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The temporal evolution of the city size distribution

机译:城市规模分布的时间演变

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We present an application of a growth model for a system of cities. This computer model simulates the evolution of systems with measurable entities (e.g. city size), and takes into account the growth of the entities in terms of size and number. It includes a random multiplicative process for the growth of individual entities and for the creation of new ones. We use a new mathematical expression with a positive exponent alpha (which we call the 'shape exponent') and additional three parameters, to describe the dynamics of the systems' size distributions through time. We compare the changes of a real system of cities and the model's results quantitatively and qualitatively. Our findings suggest that there is a good agreement at the macro level between the model and the real data.
机译:我们提出一种增长模型在城市系统中的应用。该计算机模型模拟具有可测量实体(例如城市规模)的系统的演化,并考虑实体在规模和数量方面的增长。它包括用于个体实体成长和创建新个体的随机乘法过程。我们使用具有正指数alpha(我们称其为“形状指数”)和其他三个参数的新数学表达式来描述系统随时间变化的尺寸分布。我们定量和定性地比较了实际城市系统的变化和模型的结果。我们的发现表明,在宏观层面上,模型与实际数据之间存在良好的一致性。

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