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Convergence in obesity and overweight rates across OECD countries: evidence from the stochastic and club convergence tests

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Abstract

Obesity has become a serious public health problem in the last two decades and affects not only developed countries but also the developing world. To date, despite all attempts to stop its increase, obesity remains a serious social problem, and obesity-related diseases have a significant cost on the health system. In this paper, we investigate the convergence of obesity rates, overweight rates, and body mass index (BMI) across 35 OECD countries over the period 1975–2006. The empirical findings of the paper are expected to have important policy implications to better inform policymakers. In addition to the traditional convergence tests, this paper uses a newly developed LM based panel unit root test with endogenously determined structural breaks to test for the stochastic convergence. Given the shortcomings of traditional and stochastic convergence tests in light of the possibility of multiple equilibria associated with groups of countries following different convergence paths, the club convergence algorithm is also employed. Traditional cross-sectional tests show that both β- and σ-convergence of the variables of interest exist across sampled countries. Moreover, the univariate LM unit root test results provide support for convergence in the relative BMIs, obesity rates, and overweight rates for a majority of the OECD countries. The club convergence test results, however, suggest the rejection of full panel club convergence only in BMI variables and overweight rates for females and the presence of a certain number of clubs for these variables.

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Fig. 1

Source: own calculations. b. Growth rates of OBE. Source: own calculations. c. Growth rates of OWR. Source: own calculations

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Notes

  1. BMI is the most useful measure of obesity in population-level that is used commonly in the literature. However, it is an imperfect measure of obesity since it does not measure the body fat directly. Therefore, it has some drawbacks. For instance, a person’s body fat increases as the person gets older. This is not reflected by the person’s weight and height. Moreover, the correspondence between BMI and body differs with sex (see Mahadevan and Ali 2016 for details).

  2. The updated report by the OECD in 2017 also indicates that adult obesity rates are highest in the USA (38.2%), Mexico (32.4%), New Zealand(30.7%) and Hungary (30%), while they are lowest in Japan (3.7%) and Korea (5.3%).

  3. In convergence analysis, it is evaluated whether initial cross-country differences in obesity rates (overweight rates and BMIs) tend to vanish over time. Since convergence depends on the steady-state level the country approaches, the corresponding long-run obesity prevalence rates could be estimated using following equation: \( p^{*} = 1/\left( {1 + e^{{ - y^{*} }} } \right) \), where \( y^{*} = - \frac{\alpha }{\beta } \) since, in a deterministic steady-state equilibrium, \( y_{t} = y_{t - 1} = y^{*} = - \frac{\alpha }{\beta } \) by Eq. (1).

  4. It should be noted that some studies in the literature investigated the convergence in health expenditures (Nghiem and Connelly 2017; Narayan 2007; Panopoulou and Pantelidis 2012; Lau et al. 2014), life expectancy and calorie intake (Hobijn and Franses 2001; Sab and Smith 2002; Mazumdar 2003; Neumayer 2003; Ram 2005; Clark 2011).

  5. The main disadvantage of the traditional tests is that they do not allow an individual growth path of varaibles of interest across countries.

  6. It should also be noted that in contrast to Nghiem et al. (2018) that uses BMI growth rates we use BMI rates itself.

  7. Here, if relative obesity rates (overweight rates and BMIs) follow a stationary process (i.e., does not contain a unit root), shocks to relative obesity rates will have only a transitory effect that is critical to the convergence of obesity rates. The main objective of using unit root tests with endogenously determined structural breaks is to identify and determine the trend-shifts and utilize information on non-normal errors to further improve the power of the test.

  8. The technical details of the test could be found in Im et al. (2005), Lee et al. (2012), and Lee and Tieslau (2019).

  9. The Phillips and Sul (2007) algorithm was first implemented in GAUSS. Its later versions have been produced in R and Stata by Schnurbus et al. (2017) and Du (2017), respectively. We use the code of Du (2017).

  10. We also divided the sample into three 14-year sub samples. The results of estimating Eq. (1) over three sub samples show that β-convergence appears more pronounced during the 2003–2016 period for all the variables of interest. Although the results are not reported, they are available upon request from the authors.

  11. It should be noted that the results also indicate that σ-convergence appears more pronounced during the 1989–2002 period for all the variables of interest. The results are available upon request from the authors.

  12. Following the suggestion of one of the referees, we also provide benchmark tests (i.e., LLC, IPS and Fisher) in Appendix 3. The test results without trend are reported in Table 10. Since the tests with trend produce similar results they are not reported but available from the authors upon request. The null hypothesis that relative obesity rates (overweight rates and BMIs) contain unit root processes (against the alternative of stationary panels) is rejected using Levin et al. (2002) test at the conventional levels significance. Im et al. (2003) test produce similar results except for BMIs. In addition to the LLC and IPS test, we also employ Fisher-type panel unit root test. The null hypothesis that all panels contain unit root processes (against the alternative that at least one panel is stationary) is rejected at the conventional levels of significance.

  13. These empirical results support the findings of Payne et al. (2015) that investigate the convergence of per capita health care expenditures among OECD countries. They also use LM unit root tests to examine stochastic convergence of health care expenditures. The panel statistic with trend-shifts shows that the relative per capita health expenditures is stationary as a whole. However, in univariate case, they find the relative per capita health expenditures to be stationary in twelve countries. In addition, our findings also support the findings of Lee and Tieslau (2019) that examine the issue of convergence of relative per capita health care expenditures in 20 OECD countries over the period 1971–2015. They found evidence in favor of convergence across the sampled countries. The univariate LM unit root tests for each country, however, indicate that ten of the countries reject the null of nonstationarity.

  14. One of the referees argues that it might be more plausible to explore the stationarity of differences in obesity rates (overweight rates and BMIs) of sampled countries with the USA over the sample period since the USA can be considered as the frontier country with respect to variables of interest. Following this suggestion, we consider obesity rates (overweight rates and BMIs) in each country in the sample relative to the US. For instance, the relative obesity rate used in the analysis could be expressed as follows: \( ROBE_{it} = { \ln }\left( {OBE_{it} /OBE_{US} } \right) \). Table 11 in Appendix 3 presents the univariate LM unit root test results for each sampled country, along with their optimal lag length and breakpoint locations. To save space, only the results for BMI, obesity rates and overweight rates for both sexes are presented. The results for other variables of interest are very similar and available upon request from the authors. The test results reported in Table 11 show that the null of unit root is rejected for all sampled counties. Hence, the results support the presence of stochastic convergence in relative BMI, obesity rates, and overweight rates across all the OECD countries over the sample period. Moreover, the two-break panel LM unit root test results indicate that the null of a unit root is rejected for all the variables considered. Panel LM test statistic for BMI, obesity rates and overweight rates are − 48.115, − 40.934 and − 38.788, respectively.

  15. One of the referees argues whether a ratio could be nonstationary since BMI along with the other variables used in the paper are ratios. Several studies examine stationarity of dividend-price ratio, consumption-income ratio and the share of renewable energy supply in total energy supply in the related literatures. For instance, Solarin et al. (2018) investigate stationarity of consumption-income ratio in African countries using similar methodology. Their results show that the consumption-income ratio is stationary around structural breaks in 44 out of 50 African countries. Hence, our results are consistent with the findings of previous paper that used similar methodology.

  16. The breaks could not be seen clearly in the figures provided in Appendix 1. This point raised by one of the referees. Hence, we randomly selected three sampled countries (Australia, Canada and Czechia) and plotted their BMI levels over the sample period so that possible break could be seen clearly. Plots are provided in Appendix 4. As can be seen in the figures, the breaks in the trend are clear and possible break dates correspond to the ones provided by the LM test. Similar analysis could be done for other countries in the sample.

  17. The null hypothesis on the convergence of the whole sample for the remaining variables is not rejected. Hence, all obesity rates and overweight rates for male are converging across OECD countries.

  18. These results both contradict with our earlier results from the panel convergence tests on relative BMIs and overweight rates. Our earlier results from stochastic convergence test show that relative BMIs and overweight rates are stationary as a whole, providing evidence on the convergence of relative BMIs and overweight rates across OECD countries. However, these results support the findings from the stochastic convergence test on relative obesity rates. As mentioned in previous section, to compensate the shortage of the traditional convergence test methods, Phillips and Sul (2007) propose a convergence test method that considers the heterogeneity among the countries and allows this heterogeneity to change over time. Hence, empirical analysis based on the results of the club convergence test might be more reliable.

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Correspondence to Saadet Kasman.

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Appendices

Appendix 1: Plots of body mass index, obesity rates and overweight rates for both sexes

figure a
figure b
figure c

Appendix 2: Average growth rates of body mass index (BMI), obesity rates (OBE) and overweight rates (OWR) in OECD countries

See Fig. 1.

Appendix 3: Additional unit root tests

See Tables 10 and 11.

Table 10 Benchmark panel unit root tests
Table 11 The univariate LM unit root tests with two trend breaks

Appendix 4: Plots of body mass index for randomly selected three sampled countries

figure d
figure e
figure f

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Kasman, S., Kasman, A. Convergence in obesity and overweight rates across OECD countries: evidence from the stochastic and club convergence tests. Empir Econ 61, 1063–1096 (2021). https://doi.org/10.1007/s00181-020-01895-3

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