The Construction of a Mathematical Economic and GeographicalModel using the Complex System for an Economic Analysis of theUrban Formation Process and Its Computer Simulation
利用复杂系统对城市形成过程进行经济分析的数学经济和地理模型的构建及其计算机模拟
基本信息
- 批准号:22530242
- 负责人:
- 金额:$ 2.66万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for Scientific Research (C)
- 财政年份:2010
- 资助国家:日本
- 起止时间:2010 至 2012
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Based on a population movement model of the socio-dynamics, we built a mathematical economic and geographical model. In this study, I. Takagi, a mathematical economist, and M. Tabata, a mathematician whose specialty is numerical analysis have satisfactorily analyzed the model of the socio-dynamics from the viewpoints of an endogenous economic growth model and numerical analysis.In a mathematical model of population movement, it is difficult to calculate a population density function directly due to specificity of the distance and time lag effects. Therefore, traditional methods in numerical analysis could not be applied to the study and the research on this topic has been delayed for a long time. On the other hand, by the advancement of the mathematical statistics theory of computation, by using mathematical statistical pan-function of the population density function (capacity and entropy), the algorithm to evaluate latromathematical school agent based model has been developed. In calc … More ulating population density and regional real wage in the mathematical economic and geographical model, a program package for numerical analysis incorporated the highest calculation technique was used. Therefore, we could grasp the spatial and temporal change of population density real wages easily and precisely, and a population movement model came to be able to in this way chase the behavior of the model quickly even if we let an endogenous economic growth model be alliance in various form.We inspected whether the prototype model that we built is consistent with such models as von Thunen model,Dixit-Stiglitz model,and Simon model by a numerical value experiment. Then, we examined whether a big city was located in the core by a self-organization process pointed out by Krugman and whether we could explain in the prototype model that a formationprocess of Edge City where plural satellite cities were born in the outskirts built.We repeated a correction of the prototype model that we built and decided the final mathematics model. By a final mathematical model, we were able to explain the birth of the city, self-organization of the many hierarchical structure of the city, and a formation process of Edge City where satellite cities were born around metropolis. Less
在人口流动的社会动力学模型的基础上,建立了经济地理数学模型。在本研究中,I.数学经济学家Takagi和M.以数值分析为专长的数学家田端从内生经济增长模型和数值分析的观点出发,对社会动力学模型进行了令人满意的分析。在人口移动的数学模型中,由于距离和时滞效应的特殊性,直接计算人口密度函数是困难的。因此,传统的数值分析方法无法应用于该问题的研究,这一课题的研究一直被推迟了很长一段时间。另一方面,随着数理统计计算理论的发展,利用种群密度函数的数理统计泛函数(容量和熵),提出了基于Agent的数学学校模型的评价算法。在计算中 ...更多信息 在经济地理数学模型中计算人口密度和地区真实的工资,采用了一个包含最高计算技术的数值分析程序包。因此,我们可以方便而准确地把握人口密度真实的工资的时空变化,并且即使我们让一个内生经济增长模型以各种形式联合,人口流动模型也可以通过这种方式快速地追赶模型的行为。我们考察了我们所建立的原型模型是否与冯·图南模型、迪克西特-斯蒂格利茨模型、和Simon模型进行了数值实验。然后,我们考察了克鲁格曼提出的大城市是否通过自组织过程位于核心,以及在原型模型中是否可以解释边缘城市的形成过程,即多个卫星城市在郊区诞生,我们对所建立的原型模型进行了修正,并确定了最终的数学模型。通过最后的数学模型,我们能够解释城市的诞生,城市的许多层次结构的自组织,以及边缘城市的形成过程,即卫星城市围绕大都会诞生。少
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
A mathematical modeling approach to the formation of urban and rural areas: Convergence of global solutions of the mixed problem for the master equation in sociodynamics
- DOI:10.1016/j.nonrwa.2011.05.025
- 发表时间:2011-12
- 期刊:
- 影响因子:2
- 作者:M. Tabata;N. Eshima;I. Takagi
- 通讯作者:M. Tabata;N. Eshima;I. Takagi
Three Predictive Power measures for Generalized Linear Models : Entropy Coefficient of Determination, Entropy Correlation…
广义线性模型的三种预测功效测量:熵决定系数、熵相关性……
- DOI:
- 发表时间:2011
- 期刊:
- 影响因子:0
- 作者:M.Tabata;N.Eshima;I.Takagi
- 通讯作者:I.Takagi
Entropy coefficient of determination for generalized linear models
- DOI:10.1016/j.csda.2009.12.003
- 发表时间:2010-05-01
- 期刊:
- 影响因子:1.8
- 作者:Eshima, Nobuoki;Tabata, Minoru
- 通讯作者:Tabata, Minoru
An Extension of Krugman's Core-Periphery Model to the Case of a Continuous Domain: Existence and Uniqueness of Solutions of a System of Nonlinear Integral Equations in Spatial Economics
克鲁格曼核心-外围模型对连续域情况的推广:空间经济学中非线性积分方程组解的存在唯一性
- DOI:
- 发表时间:2013
- 期刊:
- 影响因子:0
- 作者:M.Tabata and I.Takagi
- 通讯作者:M.Tabata and I.Takagi
Three predictive power measures for generalized linear models : Entropy coefficient of determination, entropy correlation coefficient and regression correlation coefficient
广义线性模型的三种预测能力度量:熵决定系数、熵相关系数和回归相关系数
- DOI:10.1016/j.csda.2011.05.018
- 发表时间:2011
- 期刊:
- 影响因子:1.8
- 作者:Nobuoki Eshima;Minoru Tabata
- 通讯作者:Minoru Tabata
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TAKAGI Ichiro其他文献
TAKAGI Ichiro的其他文献
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{{ truncateString('TAKAGI Ichiro', 18)}}的其他基金
The Construction of a Mathematical Economic Model using the Complex System for an Economic Analysis Concerning the Decreasing Number of Labors with the Declining Birthrates
用复杂系统构建数学经济模型对劳动力数量减少和少子化进行经济分析
- 批准号:
19530165 - 财政年份:2007
- 资助金额:
$ 2.66万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Mathematical Economic Model of the Complex System in International Economics
国际经济学中复杂系统的数理经济模型
- 批准号:
16530168 - 财政年份:2004
- 资助金额:
$ 2.66万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Inference to Tongue Pressure during Swallowing by Wearing Palatal Plate
佩戴腭板对吞咽时舌压的推断
- 批准号:
15592066 - 财政年份:2003
- 资助金额:
$ 2.66万 - 项目类别:
Grant-in-Aid for Scientific Research (C)