Applied Research in Geographical Sciences

Applied Research in Geographical Sciences

The exploitation of “Grade of Membership (GoM) model” and “Combined Analysis method” in analysing of urban dynamics and urban hierarchy in Khorasan region (1956-2016)

Author
Assistant Professor, Kharazmi University
Abstract
Concerning the importance of urban network studies and the role of hierarchy system in population decentralization in metropolitan areas, this paper by using acknowledged indicators and Grade of Membership (GoM) model and using Combined Analysis method has tried to find the changes in urban hierarchy of Khorasan region during the period 1956-2016. The outcomes show that urban system in Khorasan region as the one in the country was afflicted with inconsequentiality by 1986. However, during the period 1986-2006, the urban network in Khorasan region tended to reach to an equilibrium. Nevertheless, it has gone toward an imbalance during the period 2006-16. The outcomes also depict that the models and indicators did not work coordinated. While some indicators (such as Herfindahl and Entropy indexes) showed that, there were an equilibrium among the urban network in the region, some other (such as Primate City and Centrality indicators) showed increasing centralization and inconsequentiality. Accordingly, the study used “GoM model” and “Combined Analysis method” for the final analysis. The GoM used three variables that aimed to make the model more reliable: The Prime City Indicator, the Centrality Indicator and Equilibrium Indicator. With this methodological novelty, the analysis of the hierarchical patterns represented in the model by the multiple profiles were closer to what could be understood as a "methodological ideal", difficult to be applied empirically due to the complexity of the subject, but included in studies theoretically based. As for future studies, which will seek to understand the hierarchical urban organization of other regions of the country and of the world, these indicators may be incorporated if adapted to the regional reality.
Keywords

Cassidy, F.; Pieper, C. F.; Carrol B. J. (2001). Subtypes of manual determined by Grade of Membership Analysis. Neuropsychopharmacology, Hampshire, v. 25, n.3, p.373-383, Sept. 2001.
De Vries, J. (1984). European urbanization, 1500-1800. Methuen, London.
Deichmann, U and Henderson, V. (2000). Urban and Regional Dynamics in Poland. Policy Research Working Papers, September 2000.
Jefferson, M. (1939). The law of the primate city. Geographical Review, 1989.
Kovtun, M., et al. (2018). Grade of membership analysis: One possible approach to foundations. Department of Statistics, Center for Demographic Studies, Duke University, Durham, NC. And Department of Statistics, Brigham, Young University, Provo, UT. October 30, 2018.
Manton, K. G.; Woodbury, M. A.; Tolley, H. D. (1994). Statistical application using fuzzy sets. New York: John Wiley & Sons, 1994.
Pacione, M. (2005). Urban Geography: A Global Perspective. London and New York, Rout ledge Press, Second Edition.
Plane, D. A., et al. (2005). Migration up and down the urban hierarchy and across the life course. PNAS October 25, 2005. 102 (43) 15313-15318, published ahead of print October 17, 2005. https://doi.org/10.1073/pnas.0507312102.
Pumain, D. (2006). Alternative explanations of hierarchical differentiation in urban systems. Pumain D. Hierarchy in natural and social sciences, 3, Springer, Pp. 169-222, 2006, Methodos series. (halshs-00145933).
Pumain, D., and Haag, G. (1994). Spatial patterns of urban systems and multifractality. in Evolution of Natural Structures, 3rd International Symposium of the Sonderforschungsbereich 230, Universität Stuttgart, 4-7 october, Natürliche Konstruktionen, Mitteilungen des SFB 230, Heft 9: 243-52.
Sathler, D., et al. (2010). Urban hierarchy in the Brazilian Amazon. Rev. bras. Estud. Popul. Vol. 27 no. 2, Sao Paulo, July/Dec. 2010.
Sawyer, D. O.; Leite, I. C.; Alexandrino, R. (2002). Perfis de utilização de serviços de saúde no Brasil. Ciência & Saúde Coletiva, Rio de Janeiro, v.7, n.4, p.757-776, 2002.
United Nations. (2004). Urban hierarchy. Annual Report, Population Division, World.
Whitehand, J.W.R. (1987). The changing face of cities. Basil Blackwell, Oxford.
Wilson, A.G. (1970). Entropy in urban and regional modelling. Pion, London.
Woodbury, M. A.; Manton, K. G. (1989). Grade of membership analysis of depression-related psychiatric disorders. Sociological Methods & Research, Beverly Hills, v.18, n.1, p. 126-163, Aug. 1989.
Woodbury, M., & Clive, J. (1974) Clinical pure types as a fuzzy partition. Journal of Cybernetics 4, 111–121.
www.mpo-kh.ir
Xie,Y and others. (2007). The urban system in west china: a case study along the mid- section of the ancient silk road- He-Xi corridor. The Review of Income and Wealth, March 2007, 53 (1): 1-204.