Analysis of Physical Expansion and Sprawl Growth Factors of Sari City Using Shannon and Heldern Entropy Models

population growth and rapid urbanization growth in recent decades has not only led to unbalanced physical expansion of cities, but also the growth and development of cities is heavily influenced. As cities developed with no plans and urban areas in a short time reached their primary area several times. Sari, like many other cities in the country is not immune from these changes. So that the city population has increased by 16 times over the last fifty years. The increasing population growth, uncontrolled physical expansion has resulted in the city. In order to prevent these inefficiencies of urban problems, the present study was done to determine the factors influencing the process of expanding Sari and to find out proposed solutions to fix and prevent this process. the method used in this study, descriptive–analytical method, to data analysis and heldern and Shannon entropy model is used and the results show that: 82% of the physical growth of the city between 2006-1956 was related to the population growth and the remaining 18 percent, is related to the horizontal growth and city sprawl, the metropolitan area of the city has denser structure and the surrounding areas have a more dispersed structure. Also the effects of synthetic and natural factors restricting Sari physical development has made the city exorbitance horizontal and linear developed. from the findings that could help prevent the horizontal development of the city, it could be said that we can make the city vertically developed rather than horizontal expansion, improvement and renovation of old texture of implementation and more use of the land, filling the empty spaces and etc.

Physical Development, Horizontal Growth and Distribution, Shannon-Heldern Entropy Models, Sari