# Sectoral Regional Growth and Convergence in Ecuador: An Analysis of the Intra-Distributive Dynamics of Productivity

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## Abstract

**:**

## 1. Introduction

## 2. A Previous Note on Convergence Analysis

## 3. Methodology

#### 3.1. Sigma Convergence

^{EGR})

#### 3.2. Convergence Models

## 4. Analysis of Data and Results

#### 4.1. Sectoral Productivity Evolution

#### 4.2. Gini Index and Sigma Convergence

#### 4.3. Beta Convergence and Analysis of Sector Intra-Distributive Dynamics in Ecuadorian Provinces

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

- OECD. Regions at a Glance, Organisation for Economic Co-operation and Development. 2016. Available online: http://www.oecd.org/regional/oecd-regions-at-a-glance-19990057.htm (accessed on 25 March 2019).
- León, G. Crecimiento y convergencia económica: Una revisión para Colombia. Dimens. Empres.
**2013**, 11, 61–76. [Google Scholar] [CrossRef] - Islam, N. What have we learnt from the convergence debate? J. Econ. Surv.
**2005**, 17, 309–354. [Google Scholar] [CrossRef] - Solow, R.A. Contribution to the Theory of Economic Growth. Q. J. Econ.
**1956**, 70, 65–94. [Google Scholar] [CrossRef] - Swan, T.W. Economic growth and capital accumulation. Econ. Rec.
**1956**, 32, 334–361. [Google Scholar] [CrossRef] - Abramovitz, M. Catching up, forging ahead, and falling behind. J. Econ. Hist.
**1986**, 46, 385–406. [Google Scholar] [CrossRef] - Baumol, W. Productivity Growth, Convergence and Welfare: What the Long-Run Data Show. Am. Econ. Rev.
**1986**, 76, 1072–1085. [Google Scholar] - Romer, P.M. Increasing returns and long-run growth. J. Polit. Econ.
**1986**, 94, 1002–1037. [Google Scholar] [CrossRef] - Baumol, W.J.; Wolff, E.N. Productivity growth, convergence, and welfare: Reply. Am. Econ. Rev.
**1988**, 78, 1155–1159. [Google Scholar] - De Long, J.B. Productivity growth, convergence, and welfare: Comment. Am. Econ. Rev.
**1988**, 78, 1138–1154. [Google Scholar] - Lucas, R.E., Jr. On the mechanics of economic development. J. Monetary Econ.
**1988**, 22, 3–42. [Google Scholar] [CrossRef] - Barro, R.J.; Sala-i-Martin, X.; Blanchard, O.J.; Hall, R.E. Convergence across states and regions. Brookings Papers Econ. Activity
**1991**, 22, 107–182. [Google Scholar] - Quah, D. Galton’s Fallacy and Tests of the Convergence Hypothesis; Working Paper; LSE Economics Department: London, UK, 1993. [Google Scholar]
- Quah, D.T. Twin peaks: Growth and convergence in models of distribution dynamics. Econ. J.
**1996**, 16, 1045–1055. [Google Scholar] [CrossRef] - Rabanal, C. Hipótesis sobre la convergencia económica: Una revisión de los enfoques utilizados. Economía y Administración
**2017**, 7, 113–132. [Google Scholar] [CrossRef] - Carrillo Huerta, M.M.; Ceron Vargas, J.A.; Reyes Hernández, M.S. Análisis del Crecimiento Económico; e-libro Corp.: Madrid, Spain, 2007. [Google Scholar]
- Durlauf, S.; Johnson, P.A.; Jonathan, R.W.T. Growth Econometrics; Working Paper Series 61; Vassar College Department of Economics: New York, NY, USA, 2004. [Google Scholar]
- Young, A.; Higgins, M.; Levy, D. Sigma Convergence versus Beta Convergence: Evidence from U.S. County-Level Data. J. Money Credit Bank.
**2008**, 40, 1083–1093. [Google Scholar] [CrossRef] [Green Version] - Fischer, M.; Stumpner, P. Income distribution dynamics and cross-region convergence in Europe. J. Geogr. Syst.
**2008**, 10, 109–139. [Google Scholar] [CrossRef] - Górna, J.; Górna, K.; Szulc, E. Analysis of β-Convergence. From Traditional Cross-Section Model to Dynamic Panel Model. Dyn. Econom. Models
**2013**, 13, 127–143. [Google Scholar] [CrossRef] - Fagerberg, J. Technological progress, structural change and productivity growth: A comparative study. Struct. Chang. Econ. Dyn.
**2000**, 11, 393–411. [Google Scholar] [CrossRef] - Erbetta, F.; Petraglia, C. Drivers of Regional Efficiency Differentials in Italy: Technical Inefficiency or Allocative Distortions? Growth Chang.
**2011**, 42, 351–375. [Google Scholar] [CrossRef] - Cuadrado, J.R.; Maroto, A. Convergencia Regional en Productividad y Cambios en la Estructura Productiva; Working Papers 12/08; Instituto Universitario de Análisis Económico y Social: Región de Valparaíso, Chile, 2008. [Google Scholar]
- Quah, D.T. Empirics for economic growth and convergence. Eur. Econ. Rev.
**1996**, 40, 1353–1375. [Google Scholar] [CrossRef] [Green Version] - Quah, D. Growth and Distribution: Stratification, Polarization, and Convergence Clubs. J. Econ. Growth
**1997**, 2, 27–59. [Google Scholar] [CrossRef] - Hyndman, R. Computing and Graphing Highest Density Regions. Am. Stat.
**1996**, 50, 120–126. [Google Scholar] - Barro, R.J.; Sala-i-Martin, X. Economic Growth; McGraw-Hill: Mexico City, Mexico, 1995. [Google Scholar]
- Esquivel, G. Convergencia regional en México, 1940-1995. El Trimestre Económico
**1999**, XVI, 725–761. [Google Scholar] - Mankiw, N.G.; Romer, D.; Weil, D.N. A contribution to the empirics of economic growth. Q. J. Econ.
**1992**, 107, 407–437. [Google Scholar] [CrossRef] - Barro, R.J.; Sala-i-Martin, X.; Robinson, R.A.; de Espinoza, J.R. Crecimiento Económico; Reverté: Mexico City, Mexico, 2009. [Google Scholar]
- Barro, R.J.; Sala-i-Martin, X. Convergence. J. Polit. Econ.
**1992**, 100, 223–251. [Google Scholar] [CrossRef] [Green Version] - García-Greciano, B.; Raymond, J.L.; Villaverde, J. Convergencia de las provincias españolas. Papeles de Economía Española
**1995**, 64, 38–53. [Google Scholar] - Quah, D. Galton’s fallacy and tests of the convergence hypothesis. Scand. J. Econ.
**1993**, 820, 427–443. [Google Scholar] [CrossRef] - Cuervo, L.M. Estudios de convergencia y divergencia regional en América Latina: Balance y perspectivas. J. Reg. Res.
**2004**, 5, 29–66. [Google Scholar] - Aroca, P.; Bosch, M.; Maloney, W. Spatial Dimensions of Trade Liberalization and Economic Convergence: Mexico 1985–2002. World Bank Econ. Rev.
**2005**, 19, 345–378. [Google Scholar] [CrossRef] - Juan-Ramón, V.H.; Rivera-Batiz, L.A. Regional growth in Mexico: 1970 93. Regional growth in Mexico: 1970–1993; IMF Working Papers, núm. WP/96/92; International Monetary Fund: Washington, DC, USA, 1996. [Google Scholar]
- Cermeño, R. Decrecimiento y convergencia de los estados mexicanos. Un análisis de panel. El Trimestre Económico
**2001**, LXVIII, 603–629. [Google Scholar] - Carrillo, M. La teoría neoclásica de la convergencia y la realidad del desarrollo regional en México. Problemas del Desarrollo
**2001**, 127, 107–134. [Google Scholar] [CrossRef] - Díaz-Bautista, A. Apertura comercial y crecimiento regional. Comercio Exterior
**2003**, 53, 995–1000. [Google Scholar] - Mendoza-González, M.Á. La dinámica económica regional en México, 1940–2002. Territorio y Economía
**2004**, 7, 12–22. [Google Scholar] - Chiquiar, D. Why Mexico’s Regional Income Convergence Broke Down. J. Dev. Econ.
**2005**, 77, 257–275. [Google Scholar] [CrossRef] - Diáz-Pedroza, J.; Vargas, A.S.; González, M.Á.M. Convergencia hacia la economía regional líder en México: Un análisis de cointegración en panel. El Trimestre Económico
**2009**, LXXVI, 407–431. [Google Scholar] - Asuad Sanén, N.; Quintana Romero, L. Crecimiento económico, convergencia y concentración económica espacial en las entidades federativas de México 1970-2008. Investig. Reg.
**2010**, 18, 83–106. [Google Scholar] - Rodríguez-Benavides, D.; Mendoza-González, M.Á.; Venegas-Martínez, F. ¿Realmente existe convergencia regional en México? Un modelo de datos-panel TAR no lineal. Economía Sociedad y Territorio
**2016**, 16, 197–227. [Google Scholar] [CrossRef] - García-Verdú, R. Income, Mortality, and Literacy Distribution Dynamics Across States in México: 1940–2000. Cuadernos de Economía
**2005**, 42, 165–192. [Google Scholar] [CrossRef] - Borrayo López, R.; Castañeda Arriaga, J.M. Análisis de transición dinámica: Un enfoque no paramétrico aplicado a la región centro de México (1988–2003). Problemas del Desarrollo
**2011**, 42, 7–44. [Google Scholar] [CrossRef] - Quintana, L.; Asuad, N. Growth, Concentration, Inequality and Regional Policy in Mexico. In Regional Problems and Policies in Latin America; Springer: Cham, Switzerland, 2013; pp. 165–195. [Google Scholar]
- Cárdenas, M.; Pontón, A.; Trujillo, J. Convergencia y migraciones interdepartamentales en Colombia: 1950–1983. Coyuntura Económica
**1993**, 23, 111–137. [Google Scholar] [PubMed] - Cárdenas, M.; Pontón, A. Growth and convergence in Colombia 1950–1990. J. Dev. Econ.
**1995**, 47, 5–37. [Google Scholar] [CrossRef] - Birchenall Jiménez, J.A.; Murcia Guzmán, G.E. Convergencia regional: Una revisión del caso colombiano. Desarrollo y Sociedad
**1997**, 40, 273–308. [Google Scholar] - Sánchez, T.F.; Núñez, M.J. La geografia y el desarrollo económico en Colombia: Una aproximación municipal. Desarrollo y Sociedad
**2000**, 46, 43–108. [Google Scholar] - Acevedo, S. Convergencia y crecimiento económico en Colombia 1980–2000. Ecos Economía
**2003**, 7, 51–78. [Google Scholar] - Bonet Morón, J.; Meisel Roca, A. La Convergencia Regional en Colombia: Una Visión de Largo Plazo, 1926–1995; Documentos de Trabajo sobre Economía Regional, No. 8; Centro de Estudios Económicos Regionales, Banco de la República: Cartagena, Colombia, 1999.
- Bonet, J.; Meisel, A. Polarización del Ingreso Per Cápita Departamental en Colombia, 1975–2000; Documentos de Trabajo sobre Economía Regional, No. 76; Centro de Estudios Económicos Regionales, Banco de la República: Cartagena, Colombia, 2006.
- Gómez, C. Convergencia regional en Colombia: Un enfoque en los Agregados Monetarios y en el Sector Exportador. Ensayos Sobre Economía Regional
**2006**, 45, 1–50. [Google Scholar] - Branisa, B.; Cardozo, A. Regional Growth Convergence in Colombia Using Social Indicators; Discussion Papers; Ibero America Institute for Economic Research: Torrance, CA, USA, 2009. [Google Scholar]
- Franco, L.; Raymond, J. Convergencia económica regional: El caso de los Departamentos colombianos. Ecos de Economía
**2009**, 28, 167–197. [Google Scholar] - Galvis Aponte, L.A.; Hahn-de-Castro, L.W. Crecimiento municipal en Colombia: El papel de las externalidades espaciales, el capital humano y el capital físico. Documentos de Trabajo Sobre Economía Regional
**2015**, 216, 1–60. [Google Scholar] - Royuela, V.; Garcia, C.G. Economic and social convergence in Colombia. Reg. Stud.
**2015**, 49, 219–239. [Google Scholar] [CrossRef] - Diniz, C.C. A Dinamica Regional Recente da Economia Brasileira e suas Perspectivas; Instituto de Pesquisa Economica Aplicada: Brasília, Brazil, 1995. [Google Scholar]
- Azzoni, C.R.; Ferreira, D.A. Competitividad regional y reconcentración industrial: El futuro de las desigualdades regionales en Brasil. EURE Revista Latinoamericana de Estudios Urbano Regionales
**1998**, XXIV, 81–111. [Google Scholar] [CrossRef] - Pitella, R. Migracoes e Convergencia no Brazil: 1960–1991. Revista Brasileira
**1999**, 53, 211–236. [Google Scholar] - Azzoni, C.R.; Menezes Filho, N.; Menezes, T.; Silveira-Neto, R. Geography and Income Convergence Among Brazilian States (May 2000). IDB Working Paper No. 122. Available online: https://ssrn.com/abstract=1814668 or http://dx.doi.org/10.2139/ssrn.1814668 (accessed on 12 January 2019).
- Magalhães, A.; Hewings, G.; Azzoni, C.R. Spatial dependence and regional convergence in Brazil. Investigaciones Regionales
**2005**, 6, 5–20. [Google Scholar] - Gondim, J.L.B.; Barreto, F.A.; Carvalho, J.R. Condicionantes de clubes de convergência no Brasil. Estudos Econômicos
**2007**, 37, 71–100. [Google Scholar] [CrossRef] [Green Version] - Resende, G.M.; de Carvalho, A.X.; Sakowski, P.A.M.; Cravo, T.A. Evaluating multiple spatial dimensions of economic growth in Brazil using spatial panel data models. Ann. Reg. Sci.
**2006**, 56, 1–31. [Google Scholar] [CrossRef] - Díaz Dapena, A.; Rubiera Morollón, F.; Pires, M.D.M.; Gomes, A.D.S. Convergence in Brazil: New evidence using a multilevel approach. Appl. Econ.
**2017**, 49, 5050–5062. [Google Scholar] - Willington, M. Un análisis empírico del crecimiento económico regional en Argentina. Estudios
**1998**, 21, 1–47. [Google Scholar] - Marina, A.; Garrido, N.; Sotelsek, D. Dinámica de la Distribución del Producto a Través de las Provincias Argentinas, 1970–1995; Anales de la XXV Reunión anual de la Asociación Argentina de Economía Política: Santa Cruz de la Sierra, Bolivia, 2000. [Google Scholar]
- Russo, J.L.; Ceña Delgado, F. Evolución de la convergencia y disparidades provinciales en Argentina. Revista de Estudios Regionales
**2000**, 57, 151–173. [Google Scholar] - Garrido, N.; Marina, A.; Salem, D.S. Convergencia económica en las provincias argentinas (1970–1995). Estudios de Economía Aplicada
**2002**, 20, 403–421. [Google Scholar] - Quintana-Romero, L.; Mendoza, M.A.; Correa-Quezada, R. Las Regiones Ecuatorianas en el Contexto Latinoamericano; Crecimiento, Industria, Migración y Empleo: Quito, Ecuador, 2014; pp. 13–27. [Google Scholar]
- Ramón-Mendieta, M.G.; Ochoa-Moreno, W.S.; Ochoa-Jiménez, D.A. Growth, Clusters, and Convergence in Ecuador: 1993–2011. In Regional Problems and Policies in Latin America; Springer: Berlin/Heidelberg, Germany, 2013; pp. 323–337. [Google Scholar]
- Ramón-Mendieta, M.; Quintana-Romero, L. Convergencia y Divergencia Regional en Ecuador; Crecimiento, Industria, Migración y Empleo: Quito, Ecuador, 2014; pp. 85–105. [Google Scholar]
- Szeles, M.R.; Muñoz, R.M. Analyzing the regional economic convergence in Ecuador. Insights from parametric and nonparametric models. Rom. J. Econ. Forecast.
**2016**, 19, 43–65. [Google Scholar] - Arias, T.D.C.T. El Cambio Estructural y las Desigualdades Regionales en el Ecuador: 1993–2014. Ph.D. Thesis, Universidad de Alcalá, Alcalá de Henares, Spain, 2017. [Google Scholar]
- Flores-Chamba, J.; Correa-Quezada, R.; Álvarez-García, J.; del Río-Rama, M.C. Spatial Economic Convergence and Public Expenditure in Ecuador. Symmetry
**2019**, 11, 130. [Google Scholar] [CrossRef] - Mendieta-Muñoz, R.M. La hipótesis de la convergencia condicional en Ecuador: Un análisis a nivel cantonal. Retos
**2015**, 5, 13–25. [Google Scholar] [CrossRef] - Mendieta Muñoz, R.; Pontarollo, N. Cantonal Convergence in Ecuador: A Spatial Econometric Perspective. J. Appl. Econ. Sci.
**2016**, 1, 107–126. [Google Scholar] - Ezcurra, R.; Rodríguez-Pose, A. Measuring the regional divide. In Handbook of Regional Growth and Development Theories; Edward Elgar Publishing: Cheltenham, UK, 2009; pp. 329–353. [Google Scholar]
- Ezcurra, R.; Rodríguez-Pose, A. Can the Economic Impact of Political Decentralisation Be Measured? Working Paper series in Economics and Social Sciences 2011/02; IMDEA: Madrid, Spain, 2011. [Google Scholar]
- Barro, R.J. Xavier Sala-i-Martin. Economic Growth and Convergence Across the United States; Working Paper no. 3419; National Bureau of Economic Research: Cambridge, MA USA, 1990. [Google Scholar]
- Barro, R.J. Economic Growth in a Cross Section of Countries. Q. J. Econ.
**1991**, 106, 407–443. [Google Scholar] [CrossRef] - Sala-i-Martin, X. The classical approach to convergence analysis. Econ. J.
**1996**, 734, 1019–1036. [Google Scholar] [CrossRef] - Bickenbach, F.; Eckhardt, B. Evaluating the Markov Property in Studies of Economic Convergence. Int. Reg. Sci. Rev.
**2003**, 26, 363–392. [Google Scholar] [CrossRef] - Magrini, S. Analysing Convergence Through the Distribution Dynamics Approach: Why and How? Working paper Department of Economics, num. 13 /wp/2007; Ca’ Foscari University of Venice: Venice, Italy, 2007. [Google Scholar]
- Hyndman, R. Package Highest Density Regions and Conditional Density Estimation ‘Hdrcde’. 2015. Available online: http://www.robjhyndman.com/software/hdrcde (accessed on 14 November 2018).
- Hyndman, R.; Bashtannyk, D.; Grunwald, G. Estimating and visualizing conditional densities. J. Comput. Graph. Stat.
**1996**, 5, 315–336. [Google Scholar] - Arbia, G.; Basile, R.; Piras, G. Analyzing Intra-Distribution Dynamics: A Reappraisal; Working Paper, Regional Economics Applications Laboratory at UIUC 2006; European Regional Science Association: Louvain-la-Neuve, Belgium, 2006. [Google Scholar]
- Basile, R. Intra-Distribution Dynamics of Regional Per-Capita Income in Europe: Evidence from Alternative Conditional Density Estimators. STATISTICA, LXX, n. 1. 2010. Available online: www.researchgate.net/publication/307715550 (accessed on 14 November 2018).
- Central Bank of Ecuador (CBE). Cuentas Nacionales Regionales. Available online: https://www.bce.fin.ec/index.php/component/k2/item/293-cuentas-provinciales/ (accessed on 12 November 2018).
- Instituto Nacional de Estadísticas y Censos (INEC). Encuestas de Empleo, Desempleo y Subempleo (ENEMDU). Available online: http://www.ecuadorencifras.gob.ec/informacion-historica-de-empleo/ (accessed on 14 November 2018).
- Maroto, A.; Cuadrado, J.R. New Regional Convergence in Productivity and Productive Structure, Application to European Southern Countries. IAES, Work Documents. 2008. Available online: https://www.researchgate.net/publication/237727809 (accessed on 25 March 2019).

2007 | 2014 | |||||
---|---|---|---|---|---|---|

Primary | Secondary | Tertiary | Primary | Secondary | Tertiary | |

Maximum | 136.9 | 55.3 | 16.4 | 282.1 | 28.3 | 20.6 |

Minimum | 0.7 | 0.7 | 4.5 | 0.9 | 2.3 | 9.1 |

Mean | 16.1 | 7.6 | 8.2 | 23.4 | 8.7 | 13.0 |

Standard deviation | 34.6 | 11.5 | 2.3 | 61.2 | 7.1 | 2.4 |

Coefficient of variation | 214.2 | 151.1 | 28.0 | 261.3 | 81.5 | 18.7 |

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**MDPI and ACS Style**

Quintana-Romero, L.; Correa-Quezada, R.; Ramón-Mendieta, M.G.; Álvarez-García, J.
Sectoral Regional Growth and Convergence in Ecuador: An Analysis of the Intra-Distributive Dynamics of Productivity. *Symmetry* **2019**, *11*, 461.
https://doi.org/10.3390/sym11040461

**AMA Style**

Quintana-Romero L, Correa-Quezada R, Ramón-Mendieta MG, Álvarez-García J.
Sectoral Regional Growth and Convergence in Ecuador: An Analysis of the Intra-Distributive Dynamics of Productivity. *Symmetry*. 2019; 11(4):461.
https://doi.org/10.3390/sym11040461

**Chicago/Turabian Style**

Quintana-Romero, Luis, Ronny Correa-Quezada, Marlon G. Ramón-Mendieta, and José Álvarez-García.
2019. "Sectoral Regional Growth and Convergence in Ecuador: An Analysis of the Intra-Distributive Dynamics of Productivity" *Symmetry* 11, no. 4: 461.
https://doi.org/10.3390/sym11040461