Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Scaling Law between Urban Electrical Consumption and Population in China

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_84,
        author={Xiaowu Zhu and Aimin Xiong and Liangsheng Li and Maoxin Liu and X. Chen},
        title={Scaling Law between Urban Electrical Consumption and Population in China},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={population electrical consumption scaling law urban growth},
        doi={10.1007/978-3-642-02466-5_84}
    }
    
  • Xiaowu Zhu
    Aimin Xiong
    Liangsheng Li
    Maoxin Liu
    X. Chen
    Year: 2012
    Scaling Law between Urban Electrical Consumption and Population in China
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_84
Xiaowu Zhu,*, Aimin Xiong1,*, Liangsheng Li2,*, Maoxin Liu2,*, X. Chen2,*
  • 1: Beijing Normal University
  • 2: Chinese Academy of Sciences
*Contact email: zxw@itp.ac.cn, xiong@itp.ac.cn, liliangsheng@itp.ac.cn, mxliu@itp.ac.cn, chenxs@itp.ac.cn

Abstract

The relation between the household electrical consumption and population for Chinese cities in 2006 has been investigated with the power law scaling form . It is found that the Chinese cities should be divided into three categories characterized by different scaling exponent . The first category, which includes the biggest and coastal cities of China, has the scaling exponent > 1. The second category, which includes mostly the cities in central China, has the scaling exponent  ≈ 1. The third category, which consists of the cities in northwestern China, has the scaling exponent < 1 . Using a urban growth equation, different ways of city population evolution can be obtained for different . For < 1 , population evolutes always to a fixed point population from below or above depending on the initial population. For > 1, there is also a fixed point population . If the initial population (0) >  , the population increases very fast with time and diverges within a finite time. If the initial population (0) <  , the population decreases with time and collapse finally. The pattern of population evolution in a city is determined by its scaling exponent and initial population.