Background and Objective: The increasing growth of urban environments has brought environmental problems to cities in the 21st century. These problems have led to the instability of urban environments. Various approaches have been proposed to achieve urban balance and sustainability, one of which is ecological city. The aim of this research is to investigate the role of physical development and urban density in achieving ecological development in the city of Dorche.
Methodology: The research method in the present study is quantitative in terms of paradigm, applied in terms of purpose, and descriptive-analytical in nature. The method of data collection was library and survey; Shannon and Holdern entropy model was used to evaluate urban sprawl, and GIS and SPSS software were used to analyze the data.
Results and findings: The results of the research through the Shannon entropy model show that the value of H between 1390 and 1400 is 1.5165 and 1.4084 respectively and the value of Ln (7) is 1.9459 and the entropy coefficient has decreased between 1390 and 1400; the results of the Holdern model show that between 1335 and 1400, about 92 percent of the city's physical growth was related to population growth and 8 percent was related to the city's horizontal and spiral growth; therefore, the conditions for the formation of mixed and intensive use in terms of ecological structure are available in this city. Also, according to the studies conducted from 1390 to today (1404), urban growth has been controlled and the area of the city's boundary has decreased by 36 hectares compared to the area approved in previous plans, and the horizontal and irregular expansion of the city has been prevented; In fact, this change has caused the city to move towards a compact city. This type of growth is in line with its ecological potential and can contribute to the ecological development and sustainability of the city economically, physically, and socially.