evaluation of mutual interaction between influential civic regions in east azerbaijan city network (applying the gravity model and process analysis methods)

there are continuous connections between a city and its periphery and the form of these relations varies. collection of these relations makes an influential area forming the various relations between the city and periphery. these relations are not the same and do not have unique concentration and density rather, they hey depend on population, geographic conditions and the role of the city in the special structure of the region. it is assumed that in eastern azerbaijan urban network, the civic dwellings are influenced by these different penetrative conditions. this study is descriptive- analytical and the data were collected through library studies, referring to statistic and maps. therefore, this study attempts to consider the penetration area of eastern azerbaijan cities relying on quantitative, statistic (gravity rule) and geographic (analyzing procedures) methods. the results of this study in supra- regional level among the province's central towns contiguous to tabriz indicates that the penetration areas of tabriz except euromieh have advanced toward other central towns (ardabil, zanjan, sanandaj) and inhibits their development and giving service to their own penetration areas. marand and bonab, in intraregional level among the five cities with more than 50 thousand population, have developed their penetration area and the penetration area of marageh, mianeh and ahar has been of benefit to tabriz and penetration area of 51 cities with less than 50 thousand population is of benefit to tabriz and to their disadvantage. also, considering towns with the some potential line, tabriz, marageh, bonab, marand, mianeh, ahar and sarab have the highest penetration and attraction coefficient. the same results are achieved with process analysis method that the penetration area of tabriz influences the whole region and the district towns of the province (maragch, marand, mianeh, ahar and bonab) have developed their own penetration area. in general, we can conclude that the results of the theoretical and experimental penetration area are the same.