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

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 372, Issue 2028, 2014, Pages

  Engbers, Ralf ^a   Burger, Martin ^a   Capasso, Vincenzo ^b,c  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b UNIVERSITY OF MILAN   (Italy)

^c UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

Geographical economics; Inverse problems; Parameter identification; Production function; Spatial Solow model

Indexed keywords

DIFFERENTIAL EQUATIONS; ECONOMICS; IDENTIFICATION (CONTROL SYSTEMS); PARAMETER ESTIMATION;

ECONOMIC GROWTHS; GRADIENT DESCENT; IDENTIFICATION PROBLEM; NONPARAMETRIC APPROACHES; NUMERICAL RESULTS; PRODUCTION FUNCTION; SOLOW MODEL; TIKHONOV REGULARIZATION;

INVERSE PROBLEMS;

EID: 84907882519     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2013.0402     Document Type: Article

References (17)

1. Cobb CW, Douglas PH. 1928 A theory of production. Am. Econ. Rev. 18, 139-165.
2. Sachs JD. 2001 The strategic significance of global inequality. Wash. Q. 24, 187-198. (doi:10.1162/01636600152102331)
3. Skiba AK. 1978 Optimal growth with a convex-concave production function. Econometrica 46, 527-539. (doi:10.2307/1914229)
4. Capasso V. 2009 Mathematical structures of epidemic systems. Lecture Notes in Biomathematics, vol. 97, 2nd edn. Heidelberg, Germany: Springer.
5. Capasso V, Wilson RE. 1997 Analysis of a reaction-diffusion system modeling man-environment-man epidemics. SIAM J. Appl. Math. 57, 327-346. (doi:10.1137/S0036139995284681)
6. Mossay P. 2003 Increasing returns and heterogeneity in a spatial economy. Reg. Sci. Urban Econ. 33, 419-444. (doi:10.1016/S0166-0462(02)00041-8)
7. Camacho C, Zou B, Briani M. 2008 On the dynamics of capital accumulation across space. Eur. J. Oper. Res. 186, 451-465. (doi:10.1016/j.ejor.2007.02.031)
8. Capasso V, Engbers R, La Torre D. 2010 On a spatial Solow-model with technological diffusion and nonconcave production function. Nonlinear Anal. Real World Appl. 11, 3858-3876. (doi:10.1016/j.nonrwa.2010.01.016)
9. Engbers R. 2009 Spatial structures in geographical economics. Diploma thesis, Westfälische Wilhelms-Universität Münster, Münster, Germany.
10. Solow R. 1956 A contribution to the theory of economic growth. Q. J. Econ. 70, 65-94. (doi:10.2307/1884513)
11. Krugman P. 1991 Increasing returns and economic geography. J. Political Econ. 99, 483-499. (doi:10.1086/261763)
12. Smoller J. 1983 Shock-waves and reaction diffusion systems. New York, NY: Springer.
13. Showalter RE. 1996 Nonlinear partial differential equations and monotone operators in Banach spaces. Providence, RI: American Mathematical Society.
14. Koch W. In preparation. Growth and spatial dependence in Europe.
15. Engl HW, Fusek P, Pereverzev SV. 2005 Natural linearization for the identification of nonlinear heat transfer laws. J. Inverse III-Posed Probl. 13, 567-582. (doi:10.1515/156939405775199497)
16. Nocedal J,Wright SJ. 1999 Numerical optimization. New York, NY: Springer.
17. Eckey HF, Kosfeld R, Türck M. Regional convergence in Germany. A geographically weighted regression approach. Spat. Econ. Anal. 54, 45-64. (doi:10.1080/17421770701251905)