河湟地区乡村聚落位序累积规模模型的实证研究

doi:10.11821/dlxb202106012

Abstract

Abstract:

Scientific determination of rural settlement system is one of the keys to implement the strategy of rural revitalization and promote the modernization of agriculture and rural areas. Meanwhile, understanding the distribution law of rural settlement size is helpful for the optimization of rural settlements. In order to provide a reliable theoretical basis for the study of rural settlement size distribution and the optimization of rural settlement system, this article took the Hehuang area as an example, and explored a more accurate expression and law of Rank Cumulative Size Model based on the original Rank Cumulative Size Model. Then we examined the applicability and accuracy of the model in rural settlement size distribution compared with the Rural Rank-Size Rule. We also studied the characteristics and evolution law of rural settlement size distribution in the study area. The results show that: (1) Rank Cumulative Size Model is a monotonously increasing concave function (P ≥ 1), and its expression varies with the change of the Pareto coefficient of rural settlements. When 1 ≤ P < 1.20225, S_i = aln(N_i) + b, there is a positive correlation between the fitting coefficient a and the size of first settlements. When P ≥ 1.20225, $S_i=be^{aln(N_i)}$ the coefficient of variation of settlement size and the size of the first settlements are negatively correlated with the fitting coefficient a, and positively correlated with the fitting coefficient b. (2) Rank Cumulative Size Model is more suitable for the study of rural settlement size distribution in Hehuang as it has better applicability and accuracy; while the Rural Rank-size Rule is not applicable. (3) The rural settlement size in Hehuang nearly shows the equilibrium distribution pattern of Pareto coefficient 2 and tends to be more concentrated. In the future, the rural settlements should be concentrated in areas with superior natural and socio-economic conditions, and the layout of regional rural settlements and villages should be planned reasonably. Based on this, we can develop a rural revitalization path with the harmonious coexistence between human and nature, as well as between urban and rural development.

Key words: rural settlements, size distribution, Rank Cumulative Size Model, Rural Rank-Size Rule, Hehuang area

HUANG Wanzhuang, SHI Peiji. An empirical study on rank cumulative size model of rural settlements in the Hehuang area[J].Acta Geographica Sinica, 2021, 76(6): 1489-.

Figures/Tables 10

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References 26

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假设分布特征	聚落规模的变异系数	拟合曲线形式	聚落体系	拟合曲线表达	R²
P=1	4.1032	线性	A	y=1E+07x+7E+06	0.9996
		线性	B	y=5E+06x+3E+06	0.9996
		指数	A	y=2E+07e^0.2148^x	0.9567
		指数	B	y=9E+06e^0.2148^x	0.9567
P=1.1	3.2589	线性	A	y=1E+07x-4E+06	0.9931
		线性	B	y=7E+06x-2E+06	0.9931
		指数	A	y=2E+07e^0.2625^x	0.9726
		指数	B	y=9E+06e^0.2625^x	0.9726
P=1.20225	2.6325	线性	A	y=2E+07x-2E+07	0.9819
		线性	B	y=1E+07x-9E+06
		指数	A	y=2E+07e^0.3082^x
		指数	B	y=9E+06e^0.3082^x
1.20225 < P < 1.20309	2.6325~2.6281	线性	A	y=2E+07x-2E+07	0.9819
		线性	B	y=1E+07x-9E+06
		指数	A	y=2E+07e^{(0.3082~0.3086)}^x
		指数	B	y=9E+06e^{(0.3082~0.3086)}^x
P=1.20309	2.6281	线性	A	y=2E+07x-2E+07	0.9819
		线性	B	y=1E+07x-9E+06
		指数	A	y=2E+07e^0.3086^x
		指数	B	y=9E+06e^0.3086^x
P=1.5	1.5917	线性	A	y=5E+07x-8E+07	0.9469
		线性	B	y=2E+07x-4E+07	0.9469
		指数	A	y=2E+07e^0.4206^x	0.9931
		指数	B	y=8E+06e^0.4206^x	0.9931
P=2	0.9025	直线	A	y=1E+08x-2E+08	0.9034
		直线	B	y=5E+07x-1E+08	0.9034
		指数	A	y=1E+07e^0.5509^x	0.9977
		指数	B	y=7E+06e^0.5509^x	0.9977
P=5	0.2385	直线	A	y=5E+08x-1E+09	0.8215
		直线	B	y=2E+08x-7E+08	0.8215
		指数	A	y=1E+07e^0.8136^x	0.9999
		指数	B	y=6E+06e^0.8136^x	0.9999
P趋于正无穷大	0	指数	A	y=1E+07e¹^x	1
P趋于正无穷大	0	指数	B	y=5E+06e¹^x	1

指标	1995	2005	2015	2018
聚落个数(个)	10364	12467	13138	12730
聚落总规模(km²)	1294.59	1504.80	1500.84	1487.09
平均聚落规模(km²)	0.1249	0.1207	0.1142	0.1168
首位聚落规模(km²)	2.0198	2.6728	2.3854	2.6293
最小聚落规模(km²)	0.0097	0.0097	0.0097	0.0097
聚落规模的变异系数	1.0161	1.0739	1.0437	1.0517

方程式	y = be^ax
系数	1995	2005	2015	2018
a	0.5487	0.5355	0.5452	0.5423
b	896.49	1057.20	934.26	967.38
R²	0.9860	0.9891	0.9907	0.9902

方程式	y = -ax+b
系数	1995	2005	2015	2018
a(10^-4)	2	2	2	2
b	3.4383	3.3897	3.3341	3.3505
R²	0.9408	0.9338	0.9327	0.9322
平均δ	0.9994	0.9995	0.9995	0.9995

An empirical study on rank cumulative size model of rural settlements in the Hehuang area

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