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Vol. 38 (Nº 34) Año 2017. Pág. 29

Tropics and Income: longitudinal evidence from Brazil

Trópicos e renda: evidencia longitudinal para o Brasil

Claudio Djissey SHIKIDA 1; Ari Francisco de ARAUJO Jr 2

Recibido: 20/02/2017 • Aprobado: 28/03/2017


Content

1. Introduction

2. Methodology

3. Results

4. Conclusions

Bibliographic references


ABSTRACT:

This article investigates tropical disadvantage effect on economic development. We run regressions like Ram (1999, 2015) for Brazilian States. The methodology used is more adequate than Ram´s papers because for two main reasons: (a) Cribari-Neto (2004) estimator is the most appropriate to small samples contaminated with outliers and, (b).our results are based on tests for the equality of the coefficients among the years. The advantage of a state associated of being located far from equator has not fallen in the analyzed period for our Brazilian sample. Contrary to the U.S. evidence, we found that the effect is stable across the time. Parker (2000) suggests one possible explanation to this result.
Keywords: economic development; tropics; latitude

RESUMO:

Este artigo investiga o efeito de desvantagem tropical sobre o desenvolvimento económico. Estimamos regressões tal como RAM (1999, 2015) para os estados brasileiros. A metodologia usada é mais adequada que aquelas de RAM por dois motivos básicos: (a) o estimador de Cribari-Neto (2004) é mais adequado a pequenas amostras contaminadas por outliers e, (b) nossos resultados são baseados em testes de igualdade de coeficientes entre os anos. A vantagem da distancia na localização em relação ao Equador não caiu na amostra brasileira ao longo do período analisado. Contrário à evidencia dos EUA, encontramos efeito estável no tempo. Parker (2000) sugere possível explicação para tal resultado.
Palavras-Chiave: desenvolvimento económico, trópicos, latitude

1. Introduction

Ram (1999,2015) uses a parsimonious model to investigate the evidences of tropical disadvantage variation on US federal states per capita income. The study of Kamarck is the main motivation. According to Ram (1999), Kamarck postulates that equator proximity could represent adverse effects on economies, due to some reasons: (a) erratic patterns of tropical rainfall, (b) human and grain diseases (that affect human and agriculture capital formation). In this paper, we try to check if the Brazilian economy follows his results in an attempt to offer another evidence of the external validity of the model.

2. Methodology

Ram (1999, 2015) argues that equator distance is a "natural" exogenous variable as GDP determinant and its variability impacts on human capital formation and on others intermediate variables.  The justification to use simple regression is, therefore, that we do not want to understate the value of the "b" coefficient (Ram, 1999). Obviously, there are other options to take it into account. It could be made by taking advantage of panel data structure of the database and appending other GDP per capita determinants to the model. Nevertheless, due to the difficulty to build a balanced panel with regional data for several GDP determinants, we will follow the author’s strategy in this paper. Thus, Ram (1999, 2015) suggests the following simple specification:

In the case of brazilian data, Yit variable (i=1,..., 27)  is, for example, state's GDP per capita at constant 2010 prices, calculated for period t = 1985, ..., 2011. Following Ram´s exercise, the Brazilian capital, “Distrito Federal” is included on our sample. Tocantins is also included since 1989. Until 1988, N = 26. Ram (2015) uses per capita income but he also states that the GDP per capita is a suitable proxy variable.  In his words: “Given that the basic disadvantage of tropicality is production-related, gross domestic (state) product is a good alternative proxy for income. Unreported estimates based on per-capita gross domestic product reaffirm the story of a cessation in the decline of the tropicality disadvantage”. [RAM (2015), 164]. Disti variable is the latitude in absolute value (latitude_abs) of state´s capital and it can be interpreted as a proxy of the state’s distance from the equator line. The 10-years’s GDP data are from IBGE, collected in the IPEADATA (http://ipeadata.gov.br). The yearly GDP data are from the IBGE’s Estatísticas do Século XX. The distance was collected from the Anuário Estatístico do IBGE, 2011 edition [IBGE (2011)]. Higher values of Disti represent lower "tropicality" effect on state per capita GDP.

3. Results

We run regression estimates for each year. Standard errors are robust to the presence of heteroscedasticity. The results are presented below (Tables 1, 2).

Table 1

Year

Constant Term (2)

Coefficient of Distance

Adj. R2

N

1985

1.68636

***

0.04227

***

0.3562

26

10.112

3.852

1986

1.75519

***

0.04019

**

0.3403

26

10.712

3.728

1987

1.75692

***

0.04244

***

0.3891

26

11.206

4.114

1988

1.76682

***

0.04151

***

0.3794

26 (1)

11.305

4.036

1989

1.719995

***

0.042923

***

0.4052

27

11.526

4.326

1990

1.72054

***

0.04206

***

0.4027

27

11.71

4.304

1991

1.741969

***

0.041938

***

0.4212

27

12.326

4.463

1992

1.748796

***

0.042007

***

0.4393

27

12.798

4.623

1993

1.77601

***

0.04217

***

0.4447

27

13.082

4.671

1994

1.819993

***

0.04164

***

0.4565

27

13.889

4.779

1995

1.848485

***

0.041127

***

0.4466

27

14.012

4.688

1996

1.863154

***

0.040948

***

0.4436

27

14.103

4.661

1997

1.876637

***

0.041286

***

0.452

27

14.319

4.738

1998

1.855431

***

0.042267

***

0.4678

27

14.257

4.884

1999

1.85113

***

0.042175

***

0.4715

27

14.355

4.919

2000

1.87136

***

0.04256

***

0.4789

27

14.59

4.99

2001

1.87697

***

0.04266

***

0.4777

27

14.564

4.978

2002

1.905379

***

0.042172

***

0.4657

27

14.614

4.864

2003

1.930552

***

0.041334

***

0.464

27

15.058

4.849

2004

1.985069

***

0.040534

***

0.4525

27

15.442

4.742

2005

2.024353

***

0.039268

***

0.4356

27

15.73

4.59

2006

2.057433

***

0.038693

***

0.4347

27

16.201

4.582

2007

2.114565

***

0.039708

***

0.448

27

16.646

4.701

2008

2.136417

***

0.039581

***

0.454

27

17.068

4.756

2009

2.146492

***

0.038655

***

0.4421

27

17.161

4.648

2010

2.197806

***

0.039831

***

0.4682

27

17.933

4.888

2011

2.224413

***

0.039817

***

0.4689

27

 

18.183

 

4.895

 

 

 

Source: Authors' calculations.
Notes:  (1) The state of Tocantins was created by the Brazilian's 1988
Constitution and implemented only in 1989. That's why the number
of observations change since this year. (2) The numbers below the
parameters estimates are the t-statistics. The "***" means that the
parameter is significative at least at 1 percent level.

Summing up, we can observe that latitude_abs (our variable of interest)’s coefficient is stable over time.  Graph 1 shows a small variability of the estimated parameters (0.005 of amplitude). Is this a significant difference? The set of regressions above seems to show evidence for Ram’s argument. However, in order to check for the significance of the estimated parameters for the whole period, we have to build a new dataset, pooling all the data and testing for the equality of the estimated parameters of the latitude among the years. Ram´s results were not reported with similar tests. Therefore, he does not seem to take account for the possibility of equality of estimated parameters through the sample.

After pooling the data  from 1989 to 2011 ( as the number of states changed since the Brazilian Constitution of 1988 as explained in the note 1 of Table 1), we specified the unrestricted and the restricted model defined, respectively, as:

 

Ram (2015) reports his results for decades. (1950 until 2010). For comparison purposes, we produce estimates with GDP per capita series from Estatísticas do Século XX - IBGE. Available dataset are for 1950, 1960, 1970, 1980, 1991, 1996, 2000, 2007 and 2010. Regressions are presented below (table 2).

Table 2

Decade

Constant Term (1)

 

Coefficient of Distance

Adj. R2

N

1950

0.044203

0.05646

***

0.5384

20

0.2998

5.0717

1960

0.571673

**

0.044235

***

0.2048

21

3.2676

3.9843

1970

1.074943

***

0.045075

**

0.2168

25

4.8316

3.1914

1980

1.590545

***

0.048109

***

0.3273

26

9.242

4.6181

1991

1.7770156

***

0.0413011

***

0.4071

27

13.243

5.0009

1996

1.9144796

***

0.0396861

***

0.4115

27

14.7868

5.2738

2000

1.8853066

***

0.042344

***

0.4731

27

15.9856

6.1658

2007

2.1147459

***

0.0397015

***

0.4479

27

17.9507

5.8414

2010

2.1978468

***

0.0398182

***

0.4688

27

 

20.0779

 

6.1364

 

 

 

 

 

Source: Authors' calculations.
Notes:  (1) The numbers below the parameters estimates are the t- statistics.
The "***" means that the parameter is  significative  at least
at 1 percent level. The “**” is similar, but for 5 percent level.

Again, our results are submitted to the same test as before. For the same reasons explained previously, we chose to work with the pool of data built from the years 1991, 2000, 2010. The similar, again, rejects the Ram’s conjecture for Brazil.

Both results do not give much support to the hypothesis of the decreasing economic disadvantage due to location of the state according to this proximity to the Equatorial line, as argued by Ram (1999, 2015). It seems to support a regional version of the physioeconomics’ hypothesis (Parker (2000) which postulates that differences in physics-based physiological would imply different levels of steady states in “homeostatic utility”. This explanation is based on latitude as “homeostatic utility” determinant which is given by laws of physics (thermodynamics) and brains´s hypothalamus (that regulates homeostasis). In this sense, a country have a natural homeostatic steady state determined by country´s physioeconomics. Under this hypothesis, a country can be able to generate average incomes that are higher than the minimal requirements for the country’s specifically decent living conditions in the steady state.

4. Conclusions

The advantage of a state associated of being located far from Equator was argued to be important by Ram (1999, 2015). In this paper, we showed two things: without an equality statistical test, his results seems to be valid for Brazil. However, after testing for the equality of the estimated coefficients through the decades (or years), we could state that this result is indeed stable. The physioeconomic hypothesis based on Parker (2000) could be a possible explanation.

Bibliographic references

Cribari-Neto F (2004). Asymptotic Inference under Heteroskedasticity of Unknown Form. Computational Statistics & Data Analysis, 45, 215–233.

IBGE (2011). Anuário Estatístico do IBGE, volume 71. IBGE. Disponível em: http://biblioteca.ibge.gov.br/visualizacao/monografias/GEBIS%20-%20RJ/AEB/AEB2011.pdf.

Parker, Philip (2000). Physioeconomics – The Basis for Long-Run Economic Growth. MIT University Press, 315p.

Ram, R. (1999). Tropics and Income: A Longitudinal Study of the U.S. States. Review of Income and Wealth, v.45, n.3, p.373-378.

Ram. R. (2015). Tropics and Income in the U.S. States: Further Evidence from Recent Data. Atlantic Economic Journal, 45, p.163-164.

Stata FAQ – How can I compare regression coefficients across 3 (or more) groups?  UCLA: Statistical Consulting Group. http://www.ats.ucla.edu/stat/stata/faq/compreg3.htm. (Accessed: June, 06, 2016).

Zeileis, A. (2006). Object-Oriented Computation of Sandwich Estimators. Journal of Statistical Software 16(9), 1-16. URL http://www.jstatsoft.org/v16/i09/.

Zeileis, A. & Hothorn, T. (2002). Diagnostic Checking in Regression Relationships. R News 2(3), 7-10. URL http://CRAN.R-project.org/doc/Rnews/


1. PPGOM/UFPel, Rio Grande do Sul,Brazil. University. Contact e-mail: cdshikida@ufpel.edu.br/cdshikida@gmail.com

2. Ibmec, Brazil. Contact e-mail: arifaj@ibmec.edu.br/arifaj@gmail.com


Revista ESPACIOS. ISSN 0798 1015
Vol. 38 (Nº 34) Año 2017

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