The existence of a regular urban hierarchy results in the distribution of goods and services to the entire community and the balanced distribution of facilities and services to all parts of a region. The urban network is not just a collection of physical elements, and the role and importance of each settlement is the extent and dimensions of communication and flow. They set up an open system. Greater cities, with more concentration and concentration, apply their domination to smaller cities. This research is purpose-oriented, applied in terms of nature and method of descriptive-analytical type. In this research, the survey indicators were collected in two stages through a study of extracted from available sources; research plans, statistics, books and expert opinions, and finally, using the Lorenz curve models, the Gini coefficient , Entropy coefficient and coefficient of elasticity of the city of Khuzestan. The results showed that the study of the urban dynasty of Khuzestan province during 1335-1383 based on the models showed the imbalance in the urban system and the concentration of population in the cities above the urban hierarchy system, and especially the first city of the province. Based on the model, there is no reasonable relationship between cities and their rank. The city has maintained its focus on other cities by concentrating its facilities and services at different levels. Also, according to the calculations, the cities of Ahvaz, Dezful, Abadan and Mahshahr, Ramhormoz, Andimeshk, Khorramshahr, Izeh, Shushtar and Behbahan are the population potential And the cities of Bidabad, Bali, Yazdno and Abadan have a much lower population density. Based on the results of calculations of the relative entropy of the population of the Stoa cities of Khuzestan, it is indicative of a movement towards increasing concentration of population and imbalance.
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