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Determinants of Judicial Efficiency Change: Evidence from Brazil Thiago A. Fauvrelle; Aléssio T. C. Almeida Abstract Judicial efficiency matters for economic development. Nevertheless, the determinants of judicial productivity growth are not entirely understood. Using data of Brazil’s state courts change for the period of 2009 to 2014, this paper analyses judicial productivity and its possible determinants over time in a two stage approach. First, data envelopment analysis is used to calculate Malmquist productivity measures which are decomposed in: technical change (frontier-shift effect) and efficiency change which is composed of pure efficiency change (catch-up effect) and scale efficiency change (size effect). In the second stage, fixed effect models are estimated to evaluate the determinants of judicial productivity growth. The first stage results show a slight improvement in judicial productivity trend, which is defined mainly by efficiency change, since technical change deteriorated in the period. While the second stage findings suggest the inexistence of a trade-off between judicial quality and efficiency improvement, while judges remuneration, legal complexity and technology use affect judicial productivity, however not always in the expected direction. Methodology: Stage One The Malmquist index measures the total factor productivity (TFP) change over time: It can be decomposed into two main components: efficiency change/catch-up effect (EC) and technical change/frontier-shift effect (TC). EC measures relative efficiency over time, indicating whether production converges or diverges to the frontier. TC captures the change in productivity which is due to innovation. EC can be decomposed in Pure Efficiency Change and Scale Efficiency change. Econometrics with panel data: where: represents the indicator j of the State Court i in period t, with j ={Malmquist index (m), efficiency change (EC), technical change (TC)}; RR is Reversal Rate, used as proxy for judicial decision quality; CF´ is a vector with information about courts factors including remuneration of jugdes and judicial staff, investment rate, technology resources used by each court (investment and electronic filing); EF´ is a vector that include external factors to the courts such as gross domestic product (GDP) per capita and a index for legal particularities (rate of criminal cases); is the fixed effect involving the environment conditions of each Courts i (such as cultural diversity, moral aspects etc.); captures the fixed effect of time in the year t; is the random error term Results: Stage One Thiago A. Fauvrelle E-mail: [email protected] Web: http://www.edle-phd.eu/index.php/our-students/current-students#ThiagoFauvrelle http://ssrn.com/author=2485029 Conclusion Brazilian courts globally had an average slight improvement in judicial productivity between 2009 and 2014 (about 1.5% per year); Productivity growth was defined by catch-up effect, since the average technical frontier declined; Nonexistence of a trade-off between judicial decisions’ quality and efficiency improvement; Judges wages and productivity (catch-up) are positively correlated; Technology introduction might not always produce the expected results, at least in the short run; Law particularities matters for judicial performance Contact Information Results: Stage Two Methodology: Stage Two where EC and PEC respectively are calculated by DEA-CRS and DEA-VRS. Therefore, we can verify in Malmquist index the scale effect over time: (a) Expenditures - Input (R$ millions) (b) Judges - Input (in thousands) (c) Staff - Input (in thousands) (d) Workload - Input (millions) Figure 1: Comparison of actual values for inputs and output with its targets by DEA-VRS model in Brazilian Courts (2009-2014) Figure 2: Evolution of Malmquist index and its components for Brazilian State Courts (2009-2014)

Thiago A. Fauvrelle; AléssioT. C. AlmeidaThiago A.Fauvrelle; AléssioT. C. Almeida Abstract Judicial efficiency matters for economic development. Nevertheless, the determinants of

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Page 1: Thiago A. Fauvrelle; AléssioT. C. AlmeidaThiago A.Fauvrelle; AléssioT. C. Almeida Abstract Judicial efficiency matters for economic development. Nevertheless, the determinants of

Determinants of Judicial Efficiency Change: Evidence from BrazilThiago A. Fauvrelle; Aléssio T. C. Almeida

Abstract

Judicial efficiency matters for economic development. Nevertheless, the determinants ofjudicial productivity growth are not entirely understood. Using data of Brazil’s state courtschange for the period of 2009 to 2014, this paper analyses judicial productivity and itspossible determinants over time in a two stage approach. First, data envelopment analysis isused to calculate Malmquist productivity measures which are decomposed in: technicalchange (frontier-shift effect) and efficiency change which is composed of pure efficiencychange (catch-up effect) and scale efficiency change (size effect). In the second stage, fixedeffect models are estimated to evaluate the determinants of judicial productivity growth. Thefirst stage results show a slight improvement in judicial productivity trend, which is definedmainly by efficiency change, since technical change deteriorated in the period. While thesecond stage findings suggest the inexistence of a trade-off between judicial quality andefficiency improvement, while judges remuneration, legal complexity and technology useaffect judicial productivity, however not always in the expected direction.

Methodology: Stage One

The Malmquist index measures the total factor productivity (TFP) change over time:

It can be decomposed into two main components: efficiency change/catch-up effect (EC) andtechnical change/frontier-shift effect (TC). EC measures relative efficiency over time,indicating whether production converges or diverges to the frontier. TC captures the changein productivity which is due to innovation. EC can be decomposed in Pure EfficiencyChange and Scale Efficiency change.

Econometrics with panel data:

where:• represents the indicator j of the State Court i in period t, with j ={Malmquist index(m), efficiency change (EC), technical change (TC)};• RR is Reversal Rate, used as proxy for judicial decision quality;• CF´ is a vector with information about courts factors including remuneration of jugdes andjudicial staff, investment rate, technology resources used by each court (investment andelectronic filing);• EF´ is a vector that include external factors to the courts such as gross domestic product(GDP) per capita and a index for legal particularities (rate of criminal cases);• is the fixed effect involving the environment conditions of each Courts i (such as culturaldiversity, moral aspects etc.);• captures the fixed effect of time in the year t;• is the random error term

Results: Stage One

Thiago A. FauvrelleE-mail: [email protected]: http://www.edle-phd.eu/index.php/our-students/current-students#ThiagoFauvrelle

http://ssrn.com/author=2485029

Conclusion

• Brazilian courts globally had an average slight improvement in judicial productivitybetween 2009 and 2014 (about 1.5% per year);

• Productivity growth was defined by catch-up effect, since the average technicalfrontier declined;

• Nonexistence of a trade-off between judicial decisions’ quality and efficiencyimprovement;

• Judges wages and productivity (catch-up) are positively correlated;• Technology introduction might not always produce the expected results, at least in

the short run;• Law particularities matters for judicial performance

Contact Information

Results: Stage Two

Methodology: Stage Two

where EC and PEC respectively are calculated by DEA-CRS and DEA-VRS. Therefore, wecan verify in Malmquist index the scale effect over time:

(a) Expenditures - Input (R$ millions) (b) Judges - Input (in thousands)

(c) Staff - Input (in thousands) (d) Workload - Input (millions)

Figure 1: Comparison of actual values for inputs and output with its targets by DEA-VRS model in Brazilian Courts (2009-2014)

Figure 2: Evolution of Malmquist index and its components for Brazilian State Courts (2009-2014)