods for functional regionalization in the Seoul metropolitan area”, Journal of the Korean Cartographic Association, Vol. 12, No. 2, pp. 25–35.
  39. 39. Krygsman, S., de Jong, T., Nel, J. (2009), “Functional transport regions in South Africa: an examination of national commuter data”, paper presented at the 28th Annual Southern African Transport Conference, July 6-9, 2009, Pretoria, South Africa, pp. 144–154, available at http://repository.up.ac.za/bitstream/handle/2263/11952/Krygsman_Functional%282009%29.pdf?sequence=1&isAllowed=y (January 28, 2016).
  40. 40. Landré, M., Håkansson, J. (2013), “Rule versus interaction function: evaluating regional aggregations of commuting flows in Sweden”, European Journal of Transport and Infrastructure Research, Vol. 13, No. 1, pp. 1–19.10.18757/EJTIR.2013.13.1.2985
  41. 41. Manley, E. (2014), “Identifying functional urban regions within traffic flow”, Regional Studies, Regional Science, Vol. 1, No. 1, pp. 40–42.10.1080/21681376.2014.891649
  42. 42. Masser, I., Brown, P. J. B. (1975), “Hierarchical aggregation procedures for interaction data”, Environment and Planning A, Vol. 7, No. 5, pp. 509–523.10.1068/a070509
  43. 43. Masser, I., Brown, P. J. B. (1977), “Spatial representation and spatial interaction”, Papers of the Regional Science Association, Vol. 38, No. 1, pp. 71–92.10.1007/BF01933513
  44. 44. Masser, I., Scheurwater, J. (1980), “Functional regionalisation of spatial interaction data: an evaluation of some suggested strategies”, Environment and Planning A, Vol. 12, No. 12, pp. 1357–1382.10.1068/a121357
  45. 45. Mitchell, W., Stimson, R. (2010), “Creating a new geography of functional economic regions to analyse aspects of labour market performance in Australia”, Working Paper No. 10-09, Centre of Full Employment and Equity, Newcastle, November 2010.
  46. 46. Mitchell, W., Watts, M. (2010), “Identifying functional regions in Australia using hierarchical aggregation techniques”, Geographical Research, Vol. 48, No. 1, pp. 24–41.10.1111/j.1745-5871.2009.00631.x
  47. 47. Mitchell, W., Bill, A., Watts, M. (2007), “Identifying functional regions in Australia using hierarchical aggregation techniques”, Working Paper No. 07-06, Centre of Full Employment and Equity, Newcastle, November 2007.
  48. 48. Mitchell, W., Baum, S., Flanagan, M., Hannan, M. (2013), “CofFEE Functional Economic Regions”, AURIN project, Centre of Full Employment and Equity, Darwin, Australia, available at http://e1.newcastle.edu.au/coffee/functional_regions/ (January 28, 2016).
  49. 49. Nel, J. H., Krygsmany, S. C., de Jong, T. (2008), “The identification of possible future provincial boundaries for South Africa based on an Intramax analysis of journey-to-work data”, Orion, Vol. 24, No. 2, pp. 131–156.10.5784/24-2-64
  50. 50. OECD (2002), “Redefining territories – the functional regions”, Paris, OECD Publishing.
  51. 51. Poon, J. P. (1997), “The cosmopolitanization of trade regions: global trends and implications, 1965–1990”, Economic Geography, Vol. 73, No. 4, pp. 390–404.10.2307/144560
  52. 52. Slater, P. B. (1975), “A hierarchical regionalisation of Russian administrative units using 1965-1969 migration data”, Soviet Geography, Vol. 16, No. 7, pp. 453–46510.1080/00385417.1975.10640088
  53. 53. SMARS (2016), Digital data on territorial units of Slovenia, Data on administrative services, Surveying and Mapping Authority of the Republic Slovenia, Ljubljana, available at http://www.gu.gov.si/en/ (January 30, 2016).
  54. 54. Smart, M. W. (1974), “Labour market areas: uses and definition”, Progress in Planning, Vol. 2, No. 4, pp. 239–353.10.1016/0305-9006(74)90008-7
  55. 55. SORS (2016), Indeks delovne mobilnosti, občine, Slovenija, 2011 (Job ratio, municipalities, Slovenia, 2011, in Slovene only), Statistical office of Republic Slovenia, Ljubljana, available at http://www.stat.si/obcine/Vsebina.aspx?leto=2013&ClanekNaslov=TrgDelaMigracijeIndeks (January 30, 2016).
  56. 56. SPRS (2004), “Spatial development strategy of Slovenia”, Ministry of the Environment, Spatial Planning and Energy, Ljubljana, available at http://www.mop.gov.si/fileadmin/mop.gov.si/pageuploads/publikacije/drugo/en/sprs_eng.pdf (January 30, 2016).
  57. 57. Ullman, E. L. (1980), “Geography as spatial interaction”, Seattle, University of Washington Press.
  58. 58. Van der Laan, L., Schalke, R. (2001), “Reality versus policy: the delineation and testing of local labour market and spatial policy areas”, European Planning Studies, Vol. 9, No. 2, pp. 201–221.10.1080/09654310123131
  59. 59. Vinh, N. X. (2010), “Information theoretic methods for clustering with applications to microarray data”, PhD dissertation, Sydney, The University of New South Wales.
  60. 60. Vinh, N. X., Epps, J., Bailey, J. (2010), “Information theoretic measures for clusterings comparison: variants, properties, normalization and correction for chance”, Journal of Machine Learning Research, Vol. 11, pp. 2837–2854.
  61. 61. Wallace, D. L. (1983), “A method for comparing two hierarchical clusterings: comment”, Journal of the American Statistical Association, Vol. 78, No. 383, pp. 569–576.10.2307/2288118
  62. 62. Watts, M. (2013), “Assessing different spatial grouping algorithms: an application to the design of Australia’s new statistical geography”, Spatial Economic Analysis, Vol. 8, No. 1, pp. 92–112.10.1080/17421772.2012.753637
DOI: https://doi.org/10.1515/bsrj-2016-0009 | Journal eISSN: 1847-9375 | Journal ISSN: 1847-8344
Language: English
Page range: 5 - 22
Submitted on: Feb 12, 2016
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Accepted on: Jul 10, 2016
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Published on: Oct 17, 2016
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2016 Samo Drobne, Mitja Lakner, published by IRENET - Society for Advancing Innovation and Research in Economy
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.