Abstract
Socio-economic inequalities derived from an exhaustive wealth distribution is studied in a closed geographical region from Transylvania (Romania). Exhaustive wealth data is computed from the agricultural records of the Sancraiu commune for three different economic periods. The data is spanning two different periods from the communist economy and gives a glance to the present situation after 31 years of free market economy in Romania. The local growth and reset model based on an analytically solvable master equation is used to describe the observed data. The model with realistically chosen growth and reset rates is successful in describing both the experimentally observed distributions and the inequality indexes (Lorenz curve, Gini coefficient, and Pareto point) derived from this data. The observed changes in the inequality measures are discussed in the context of the relevant socio-economic conditions.
Highlights
Fascinating statistics related to cities or smaller settlements have been intensely studied by physicists in the last few decades
Besides the relevant distribution functions we discuss and compare the Lorenz curves, Pareto points and the value of the Gini indices for all the studied periods. The rest of this manuscript is organized as follows: 1) we present and discuss the data; 2) the Local Growth and Global Reset (LGGR) modeling framework is briefly discussed; 3) the LGGR model is applied to the obtained wealth data by using different growth and reset rates; 4) the obtained results are discussed in view of socio-economic inequalities, and 5) we summarize our findings
A master equation approach describing uni-directional local growth and global reset processes (LGGR) was recently introduced for modeling various distributions that are frequently encountered in complex systems
Summary
Fascinating statistics related to cities or smaller settlements have been intensely studied by physicists in the last few decades. Exhaustive real-world wealth data are rare to find in the literature and as a consequence, these could be extremely precious from the point of view of modeling socio-economics problems related to social-inequalities We construct such an exhaustive wealth database extracted from taxation and ownership data that is available at the mayor’s office in a Romanian village community, comuna Sâncraiu, (Kalotaszentkirály), having about 1,000 households. Besides the relevant distribution functions we discuss and compare the Lorenz curves, Pareto points and the value of the Gini indices for all the studied periods The rest of this manuscript is organized as follows: 1) we present and discuss the data; 2) the LGGR modeling framework is briefly discussed; 3) the LGGR model is applied to the obtained wealth data by using different growth and reset rates; 4) the obtained results are discussed in view of socio-economic inequalities, and 5) we summarize our findings
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