Inverse problems in geographical economics: parameter identification in the spatial Solow model

被引：7

作者：

Engbers, Ralf ^{[1
]}

Burger, Martin ^{[1
]}

Capasso, Vincenzo ^{[2
,3
]}

机构：

[1] Univ Munster, Inst Computat & Appl Math, D-48149 Munster, Germany

[2] Univ Milan, Dept Math, Interdisciplinary Ctr Adv Appl Math & Stat Sci AD, I-20133 Milan, Italy

[3] Univ Carlos III Madrid, Escuela Politecn Super, Gregorio Millan Inst, Leganes 28911, Spain

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2014年 / 372卷 / 2028期

关键词：

inverse problems; parameter identification; geographical economics; spatial Solow model; production function; INCREASING RETURNS; GROWTH;

D O I：

10.1098/rsta.2013.0402

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The identification of production functions from data is an important task in the modelling of economic growth. In this paper, we consider a non-parametric approach to this identification problem in the context of the spatial Solow model which allows for rather general production functions, in particular convex-concave ones that have recently been proposed as reasonable shapes. We formulate the inverse problem and apply Tikhonov regularization. The inverse problem is discretized by finite elements and solved iteratively via a preconditioned gradient descent approach. Numerical results for the reconstruction of the production function are given and analysed at the end of this paper.

引用

页数：13

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