The Association of Pension Income with the Incidence of Type I Obesity among Retired Israelis

Previous studies have identified obesity and overweight as the fourth leading risk factor for global mortality. The objective of the current study is to investigate gender differences and the impact of wealth and income from pensions, sociodemographic variables, and self-assessment of health conditions on the projected probability to become obese in the postretirement age (67 years and older). We are unaware of previous studies, which explored the direct relationship between obesity, monetary income from pensions, wealth, and self-assessment of health conditions. To conduct this research, we make use of an extensive questionnaire concerning the economic and sociodemographic features and health and housing conditions of individuals administered within the framework of the 2015-2016 longitudinal survey conducted by the Israeli Central Bureau of Statistics (CBS). The survey is representative of the Israeli population and also includes information regarding the weight, height, gender, and age of each household member. Results of our study demonstrate that while for the female respondents older than 67, the projected probability of type I obesity (BMI ≥ 30) drops by 0.41% (p=0.0021) to 0.52% (p=0.0001) with an incremental 10,000 NIS (about $2,500) rise of gross annual income from a pension, for the male respondents above 67 years, the projected probability remains unchanged (p=0.4225). This outcome remains robust even when the 2015 BMI measurement of type I obesity (BMI ≥ 30) is controlled. This drop among women attenuates with a cutoff point increase from BMI ≥ 25 (overweight) to BMI ≥ 30 (type I obesity) to BMI ≥ 35 (type II obesity). Further results indicate that for both genders above 67 years and for men above 62 years, the projected BMI drop of one year decreases with income from a pension (p=0.013, p=0.039, and p=0.007, respectively), although the spread around the projection becomes wider. Compared with other martial status categories, for widowed females, the projected probability of obesity and self-reporting on improved health conditions drops by 6.58% (p=0.0419) to 11.28% (p=0.0048) and 6.55% (p=0.0190) to 7.47% (p=0.0036), respectively. For females older than 67, family status divorced drops the projected probability of obesity by 9.25% (p=0.0319). For males older than 67, results show a rise in projected obesity with car ownership by 6.10% (p=0.0897) to 6.41% (p=0.0469) and a drop in projected obesity with academic degree status by 9.93% (p=0.0106) to 10.14% (p=0.0118) and immigration status from American-European countries by 7.67% (p=0.0821) to 8.99% (p=0.0398) and Asian-African countries by 11.63% (p=0.0245) to 11.99% (p=0.02). Research findings stress the differences and similarities in male-female patterns of obesity after the retirement age of 67 years and may be of assistance to welfare and public health experts.


Introduction
Previous studies have identified obesity and overweight as the fourth leading risk factor for global mortality, responsible for an estimated number of 3.2-5.0 million deaths annually [1,2]. Recently, Nyberg et al. [3] estimated the loss of disease-free years associated with class II-III obesity (BMI ≥ 35, BMI � Weight ÷ (Height 2 ), where Weight is measured in kilograms and Height is measured in meters) to range between 7.1 and 10.0 years in subgroups of participants of different socioeconomic status categories, levels of physical activity, and smoking habits.
Following Arbel et al. [4], the objective of the current study is to investigate gender differences and the impact of wealth and monetary income from pensions, sociodemographic variables, and self-assessment of health conditions on the projected probability to become obese in the postretirement age (above 67 years). Given the public expenses associated with increasing life expectancy in Western countries, the study of this cohort might prove to be important in formulating more focused and effective public policies and programs. To the best of our knowledge, these relationships have not been previously explored in the context of gender differences in the postretirement age. e current literature addresses the impact of retirement and occupation on body weight, while a few studies made use of income categories rather than precise monetary income (e.g., [5][6][7][8][9]).
To conduct this research, we make use of an extensive set of questions concerning the economic and sociodemographic features and health and housing conditions of each respondent asked within the framework of the 2015-2016 longitudinal survey conducted by the Israeli Central Bureau of Statistics (CBS). e survey is representative of the Israeli population and includes information regarding the weight, height, gender, and age of each household member.
A common and accepted measure of classifying bodyweight uses BMI.
Results of our study demonstrate that while for the female respondents above 67 years, the projected probability of type I obesity (BMI ≥ 30) drops with an incremental 10,000 NIS (about $2,500) rise of gross annual income from a pension by 0.41% (p � 0.0021) to 0.52% (p � 0.0001), for the male respondents above 67 years, the projected probability remains unchanged (p � 0.4225).
is outcome remains robust even when the 2015 BMI measurement of type I obesity (BMI ≥ 30) is controlled. is drop in the female group attenuates with a cutoff point increase from BMI ≥ 25 (overweight) to BMI ≥ 30 (type I obesity) to BMI ≥ 35 (type II obesity). Further results indicate that compared with other martial status categories, for widowed females, the projected probability of obesity and self-reporting on improved health conditions drops by 6.58% (p � 0.0419) to 11.28% (p � 0.0048) and 6.55% (p � 0.0190) to 7.47% (p � 0.0036), respectively. For females older than 67, the family status divorced drops the projected probability of obesity by 9.25% (p � 0.0319).
Finally, for both genders above 67 years and for men above 62 years, a projected BMI drop of one year decreases with income from a pension (p � 0.013, p � 0.039, and p � 0.007, respectively), although the spread around the projection becomes wider.
Research findings stress the differences and similarities in male-female patterns of obesity after the retirement age of 67 years and may be of assistance to welfare and public health experts. e rest of this paper is organized as follows. Section 2 provides an analytical framework. Section 3 (Materials and Methods (A): A Comparison between Two Consecutive Years) provides descriptive statistics, presents the empirical model, and reports the results, where the data are arranged to permit testing the BMI change across one year and to control type I obesity (BMI ≥ 30) measured in 2015. Section 4 (Materials and Methods (B): A Conventional Analysis of Panel Data) applies the analysis to a conventional panel data structure and provides robustness tests where the cutoff point definition of obesity changes from BMI ≥ 25 (overweight) to BMI ≥ 30 (type I obesity) to BMI ≥ 35 (type II obesity). Finally, Section 5 (Discussion) concludes and summarizes.

Analytical Framework
A long-debated question in the literature is the relationship between mortality rates, health, and wealth, and, in particular, "what do the gaps in health have to do with gaps in income?" ( [11], page 113). In an influential study and by logistic curve-fitting based on cross-sectional average data at the country level for the years 1900, 1930, and 1960, Preston [12] demonstrated (1) a positive relationship between life expectancy at birth and GDP per capita at a decreasing pace and (2) an upward curve shift from 1930 to 1960. Following Preston [12], the conventional assumption that income is the most important cause of mortality decline has been an unquestioned starting point. Deaton [13], for example, indicated that "people whose reported family incomes in 1980 were less than $5,000 in 1980 prices are estimated to have a life expectancy around 25 percent lower than those whose family incomes were above $50,000" (page 13). On the contrary, given that many health improvements that have been achieved are relatively inexpensive, Deaton concludes that cross-country mortality differences are not the direct outcomes of income inequality but rather of government institutional efficiency. e same institutional characteristics that make countries good at producing output make them good at providing clean water and access to medical care ( [11], page 113). Moreover, in a recent study, Lutz and Kebede [14] have demonstrated that the important explanatory variable is the education level rather than the income level.
Referring specifically to the BMI measure and obesity, Subramanian et al. [15], who explored cross-country differences in height, found a strong positive association between height and household wealth. e authors conclude that "Socioeconomic inequalities in height remain persistent. Height has stagnated or declined over the last decades in low-to middle-income countries, particularly in Africa, suggesting worsening nutritional and environmental circumstances during childhood" (quoted from the abstract of the article). Jolliffe [16] addresses the claim that according to the United States National Health and Nutrition Examination Survey (NHANES) data, the null hypothesis of the same overweight rates across income levels cannot be rejected at any time in the last 35 years. Given the nonsymmetrical BMI distribution, the author uses quantile regression and demonstrates that for those at the tails of the BMI distribution, increases in income are correlated with healthier BMI values. [17] demonstrate that at a macrolevel of OECD countries, excluding USA and Mexico (which lead the obesity chart and exhibit obesity rates of 40%), no association was found between obesity and income inequality in OECD countries.
Finally, Zagorsky [18] found a 12% (7%) decrease of projected net worth of white (black) women with 1-unit increase in BMI. Lee [19] demonstrated that for both genders at the 51-64-year-old cohort in the USA, the shift from zero or negative net worth to positive net worth is associated with a decrease in the projected probability of type I obesity.

Materials and Methods (A): A Comparison between Two
Consecutive Years e objective of the current section is to explore gender differences and the relationship between BMI change and income from a pension. e data are arranged in a way that each variable is related to one specific year, (either 2016 or 2015). On the one hand, this data structure enables the following: (1) Testing the relationship between BMI2016 and BMI2015 (the BMI of the same person in two consecutive years).  [3]) and zero otherwise.
On the other hand, this data structure accounts only for individuals with BMI information on both 2016 and 2015 waves. Consequently, in subsequent sections, we apply the analysis to a conventional panel data structure.

Sample and Controls.
e data for this study are based on the longitudinal survey carried out by the Israeli CBS in 2014-2015 and 2016. As an OECD member since 2010, Israel is required to conduct such a survey. e sample of this survey is representative of the Israeli population, which includes all the Israeli households and persons living in nontherapeutic institutions (students in dormitories, assisted living for the elderly, and absorption centers for new immigrants). e definition of the Israeli population excludes prisoners, inhabitants in therapeutic institutions, such as chronic care housing for the elderly, Israeli inhabitants who remained outside the country for at least one year, foreign workers, diplomats, and Bedouins living in scattered settlements in the southern part of Israel. e common method used to collect the data from the sampled households is face-to-face interviews at the respondents' homes via computerized questionnaires. Each adult household member above 17 years old was interviewed in one of three languages (Hebrew, Arabic, and Russian).
Given that several studies in the field use telephone interviews (e.g., [20,21]), the face-to-face interview technique provides two main advantages: (1) unlike phone interviews, the respondent is more likely to answer the questionnaire in a nonthreatening environment with reduced tendency to avoid answers; (2) the interviewer can assess the reliability of answers, particularly regarding environmental housing conditions and height and weight of each household member; (3) families who are sampled by the Israeli CBS are required to cooperate by law. Consequently, high cooperation rates are achieved. e short term follow up (one year) makes the data structure somewhat similar to a cross section. Molina-Garc et al. [22] and Sallis et al. [1,23] compared between countries, cities, and individuals based on cross-sectional studies. Nevertheless, the use of one-year follow-up still permits the exploration of the relationship between the BMI of the same person in two consecutive years. Consequently, even the one-year follow-up is somewhat (slightly) better than a cross-sectional study. Table 1 displays the frequencies of the raw sample based on availability of data with respect to the height and weight variables. From these variables, we measure the BMI as Weight ÷ (Height 2 ). e relevant cohorts of our study are above 67 years old (the retirement age for Israeli males) and above 62 years old (the retirement age for the Israeli females). As can be seen from the table, information regarding these variables is available for more than 90% of the respondents. e apparent reason for these high cooperation rates is the legal requirement to cooperate by law with the interviewers. Tables 2 and 3 report the descriptive statistics referring separately to 841 (1,305) respondents above 67 (62) years with weight and height measured in both the 2016 and 2014-2015 waves. As previously noted, the former (latter) group consists of 70.91%-74.79% (74.49%-74.06%) of those who had at least one BMI report either in the 2016 or 2014-2015 waves. Consequently, the information loss associated with the current data structure is 25.21%-29.09% (25.51%-25.94%)-at least one-quarter of the original sample. e average BMI measured in the 2016 wave is 27.12-27.18 (BMI2016) and that in the 2014-2015 wave is 27.14-27.18 (BMI2015). e average BMI increase within one year is 0.18%-0.28% and the standard deviation is 8.57%-8.60% (BMI_PER). Based on the cutoff points defined by Nyberg et al. [3] of BMI ≥ 25 (overweight), BMI ≥ 30 (type I obesity), and BMI ≥ 35 (type II obesity), 65%-66% are overweight and above (BMI25_2015; BMI25_2016), 23% have type I obesity and above (BMI30_2015; BMI30_2016), and 6%-7% suffer from type II obesity (BMI35_2015; BMI35-2016). Returning to Tables 2 and 3, four additional variables are age, gender, percentage of individuals with income from pension, and the amount received only for the latter group of individuals. Depending on the lower bound of the age restriction (Age > 62 or Age > 67), the average age in 2015 is 71.29-74.70 and the maximum age is 80 years (Age2015). 52%-53% of the sample is females (Fe-males2015). Finally, of the pooled sample, 36%-38% receive income from a pension (GET_PENSION2016), and the annual amount received is 84,933-86,023 NIS, the local Israeli currency, where 1 NIS ≈ 0.25 US Dollars (INCPENS2016). Given that the average worker earnings is      142,247 NIS [24], incomes from pensions in the sample consist of 59.71%-60.47% of the average annual salary. In this context, currently, the pension system in Israel is compulsory, and the target is to reach 70% of the last salary before retirement based on 2% annual deposit during 35 years of employment. Consequently, and assuming that prior retirement salary is 142,247 NIS, the 59.71%-60.47% is lower than the desired 70%. Figure 2 displays the distributions of BMI2016 and BMI2015 based on gender differences. We compare the distributions of Age > 67, the postretirement cohorts in 2015, to 20 < Age ≤ 67, the preretirement cohorts for both genders in 2015. To test the male-female BMI differences, we run a Kolmogorov-Smirnoff (K-S) test. e calculated statistics for this test is the maximum BMI difference between the male-female distributions. Results of this test show that with the exception of the Age > 67 group and 2016 measure (p � 0.165), for all the remaining groups, the maximum BMI difference between the male-female distributions is statistically different from zero (p � 0.026 and p < 0.0001, respectively) Table 4.
As an interim summary, we have demonstrated that the average BMI measure in 2016 and 2015 is equal, and there are BMI gender differences. e next step is to examine the relationship between the BMI variables and the INCPENS (income from pension) variable.

3.2.
e Empirical Model. Consider the following independent equations estimated separately for above 67-yearold and above 62-year-old males and females: where BMI2016 and BMI PER are the dependent variables; BMI30 2015 and INCPENS2016 ÷ (10 4 ) are the independent variables; α 0 , α 1 , α 2 , α 3 and β 0 , β 1 , β 2 , β 3 are parameters; and μ 1 , μ 2 are the classical random disturbance terms. Figure 3 shows the projected BMI in 2016 as a function of income from a pension based on the estimation of equation (1). Only for women, the projected BMI drops with income from a pension (p � 0.022 for females above 67 years and p � 0.049 for females above 62 years). (Based on the recommendations of the American Statistical Association (ASA), throughout the article we refrain from using the terminology "statistically [in]significant" and report instead calculated p values (see [25,26] and Wasserstein et al. [27] and, in particular, the recommendation given on page 12. We thank an anonymous reviewer for directing our attention to this issue.) As the figure demonstrates, the spread around the projection becomes wider with higher income from a pension, indicating more heterogeneity in the BMI measure (BMI between 16.75 and 25.90 for above 62-year-old women with annual income from a pension of 1 million NIS). As for men, the projected BMI remains unchanged with income from a pension (p � 0.908 for males above 67 years and p � 0.566 for males above 62 years). Figure 4 shows the projected BMI change during one year as a function of income from a pension based on the estimation of equation (1). e graph also presents the 95% confidence interval around each projection. Based on the graph data, Tables 5 and 6 provide numerical examples for 62-year-old women and men. Results demonstrate that, on the one hand, for both genders above 67 years and for men above 62 years, the projected BMI change drops with higher income from a pension (p � 0.013, p � 0.039, and p � 0.007, respectively). On the other hand, the spread around the projection becomes wider with higher income from a pension, indicating more heterogeneity in BMI change (between 0.70% and 22.53% drop for above 67-year-old women with annual income from a pension of 1 million NIS).

Results.
Tables 5 and 6 demonstrate that there are no contradictions between Figures 3 and 4: As can be seen from this example, both BMI2016 and percent of BMI change drop with the shift from no annual income to 1 million NIS annual income from a pension.
As can be seen from this example, while BMI2016 rises with the shift from no annual income to 1 million NIS annual income from a pension, the percent of BMI change drops with the shift from no annual income to 1 million NIS annual income from a pension.

Materials and Methods (B): A Conventional
Analysis of Panel Data According to the OECD report referring to Israel, life expectancy at birth is 82.7 years, compared to 80.9 years in the OECD countries, and life expectancy at age 65 years is 20.6 additional years, compared with 19.7 additional years in the OECD countries. e direct implication from these figures is the required public finance of 20 years after retirement. e age for eligibility for a pension has been increasing gradually since 2004 with increases from 65 to 67 years for men and from 60 years to 62 years for women. Men's retirement age reached 67 years in 2009 while women's is currently 62 and projected to increase to 64 by 2022. Moreover, the percent of  Figure 2: Distribution of BMI2016 and BMI2015 females vs. males. Note. e figure compares BMI2016 and BMI2015 of women and men above and below 67 years with available information on BMI2016 and BMI2015. Given that the retirement age for men in Israel is 67 years, this age was chosen as the cutoff point.  Journal of Obesity 7 working-age population above 65 years is 21.1%, compared with 27.9% in OECD countries [24].
Referring to the frequency of females × years vs. males × years in the sample for different cohorts, at the older cohort of Age > 67, of the 1,771 respondents × years, females × years (males × years) consists of 52% (48%). e proportion of females × years is not different from 50% (p � 0.0916 and 99% confidence interval of [48.95%, 55.06%]). By comparison, at the younger cohorts of 20 < Age ≤ 67, of the 9,329 respondents × year in the sample, the respective proportions drop (rise) to 50.49% (49.51%) for females × years (males × years). Once again, the proportion of females × years is not different from 50% (p � 0.3461 and 99% confidence interval of [48.41%, 50.57%]). If the sample is representative, a possible interpretation is slightly lower (higher) mortality rates among females (males). It is also noteworthy that of the total population of adult respondents × year above 24   Journal of Obesity 20 years, the respondents × year whose age is above 67 consists of 1, 771/(1, 771 + 9, 329) ≈ 15.95%. e equivalent national ratio for individuals whose age is above 65 years is 10.4% [28].
An acceptable measure of overweight is BMI ≥ 25 and obesity is BMI ≥ 30. As previously noted, BMI is Weight ÷ (Height 2 ) where Weight is measured in kilograms and Height is measured in meters. e sample mean BMI reported in Tables 7 and 8 Figure 5 displays the proportions of obese females and males with BMI ≥ 30 for different cohorts. e figure demonstrates that obesity rises with age. As previously noted, among women (men) above 67 years, the frequency of obesity is 23.02% (21.53%). e 1.49% difference across gender has p � 0.4519, where the 95% confidence interval is [−5.37%, 2.39%]. By comparison, among the women (men) for whom 20 < Age ≤ 67, the frequencies of obesity drop to    Figure 6 exhibits the relationship between the projected probability of obesity (BMI ≥ 30) and annual gross income from a pension among females above 67 years. e projected probabilities were obtained from the probit model, where the dependent variable is BMI30 and the independent variable is INCPENS and refers to the 40.1% (59.9%) of the 921 female respondents above 67 years who received a pension (without pension). e graph clearly indicates the drop in the projected probability of obesity from 27.27% for female respondents without pensions to about 3.93% for female respondents with annual income from a pension of 200,000 NIS (about $50,000).
Tables 9 and 10 report the Pearson correlation matrix between the variables BMI30 INCPEN, Books, and Academic. For the female group, the Pearson correlation between BMI30 and INCPENS (-13.55%) is negative and different from zero correlation (p < 0.0001). In contrast, the null hypothesis of zero correlation between BMI30 and INCPENS cannot be rejected for the 850 male respondents (p � 0.5680). e latter outcome implies that this drop with income is unique to females. No such drop is supported empirically among groups of males.
Referring to other wealth, income, and education variables in Tables 7 and 8, of the 921 (850) females × years (males × years), 75.4% (73.2%) live in a housing unit owned by the household (OWNER). By comparison, the national Israeli 2016 average shows that 67.6% are homeowners [29]. Of the 921 (850) females × years (males × years), 97.2% (98.0%) have at least one  book in the home library (Books). 46.4% (65.2%) own a car (Car). By comparison, the national 2015 average shows that 69.7% of the 2.4139 million households own at least one car and 24.4% own two cars or more (Israeli CBS, [30]). Finally, 30% (34.2%) hold a BA, MA, or Ph.D. degree from academic institutions (Academic).
According to the reports in Tables 9 and 10, for females, BMI30 is negatively correlated with INCPENS, and this correlation is different from zero correlation (p < 0.0001). For both genders, BMI30 is negatively correlated with Academic (p � 0.0130 for females and p � 0.0002 for males). e implication is that the projected probability to become obese drops with academic education. For both genders, the Pearson correlations between INCPEN and Academic are all positive and different from zero correlation (p < 0.0001 for females and p � 0.0001 for males). As expected, income from pensions rises with academic education.
Referring to the quantitative sociodemographic variables in Tables 7 and 8, the sample mean of the age variable is 74.64 for females and 74.66 for males. Given the imposed cutoff point, the minimum age for both genders is 68 years and the maximum age is 80 years (Age). By comparison, according to 2018 Statistical Abstract of Israel ( [31]), the median age of the overall Israeli population is 31.0 years (29.8 years) for females (males). e number of household members is about two for both genders (HHSIZE).
Referring to the binary sociodemographic variables in Tables 7 and 8 [34].
An interesting psychological feature in our sample is the self-assessment of overall health. Of the 921 (850) females × years (males × years), 48.4% (54.8%) reported on good overall health. Stratification by cohorts show that compared with the adult group (Age > 67), the report on good health among young respondents (20 < Age ≤ 67) rises by 36.99%, p < 0.0001 (32.13%, p < 0.0001). Indeed, in the national level, compared with the younger cohorts, the self-assessment of health conditions among the older cohorts tends to be lower, and compared with women, the self-assessment of men tend to be higher [28].

e Empirical
where BMI30, the dependent variable, is a dummy variable that equals 1 for obesity (BMI ≥ 30) and 0 otherwise. e independent variables include (1) wealth, income, and education proxies: INCPENS, Owner, Books, Car, and Academic; (2) quantitative sociodemographic characteristics: Age and HHSIZE; (3) family-status variables: Married, Divorced, and Widow (base category of Single); (4) immigration variables: IMM_EUROPE_AMERICA and IMM_ASIA_AFRICA (base category of Native Israeli); and (5) self-assessment of overall health OVERALL_HEALTH. α 0 , α 1 ,. . ., α 13 are parameters, D is a matrix of individual effect dummies, δ 1 is a column vector of parameters, and μ 1 is the stochastic random disturbance term. . To provide the full information, the odd columns report the full model (e.g., [25,26]. e even columns report the stepwise model, which is obtained by gradual omission of variables with coefficients for whom p < 0.05. Results for women above 67 years indicate that the projected probability to become obese drops by 0.41% (p � 0.002) to 0.52% (p � 0.001) with each additional 10,000 NIS to the annual gross pension. In contrast, for the male group above 67 years, regardless of the income level from a pension, the projected probability to become obese remains unchanged (p � 0.4225).

Results.
Referring to the female group above 67 years, and compared with married, divorced, and single women, the projected probability to become obese among widowed females above 67 years rises by 6.58% (p � 0.0419) to 11.28% (p � 0.0048).
e projected probability to become obese among divorced females above 67 years rises by 9.25% (p � 0.0319). Female respondents with a BA, MA, or Ph.D. degree are less likely to become obese by 6.23% (p � 0.0966).
Referring to the male group above 67 years, the projected likelihood to become obese rises by 6.10% (p � 0.0897) to 6.41% (p � 0.0467) with ownership of at least one car. Male respondents with a BA, MA, or Ph.D. degree are less likely to become obese by 9.93% (p � 0.0106) to 10.14% (p � 0.0118). Finally, compared with native Israeli males, the projected odds to become obese drop by 7.67% (p � 0.0821) to 8.99% (p � 0.0398) for male immigrants above 67 years from American-European countries. Compared with native Israeli males, the projected odds to become obese drop by 11.63% (p � 0.0245) to 11.99% (p � 0.02) for male immigrants above 67 years from Asian-African countries.
An interesting feature of our study is the self-ranking of overall health conditions. Results of our study demonstrate that for the female group above 67 years, compared with the base category-low self-ranking of health conditions-projected likelihood to become obese drops by 6.55% (p � 0.0190) to 7.47% (p � 0.0036) with self-ranking of good overall health conditions. In contrast, for the male group above 67 years, the coefficient of OVER-ALL_HEALTH is found to remain unchanged (p � 0.2439).

Robustness Tests.
Recently, Nyberg et al. [3] estimated the loss of disease-free years associated with class II-III obesity to range between 7.1 and 10.0 years in subgroups of participants of different socioeconomic levels, levels of physical activity, and smoking habits. In line with their study, we run a robustness test, which the cutoff point definition of obesity changes from BMI ≥ 25 (overweight) to Journal of Obesity 13 BMI ≥ 30 (type I obesity) to BMI ≥ 35 (type II obesity). Table 7 shows that, as expected, as the benchmark changes from BMI25 to BMI30 and to BMI35, the relative frequency of females × years above this benchmark drops from 65.4% to 23.0% to 7.9%. e equivalent frequencies of males × years are 65.4% to 21.5% to 4.5% (Table 8). Figure 7 describes the projected probabilities obtained from the probit model, where the dependent variables are BMI25, BMI30, BMI35, and dummy variables, which equal one for Overweight (BMI ≥ 25) and Type I (BMI ≥ 30) and Type II Obesity (BMI ≥ 35) and zero otherwise. e independent variable is INCPENS, the annual gross monetary income from a pension measured in NIS (the local Israeli currency, 1 NIS ≈ $0.25), which refers to the 40.1% (59.9%) of the 921 female respondents above 67 years who got a pension (without pension). We excluded a few outliers for which INCPES > 250,000.
As the figure shows, for women, all three benchmarks of obesity exhibit a drop with INCPENS. However, an increase in the benchmark from BMI25 to BMI30 to BMI35 attenuates this drop. For women, the respective Pearson correlations between BMI25, BMI30, BMI35, and INCPENS (−13.90%, −13.55%, −10.01%) are negative and different from zero correlation (p < 0.0001, p < 0.0001, and p � 0.0024, respectively). e Pearson correlations between BMI25, BMI30, BMI35, and INCPENS among the 869 male respondents were found to be equal to zero (p � 0.5016, p � 0.5680 and p � 0.0530, respectively).    Note. e table reports the estimation results of equation (3) for the group of retired women and men estimated via the random effect regression. e results of individual-effect F-statistics justify this procedure, which includes the individual effect dummies. e dependent variable is BMI30, a dummy variable, which equals one for Type I obesity (BMI ≥ 30) and zero otherwise. e stepwise procedure gradually omits variables with coefficients for whom p ≥ 0.05. Variance inflation factor (VIF) is a measure for collinearity among independent variables. VIF < 10 implies low collinearity. Robust p values are given in parentheses.      (3), where the dependent variable is replaced from BMI25 to BMI30 and to BMI35. Once again, to provide the full information, the odd columns report the full model (e.g., [25,26]). e even columns report the stepwise model, which is obtained by gradual omission of variables with coefficients for whom p > 0.05.
Results indicate that the projected probability of overweight among retired female respondents drops by 0.84% (p � 0.0056) to 0.95% (p � 0.0014) with each additional 10,000 NIS annual gross monetary income from a pension.
is drop attenuates to 0.41% (p � 0.0021) to 0.52% (p � 0.0001) for type I obesity. e projected probability of type II obesity remains unchanged with the annual level of monetary income from a pension (p � 0.1699).
Interestingly, narrowing the benchmark to type II obesity among retired women modifies the coefficient of Owner to positive. e projected probability of type II obesity rises with homeownership by 4.14% (p � 0.0169) to 4.37% (p � 0.0089). An additional variable whose coefficient becomes positive is HHSIZE, where the projected probability of type II obesity rises by 3.53% (p � 0.0201) to 3.57% (p � 0.0211) with each additional person in the household. e projected probability of type II obesity among retired women rises by 9.83% (p � 0.0340) to 12.44% (p � 0.0572) with family status of divorced and by 5.31% (p � 0.0377) to 9.06% (p � 0.0430) with family status of widow. Finally, the sign of the coefficient of OVERALL_HEALTH remains robust where the definition of obesity becomes narrower. e projected probabilities of overweight and type I and type II obesity among retired women drop by 2.45% (p � 0.0721) to 7.47% (p � 0.0036) with self-report of overall good health conditions.
To simplify the comparison, Results support the conclusion that regardless of the benchmark, the projected probability remains unchanged with the annual level of monetary income from a pension (p � 0.4404, p � 0.4225, and p � 0.5758, respectively) and with self-reported overall health conditions (p � 0.9232, p � 0.2439, and p � 0.3300, respectively).
Additional outcomes show that for the group of male respondents, the projected probability of type II obesity rises with homeownership by 2.55% (p � 0.0431) to 2.74% (p � 0.04). Narrowing the benchmark of obesity makes the coefficients of Age closer to zero. e projected probability of overweight decreases with the age variable by 0.99% (p � 0.045) to 1.03% (p � 0.0328). However, referring to type I and type II obesity, the coefficient of age remains unchanged (p � 0.9494 and p � 0.8297). Also, and with the exception of type I obesity, the coefficients of the variables Car, Academic, and IMM_ASIA_AFRICA remain unchanged with respect to the projected probability of overweight and type II obesity. e coefficient of OVERALL_HEALTH remains consistently unchanged (p � 0.9232, p � 0.2439, and p � 0.33, respectively).

Discussion
Following Arbel et al. [4], the objective of the current study is to investigate gender differences and the impact of wealth and monetary income from pensions, sociodemographic variables, and self-assessment of health conditions on the projected probability to become obese in the postretirement age-above 67 years. To the best of our knowledge, these relationships have not been previously explored in the context of gender differences in the postretirement age. e current literature addressed the impact of retirement and occupation on body weight, where few of the research studies used income categories rather than precise monetary income (e.g., [5][6][7][8][9]).
To conduct this research, we make use of an extensive questionnaire concerning the economic and sociodemographic features and health and housing conditions of each respondent asked within the framework of the 2015-2016 longitudinal survey conducted by the Israeli CBS. e survey is representative of the Israeli population and includes information regarding the weight, height, gender, and age of each household member.
Methodologically, the article is divided into two sections. In Section 3, the data are arranged to permit testing the BMI change across one year and to observe whether the BMI measured in 2016 is related to income from a pension as well as the frequency of type I obesity (BMI ≥ 30) measured in 2015. e disadvantage of this data structure is information loss associated with individuals without BMI information on both 2016 and 2015 waves. Consequently, in Section 4, we apply the analysis to a conventional panel data structure. Note. e table reports the estimation results of equation (3) for the group of retired men estimated via the random effect regression. e results of individualeffect F-statistics justify this procedure, which includes the individual effect dummies of households. e dependent variables are BMI25, BMI30, BMI35, and dummy variables, which equal one for Overweight (BMI ≥ 25), Type I (BMI ≥ 30), and Type II Obesity (BMI ≥ 35) and zero otherwise. e stepwise procedure gradually omits variables with coefficients for whom p < 0.05. Variance inflation factor (VIF) is a measure for collinearity among independent variables. VIF < 10 implies low collinearity. Robust p values are given in parentheses. * p < 0.1. * * p < 0.05. * * * p < 0.01. e findings in Section 3 demonstrate that, on the one hand, for women, the projected BMI drops with income from a pension (p � 0.022 for females above 67 years and p � 0.049 for females above 62 years). On the other hand, the spread around the projection becomes wider with higher income from a pension, indicating more heterogeneity in the BMI measure (BMI between 16.75 and 25.90 for women older than 62 with annual income from a pension of 1 million NIS). As for men, the projected BMI remains unchanged with income from a pension (p � 0.908 for males above 67 years and p � 0.566 for males above 62 years).
Further results from Section 3 demonstrate that, on the one hand, for both genders above 67 years and for men above 62 years, the projected BMI change drops with higher income from a pension (p � 0.013, p � 0.039, and p � 0.007, respectively). On the other hand, the spread around the projection becomes wider with higher income from a pension, indicating more heterogeneity in BMI change (between 0.70% and 22.53% drop for above 67-yearold women with annual income from a pension of 1 million NIS). e findings in Section 4 show once again that compared with individual retired women without a pension (a majority of 59.9%), the projected probability of overweight and type I obesity decreases by 0.41% (p � 0.0021) to 0.95% (p � 0.0001) with an incremental increase of 10,000 NIS. e implication is that wealthier retired female respondents suffer less from obesity. Once again, no such relationship is found among the male participants (p � 0.4225). Also, widowed and divorced females seem to suffer more from type I and type II obesity problems. e projected probability for type I obesity rises by 9.25% (p � 0.0319) for divorced and by 6.58% (p � 0.0419) to 11.28% (p � 0.0048) for widowed females. e projected probability for type II obesity rises by 9.83% (p � 0.0340) to 12.44% (p � 0.0572) for divorced and by 5.31% (p � 0.0377) to 9.06% (p � 0.0430) for widowed females. ese findings are supported by Iecovich et al. [28], who discuss the problem of loneliness among the elderly populations. Finally, unlike retired men, retired women exhibit improved awareness to overall health conditions, particularly in the context of obesity. Women who reported on improved overall health conditions are less likely to suffer from overweight and type I and type II obesity by 2.45% (p � 0.0721) to 7.47% (p � 0.0036).
An interesting outcome is obtained when we narrow the definition of obesity from Type I (BMI ≥ 30) to Type II obesity (BMI ≥ 35). For both genders, the projected probability of type II obesity increases by 2.55% (p � 0.0431) to 4.37% (p � 0.0089) with homeownership. e implication is that unlike previous outcomes, for both genders, richer individuals who own a housing unit suffer more from type II obesity.
Future research should explore the relationship between wealth sources and liabilities, such as saving accounts, mortgage balance, assigned credit line, and overdraft balance and obesity for the elderly population.
is type of research may be of assistance to welfare and public health experts.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare that they have no conflicts of interest.