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The impact of chronic diseases on all-cause mortality in Spain: A population-based cohort study
El papel de las enfermedades crónicas en la mortalidad total en España: un estudio de cohortes de base poblacional
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Elena Caride-Mianaa,
Corresponding author
e.carid@gmail.com

Corresponding author.
, Domingo Orozco-Beltránb, Jose Antonio Quesada-Ricob,c, Jose Joaquin Mira-Solvesd,e
a Doctoral Candidate, University Miguel Hernández de Elche, N332 87, 0330 Sant Joan Alicante, Spain
b Clinical Medicine Department, University Miguel Hernández de Elche, Spain
c Network for Research on Chronicity, Primary Care, and Health Promotion (RICAPPS), Spain
d Health Psychology Department, Universidad Miguel Hernandez, Elche, Spain
e ATENEA Research, Alicante-Sant Joan Health District, Spain
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Table 1. Six-year mortality according to the presence of different chronic diseases.
Table 2. Multivariate Cox proportional hazards model for mortality at 6 years.
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Abstract
Objective

Our study aimed to assess the association between all-cause mortality and the most prevalent chronic diseases in Spain, including diabetes mellitus.

Design

Population-based retrospective cohort study.

Site

Spanish population (Spanish National Health Survey).

Participants

A population numbering 14,584 respondents of both sexes aged 40 years or older was selected.

Main measurements

The outcome variable was all-cause mortality over 6-year follow-up, measured by probabilistic cross-matching with the national death registry. Socioeconomic variables, health indicators, service use, and behavioral factors were collected. The main data source was the National Statistics Institute.

Results

Of the 14584 people included, 1346 (9.2%) died over 6-year follow-up. Regarding the most prevalent chronic diseases, those showing the strongest association with mortality were cancer (HR 1.74, 95% CI 1.40–2.16); chronic lung diseases (chronic obstructive pulmonary disease, bronchitis, or emphysema; HR 1.44, 95% CI 1.19–1.70); acute myocardial infarction (HR 1.33, 95% CI 1.08–1.65); and diabetes (HR 1.23, 95% CI 1.06–1.42). Less prevalent chronic diseases also increased mortality risk, including cirrhosis/liver disease (prevalence 1.5%; HR 1.67, 95% CI 1.22–2.29) and cerebrovascular diseases, including embolism and stroke (prevalence 2%; HR 1.39, 95% CI 1.07–1.81).

Conclusions

Chronic diseases affect over half the population aged 40 years and older in Spain. Some of the most prevalent conditions are closely associated with all-cause mortality. These include chronic lung diseases, acute myocardial infarction, and diabetes. Given their impact on mortality in the population, more efforts are needed in chronic disease prevention and management.

Keywords:
Mortality
Chronic disease
Epidemiology
Diabetes mellitus
Pulmonary disease
Chronic obstructive
Abbreviations:
HRs
CIs
CVD
COPD
DM
INE
BMI
SD
AMI
Resumen
Objetivo

El objetivo fue analizar la asociación entre las principales enfermedades crónicas más prevalentes como la diabetes mellitus con la mortalidad por cualquier causa en la población española.

Diseño

Estudio de cohortes retrospectivo de base poblacional.

Emplazamiento

Población española (Encuesta Nacional de Salud de España).

Participantes

Catorce mil quinientos ochenta y cuatro participantes de ambos sexos mayores de 40 años.

Mediciones principales

La variable respuesta fue la mortalidad total durante el seguimiento a 6 años, medida mediante el cruce probabilístico con el registro nacional de defunciones. Se midieron variables socioeconómicas, de salud, uso de servicios y hábitos de vida. La fuente primaria de datos fue el Instituto Nacional de Estadística.

Resultados

Se analizaron a 14.584 sujetos, y se produjeron 1.346 fallecimientos por cualquier causa en 6 años de seguimiento, con una incidencia acumulada del 9,1%. Con respecto a las enfermedades crónicas más prevalentes la existencia de bronquitis crónica, enfisema o EPOC; de DM; la existencia de tumores, así como haber padecido un infarto agudo de miocardio (IAM), presentan mayor mortalidad. Hallándose un riesgo de muerte en 6 años (HR: 1,74; IC 95%: 1,40-2,16) en pacientes con tumores; HR: 1,44 e IC 95%: 1,19-1,70 en pacientes con enfermedad pulmonar crónica (bronquitis crónica, enfisema o EPOC), el IAM (HR: 1,33; IC 95%: 1,08-1,65) en pacientes con IAM y la diabetes (HR: 1,23; IC 95%: 1,06-1,42 en pacientes con DM).

Del mismo modo, se detectó un aumento de riesgo de mortalidad relacionado con la existencia de enfermedades crónicas menos prevalentes como la cirrosis o la disfunción hepática HR: 1,67; IC 95%: 1,22-2,29, con una prevalencia del 1,5% en la muestra, así como de las enfermedades cerebrovasculares (embolia, infarto cerebral, hemorragia cerebral) HR: 1,39; IC 95%: 1,07-1,81, con una prevalencia del 2%.

Conclusiones

Las enfermedades crónicas afectan a más de la mitad de la población española mayor de 40 años, observándose asociación significativa de algunas de las enfermedades crónicas más prevalentes y que presentan mayor morbimortalidad en las consultas de atención primaria (la enfermedad pulmonar crónica, la bronquitis o el enfisema, el infarto agudo de miocardio y la diabetes) con la mortalidad total en España. Este estudio pone de manifiesto que son necesarios más esfuerzos en la prevención y en el manejo de estas enfermedades crónicas en las consultas de atención primaria debido a su relación con la mortalidad.

Palabras clave:
Mortalidad
Enfermedades crónicas
Epidemiología
Diabetes mellitus
Enfermedad
Pulmonar obstructiva crónica
Full Text
Introduction

Chronic diseases are an independent predictor of mortality.1,2 They reduce an individual's life expectancy by an average of 1.8 years and together account for 63% of all deaths worldwide.3 Two-thirds of these deaths are caused by just four conditions—cardiovascular disease (CVD), cancer, chronic obstructive pulmonary disease (COPD), and diabetes mellitus (DM)—which predominantly affect people over 64 years of age.4 CVD, mental health disorders, and DM are associated with at least a 33% reduction in survival in the population over 65 years of age,5 with CVD and DM representing the leading causes of premature death in the population.6

Diabetes is associated with an increased risk of all-cause mortality.7 Different studies have tried to quantify this relationship, with heterogeneous results8–10 that nevertheless confirm a clear increase in the risk of death from all causes in people with DM, with hazard ratios (HRs) that range from 1.15 to 3.15.8–10 The few studies carried out in the Spanish population have taken place in geographically disparate regions, and none have assessed the contribution of DM to all-cause mortality throughout the territory.11,12

With respect to other chronic diseases such as COPD, published estimates of its association with all-cause mortality worldwide range from HR 1.41 (95% CI 1.32–1.50) to HR 1.61 (95% CI 1.32–1.95)13,14 with most mortality studies focusing on understanding the factors involved in COPD mortality in order to develop prognostic risk scales in these patients.15

As for CVD, this is the leading cause of morbidity and mortality in industrialized countries, accounting for 45% of all deaths in people over 65 years of age. Numerous studies have estimated the risk of CVD mortality, and several cardiovascular risk scales have been developed In Spain, CVD is the leading cause of death, representing 24.3% of the total in 2020 according to data from the National Statistics Institute (INE).16

Data from the INE on demographic trends, specifically population aging, suggest that the percentage of the population over 65 years of age in Spain (which stood at 19.6% in 2021) will peak at 31.4% around 2050.17 Despite the increasing burden of chronic diseases in the population and their economic impact, no recent studies have analyzed the effect of these diseases on mortality in Spain. Thus, this study aimed to assess the association between all-cause mortality and the most prevalent chronic diseases in Spain, including DM.

Material and methodsStudy design and population

This retrospective population-based cohort study included respondents from the INE 2011–2012 National Health Survey.18,19 This health survey provides representative data on all adults (≥15 years of age) residing in Spain and is conducted with a complex sample design. For this study, a population numbering 14,584 respondents of both sexes aged 40 years or older was selected. The recruitment period for the 2011–2012 National Health Survey was July 2011–June 2012. The duration of follow-up to measure mortality was 6.4 years (1 July 2011–31 December 2017).

Variables

The outcome variable was all-cause mortality (yes/no); the date of death was obtained from the INE, which cross-referenced information and data between the health survey and the national death registry by cause of death.

The explanatory variables collected in the National Health Survey were also analyzed.

  • Sociodemographic variables: age, sex, social class (range I–VI, determined according to standard health survey methods and based on the respondent's occupation), size of municipality, autonomous community, nationality, educational attainment, marital status, and monthly income.

  • Behavioral and clinical characteristics: body mass index (BMI), smoking habits (smoker/ex-smoker/never smoker), alcohol intake (yes/no, plus weekly intake in grams of pure alcohol), hours of sleep, physical activity, diet (intake of fruit, vegetables, legumes, dairy products, sweets, fast food), dental hygiene (tooth brushing), and self-perceived health according to both a Likert scale (very good/good/fair/poor/very poor) and a visual analog scale.

  • Chronic diseases: dichotomously (yes/no/does not know) and in terms of specific disease groups: chronic CVD (hypertension, acute myocardial infarction, other cardiac diseases), respiratory diseases (asthma, chronic bronchitis, emphysema, chronic obstructive pulmonary disease [COPD]), metabolic diseases (DM, thyroid disease), cancer, and mental disorders (depression, anxiety, other).

  • Other clinical conditions: varicose veins, osteoarthritis, chronic cervical pain, chronic lower back pain, allergy, stomach ulcer, urinary incontinence, high cholesterol, cataracts, skin problems, constipation, cirrhosis, stroke, migraine, hemorrhoids, osteoporosis, accidents in the last year, and mobility limitations.

  • Health services use: use of glasses, use of hearing aids, hospital admissions in previous year, primary care visits, urgent care, specialist visits (physiotherapy, psychology, and radiology), and flu vaccination.

Statistical analysis

A descriptive analysis of the variables was performed, calculating frequencies for categorical variables and mean, standard deviation (SD), and range for quantitative variables. An analysis of missing data was carried out using a simple imputation process, stratified by the mortality outcome (yes/no). For quantitative variables, imputation was performed using the mean value, and for categorical variables using the most frequent category.

Factors associated with mortality were analyzed using contingency tables, applying the Chi-squared test for categorical variables and the Student's t test for quantitative variables. The magnitude of the associations was estimated by fitting multivariate Cox proportional hazards models, using a stepwise variable selection procedure based on the Akaike information criterion. The proportional hazards hypothesis was tested, applying a time-dependent term in the variables that did not comply with these hypotheses. Results were expressed as HRs and their 95% confidence intervals (CIs). Goodness-of-fit indicators and predictive indicators such as Harrell's C-index20 are shown.

To obtain estimates representative of the Spanish population, a complex sampling strategy was applied, using as a weighting factor the survey elevation factor divided by its mean, obtaining weights centered on its mean.21 All analyses were carried out using SPSS v.28 and R v.4.2.2.

Results

A total of 14,584 respondents aged 40 years or older from the National Health Survey were included, with a mean age of 58.9 years. Overall, 52.6% were women, 89.9% had Spanish nationality, and 55.2% self-reported having some chronic disease (Table S1). The most prevalent were hypertension (32.5%), DM (11.4%), and chronic lung disease (6.5%) (Table 1).

Table 1.

Six-year mortality according to the presence of different chronic diseases.

Chronic disease or condition  Total (N=14,584)Survived (N=13,239)Died (N=1345) 
  n  n  n  P 
Any chronic disease or health problem
No  6527  44.8%  6254  95.8%  273  4.2%  <0.001 
Yes  8057  55.2%  6984  86.7%  1073  13.3%   
Hypertension
No  9844  67.5%  9181  93.3%  663  6.7%  <0.001 
Yes  4740  32.5%  4058  85.6%  682  14.4%   
Myocardial infarction
No  14,123  96.8%  12,921  91.5%  1202  8.5%  <0.001 
Yes  461  3.2%  318  68.8%  144  31.2%   
Other heart diseases
No  13,289  91.1%  12,271  92.3%  1018  7.7%  <0.001 
Yes  1295  8.9%  967  74.7%  328  25.3%   
Varicose veins in the legs
No  12,152  83.3%  11,078  91.2%  1075  8.8%  <0.001 
Yes  2432  16.7%  2161  88.9%  271  11.1%   
Arthrosis, arthritis, or rheumatism
No  10,252  70.3%  9591  93.5%  662  6.5%  <0.001 
Yes  4332  29.7%  3648  84.2%  684  15.8%   
Chronic cervical pain
No  11,400  78.2%  10,430  91.5%  970  8.5%  <0.001 
Yes  3184  21.8%  2808  88.2%  376  11.8%   
Chronic lumbar pain
No  10,765  73.8%  9864  91.6%  901  8.4%  <0.001 
Yes  3819  26.2%  3374  88.4%  445  11.6%   
Chronic allergy (excluding allergic asthma)
No  12,967  88.9%  11,726  90.4%  1241  9.6%  <0.001 
Yes  1617  11.1%  1513  93.6%  104  6.4%   
Asthma
No  13,918  95.4%  12,676  91.1%  1243  8.9%  <0.001 
Yes  666  4.6%  563  84.5%  103  15.5%   
Chronic bronchitis, emphysema, chronic obstructive pulmonary disease
No  13,633  93.5%  12,537  92.0%  1095  8.0%  <0.001 
Yes  951  6.5%  701  73.7%  250  26.3%   
Diabetes
No  12,925  88.6%  11,906  92.1%  1019  7.9%  <0.001 
Yes  1659  11.4%  1333  80.3%  326  19.7%   
Stomach or duodenal ulcer
No  13,704  94.0%  12,481  91.1%  1222  8.9%  <0.001 
Yes  880  6.0%  757  86.0%  123  14.0%   
Urinary incontinence
No  13,764  94.4%  12,692  92.2%  1072  7.8%  <0.001 
Yes  820  5.6%  547  66.7%  273  33.3%   
High cholesterol
No  10,581  72.6%  9620  90.9%  961  9.1%  0.34 
Yes  4003  27.4%  3618  90.4%  384  9.6%   
Cataracts
No  12,641  86.7%  11,794  93.3%  847  6.7%  <0.001 
Yes  1943  13.3%  1445  74.4%  498  25.6%   
Chronic skin problems
No  13,763  94.4%  12,523  91.0%  1240  9.0%  <0.001 
Yes  821  5.6%  715  87.2%  105  12.8%   
Cirrhosis, liver dysfunction
No  14,364  98.5%  13,068  91.0%  1295  9.0%  <0.001 
Yes  220  1.5%  170  77.3%  50  22.7%   
Chronic depression
No  13,045  89.4%  11,910  91.3%  1135  8.7%  <0.001 
Yes  1539  10.6%  1328  86.3%  211  13.7%   
Chronic anxiety
No  13,103  89.8%  11,919  91.0%  1184  9.0%  0.021 
Yes  1481  10.2%  1320  89.1%  161  10.9%   
Other mental disorder
No  14,255  97.7%  13,053  91.6%  1202  8.4%  <0.001 
Yes  329  2.3%  185  56.3%  144  43.7%   
Stroke, cerebral infarction, cerebral hemorrhage
No  14,298  98.0%  13,066  91.4%  1233  8.6%  <0.001 
Yes  286  2.0%  173  60.5%  113  39.5%   
Migraine or frequent headache
No  13,012  89.2%  11,791  90.6%  1221  9.4%  0.055 
Yes  1572  10.8%  1447  92.1%  124  7.9%   
Malignant tumors
No  13,935  95.6%  12,762  91.6%  1173  8.4%  <0.001 
Yes  649  4.4%  476  73.4%  172  26.6%   
Osteoporosis
No  13,576  93.1%  12,406  91.4%  1170  8.6%  <0.001 
Yes  1008  6.9%  833  82.6%  176  17.4%   
Thyroid disease
No  13,567  93.0%  12,301  90.7%  1266  9.3%  0.098 
Yes  1017  7.0%  937  92.2%  79  7.8%   

Altogether, 1346 people died over six-year follow-up, for a cumulative incidence of all-cause mortality of 9.2%. The mean age in the deceased group was 76.6 years. The mortality rate was 13.3% in people who self-reported having some type of chronic disease, compared to 4.2% in those who did not. With respect to the individual assessment of each of the 27 chronic diseases studied, statistically significant differences in mortality at six years were detected for 25 diseases, including several of those most commonly encountered in clinical practice: 31.2% versus 8.5% in people with versus without a history of acute myocardial infarction (AMI), 26.3% versus 8% in patients with COPD, 26.6% versus 8.4% in those with malignant tumors, and 19.7% versus 7.9% in people with a diagnosis of DM.

Among the most prevalent chronic diseases, those showing a significant association with mortality in the multivariate Cox model included chronic bronchitis, emphysema, or COPD (HR 1.43, 95% CI 1.19–1.70); DM (HR 1.23, 95% CI 1.06–1.42); cancer (HR 1.74, 95% CI 1.40–2.16); and history of AMI (HR 1.33, 95% CI 1.08–1.65) (Table 2). Some of the less prevalent chronic diseases showed similar or even higher-magnitude associations, including cirrhosis/liver dysfunction (prevalence 1.5% in the sample; HR 1.67, 95% CI 1.22–2.29) and cerebrovascular diseases including embolism and stroke (prevalence 2%; HR 1.39, 95% CI 1.07–1.81) (Table 2).

Table 2.

Multivariate Cox proportional hazards model for mortality at 6 years.

Chronic disease or condition  HRa  95% CI  p 
Myocardial infarction  1.33  (1.08–1.65)  0.008 
Arthrosis, arthritis or rheumatism  0.80  (0.70–0.93)  0.003 
Chronic allergy  0.73  (0.59–0.91)  0.006 
Chronic bronchitis, emphysema, or COPD  1.43  (1.19–1.70)  <0.001 
Diabetes  1.23  (1.06–1.42)  0.006 
High cholesterol  0.72  (0.62–0.83)  <0.001 
Cirrhosis, liver dysfunction  1.67  (1.22–2.29)  0.002 
Other mental disorders  1.64  (1.30–2.09)  <0.001 
Embolism, cerebral infarction, cerebral hemorrhage  1.39  (1.07–1.81)  0.013 
Malignant tumors  1.74  (1.40–2.16)  <0.001 
Activity restriction in the last 2 weeks  1.19  (1.00–1.42)  0.051 
Hospital admission in the previous year  2.10  (1.51–2.93)  <0.001 
Self-perceived health (VAS)  0.99  (0.989–0.997)  0.001 
Follow-up time x hospital admission in year prior to survey  0.99  (0.982–0.996)  0.004 

CI: confidence interval; COPD: chronic obstructive pulomonary disease; HR: hazard ratio; VAS: visual analog scale.

N=14,584; n deaths=1345; likelihood ratio test=3583 (p<0.001); C-index=0.891, 95% CI 0.882–0.900.

a

Adjusted for autonomous community, sex, age, BMI, marital status, tobacco use, hours of sleep, main daily activity, leisure-time physical activity, fruit intake, dental hygiene, and self-perceived health.

Other factors associated with an increased risk were smoking (HR 1.66, 95% CI 1.32–2.09), no fruit intake (HR1.84, 95% CI 1.30–2.61), and very poor self-perceived health (HR 2.55, 95% CI 1.67–3.99). Hospital admission in the previous year was also associated with a two-fold risk of death (HR 2.10, 95% CI 1.51–2.93), although the magnitude of this risk decreased over time, depending on the length of follow-up (Fig. 1). On the other hand, protective factors were female sex (HR 0.59, 95% CI 0.50–0.70), marriage (HR 0.63, 95% CI 0.51–0.79), and occasional physical activity (HR 0.73, 95% CI 0.62–0.86).

Figure 1.

Multivariate Cox model for the association between risk of mortality and hospital admission in the year preceding the survey, according to length of follow-up.

(0.14MB).
Discussion

Our study underscores the high prevalence of chronic diseases in people aged 40 years or more in Spain and provides a more accurate and current picture of the impact of these diseases on overall mortality. Well over half (55.2%) the sample had at least one chronic disease, and the all-cause mortality in this group was over three times higher (13.3%) than in those without (4.2%). Four diseases stand out for the considerable impact they have on population mortality, arising from the combination of high prevalence and significantly increased risk of death: cancer, chronic lung disease, AMI, and DM.

Our results are consistent with the literature, confirming the important impact of chronic diseases on population morbidity and their status as independent risk factors for mortality.1–5 In our study, people with DM carried a 22.7% higher risk of dying at six years than those without. This risk is lower than that estimated in previous studies, such as the ASTURIAS study, which found a nearly three-fold higher risk of cardiovascular death in people with versus without DM. Similarly, the FRESCO study reported that people with diabetes carried over twice the risk of all-cause death than those without (HR 1.56, 95% CI 1.39–1.75 in men and HR 1.85, 95% CI 1.59–2.14 in women).12,13 This difference in the mortality risk may be attributable to the differences in study periods: the ASTURIAS study started in 1998 and the FRESCO study included population cohorts from 1991, 13 and 21 years, respectively, prior to our study. In light of previous studies showing a decrease in the mortality trends associated with DM in our country,22 our study allows us to update our data on the mortality impact of the different chronic diseases in Spain, in line with the results obtained elsewhere in Europe.23,24

With respect to chronic lung diseases, some older studies analyzed all-cause mortality in patients with COPD in Spain, estimating that mortality in people aged 65–70 years is 33% to 47% at 4–7 years25,26; however, no recent studies have updated these estimates. Our data show that chronic lung diseases are associated with a mortality risk of 42% in people aged 40 or older over 6.4 years in Spain. Likewise, we observed a 33.4% higher risk of six-year mortality in people with versus without a history of AMI, contributing new data on this relationship in the Spanish population.

Our survival analysis also identified certain protective factors: female sex, marriage, and physical activity. In contrast, tobacco use and “very poor” self-perceived health were associated with a higher mortality risk. Hospital admission in the previous year also increased the mortality risk (Fig. 1). These results agree with those obtained in previous studies elsewhere,27–30 confirming that these factors are also relevant for mortality in the Spanish population.

The strengths of the study include the population-based nature of the health survey and the use of the elevation factor to make the estimates, which are representative of the population over 40 years of age in Spain in 2011. The minimum age cutoff of 40 years enables the study of a larger population than other studies, which have included only those over 60 years of age, and the six-year follow-up is adequate for identifying mortality risk factors. Moreover, the National Statistics Institute devised the methodology used to collect information from both the National Health Survey and the mortality registry, ensuring the validity of both the methods and the data.

The study also has some limitations, mainly related to the survey itself. Data on chronic diseases were from self-report, so there may be some discrepancies compared to clinical diagnoses. However, this risk of information bias is inherent to national health surveys, which are nevertheless recognized as a common and reliable source of research. Moreover, some predictors of mortality may not have been included in the survey, and it was not possible to distinguish between subtypes within the same disease entities.

Conclusions

Chronic diseases affect more than half of the Spanish population over 40 years of age and are associated with a six-year cumulative all-cause mortality of 13.3%, compared to 4.2% in people reporting no chronic disease. Four conditions have special relevance: cancer, chronic lung diseases (COPD, chronic bronchitis or emphysema), AMI, and DM. Among these, DM and chronic lung diseases stand out both because of their high prevalence and the significantly increased risk of mortality (22.7% and 42.5%, respectively). The results of our study highlight the need for more research into the factors involved in these four major chronic diseases and possible strategies to reduce their impact on population mortality. This study also demonstrates the usefulness of combining different sources of information, such as the National Health Survey and the National Death Registry, to perform population-based health research.

What is known about the topic?

  • The results of our study highlight the impact of 4 chronic diseases on mortality in the Spanish population: cancer, chronic lung diseases, acute myocardial infarction and diabetes.

  • Our study highlights the importance of directing more studies to design strategies that reduce the impact of these chronic diseases on population mortality.

  • This study also demonstrates the usefulness of combining different sources of information, such as the National Health Survey and the National Death Registry, to perform population-based health research.

Ethical considerations

Ethics approval and consent to participate: Not applicable.

Funding

The authors did not receive support from any organization for the submitted work.

No funding was received to assist with the preparation of this manuscript.

No funding was received for conducting this study.

No funds, grants, or other support was received.

Consent for publication

Not applicable.

Conflict of interests

The authors have no relevant financial or non-financial interests to disclose.

The authors have no conflicts of interest to declare that are relevant to the content of this article.

All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.

The authors have no financial or proprietary interests in any material discussed in this article.

Availability of data and materials

The datasets analyzed during the current study are not publicly available but are available from the corresponding author on reasonable request.

Acknowledgments

We thank the National Statistics Institute for providing the study data and cross-matching them with mortality data.

Appendix A
Supplementary data

The followings are the supplementary data to this article:

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