The current research aims to study how the degree of decentralization affects the allocation of resources according to the evolution of the welfare of population in regional levels. That is, we suppose the government look at the social and welfare variables evolution and relocate the resources dynamically. To analyze welfare, we use one unique variable that describe general welfare in the most approximate possible way. Hence, we choose the human development index as a proxy of a group of several basic variables. This index is made by the United Nations (UN) to put in one single number three key life standard variables: literacy, related to education; life expectancy, related to health; and income, related to buy power and consumption capacity. To do it so, we adapt UN methodology to lower population levels, and we build our Regional Human Development Index (RHDI), so we can compare with the income allocation for every region of both countries. Finally, we analyze the relationship between fiscal decentralization; this is the amount of funds sent to every region and the HDI in each region using a data panel.
This method provided a power of analysis of the situation government faces and how they decide to use the resources in order to fix market failures.
3.2. Panel Data Analysis
An econometric panel data model includes a sample of agents for a given period. So, the essential feature of panel data is available for both temporal and spatial dimensions. As an example, you can have annual data on income, HDI, income per capita, among others, in 12 regions in Turkey or 6 regions in Argentina for a period of 13 years (2002–2014), which is a base of mixed data time series and cross-section, becoming panel data. In this example, the sample elements are time and the regions.
The main objective of implementing and studying the data panel, is to capture the unobservable heterogeneity, either between agents as well as in time, given that this heterogeneity cannot be detected nor time series studies nor with cross section (
Baronio and Vianco 2012).
This technique allows for a more dynamic analysis by incorporating temporal dimension of the data analysis, which enriches the study. While working with this kind of information as part of unobserved heterogeneity, the application of this methodology allows analyzing two aspects of importance:
- (i)
The specific, individual effects and;
- (ii)
Temporary effects.
The individual effects are those that affect unevenly each study agents contained in the sample which are time—invariant and directly affect the decisions made by these units, such effects are usually identified with issues of entrepreneurship, operational efficiency, experience capitalization, access to technology, etc. On the other hand, the temporary effects are those which apply equally to all individual units of study. Such effects may be associated, for example, to macroeconomic shocks that can affect equally to all companies and units of study.
The first specification refers to the case where there is no heterogeneity observable in the data system panel and therefore the ordinary least squares method with the advantage of winning degrees of freedom is used. However, in cases where the homogeneity hypothesis is rejected in a system panel data, so there is heterogeneity observable either over time between study either units (individuals) or in both directions; there must be sought a specification that capture properly to avoid the problem of bias on estimates of the parameters of the explanatory variables, which would be committed if the specification is used.
There are two additional procedures to estimate the model in a data system panel: one involves the recognition that omitted variables may lead to changes in the intercepts either over time or between cross-sectional units, in this case the fixed effects model attempts to approximate these changes with dummy variables; The other model is the random effects, which tries to capture these differences through the random component of the model.
As already mentioned, the technique of panel data allows us to contemplate the existence of specific to each unit of cross-sectional individual effects, time invariant that affects how each unit cross section makes its decisions. A simple way, and, in fact, the most widely used, considering this heterogeneity is using variable intercept models. Thus, the linear model is the same for all units or individuals under study, other is the also done for robustness and the results are same.
This model assumes that there is a different constant term for every individual and assumes that the individual effects are independent of each other. With this model it is considered that the explanatory variables affect both the cross-sectional units and they differ in characteristics of each, measured by the intercept features. Therefore, the
n intercepts are associated with dummy variables with specific coefficients for each unit, which must be estimated. Then, we can write the model as follows:
i = 1, 2, 3, …, n
t = 1, 2, 3, …, T
For start our work, we present the data in a table attached to both Argentina and Turkey. In the case of Argentina, we have 132 observations, while for Turkey, 156 cases. There are 20 years covered (observations) for each region in both countries.
We intend to analyze the impact of population welfare, measured by the regional HDI (X) in amount of fiscal resources allocation (Y) that we use as a proxy for fiscal decentralization, but use the HDI of the previous year, so we can see if the authority reacts to a certain level of welfare and take a decision regarding to the allocation in a similar model presented by
Martínez and Aldo (
2009). Finally, the standard model is presented as follows:
By having a panel where all data are complete for each of the periods, the panel data used in the regressions (6) is hence balanced. Where “LN_FRA” is the logarithm of the fiscal Resources allocation amounts of money in U.S. Dollars from central government to the “i” in the “t” year. On the other side, we have “LnHDI” which is the estimated logarithm of the human development index for the “I” region in the year “t − 1”.
Before running the econometric estimations, we must determine which model we should apply: either random effects or fixed effects model. The fixed effect or LSDV model allows for heterogeneity or individuality among the regions by allowing having its own intercept value. The term fixed effect is due to the fact that although the intercept may differ across regions, but intercept does not vary over time, that is it is time invariant. In the random effect model, we have to find a common mean value for the intercept across the regions. So, to determine the model we run Hausman Test for the following hypothesis;
H0. Random effects model is appropriate.
H1. Fixed effects model is appropriate.
If we find a statistically significant
p-value, we should use fixed effect model, otherwise, the random effect model. So, after running the Hausman Test model for the case of Turkey in
Table 3, we found that random effect model is the appropriate one.
We can see that the p-value is bigger than the accepted thresholds in the literature. Hence, we cannot reject the null hypothesis. Then, the best model for estimation is the random effects model.
In the same direction, we test for Argentina and the outcome is as follows in
Table 4:
Nevertheless, for the Argentinian case, the p-value is very small, so we reject the null hypothesis, and we conclude that the most appropriated model is the fixed-effects one.
From the first analysis we can see that the constant is negative. This is an intuitive outcome because of the Argentinian Partnership Act that forces the central government to send money to local levels without any kind of reference or parameter. Moreover, there is positive relationship of the coefficient of “ln_hdi_ar” (intuitive and expected result), and with 95% confidence it has individual statistical significance (t = 2.32), which means that the regional standard welfare index has individual effect on the allocation from central government. We can conclude that, instead of our incomplete model because of a low R-square and DW statistic, the regional HDI from one year before is considered when the central government has to allocate resources to lower government levels.
Finally, the outcome model for Argentina is:
(di = 1 for observations of region i and di = 0 in a different case).
The regression results for the case of Turkey are given in
Table 7 and
Table 8:
From the previous estimation for the case in Turkey, we found a negative and non-statistical significance for the variable “LN_HDI_tr” in the fiscal resources allocation from the central government. So, according to our estimation the regional welfare indexes evolution is not considered by the government to change the resources allocation during the analyzed period.
On the other hand, we have the data of tax revenue collected by the provinces and hence for the corresponding regions for the variable FRA for both countries in
Figure 3 and
Figure 4. After the economic crisis and the devaluation suffered in Argentina, a sharp drop is seen in the income received by the regions.
Finally, the outcome model for Turkey is:
Figure 3 shows the fiscal resource allocation from central government to regions in Turkey from 2000 to 2021. While İstanbul gets the highest share, Doğu Karadeniz and Ortadoğu Anadolu regions get the lowest share from the central government. Nevertheless, even for İstanbul the share gradually declines after 2016 as a result of high devaluation. In annexed, FRI for Argentina on a yearly basis is also shown in
Table 9,
Table 10,
Table 11 and
Table 12; and HDI for Turkey on a yearly basis is also shown in
Table 13,
Table 14,
Table 15 and
Table 16.
Similarly
Figure 4 shows the fiscal resource allocation share from central government to regions in Argentina from 2000 to 2021. While Patagonia region gets the highest share, Uttoral region gets the lowest share from the central government. However, after 2016, even for Pattogonia the share from central government starts to decline because of devaluation.
In addition, the latest data published by UNDP for the whole country, also refers to the year 2013 and estimates an HDI of 0.808. For this year, no region reaches that value; only the northwest region reaches a value of 0.785 and Pampas region worth 0.787. Meanwhile, the “Gran Chaco” again recorded in lower data with just 0.66.