According to the the nationwide regional economic criteria for the classification, the country is divided into eight regions: Northeast Economic Zone, the northern coastal economic zone, the eastern coastal economic zone, the southern coastal economic zone, the middle reaches of the Yellow River Economic Zone, the middle reaches of the Yangtze River Economic Zone integrated economic area in the Southwest and the Northwest the Comprehensive Economic Zone. In each region in the use of GIS theory, methods, technical analysis of the quantitative relationship between the spatial distribution of population characteristics and related factors, the key indicators is closely related to the population distribution, to establish the mathematical model of the population, and verify the accuracy of the model of the regional population, and the regional distribution of population characteristics and influencing factors were analyzed. Authentication methods including correlation analysis of two independent samples T-test and population model data with census data, the specific conclusions of this paper are as follows: 1. Northeast Economic Zone key indicators: GDP (gross domestic product), jw (greater than 0 ℃ accumulated temperature) and residential area; population model: y = 0.165x _{ 1 } 5 x 10 ^{ -7 x 2 3.2608 17.495x 3 0.4796 170406.49 (x 1 of GDP, x 2 T-test results for jw x 3 in a residential area): sig value of 0.362 gt; 0.05 F value of 0.846, R 2 value of 0.8427; characteristics of population distribution: accumulated temperature higher, convenient transportation and population distribution in the plain areas to more intensive, accumulated temperature lower, the complex topography of hills and mountains The regional distribution of population scarce. 2. Northern coastal economic zone key indicators: GDP, the rail (railway length), river (rivers length) and plains area; population model: y = 0.164x 1 5.49x 2 1.055x 3 0.0002x 4 179954.93 (x 1 as GDP, x 2 is rail, x 3 for the river, x 4 T test results plains area): sig = 0.334 gt; 0.05, F value of 0.949, R 2 value of 0.6679; distribution of population characteristics: flat inland plains and coastal areas of economic development, transportation facilities, population distribution is relatively dense, sparse population distribution of landlocked mountainous, hilly areas. 3. Eastern coastal economic zone key indicators: GDP, arable land and residential area; Population Models: y: 126.953x 1 .5595 26.233x 0.4423 370.872x 3 0.3567 (x 1 GDP, x < sub> 2 for arable land, x 3 T-test results in a residential area): sig = 0.290 gt; 0.05, F value of 1.147, R < sup> 2 value of 0.6668; distribution of population characteristics: population distribution as a whole is more intensive, especially convenient transportation and developed economic regions population distribution was particularly intense. 4. Southern coastal economic zone key indicators: GDP, the water area and residential area; population model: y = 0.147x 1 176.828x the to .3658 6.3375x 3 0.5914 140903.47 (to GDP x 2 , x water area 3 in a residential area), T-test results: sig is 0.281 gt; 0.05, F value of 1.181, R 2 value of 0.6915; distribution of population characteristics: dense distribution of inland rivers, accumulated temperature lower areas of relatively dense population distribution, accumulated temperature and higher distribution of scarce hilly lowland area population. 5. The middle reaches of the Yellow River Economic Zone key indicators: GDP, DEM (average altitude) and residential area; Population model: y = 34.831x 1 0.7008 261398e , -0.0012x 2 0.000625x 3 47062.5 (x 1 of GDP, x 2 DEM x 3 in a residential area) T-test results: sig is 0.318 gt; 0.05, F value of 1.004, R 2 value of 0.8271; distribution of population characteristics: flat plateau or basin region, the transportation is convenient, relatively dense population distribution, western Inner Mongolia and mountainous hilly area population distribution is scarce. 6. The middle reaches of the Yangtze River Economic Zone key indicators: GDP, the water area of ??arable land; population model: y = 0.284x 1 0.000576x 2 0.000217x 328599.9 (x 1 of GDP, x 2 is the water area, x 3 arable land) T-test results: sig is 0.121 gt; 0.05, F value of 2.439, R 2 value of 0.4624; characteristics of population distribution: inland rivers intensive agriculture developed and convenient transportation areas population distribution is relatively dense, hilly region population distribution is relatively scarce. 7. Southwest Comprehensive Economic Zone key indicators: GDP, DEM and arable land; Population model: y = 65.632x The 0.664 174383e -0.0006x < sub> 2 45875.2e 10 x 3 -9 (x < sub> 1 to GDP, x 2 for DEM, x 3 for arable land) T-test results: sig = 0.108 gt; 0.05 , F value of 2.629, R 2 value of 0.8764; characteristics of population distribution: the flat landscape of plains, basins suitable for agricultural production activities, population distribution is relatively dense, complex terrain change such as hilly areas sparse population distribution. 8. The Northwest Economic Zone key indicators: GDP, DEM, arable land and residential area. Population model: y = 20.286x 1 .7178 104553.4e -0.0006x 2 11011.44e ( (10 -9 x 3 ) 10908.03e ( (2 × 10 < sup> -8 x 4 ) (x 1 for GDP, x 2 DEM, x 3 for arable land, the x 4 T-test results in a residential area): sig = 0.163 gt; 0.05, F value of 1.976, R 2 value of 0.6608; plateau of the population distribution characteristics: suitable climate and lower altitude, flat terrain Basin regional population distribution is relatively dense, high altitude and harsh climatic conditions the population distribution is extremely scarce.
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