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This study is aimed at testing the validity of the BARS theory and determining the threshold level at which excessive government expenditure hampers growth. The data from 10 African emerging economies from 1988 to 2019 were used.

The methodology comprises several different stages. In the first stage, an Lagrange Multiplier (LM) type test was employed to find the appropriate transition variable among all the candidate variables to assess the linearity between government expenditure and economic growth and to find the sequence for selecting the order m of the transition function. The linearity test helped to identify the nature of the relationships between government expenditure and economic growth. In the second stage, the model evaluation was tested using the wild cluster bootstrap-Lagrange Multiplier (WCL-LM) test to assess appropriateness of the model. Thirdly, the Panel smooth transition regression (PSTR) model with one regime was estimated to test the validity of the BARS curve.

The results revealed evidence of nonlinear effects between government expenditure and economic growth, where the size of the government spending was found to be a 27.84% share of GDP, above which government expenditure caused growth to decline in African emerging economies. The findings combined into an inverted U-shape relationship, in line with the BARS theory.

This study proposes that policy-makers ought to formulate prudent fiscal policies that encourage expenditure, which would improve growth for selected countries as their current level of spending is below the threshold. This might be done through: (1) a suitable investment portfolio and (2) spending more on infrastructure.

The authors investigate the growth–inequality relationship, using panel data from 13 Southern African Development Community (SADC) countries over the period 1990–2015, to test the validity of the Kuznets and Tribble theories. Furthermore, the authors seek to determine the threshold level at which excessive growth hampers inequality.

The panel smooth transition regression (PSTR) model has several stages. The authors applied the Lagrange multiplier (LM) test to find the appropriate transition variable amongst all candidate variables, to assess the linearity between economic growth and income inequality and to find the sequence for selecting the order m of the transition function. The authors then estimated the PSTR model, but before facilitating the results, the authors first used the wild cluster bootstrap (WCB)–LM-type test to assess the appropriateness of the selected transition.

The authors found that at lower growth, income inequality tends to be lower, while if growth increases above US$8,969, inequality tends to increase in the SADC region. The findings combine into a U-shaped relationship, contradicting the Kuznets and Tribble theories.

The contribution of this paper is that it becomes the first to provide the threshold level at which excessive growth increases inequality in the selected countries. This study proposes that policymakers should focus on activities aimed at stimulating growth, in other words, activities such as spending more on infrastructure, drawing up a suitable investment portfolio and spending on technological investment for countries that are below US$8,969. An improvement in these activities will create job opportunities, which in turn will add to economic growth and thus lead to lower income inequality and better social cohesion.