Abstract
Background
Several epidemiological studies have demonstrated the risk factors for fall, while few studies investigated the association between frailty and risk of fall in diabetic patients aged ≥45 years.
Methods
In this multicity observational study, participants with type 2 diabetes aged ≥45 years were enrolled. Frailty status was measured by a frailty index (FI) of deficit accumulation. We used multivariable regression models to examine the relationship between frailty and fall in diabetic patients, and further investigated the associations between frailty and fall in varied subgroups.
Results
A total of 2049 participants with type 2 diabetes were identified in our study. Our results showed a per-s.d. and a per-0.01 increment of FI were associated with an increased risk of fall, with a fully adjusted OR of 1.89 (95% CI: 1.50, 2.38), 1.06 (95% CI: 1.04, 1.09), respectively. The effects were magnified when frailty was considered as dichotomous, with an OR of 3.08 (95% CI: 2.18, 4.34). In further subgroup analyses, we found that the females, the older, rural residents, individuals with no sitting toilet, people with poor balance performance and those in poor health status were susceptible to fall. Especially, for the risk of fall in the older, a per-s.d. increase of FI corresponded to an OR of 2.46 (95% CI: 1.68, 3.62). When frailty was regarded as a binary variable, the effect increased to 4.62 (95% CI: 2.54, 8.38) in the older subgroup.
Conclusion
Frailty was associated with a higher risk of fall in people with type 2 diabetes, and the effects were higher in vulnerable groups. This evidence suggested that more attention should be paid to vulnerable groups for fall prevention.
Key Words: frailty, fall, type 2 diabetes, China, CHARLS
Introduction
As a major public health issue, fall is the second leading cause of accidental or unintentional injury-induced deaths worldwide with considerable social and economic burden (1), which could lead to various serious consequences (e.g. fractures, severe soft tissue injuries, hospitalization, and even death) with different severity (2, 3, 4). The risk of fall increases with aging and those middle-aged and the older are at the highest risk of fall (5). It was estimated that one-third of adults over 65 years old and one-half of adults over 80 fall each year worldwide (6). Approximately 37.3 million falls per year were severe enough to require medical attention, which were responsible for over 17 million disability-adjusted life years loss (1). However, few studies focused on the prevalence and risk factors of fall among middle-aged and older adults. Therefore, it is urgent to investigate the modifiable risk factors of fall in this population.
More and more evidence indicating the risk of fall is higher in patients with type 2 diabetes than that in healthy individuals was reported (7, 8). However, compared with the general population, higher bone mineral density was found in people with diabetes, which is generally considered as a protective factor for fall-related fractures. The ‘diabetes bone paradox’ indicates that other risk factors that lead to a higher incidence of fall in diabetic patients do exist. Thus, it is essential to identify the risk factors of fall in diabetic patients. Several common risk factors have been proposed to explain the association between diabetes mellitus and the risk of fall, including the cognitive impairment, poor physical performance, diabetic peripheral neuropathy, poor vision and hearing, and bone joint disorder (9, 10, 11, 12, 13). However, frailty, which was found to be one of the most significant risk factors in recent studies (14), has not yet been fully explored in diabetic patients yet.
Frailty is neither total disability nor full health. It refers to a health condition with increased risk for diseases and decreased body functions which is associated with aging (15, 16). A multitude of studies manifested that frailty was closely related to adverse outcomes, such as hospitalization, disability, need for care, and death (17, 18, 19), which were common in diabetic patients. Therefore, it is possible that the frailty status may associate with fall in patients with type 2 diabetes (20). As a result, we performed this study to investigate whether frailty was associated with fall among the middle-aged and older patients with type 2 diabetes.
Methods
China health and retirement longitudinal study (CHARLS)
Details of CHARLS are available elsewhere (21). In brief, CHARLS is a national population-based longitudinal health survey conducted by the National School of Development of Peking University, with a target population aged no less than 45 years. Baseline information was colleted in year 2011 and two follow-up surveys were performed every 2 years afterwards (i.e. in year 2013 and 2015, respectively). In order to produce a representative sample, a multi-staged probability sampling strategy was designed, combined with a probability-proportional-to-size sampling technique. Ethical approval for the study was granted by the Ethical Review Committee of Peking University (#IRB00001052-11015). A total of 17,708 participants from 150 counties or districts that fell within 28 provinces of China were included between June 2011 and March 2012. Finally, 2049 out of 17,708 participants were type 2 diabetic patients.
Data collection
Face-to-face computer-assisted interviews were adopted at the baseline and every two years during follow-up, which covered a series of questions about socioeconomic status, physical and mental health, individual characteristics and other physical measurements. The venous blood samples of fasting blood were drawn by trained nurses. Whole blood samples were collected for fasting plasma glucose (4 mL) and glycated hemoglobin (HbA1c) analysis (2 mL). According to the American Diabetes Association, participants were diagnosed with diabetes if they had either a fasting plasma glucose (FPG) ≥ 7.0 mmol/L (126 mg/dL), Hb1Ac ≥ 6.5%, or self-reported as having type 2 diabetes (22).
Outcome
The outcome in this study was fall, which was evaluated based on the following question in the baseline survey: ‘Have you fallen down in the last two years?’ The answer (and coding) was Yes (‘1’) or No (‘0’).
The frailty index
The FI, representing frailty status, was calculated by baseline health deficits of each participant in this study. The construction of the FI is available elsewhere based on the standard procedure and structure conducted by Searle and Rockwood (23). We selected variables that were associated with FI, and scored these variables from 0 to 1. In this study, the FI questionnaire consists of 39 items about deficit accumulation. It was produced based on the baseline characteristics of participants in CHARLS. These 39 deficit variables included questions about co-morbidities (n = 15), disabilities (n = 5), and activities of daily living (n = 19). Details are shown in Supplementary Table 1 (see section on supplementary materials given at the end of this article).
The answer to each binary variable was dichotomized, where ‘0’ referred to no deficit, and ‘1’ referred to the presence of the deficit. For activities of daily living variables, the ratings were classified into four categories: (i) ‘have no difficulty’ (scored 0); (ii) ‘have difficulty but can still do it’ (scored 0.33); (iii) ‘have difficulty and need help’ (scored 0.67); and (iv) ‘can’t do it’ (scored 1). The answer to the ‘self-rating of health’ was classified into four health states (Excellent = 0, Very Good = 0.25, Good = 0.5, Fair = 0.75 and Poor = 1). For each individual, the FI was calculated by dividing the total score of all the 39 variables by the scale of the FI questionnaire. For example, if a participant had two deficits which scored 1 point, five deficits which scored 0.33 points each, and all the other deficits scored 0, the FI would be (1 + 1 + (0.33×5))/39 = 0.09.
Other independent variables
Other independent variables were obtained from face-to-face interviews, including the social demographic information (i.e. age, gender, marital status, residence, and educational attainment), lifestyle (i.e. smoking and drinking status), health-related status (i.e. BMI, balance performance, grip strength, eyesight, co-morbid conditions, and overnight hospitalization in last year), and housing characteristics (i.e. type of toilet).
Statistical analysis
We used the Pearson chi-square test to examine the connection between categorical variables and the T-test to explore the differences between continuous variables. We calculated the odds ratio (OR), with and without adjustment, for fall by using a series of multivariate logistic regression models based on the FI and other covariates. Three models were constructed: mode l including frailty only; model 2 was adjusted for age; and model 3 was additionally adjusted for the other independent variables.
We also conducted sensitivity and subgroup analyses. In order to verify the robustness of the relationship between frailty and fall, the frailty was tested as a dichotomous variable: frailty or robust (depends on whether or not the participant’s FI was higher than the mean FI of overall participants (0.24)) in the sensitivity analysis. Subgroup analyses were conducted to investigate the effects of gender (male vs female), age strata (mid-aged: 45 ≤ age < 65 vs older participants aged ≥ 65), residence (rural vs urban), balance performance (keep semi-tandem stand above ≥ 10s vs keep semi-tandem stand above < 10s; keep full-tandem stand above ≥ 30s vs keep full-tandem stand above < 30s), type of toilet (with seat vs without seat), and co-morbid conditions (yes vs no).
Statistical analyses were conducted using R software, version 3.5.1 (R Foundation for Statistical Computing, Vienna, Austria). All P values were two-sided. P values less than 0.05 were considered statistically significant.
Results
There were 2148 participants with type 2 diabetes from 28 provinces in China included in this study (shown in Table 1). The mean participants age was 60.86 (s.d. = 9.58) years. 32.22% participants were aged over 65. The mean BMI was 24.47 (s.d. = 3.68) kg/m2, the mean grip strength was 33.14 (s.d. = 40.98) kg, and the mean FI score was 0.12 (s.d. = 0.11). Most participants were married or partnered (87.35%). About 39% of them were smokers, and 23% drank alcohol more than once per month. In terms of balance performance, most participants were able to hold semi-tandem stand for 10 s or more (97.38%) and hold full-tandem stand for at least 30 s (72.84%). Approximately 80% of the individuals had toilets without a seat, 14% wore glasses or corrective lenses, 83% had the co-morbid health conditions, and 14% have overnight hospitalization in the past year.
Table 1.
Characteristics | Overall participants (n = 2182) | Participants with/without fall | ||
---|---|---|---|---|
Yes (n = 401) | No (n = 1648) | P-value | ||
Age: mean ± s.d., years | 60.86 ± 9.58 | 62.22 ± 9.63 | 60.54 ± 9.43 | 0.001a |
Age strata: n (%) | 0.003b | |||
<65 | 1479 (67.78) | 247 (61.60) | 1142 (69.30) | |
≥65 | 703 (32.22) | 154 (38.40) | 506 (30.70) | |
Sex: n (%) | 0.001b | |||
Male | 826 (46.77) | 125 (38.11) | 652 (48.15) | |
Female | 940 (53.23) | 203 (61.89) | 702 (51.85) | |
BMI: mean ± s.d., kg/m2 | 24.47 ± 3.68 | 24.49 ± 3.94 | 24.47 ± 3.61 | 0.93a |
Marital status: n (%) | 0.86b | |||
Married/partnered | 1905 (87.35) | 350 (87.28) | 1443 (87.61) | |
Divorced/widowed/single | 276 (12.65) | 51 (12.72) | 204 (12.39) | |
Residence: n (%) | <0.001b | |||
Urban | 646 (29.71) | 91 (22.69) | 515 (31.40) | |
Rural | 1528 (70.29) | 310 (77.31) | 1125 (68.60) | |
Smoking: n (%) | 0.087b | |||
Yes | 847 (39.01) | 140 (35.00) | 653 (39.65) | |
No | 1324 (60.99) | 260 (65.00) | 994 (60.35) | |
Alcohol use: n (%) | 0.35c | |||
>1 per month | 504 (23.23) | 83 (20.75) | 389 (23.62) | |
≤1 per month | 144 (6.64) | 31 (7.75) | 106 (6.44) | |
No | 1522 (70.14) | 286 (71.50) | 1152 (69.95) | |
Educational attainment: n (%) | 0.059b | |||
High school or less | 1896 (87.05) | 361 (90.02) | 1423 (86.50) | |
More than high school | 282 (12.95) | 40 (9.98) | 222 (13.50) | |
Balance performance: n (%) | ||||
Semi-tandem stand | 0.052b | |||
≥10s | 1710 (97.38) | 329 (95.92) | 1363 (97.78) | |
<10s | 46 (2.62) | 14 (4.08) | 31 (2.22) | |
Full-tandem stand | 0.006b | |||
≥30s | 1223 (72.84) | 219 (66.97) | 994 (74.46) | |
<30s | 456 (27.16) | 108 (33.03) | 341 (25.54) | |
Type of toilet: n (%) | 0.25b | |||
Without seat | 1730 (79.87) | 328 (82.21) | 1307 (79.65) | |
With seat | 436 (20.13) | 71 (17.79) | 334 (20.35) | |
Grip strength: mean ± s.d., kg | 33.14 ± 40.98 | 31.49 ± 53.28 | 33.00 ± 27.69 | 0.46a |
Eyesight (wear glasses or corrective lenses): n (%) | 0.029b | |||
Yes | 294 (13.54) | 334 (83.29) | 1440 (87.43) | |
No | 1878 (86.46) | 67 (16.71) | 207 (12.57) | |
Co-morbid conditions: n (%) | 0.002b | |||
Yes | 1802 (82.58) | 353 (88.03) | 1343 (81.49) | |
No | 380 (17.42) | 48 (11.97) | 305 (18.51) | |
Overnight hospitalization in last year: n (%) | 0.001b | |||
Yes | 296 (13.63) | 74 (18.50) | 202 (12.27) | |
No | 1875 (86.37) | 326 (81.50) | 1444 (87.73) | |
Frailty index: mean ± s.d. | 0.12 ± 0.11 | 0.16 ± 0.11 | 0.11 ± 0.10 | <0.001a |
aStudent’s t-test; bChi-square test.
Table 1 shows the comparisons between the participants with and without fall. Overall, out of 2049 participants who responded, 1648 participants (80.43%) reported a history of fall in the last 2 years. Mean age and mean FI score of participants with fall were significantly higher than those without fall (P < 0.01 and P < 0.01, respectively). There was also a significant difference between gender, residence, balance performance, eyesight, No. of co-morbid conditions, and overnight hospitalization in last year in participants with or without falls (P < 0.05).
Table 2 shows that frailty was significantly related to the increased risk of fall in all models. In the basic model (model 1), when frailty was considered as a continuous variable, a per-0.01 and a per-s.d. FI increase were associated with an OR of 1.05 (95% CI: 1.04, 1.06), and 1.65 (95% CI: 1.48,1.84), respectively. When frailty was considered as a categorical variable (frailty or robust), it was highly related to an increased risk of fall, with an OR of 3.26 (95% CI: 2.61, 4.09). In the age-adjusted and fully-adjusted models (model 2 and model 3), the effects decreased slightly but remained significantly positive.
Table 2.
Model 1 | Model 2 | Model 3 | ||||
---|---|---|---|---|---|---|
OR (95% CI) | P-value | OR (95% CI) | P-value | OR (95% CI) | P-value | |
Continuous | ||||||
Per-0.01 increase | 1.05 (1.04, 1.06) | <0.001 | 1.05 (1.04, 1.06) | <0.001 | 1.06 (1.04, 1.09) | <0.001 |
Per-s.d. increase | 1.65 (1.48, 1.84) | <0.001 | 1.62 (1.45, 1.82) | <0.001 | 1.89 (1.50, 2.38) | <0.001 |
Dichotomizeda | ||||||
Frailtyb | 3.26 (2.61, 4.09) | <0.001 | 3.18 (2.53, 4.00) | <0.001 | 3.08 (2.18, 4.34) | <0.001 |
Model 1 (Basic model): Only frailty included in the model for analysis; Model 2 (age-adjusted model): Model 1 + age; Model 3 (Fully-adjusted model): Model 2 + gender, BMI, marital status, smoking status, drinking status, residence, education level, balance performance (semi-tandem stand and full-tandem stand), type of toilet, grip strength, eyesight, co-morbid condition, overnight hospitalization in last year.
aTaking robust as reference; bParticipants with FI scores higher than mean FI score of overall participants (0.24) were classified to frailty.
OR, odds ratio.
Table 3 illustrates the results of subgroup analyses in multivariable models. We found that the association between frailty and the risk of fall varied among different subgroups including gender, age strata, residence, balance performance, toilet type and health status. For instance, when frailty status was regarded as a continuous variable, per-0.01 and per-s.d. increase in the FI for the older was associated an OR for fall equal to 1.08 (95% CI: 1.05, 1.12) and 2.46 (95% CI: 1.68, 3.62), respectively. When frailty was used as a dichotomous variable, frailty was associated with larger ORs (4.62, 95% CI: 2.54, 8.38), which was greater than that found in the young (OR equal to 2.49, 95% CI: 1.68, 3.68).
Table 3.
Subgroup | Multivariable modela | ||
---|---|---|---|
Continuous | Dichotomizedb | ||
OR (95% CI) for per-0.01 increase in FI, P-value | OR (95% CI) for per-s.d. increase in FI, P-value | OR (95% CI), P-value | |
Gender | |||
Male | 1.04 (1.01, 1.07), 0.006 | 1.54 (1.13, 2.08), 0.006 | 3.50 (2.08, 5.89), <0.001 |
Female | 1.08 (1.05, 1.11), <0.001 | 1.99 (1.54, 2.56), <0.001 | 2.94 (1.95, 4.45), <0.001 |
Age strata | |||
<65 | 1.04 (1.02, 1.07), <0.001 | 1.54 (1.20, 1.96), <0.001 | 2.49 (1.68, 3.68), <0.001 |
≥65 | 1.08 (1.05, 1.12), <0.001 | 2.46 (1.68, 3.62), <0.001 | 4.62 (2.54, 8.38), <0.001 |
Residence | |||
Urban | 1.05 (1.00, 1.09), 0.036 | 1.68 (1.04, 2.73), 0.036 | 1.90 (0.90, 4.01), 0.092 |
Rural | 1.06 (1.04, 1.09), <0.001 | 1.92 (1.51, 2.43), <0.001 | 3.36 (2.36, 4.79), <0.001 |
Semi-tandem stand | |||
≥10s | 1.06 (1.04, 1.08), <0.001 | 1.68 (1.42, 1.99), <0.001 | 3.09 (2.25, 4.24), <0.001 |
<10s | 1.09 (1.06, 1.13), <0.001 | 1.89 (1.53, 2.41), <0.001 | 4.33 (1.71, 3.17), <0.001 |
Full-tandem stand | |||
≥30s | 1.06 (1.03, 1.09), <0.001 | 1.57 (1.29, 1.92), <0.001 | 3.16 (2.15, 4.65), <0.001 |
<30s | 1.06 (1.03, 1.10), <0.001 | 1.75 (1.29, 2.37), <0.001 | 2.72 (1.51, 4.90), <0.001 |
Type of toilet | |||
Without seat | 1.07 (1.04, 1.09), <0.001 | 1.96 (1.57, 2.46), <0.001 | 3.46 (2.44, 4.91), <0.001 |
With seat | 1.04 (0.98, 1.11), 0.19 | 1.57 (0.80, 3.10), 0.19 | 1.92 (0.82, 4.51), 0.13 |
Co-morbid conditions | |||
No | 1.08 (0.97, 1.21), 0.16 | 1.25 (0.89, 1.77), 0.16 | 4.12 (0.46, 36.78), 0.21 |
Yes | 1.06 (1.04, 1.08), <0.001 | 1.82 (1.47, 2.25), <0.001 | 2.98 (2.16, 4.12), <0.001 |
Overnight hospitalization in last year | |||
No | 1.06 (1.04, 1.08), <0.001 | 1.79 (1.44, 2.24), <0.001 | 3.01 (2.13, 4.25), <0.001 |
Yes | 1.06 (1.00, 1.12), 0.047 | 1.92 (1.01, 3.67), 0.047 | 3.21 (1.30, 7.95), 0.012 |
aModel adjusted for age, gender, BMI, marital status, smoking status, drinking status, residence, education level, balance performance (semi-tandem stand and full-tandem stand), type of toilet, grip strength, eyesight, co-morbid condition, overnight hospitalization in last year; bTaking robust as reference.
OR, odds ratio.
The same associations were found in other subgroups. The ORs for fall in the female and in the participants with no-sitting toilet were higher than that in the male and in those people with a sitting toilet. The rural residents were more susceptible to fall than the urban residents. Individuals with good balance performance were at less risk of fall compared to those with poor performance. The presence of co-morbid conditions and overnight hospitalization experience in the past year would lead to an increasing risk of fall, while the significant association between frailty and fall in individuals without chronic diseases was not found. The effects of frailty on fall increased when the frailty state was considered as a binary variable, while the effects became non-significant among urban residents, individuals with no-sitting toilet, and participants with no co-morbid health conditions.
Discussion
In this study, we found a significant association between frailty and risk of fall among individuals with type 2 diabetes. Furthermore, after age and other covariates being adjusted, the association still remained. Our subgroup analyses also provided evidence that the woman, older age, rural living area, poor balance performance, toilet without seat, and poor health condition (i.e. in co-morbid condition and/or hospitalized overnight in the past year) might may strengthen the association between frailty and fall. Our findings contribute to the development of targeted strategies for fall prevention in China.
In general, the observed association between the frailty and the risk of fall was enormous in diabetes. The estimated risk of fall in our present study (per-0.01 increment in continuous variable FI corresponded to an OR of 1.06; categorical variables with an OR of 3.08) was consistent with or higher than those reported from several former studies. For example, a cohort study in Canada reported an OR of 1.02 (95% CI: 1.02, 1.03) in fall for each 0.01 increase in the FI among menopausal women (14). Moreover, a recent meta-analysis informed that frailty was significantly associated with a higher risk of future falls (OR = 1.84, 95% CI: 1.43, 2.38) among community-dwelling older people (24). As frailty status deteriorates with aging, the effects of frailty on fall may be underestimated because the participants of our study included middle-aged adults. Thus, it is highly possible that controlling frailty may play an important role in preventing fall in middle-aged and older people with diabetes.
We found that the association between frailty and risk of fall was different in diabetics with different age, gender and residence (urban or rural area). Frail women, senior citizens, and rural inhabitants were more vulnerable to fall. Our results were consistent with those in previous studies (25, 26). Several possible reasons could explain it. First, in the same age group, women have a higher level of FI than men, which suggests that women are more frail than men (27). Second, FI score increases with aging (28, 29). Third, rural inhabitants usually have poorer economic conditions and lower education level compared with urban residents, which may contribute to the frailty (30).
In addition, the association between frailty and the risk of fall varied in subgroups by balance performance (semi-tandem stand and full-tandem stand), type of toilet and health states (co-morbid conditions and hospitalizations). Our results illustrated that people with poor balance performance are at a higher risk of fall, compared with people with excellent balance performance. Consistent findings have been reported previously (31, 32).
We did not find significant associations between frailty and fall among people with sitting toilet and individuals without a co-morbid condition. The underlying reasons could be that the residents with a sitting toilet generally had good economic status, and thus they would be better able to respond to frailty, which leads to a decreased vulnerability. In addition, no association was seen in frailty leading to fall in individuals with no morbid condition.
There have been a number of mechanisms proposed to explain the association between frailty and fall in diabetes. People with diabetes developed visual impairment, cognitive impairment, musculoskeletal lesion of the lower limbs and vestibular dysfunction. These symptoms could be aggravated by frailty (33, 34). Frailty is usually accompanied by low bone mineral density, decreased muscle mass, and chronic inflammation, all of which are typical risk factors for fall (35).
Based on this large population-based study, our results can be used as a reference to prevent diabetic patients to fall in China. Additionally, our findings suggest the potential benefits among people at risk for fall, especially for people with frailty. Fall prevention should be a part of daily routines for people in the state of frailty. Improved quality of life and reduced physical symptoms could contribute to preventing fall. Nonetheless, many research gaps still exist in this area and more studies are needed to further clarify the mechanism of frailty on fall in diabetic patients.
Last but not least, there were some limitations in our study. First, an exact relationship between frailty and fall could not be confirmed because this study was a cross-sectional study. Further research is needed to verify it. Second, the same as with previous large-population-based studies, the data for falls were based on self-reports from participants. Therefore, estimates regarding these conditions may be affected by potential bias. Finally, since our analyses were based on secondary data, further analyses adjusting for some important factors were precluded. For instance, important variables including living environment (36), diabetic status, nutrients intake, musculoskeletal function, and sarcopenia or some other laboratory parameters were not available in this study. It was unknown about whether these variables would represent a threat to validity of our results due to no analyses performed.
Conclusion
To summarize, our findings suggested that frailty might play an essential role in risk of falls in type 2 diabetes, with higher effects found in vulnerable subgroups. Findings from this study may be helpful for decision-making for fall prevention.
Supplementary Material
Declaration of interest
The authors declare that there is no conflict of interest that could be perceived as prejudicing the impartiality of the research reported.
Funding
This study was supported by research grants from the Science Foundation of Guangdong Second Provincial General Hospital (YY2018-002).
Ethics approval and consent to participate
Each participant included in this study signed a written informed consent form before taking the survey. Ethics approval for the data collection in CHARLS was obtained from the Biomedical Ethics Review Committee of Peking University (IRB00001052-11015). Ethics approval for the use of CHARLS data was obtained from the University of Newcastle Human Research Ethics Committee (H-2015-0290).
Data availability
The original datasets and questionnaires supporting the conclusions of this article are available at the CHARLS website (http://forum.charls.pku.edu.cn).
Author contribution statement
X W, Y Q, and G L contributed the study concept and design; X W contributed the statistical analysis; X W, Z L and X C drafted the manuscript; Z C, B C, Y Q, G L and J A critically revised the manuscript. X W and Y Q contributed equally to this work.
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
The original datasets and questionnaires supporting the conclusions of this article are available at the CHARLS website (http://forum.charls.pku.edu.cn).