The identifying spatial growth pattern of cities with Regard to quantities models: Tehran

The pattern of urban spatial- physical growth or form define as spetial pattern of human activities in specific time, and divided in two main forms: urban sprawl and compact city. The recognition of physical development pattern is a fundamental task for sustainable development of urban areas. Tehran selected as a case study and research method is analytical –descriptive method. 4 methods proposed by Tsai are used: agglomeration grade, equal distribution grade, density and metropolis size.The result of this research show that Tehran had a slow growth and compactness in the past, but along with speed urbanization and urban migration, area grow so fast than we can named it urban sprawl. Of course in recent years, it tended to compactness and agglomeration. In conclusion, regard to undesirable consequences of this growth pattern and for achieving to urban sustainable development, policies and strategies must used.