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PLOS One logoLink to PLOS One
. 2022 Dec 6;17(12):e0274518. doi: 10.1371/journal.pone.0274518

Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries

Thamara Tapia-Muñoz 1,2,3,4,5, Ursula M Staudinger 6,7, Kasim Allel 5,8,9, Andrew Steptoe 1, Claudia Miranda-Castillo 4,10,11, José T Medina 2,3,5, Esteban Calvo 2,3,5,6,*
Editor: Zhuo Chen12
PMCID: PMC9725142  PMID: 36472996

Abstract

Backgrounds

The prevalence of loneliness increases among older adults, varies across countries, and is related to within-country socioeconomic, psychosocial, and health factors. The 2000–2019 pooled prevalence of loneliness among adults 60 years and older went from 5.2% in Northern Europe to 24% in Eastern Europe, while in the US was 56% in 2012. The relationship between country-level factors and loneliness, however, has been underexplored. Because income inequality shapes material conditions and relative social deprivation and has been related to loneliness in 11 European countries, we expected a relationship between income inequality and loneliness in the US and 16 European countries.

Methods

We used secondary cross-sectional data for 75,891 adults age 50+ from HRS (US 2014), ELSA (England, 2014), and SHARE (15 European countries, 2013). Loneliness was measured using the R-UCLA three-item scale. We employed hierarchical logistic regressions to analyse whether income inequality (GINI coefficient) was associated with loneliness prevalence.

Results

The prevalence of loneliness was 25.32% in the US (HRS), 17.55% in England (ELSA) and ranged from 5.12% to 20.15% in European countries (SHARE). Older adults living in countries with higher income inequality were more likely to report loneliness, even after adjusting for the sociodemographic composition of the countries and their Gross Domestic Products per capita (OR: 1.52; 95% CI: 1.17–1.97).

Discussion

Greater country-level income inequality was associated with higher prevalence of loneliness over and above individual-level sociodemographics. The present study is the first attempt to explore income inequality as a predictor of loneliness prevalence among older adults in the US and 16 European countries. Addressing income distribution and the underlying experience of relative deprivation might be an opportunity to improve older adults’ life expectancy and wellbeing by reducing loneliness prevalence.

1. Introduction

Scholars and policymakers worldwide have expressed growing concerns about loneliness, especially among young and older adults [1, 2]. Loneliness has been defined as a negative emotional experience produced by the discrepancy between the desired social and emotional life and the one taking place [3]. People can be socially connected and still feel lonely [4]. When loneliness is intense and frequently experienced (chronic loneliness) [5], it can have severe health consequences for older adults [4, 618]. Firstly, loneliness is associated with increased all-cause mortality, and it is a risk factor for suicide [4, 9, 13, 1517, 19]. Secondly, loneliness impacts older adults’ mental health, with lonelier people experiencing higher rates of depression and anxiety and a poorer quality of life [2025]. Thirdly, it is a risk factor for dementia and other causes of disability [26, 27].

There are cross-country differences in loneliness prevalence. The diversity of loneliness measures and varying cut-off points for the same scales have led to differences in loneliness prevalence [6, 28, 29]. However, holding measures and cut-off points constant, there are still sizable cross-country variations in the prevalence of loneliness [7, 28, 30, 31]. Yang and Victor (2011) studied loneliness prevalence in 24 European countries. Loneliness was divided into “sometimes lonely” and “frequent loneliness” (those who reported loneliness “all the time” or “most of the time”). Countries were divided into three groups based on the author’s assessment of the relationship for each country. The first group encompassed Bulgaria, Hungary, Latvia, Poland, Romania, Russia, Slovakia, and Ukraine, with loneliness ratings ranging from 18.8% in Romania to 34% in Ukraine, which had the highest prevalence of loneliness. Group two, composed of Belgium, Denmark, Finland, Germany, Ireland, Netherlands, Norway, Sweden, Switzerland, and the United Kingdom, had the lowest “frequent loneliness” prevalence among adults 60 years and older, with percentages below 10%. Finally, the third group, composed of Austria, Cyprus, Estonia, France, Portugal, Slovenia, and Spain, ranged from 10% in Cyprus to 15% in Slovenia for adults over 60 years old [28]. In a pooled analysis of studies conducted between 2000 and 2019 measuring loneliness in people 60 years and older, the lowest prevalence of loneliness was 5.2% in Northern Europe (Finland, Norway, Sweden, Denmark), and the highest prevalence was 24.2% in Eastern Europe (Belarus, Estonia, Hungary, Latvia, Moldova, Poland, Romania, Russia, Slovenia, Ukraine) [31]. Moreover, in the US Health and Retirement Study (HRS) (wave 2012), loneliness among people 60 years and older was 56.63% when using the responses “some of the time” or “often” to any of the three statements in the revised version of The University of California Los Angeles Loneliness Scale (R-UCLA scale) and 37.08% when using the responses “some of the time” or “often” to at least two out of the three items [6].

The theoretical models addressing cross-country differences in loneliness have pointed out that loneliness is a complex phenomenon with genetic, social, and environmental contributors [3234]. Individual-level factors related to loneliness have been more frequently considered in interventions addressing loneliness [2]; however, these interventions are not entirely effective [35]. Targeting structural elements might be needed to overcome the unequal social conditions of older adults with, among other consequences, a reduction in individual loneliness [36]. Differences in population-level sociodemographic composition across countries seems to play an important role in explaining cross-country differences in loneliness. Marital status, age, educational level and health status are individual-level factors that may contribute to cross-country differences in loneliness [1, 37], but little is known about the relationship between country-level aggregate factors and loneliness. A few published studies have focused on cultural factors to explain cross-country variations in loneliness, noting factors such as presence of multigenerational households and connections [30, 38]. The Fokkema, De Jong Gierveld & Dykstra [34] model has highlighted the importance of interactions between individual and societal factors like older adults’ living conditions. Lately, a relationship between neighbourhood social deprivation and loneliness has been observed in the UK, in which more socially deprived areas reported higher levels of individual and area-based loneliness [39].

The plan for the Decade of Healthy Ageing (2020–2030) established an action item to identify and tackle loneliness through a community-based approach that offers older adults equal opportunities for leisure and social activities [40, 41]. The plan is linked to the Sustainable Developed Goals for the decade, which call for a united front to overcome inequality and ensure healthy ageing for all older people regardless of residency, gender, ethnicity, level of education, civil status, and health condition [42]. The Marmot reports on health inequalities have shown that income inequality within a country produces differences in material conditions and increases relative deprivation. Relative deprivation is the psychological effect of income inequality on people [43, 44]. The social gradients determine access to education, jobs, proper incomes, wealth, and, at the same time, increase insecurity, anxiety, social isolation, among other mental health outcomes. More unequal countries have a higher social gradient; therefore, factors which represent social position such as gender, race and ethnicity, education, and occupation, are more impactful [4345]. Recently, using data from eleven countries that were part of the fifth and sixth waves of the Survey of Health, Ageing and Retirement in Europe (SHARE) (Austria, Belgium, Czech Republic, Denmark, Estonia, France, Germany, Italy, Slovenia, Spain and Sweden), a study reported a relationship between country inequality (GINI Index) and loneliness [46]. Further evidence of the relationship between income inequality and the prevalence of loneliness among the older population can provide information about the extent of country-level factors’ contributions to cross-country differences in loneliness and their potential roles in the success of loneliness interventions [1, 47]. Hence, the current study aimed to explore the relationship between country-level income inequality and the prevalence of loneliness in the USA and 16 European countries.

2. Materials and methods

2.1 Study design

This is a cross-sectional observational study of secondary 2013 and 2014 data from nationally representative surveys of older adults.

2.2 Study population and analytic sample

We drew data for 75,891 older adults aged 50 and older from the United States and 16 European countries from three well-characterized cohorts: the Health and Retirement Study (HRS; United States) wave 12 collected in 2014 [48], the English Longitudinal Study of Aging (ELSA; England) wave seven collected between 2014 and 2015 [49], and The Survey of Health, Ageing and Retirement in Europe (SHARE: Austria, Belgium, Czech Republic, Denmark, Estonia, France, Germany, Israel, Italy, Luxemburg, Netherlands, Slovenia, Spain, Sweden, and Switzerland) corresponding to wave five measured in 2013 [50]. The data harmonization process has been described in detail elsewhere [5153].

The eligibility criteria were defined by the following. First, from the total populations represented by the surveys, participants were considered eligible when they met the criteria to enter the wave, were reported alive and responded to the survey. Second, we dropped participants who were partners of main respondents and younger than 50 years. The three survey’s methodological protocols consider complete cases when there is information for two out of the three questions of the R-UCLA. Accordantly, we dropped participants from the study when the three R-UCLA items were missing (see Fig 1). The study’s analytic sample was built using information from the three-item R-UCLA loneliness scale and the complete cases for all the covariates (S1 Table). The missing values among the independent variables were around 1%, therefore the data was not imputed (S2 Table). Moreover, we employed robustness checks to avoid potential biases (S3 Table).

Fig 1. Participants flow chart.

Fig 1

ELSA waves were reviewed and approved by the National Research Ethics Service (London Multicentre Research Ethics Committee). From the wave 4, SHARE was reviewed and approved by the Ethics Council of the Max Planck Society. Finally, the University of Michigan Institutional Review Board reviewed and approved HRS waves. All participants gave informed consent.

2.3 Variables

Our main outcome was loneliness prevalence, measured using three out of the 20 items detailed in the R-UCLA loneliness scale. The items asked how often the person feels “left out,” “isolated from others,” and “lacking companionship” [54]. For each item, the scale of the responses was 1 = hardly ever or never, 2 = sometimes and 3 = often. For each participant, we calculated a sum score for the intensity of loneliness, ranging from 3 to 9. Among older adults, the original intensity scale had a unidimensional structure, high reliability, an alpha Cronbach of 0.89, and a test-retest coefficient of 0.73 [54]. For the present study, the average alpha Cronbach was 0.77 (HRS = 0.81, ELSA = 0.83, and SHARE = 0.75; S4 Table).

To measure the prevalence of loneliness we followed the 6-point cut-off previously established by Steptoe et al. [16].

2.4 Country variables

Our primary exposure was country-level income inequality, measured with the 2013 or 2014 GINI index reported by the World Bank [55]. The theoretical values of the GINI range between 0 and 100, with higher numbers indicating higher inequality.

Considering the relationship between economic growth and income inequality, we used the 2013 or 2014 gross domestic product per capita adjusted by power purchase parity (GDP-PPP) as an independent variable [56]. We used a random country effect to adjust our estimates for unobserved country characteristics (the United States was the reference country). To facilitate interpretation, GDP and GINI were standardized.

2.5 Individual-level variables

Based on the model defined by Fokkema, De Jong Gierveld & Dykstra [33], we considered the following individual level factors for the prevalence of loneliness: participant age in years at baseline as a continuous variable and gender as participant self-classification of sex, coded as woman or man. Due to the small number of participants above 90 years (n = 600), all people over the age of 90 were recoded as 90 years. We also adjusted the statistical models for marital status (legally married or de facto partnered, separated or divorced, widowed, or single never married) and level of education (higher education versus no higher education). Work status measured paid work (full- or part-time, salaried, or self-employed, combined or with partial retirement) as opposed to not working for pay (complete retirement, disabled, unemployed, or out of the labour force). Moreover, we considered health factors. Self-reported health was obtained from the self-rate item about the state of health. The responses range from 1 = Poor to 5 = Excellent. Functional limitations were assessed using the three items (bathe, dress, and eat) defined in the Wallace and Herzog measure Activities of daily living (ADLs). Pain was obtained from the dichotomic item for being troubled with pain often (yes/no) and depressive mood comes from the statement "I have felt depressed" of the CED-S and EURO-D questionnaires and was used as a proxy for depression given the differences between surveys.

2.6 Statistical analysis

First, we performed descriptive analyses to characterise participants and countries. Next, we ran hierarchical logistic models to estimate the relationship between country economic inequality and the prevalence of loneliness within individuals nested within countries. Using logistic regression models, we examined the unadjusted relationship between the individual-level covariates and the prevalence of loneliness (Table B in S1 File). A random slope in age was used in the hierarchical models due to cross-country variations in the unadjusted relationship between age and loneliness (Fig A in S1 File).

We computed four sequential models to analyse the relationship between country-level economic inequality and individual-level loneliness. Model 1 included a fixed and random intercept only, allowing for an estimation of Intra-Class Correlation (ICC). Model 2 included the GINI index, allowing for an unadjusted estimation of its relationship with loneliness. Model 3 added individual-level control variables to model 2. Finally, model 4 added GDP per capita as a country-level control variable to model 3. Considering the total variance explained by the Akaike information criterion (AIC) and the Bayesian information criterion (BIC), Model 3 was the best solution for loneliness prevalence (see results section, Table 2). Considering that less than 30 clusters might affect the estimation of random effect errors [57], we also performed a regression model using bootstrap error with 100 iterations. The model yielded the same results, which can be found in the supplementary materials, section 4, S3 Table.

Table 2. Country-level descriptive statistics (n = 17).

Survey Country (N) Loneliness GINI GDP (US $)
    n (%) Mean (Sd) Mean (Sd)
  Group 10,004 (13.18) 32.37(4.32) 42,608.92 (11529.04) IQR = 15,318
IQR = 6.6
HRS US 1,752 (25.32) 41 55,033
ELSA England 1,367 (17.55) 33.2 40,868
SHARE Spain 573 (9.63) 36.2 32,604
  Germany 480 (8.90) 31.1 45,232
  Estonia 842 (15.64) 35.1 27,496
  Belgium 707 (13.45) 27.7 43,611
  Czech Republic 925 (17.81) 26.5 30,486
  Italy 931 (20.15) 34.9 36,131
  Sweden 263 (6.08) 28.8 45,722
  France 479 (11.34) 32.5 39,524
  Austria 260 (6.53) 30.8 47,922
  Netherlands 289 (7.46) 28.1 49,242
  Denmark 199 (5.12) 28.5 46,727
  Switzerland 1875 (6.06) 32.5 60,109
  Slovenia 248 (8.84) 26.2 29,797
  Israel 380 (18.00) 39.8 34,179
  Luxemburg 178 (11.81) 32 95,591

The final equation to predict the prevalence of loneliness is formalised in the following equation:

Log(Yij)=β00+β1*Ageij+β2*Genderij+β3*MaritalStatusij+β4*EducationalAttainmentij+β5*Workstatusij+β6*Functionallimitationsij+β7*DepressiveMoodij+β8*SelfreportedHealthij+β9*Painprevalenceij+β10*GINIj+b0j*+b1j**Grandmeancenteredageij+εij Eq (1)

Where log(Yi,j) is the expected prevalence of loneliness; β00 is the odds of loneliness in an average country; xij: are individual-level predictors of loneliness in the country j; wj is the country-level variable (GINI Index), b0j* is the country-specific deviations around the OR for the prevalence of loneliness; b1j* is the random slope in age; and εi,j is the error term of the observed Logit (Yi,j). All analyses were performed in Stata version 16.0 [58], using the command “xtmelogit” and a 95% confidence level.

3. Results

3.1 Descriptive results

Out of all participants, 56% were female and the mean age was 67 years (SD = 9.76). Other characteristics are described in Table 1.

Table 1. Participants sociodemographic and health characteristics (N = 75,891).

Mean (SD)
Age (years) 66.63 (9.76)
Self-Reported Health (total score) 2.93 (1.08)
Frequency (%)
Gender
Men 33,632 (44.32)
Women 42,259 (55.68)
Marital Status
Married or partnered 56,261 (74.13)
Divorced or separated 6,366 (8.39)
Widowed 9,914 (13.06)
Single never married 3,350 (4.41)
Educational Attainment
Less than college 58,689 (77,43)
College and above 17,202 (22.67)
Work status
No Worker 53,916 (71.04)
Worker 21,975 (28.96)
Functional limitations
No limitation 68,280 (89,97)
Low limitation 4,711 (6.21)
Moderate limitation 2,123 (2.80)
Severe limitation 777 (1.02)
Depressive Mood
No 50,465 (66.50)
Yes 25,426 (33.50)
Pain Presence
No 44,246 (58,30)
Yes 31,645 (41.70)

Table 2 shows descriptive statistics for loneliness, GINI (group mean = 32.37; SD = 4.32; IQR = 6.6) and GDP-PPP per capita (group mean = 42,609; SD = 11,529; IQR = 15,318). There was substantial variation in the prevalence of loneliness between countries. The prevalence was 25.64% in the US (HRS), 17.60% in England (ELSA) and 5.22% to 20.15% in SHARE countries.

3.2 Hierarchical regression models (HLM) results in the prevalence of loneliness

HLM results are reported in Table 3. The unadjusted relationship between individual-level variables and loneliness prevalence was statistically significant (Table B in S1 File). As indicated by the Intra-Class Correlation (ICC), the variability between countries accounted for 7.9% of the total variation in the likelihood of an individual being lonely. In an average country, the odds of being lonely, defined as scoring more than 6 points in the three items of R-UCLA, was 0.13. However, there was statistically significant variability in the odds of loneliness between countries (Between country variance = 0.283; 95% IC: 0.144–0.559).

Table 3. Hierarchical logistic model for the prevalence of loneliness (n = 75,891).

Model 1 Model 2 Model 3 Model 4
OR 95% CI OR 95% CI OR 95% CI OR 95% CI
Fixed Effects
Constant 0.13** 0.1 0.16 0.10** 0.08 0.13 0.24** 0.17 0.33 0.23** 0.161 0.321
Individual- level factors
Age 0.99** 0.99 0.99 0.99** 0.987 0.993
Gendera 0.97 0.92 1.02 1.04 0.985 1.088
Separated or divorcedb 2.35** 2.19 2.53 2.35** 2.188 2.529
Widowedb 2.32** 2.17 2.48 2.32** 2.174 2.476
Single or never marriedb 2.80** 2.54 3.07 2.80** 2.544 3.072
High Educationc 0.96 0.90 1.02 0.96 0.897 1.017
Workingd 0.70** 0.65 0.75 0.70 0.649 0.748
Low FLe, h 1.45** 1.34 1.57 1.45 1.339 1.566
Moderate FLe, h 1.64** 1.47 1.82 1.64 1.474 1.822
Hight FLe, h 2.24** 1.90 2.64 2.24 1.903 2.64
Depressive Moodf 3.40** 3.22 3.58 3.40 3.221 3.583
Paing 1.18** 1.12 1.24 1.18 1.118 1.239
SPHi 0.71** 0.69 0.73 0.71 0.689 0.728
Country-level factors
GINI 1.39** 1.10 1.75 1.52** 1.17 1.97 1.52 1.17 1.97
GDP 1.04 0.86 1.26
Random Effects
var(age) 0.001 0.001 0.003 0.000 0.000 0.001 0.000 0.000 0.001
var(cons) 0.283 0.144 0.559 0.222 0.11 0.447 0.284 0.142 0.566 0.282 0.141 0.561
ICC 0.079
M&Z r2 0.029 0.243 0.242
AIC 56897.83 56596.83 49114.3 49116.16
Chi2 2275.82 1730.43 2011.93 2003.58
p-value <0.001 <0.001 <0.001 <0.001

Notes. Ref categories. aMen. bMarried or partnered.

cCollege and above.

dNo Worker.

eNo limitation.

fNo depressive mood.

gPain

hFL stands for Functional limitation.

ISelf perceived health.

* p<0.05

** p<0.01

***p<0.001. Countries observations were from 1,512 to 7,932 (mean = 4,495.5)

Older adults living in more economically unequal countries were more likely to report loneliness (ORModel2 = 1.39; 95% CI: 1.10–1.75). The relationship between country-level economic inequality and loneliness was independent of individual-level compositional factors and country-standardised GDP (Model 4). GDP did not have a statistically significant relationship with loneliness and did not improve the model fit or explained variance; therefore, Model 3 was the best solution for explaining the prevalence of loneliness.

Model 3 explained 24% of the variation of loneliness (M&Z R2 = 0.243). A unit-increment increase in average economic inequality increased the odds of loneliness by 53% (OR: 1.52; 95% CI: 1.17–1.97). Work status, higher age, and self-reported health decreased the probability of loneliness among the older adults.

Marital status was related to the probability of loneliness. Divorced, widowed or single older adults had 2.35 (95% CI: 2.19–2.53), 2.32 (95% CI: 2.17–2.48) and 2.80 (95% CI: 2.54–3.07) times the odds of experiencing loneliness, respectively, compared to those who had a partner or spouse. Higher functional limitations increased the odds of loneliness. Older adults with low, moderate, or severe functional limitations had 1.45 (95% CI: 1.34–1.57), 1.64 (95% CI: 1.47–1.82), and 2.24 (95% CI: 1.90–2.64) times the odds of experience loneliness, respectively, compared to those with no functional limitations. Depressive mood was a strong predictor of loneliness. People who declared having depressive mood had 3.40 (95% CI: 3.22–3.58) times the odds of loneliness compared to those who did not. Finally, those who reported pain had 1.18 (95% CI: 1.12–1.24) times the odds of loneliness compared to those who did not.

The robustness check confirmed the model results (S3 Table). Fig 2 depicts the positive relationship between the average predicted prevalence of loneliness and country inequality based on model 3.

Fig 2. Country predicted probabilities for loneliness and inequality level.

Fig 2

Note: Probability of loneliness based on model 4.

4. Discussion

The present study explored the relationship between country-level income inequality and the prevalence of loneliness in the USA and 16 European countries. Economic inequality within countries was positively associated with loneliness. These results remained consistent after adjusting for sociodemographic characteristics, health status and gross domestic product per capita (GDP).

To our knowledge, this is the first study analysing the relationship between income inequality and loneliness prevalence in the US and 16 European Countries.

4.1 Country economic inequality and loneliness

At a country level, the GINI coefficient was positively associated with the prevalence of loneliness. De Jong Gierveld & Tesch-Romer [33] developed an integrative theoretical model that explained loneliness as a result of the combination of individual-level factors and country-level or structural factors [33]. Country-level factor associations with loneliness have previously been explored, primarily comparing individualistic and collectivist societies [59] and Western and Eastern cultural differences in Europe [60]. Reassuringly, in a recently-published analysis of the country-level factors associated with loneliness in eleven countries in Europe, a relationship between economic inequality and loneliness was found [46]. Potential explanations for the relationship between inequality and loneliness included a direct pathway related to socioeconomic resources and quality of living conditions and an indirect pathway that considers low social integration, lack of community trust, and a high perception of relative deprivation [60].

The Marmot reports on health inequalities written for the World Health Organization have shown that country-level inequality produces differences in the material conditions within countries and increases relative deprivation, affecting people psychologically [44, 45, 61, 62]. More unequal countries have a steeper social gradient, which means that the social determinants of health have a greater impact [44, 6165]. Country-level economic inequality directly impacts education, work, income, access to health, and social connections and increases the proportion of people living in poverty [66]. Poor living conditions push more vulnerable people into greater risk of loneliness because of their limited integration into social activities and a lack of social and community support [62]. The Plan of Action for a Decade of Healthy Ageing [41] and the sustainable development goals [42] have set reducing economic inequality within and among countries as one of their priorities. Among other actions, they call for the involvement of all sectors in reducing inequality and for countries to approve social protection policies and improve their regulations of the global financial market and institutions. Previously, it has been highlighted that regardless of a country’s economic system, policies and plans should be in place to protect those at bottom of the economic gradient [45].

Individual-level interventions have shown effectiveness in addressing loneliness [67]. However, based on the multilevel composition of loneliness, structural interventions seem to be necessary. National programs targeting people at greater risk of social isolation and loneliness might help overcome inequalities in the distribution of loneliness. Several countries have already implemented programmes addressing social isolation and loneliness in older adults. For instance, European countries have used primary care and other organizations to connect older adults with one another (e.g. Befriending Networks in Ireland, MONALISA in France, the Campaign to End Loneliness in the UK [68, 69]. The United Kingdom has declared social isolation and loneliness as a serious public health problem and has established structural approaches to address them. A series of measures to tackle social isolation and loneliness have been implemented in the last decade, including the creation of a “social prescription” program recently launched by the new Ministry of Loneliness that consist in personalized plans and trains workers to link people with social integration. In the case of the US, although there is no clear national strategy and more efforts might be found through state-based approaches, there are important initiatives like the National Resource Center for Engaging Older Adults [69].

Finally, while the relationship between income inequality and loneliness remained after taking GDP into account, the results of this study challenge the relationship between GDP and loneliness. A possible explanation can be the low variability in the gross domestic product in the analytic sample. Both, Layte [63] and Tapia-Granados [66] concluded that among high-income countries, it is income inequality and relative poverty, rather than GDP, which impact health outcomes.

4.2 Individual factors and loneliness

At the individual level, independent of country-level factors, marital status has a strong positive association with loneliness. People in partnerships have previously reported lower levels of loneliness [15, 21, 23, 70, 71]. Partnerships are strongly related to emotional attachment and social interaction, reducing the levels of emotional and social loneliness [72]. However, changes in marital status and relationships satisfaction also need to be taken into account [71]. Several studies have reported that unsatisfactory or poor-quality relationships are associated with higher loneliness levels among people in partnerships [3, 73, 74].

The current study results also showed that older adults who do not have paid employment were at a higher risk of experiencing loneliness. There is a need for further exploration of the relationship between work status and loneliness. However, most of the older adults in this study were retired or not seeking work. Previous studies have found that retirement neither increases loneliness nor affects health status if older adults have good social connections and support, and plan post-retirement activities [75, 76]. The relationship between work status and loneliness can be linked to a scarcity of economic resources, a reduction in social contacts, and a lack of purpose in life [77].

Health status and self-reported health were strongly related to loneliness. Functional limitations, depressive mood, and the presence of pain have been previously reported as factors associated with increased loneliness among older adults [4, 6, 34, 37, 70, 71, 78]. Accordingly, special attention should be paid to the emotional and social support of those living with severe functional limitations, feeling depressed, or experiencing pain.

Depression has sometimes been studied as a risk factor for loneliness [21]. At the same time, depressed people often feel lonelier [79]. We used depressive mood as a proxy for depression in order to separate depressive symptoms from loneliness experience and avoid multicollinearity. In line with previous evidence, we found an independent relationship between depressive mood and loneliness prevalence. Finally, self-reported health has been previously related to several health outcomes, including loneliness [76, 80], and the present study showed that good self-reported health is associated with a lower prevalence of loneliness.

Contrary to much previous evidence, gender was not significantly associated with loneliness prevalence in this analysis. Previous studies have not accounted for country-level factors. Therefore, the relationship between gender and loneliness may be an expression of older adults’ living conditions.

4.3 Limitations and future research

The results of the present study should be interpreted in the light of some limitations. First, the cross-sectional associations do not imply causality. Second, unmeasured individual- and country-level factors may bias our results. Though me measured marital status and work status, future research should consider a specific measure for social isolation and non-pension wealth. Third, although missing data in our study was low (<10%), they were not missing completely at random, which may result in selection bias. We performed a bootstrap analysis to address potential bias of our point estimates due to missing information and the precision of our standard errors given the number of clusters in the study. Fourth, measurement bias could be present given the use of self-reported questionnaires. Even using an indirect measure of loneliness, the stigma of declaring oneself as “lonely” could have biased participant responses. According to de Jong Gierveld [81], this type of stigma affects men more than women. Future studies should include longitudinal data and different geographical units, and should consider adjusting the estimates for psychological variables (e.g., personality traits, self-esteem, and coping mechanisms), social variables (e.g., social isolation, quality of social connections and relationships and the number of people living at home), and economic variables (e.g., income and wealth measured at the individual and household-level, as well as relative poverty). Harmonizing these variables across countries, however, is not a trivial task and can lead to substantial amounts of missing data and numerous comparability issues.

The current results are important because they provide the impetus to explore the role of country-level income inequality in the prevalence of loneliness further. Addressing the existing gap in wealth distribution may provide an opportunity to improve older adults’ wellbeing and life expectancy by reducing loneliness prevalence.

Supporting information

S1 File. Predictive models for the prevalence of loneliness.

(DOCX)

S1 Table. Analytic sample description.

(DOCX)

S2 Table. Missing data.

(DOCX)

S3 Table. Observed Bootstrap Normal for model D (N = 75,891).

(DOCX)

S4 Table. Reliability analysis of the three items from the R-UCLA scale.

(DOCX)

Data Availability

The data underlying the results presented in the study are available from: https://hrs.isr.umich.edu/ http://www.share-project.org/ https://www.elsa-project.ac.uk/.

Funding Statement

(EC) Research and Development National Agency– FONDECYT REGULAR-1140107 and Research and Development National Agency–Millennium Science Initiative Program - Millennium Nucleus on Sociomedicine - NCS2021_013 https://www.anid.cl/ https://www.iniciativamilenio.cl/en/home_en/ (TT) Scholarship from the Chilean Ministry of Education and Research and Development National Agency https://www.anid.cl/ (CM) Research and Development National Agency - Millennium Science Initiative Program – ICS2019_024 and ICS13_005 and ANID-FONDECYT-1191726. https://www.anid.cl/ https://www.iniciativamilenio.cl/en/home_en/ The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Zhuo Chen

23 May 2022

PONE-D-22-10438Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countriesPLOS ONE

Dear Dr. Calvo,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process. Please address the comments provided by the reviewers and myself. 

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Additional Editor Comments:

This paper addressed an important topic. However, the reviewers did point out limitations that are critical and should be addressed. I agree with reviewer 2 that the variation of income inequality within a bit more than a dozen countries could be limited. The authors also did not provide a clear description of the causal pathways of the income inequality to loneliness. The level of geographic unit could be relevant as well -- and is relevant to the policy implications. A panel (or longitudinal) analysis may provide more support -- culture and geography could be relevant in the reporting of loneliness.

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Reviewer #1: Yes

Reviewer #2: No

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Reviewer #1: Yes

Reviewer #2: I Don't Know

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #2: No

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Reviewer #1: Thank you for writing this interesting piece. overall this is good research but there are some areas of clarification that are needed.

PLease review the abstract as it seems that there are key findings from manuscript that should be in manuscript. These comments i make by line # below. Mainly the conclusion takks about addressing income distribution which is a population level solution and not an individual solutions so this is a big "ask" and not quite actionable for decades. So this makes it harder to know what to do with this data.

Detailed comments and questions:

line 35: over what time period the 4.2% to 34%?

36: this is an interesting part of the intro. It seems that you are assuming that social deprivation is a predictor of loneliness without showing the evidence for that. The relationship to isolation is easier to understand than that for loneliness.

50: Person characteristics--wonder if better to say individual sociodemographics?

58: is it really true there is no consesus? The 2 references are from the same author. so it seems more like one authors view rather than there being no consensus. and is it that there is no consensus or is it because of our differences in measurement and definitions?

64: same comment as above. are the cross-country differences also measurement issues?

67: please explain why and how those 3 groups were chosen?

74: non-europeans may need an explanation as to what countries are in northern europe.

87: "little is now about country-level aggreggate factors and loneliness" this is what is missing from abstract

94: this point "welfare stayes..." is better stated than in abstract. consider revising abstract.

96: please state what "marmot studies are?

103-104: this sentence is not clear. consider revising.

105: life expectancy decreased in all groups or by income race/ethnicity. As you likely know in the US there is a strong correlation between income and ethnicity...

108-9: This point still needs needs more clarification as it seems more related to isolation and less to loneliness. OR does it contribute more to one aspect of loneliness. i.e. the structural factors of loneliness (otherwise I dont see how this income inequality contributes to the emotional or functional aspects of loneliness).

167: please explain why recording all to over 90. There is quite a bit of heterogeneity w aging and the oldest old are an important category so please justify this.

167: marital status: are there questions on relationships status (or just marriage?). As this is limiting and at times preferences heterosexuals or those that can legally marry.

170: how were functional measures defined or measured?

216: the individual factors contributing to 91% of total variation is important and also something missing from abstract, or what makes the abstract hard to grasp.

230: dont think its clear how or why the different models were developed. please explain or maybe a summary table?

234: not clear if by work status you mean "answering yes, to working"

268: might highlight not just mental health, but loneliness specifically.

270: typo. "inti" please also provide a theoretical frameowkr as more activity doesnt always equate to less loneliness.

279: nice example of the national resource center. But not sure this is widely used in US. Instead, I might suggest that though there are resources in the US there isnt actually a national strategy.

281-283: sorry for redundancy, but it still feels like you need to go more indepth for a theoretical framework, as the link to isolation is easier to make than loneliness. and how could one actually tackle the dispersion of income distribution? In the US, it would involve dismantling capitalism, and core american individualistic principles. I realize this is an extreme view, and thus, there needs to be a more nuances discussion of what the findings of this paper actually suggest.

300: I wonder if the work status and loneliness is centered on "life purpose" as a mediator.

311: not sure it is correct to define loneliness as a symptom of depression. ie. it isnt part of our standard screenings questions (i.e. phq-9). may be more accurate to stay that loneliness may be an experience that people w depression have. and remember that most lonely people are not depressed.

336-339> im left wondering what now, and HOW do we address the gap in wealth distribution? The conclusion needs to be strengthened.

Reviewer #2: This is a referee report on the paper “Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries”. The authors tried to show a significant association of the country-level index of inequality represented by GINI on individual-level loneliness by using a multilevel logistic regression model. However, it is uncertain whether those analyses support their conclusion.

Please, kindly find the attached file to improve the manuscript.

**********

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Reviewer #2: Yes: Yugo Shobugawa

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PLoS One. 2022 Dec 6;17(12):e0274518. doi: 10.1371/journal.pone.0274518.r002

Author response to Decision Letter 0


29 Jul 2022

LETTER OF RESPONSE ID PONE-D-22-10438:

“Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries”

Dear Zhuo Chen, Ph.D.

Academic Editor, Plos One

We would like to thank you and the reviewers for your thorough and constructive comments on our paper and for the opportunity to revise and resubmit to Plos One. We have considered and worked through these comments with great attention and dedication, bearing in mind the word limit for our article category and the use of new articles that have recently been published in the literature. We uploaded the revised manuscript and supplementary material with and without track changes. We believe our paper is now considerably stronger based on this work. We outline a point-by-point explanation to the provided comments below.

JOURNAL REQUIREMENTS AND EDITOR COMMENTS

1. Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming.

RESPONSE: We carefully followed the style requirements using the style templates.

2. Please provide additional details regarding participant consent. In the ethics statement in the Methods and online submission information, please ensure that you have specified (1) whether consent was informed and (2) what type you obtained (for instance, written or verbal, and if verbal, how it was documented and witnessed). If your study included minors, state whether you obtained consent from parents or guardians. If the need for consent was waived by the ethics committee, please include this information. If you are reporting a retrospective study of medical records or archived samples, please ensure that you have discussed whether all data were fully anonymized before you accessed them and/or whether the IRB or ethics committee waived the requirement for informed consent. If patients provided informed written consent to have data from their medical records used in research, please include this information.

RESPONSE: Done. See details in the methods section lines 156 to 160.

3. In your Data Availability statement, you have not specified where the minimal data set underlying the results described in your manuscript can be found. PLOS defines a study's minimal data set as the underlying data used to reach the conclusions drawn in the manuscript and any additional data required to replicate the reported study findings in their entirety. All PLOS journals require that the minimal data set be made fully available. For more information about our data policy, please see http://journals.plos.org/plosone/s/data-availability.

"Upon re-submitting your revised manuscript, please upload your study’s minimal underlying data set as either Supporting Information files or to a stable, public repository and include the relevant URLs, DOIs, or accession numbers within your revised cover letter. For a list of acceptable repositories, please see http://journals.plos.org/plosone/s/data-availability#loc-recommended-repositories. Any potentially identifying patient information must be fully anonymized.

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We will update your Data Availability statement to reflect the information you provide in your cover letter.

RESPONSE: At the moment of publication, the fully anonymized minimal dataset will be available at the following link: https://github.com/ThammyTapia/loneliness.crosscountry.

Additional Editor Comments: This paper addressed an important topic. However, the reviewers did point out limitations that are critical and should be addressed. I agree with reviewer 2 that the variation of income inequality within a bit more than a dozen countries could be limited. The authors also did not provide a clear description of the causal pathways of the income inequality to loneliness. The level of geographic unit could be relevant as well -- and is relevant to the policy implications. A panel (or longitudinal) analysis may provide more support -- culture and geography could be relevant in the reporting of loneliness.

RESPONSE: Secondary analyses of available datasets often name the number of countries (clusters) available as a limitation. We now explicitly acknowledge and address this limitation (see lines 388 to 390 in the limitations section and lines 218 to 220 in the statistical analysis section). Following evidence that the number of clusters and sample sizes for multilevel analyses affected only the standard errors but not the point estimates, we added a bootstrap analysis. To address this limitation, we repeated our final model (model 3) using a hierarchical logistic regression using bootstrap errors with 100 iterations. The results were highly consistent after obtaining more precise standard errors for the first and second levels of analysis. We added this explanation to the methods section lines 271 and the results to the supplementary material section 4. As an additional sensitivity analysis, we conducted logistic regressions ignoring the cluster structure of the data but including countries as a dummy variable in the model. As seen in the output below, the model: (1) overestimated the relationship between country inequality and the prevalence of loneliness, and (2) dropped a country because of the collinearity. In preparing this response we considered the following references:

• Bryan, M. L., & Jenkins, S. P. (2013). Regression analysis of country effects using multilevel data: A cautionary tale.

• Peter C. Austin & George Leckie (2018) The effect of number of clusters and cluster size on statistical power and Type I error rates when testing random effects variance components in multilevel linear and logistic regression models, Journal of Statistical Computation and Simulation, 88:16, 31513163,

DOI: 10.1080/00949655.2018.1504945

We also substantially revised the introduction and discussion sections to provide a clearer description of the causal pathways linking income inequality and loneliness, bearing in mind the conceptual differences between social isolation and mental health.

Finally, we highlighted that the availability of longitudinal data at different levels of geographic unit may be a relevant aspect to explore in future research.

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

RESPONSE: Done.

COMMENTS BY REVIEWER 1

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions.

Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

RESPONSE: We thank the reviewer for these positive assessments.

5. Review Comments to the Author

Thank you for writing this interesting piece. overall this is good research but there are some areas of clarification that are needed.

PLease review the abstract as it seems that there are key findings from manuscript that should be in manuscript. These comments i make by line # below. Mainly the conclusion takks about addressing income distribution which is a population level solution and not an individual solutions so this is a big "ask" and not quite actionable for decades. So this makes it harder to know what to do with this data.

RESPONSE: We thank the reviewer for pointing out several avenues to improve our paper. We worked through these and other comments throughout the manuscript and provided more detailed answers to each comment below.

line 35: over what time period the 4.2% to 34%?

RESPONSE: We appreciate the reviewer’s comment and clarified this information by including updated numbers from a metanalysis that reviewed pooled data between 2000 and 2019. See abstract lines 34 and introduction section lines 81. In discussing these findings, we considered the following evidence:

• Surkalim, D. L., Luo, M., Eres, R., Gebel, K., van Buskirk, J., Bauman, A., & Ding, D. (2022). The prevalence of loneliness across 113 countries: systematic review and meta-analysis. BMJ (Clinical research ed.), 376, e067068. https://doi.org/10.1136/bmj-2021-067068

36: this is an interesting part of the intro. It seems that you are assuming that social deprivation is a predictor of loneliness without showing the evidence for that. The relationship to isolation is easier to understand than that for loneliness.

RESPONSE: We appreciate this insightful comment and have rewritten part of the introduction section accordingly. The integrative theoretical model of loneliness developed by Fokkema, T., De Jong Gierveld, J., & Dykstra, P. A. (2012) postulates that loneliness is a multicomponent and multilevel phenomenon resulting from the interaction between individual- and macro-level factors. Reassuringly, interventions at the individual-level failed to explain the cross-country differences in loneliness, and interventions that targeted only individual-level aspects have not been entirely effective.

Health inequalities have been described previously for several health outcomes including loneliness. Health inequality seems to have a direct and indirect relationship with loneliness. The indirect path works by reducing social integration due to a decrease in community trust and an increase in relative deprivation. Social deprivation has been previously linked to loneliness, assuming a health inequality framework. Victor (2020), using data from ELSA and the English Deprivation Index, has reported evidence of the relationship between social deprivation and loneliness in older adults in the UK.

Importantly, social isolation is related to loneliness. While social isolation is the objective measure for a lack of social connectedness or interaction, loneliness is a subjective experience. Social isolation is a risk for loneliness. Even though not all people who experience loneliness are socially isolated, socially isolated people experience higher levels of loneliness. Therefore, initiatives targeting social isolation also have an impact on loneliness.

We considered the following evidence:

• Aartsen, M., Morgan, D., Dahlberg, L., Waldegrave, C., Mikulionienė, S., Rapolienė, G., & Lamura, G. (2020). Exclusion From Social Relations and Loneliness: Individual and Country-Level Changes. Innovation in Aging, 4(Suppl 1), 712–713. https://doi.org/10.1093/geroni/igaa057.2509

• Allen, J., Balfour, R., Bell, R., & Marmot, M. (2014). Social determinants of mental health. International review of psychiatry, 26(4), 392-407.

• de Jong Gierveld, J., & Tesch-Römer, C. (2012). Loneliness in old age in Eastern and Western European societies: theoretical perspectives. European journal of ageing, 9(4), 285–295. https://doi.org/10.1007/s10433-012-0248-2

• de Jong Gierveld, J., Tilburg, T., & Dykstra, P. (2018). New Ways of Theorizing and Conducting Research in the Field of Loneliness and Social Isolation. In A. Vangelisti & D. Perlman (Eds.), The Cambridge Handbook of Personal Relationships (Cambridge Handbooks in Psychology, pp. 391-404). Cambridge: Cambridge University Press. Doi:10.1017/9781316417867.031

• Desa U: Transforming our world: The 2030 agenda for sustainable development. 2016.

• Dykstra P. A. (2009). Older adult loneliness: myths and realities. European journal of ageing, 6(2), 91–100. https://doi.org/10.1007/s10433-009-0110-3

• Fokkema, T., De Jong Gierveld, J., & Dykstra, P. A. (2012). Cross-national differences in older adult loneliness. The Journal of psychology, 146(1-2), 201-228.

• Morgan, D. et al. (2021). Revisiting Loneliness: Individual and Country-Level Changes. In: Walsh, K., Scharf, T., Van Regenmortel, S., Wanka, A. (eds) Social Exclusion in Later Life. International Perspectives on Aging, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-030-51406-8_8

• Marmot, M. (2020). Society and the slow burn of inequality. The lancet, 395(10234), 1413-1414.

• Marmot, M. (2020). Health equity in England: the Marmot review 10 years on. Bmj, 368.

• World Health Organization. (2020). Decade of healthy ageing: baseline report.

• World Health Organization. (2020). Decade of healthy ageing: Plan of action. Proceedings of the 73rd World Health Assembly, Geneva, Switzerland, 17-21.

• Victor, C.R. and Pikhartova, J. (2020) ‘Lonely places or lonely people? Investigating the relationship between loneliness and place of residence’, BMC Public Health, 20, 778, pp. 1-12. Doi: 10.1186/s12889-020-08703-8.

50: Person characteristics—wonder if better to say individual sociodemographics?

RESPONSE: We replaced “person characteristics” with “individual sociodemographics”.

58: is it really true there is no consensus? The 2 references are from the same author. So it seems more like one authors view rather than there being no consensus. And is it that there is no consensus or is it because of our differences in measurement and definitions?.

RESPONSE: We agree with this comment, deleted the controversial text, and added a brief review on definitions of loneliness in lines 58 to 60.

64: same comment as above. Are the cross-country differences also measurement issues?.

RESPONSE: The three surveys (ELSA, HRS, SHARE) used in our study are nationally representative surveys aimed at achieving cross-country comparability. They measured loneliness using the same 3-item R-UCLA scale. Other studies comparing countries within Europe also found cross-country differences, with Northern Europe presenting lower levels of loneliness. Importantly, cross-country differences remain evident after adjusting the models by type of measurement. A recent metanalysis showed cross-country differences in loneliness adjusting the type of measurement. To support these arguments, we reviewed the following evidence:

• Aartsen, M., Morgan, D., Dahlberg, L., Waldegrave, C., Mikulionienė, S., Rapolienė, G., & Lamura, G. (2020). Exclusion From Social Relations and Loneliness: Individual and Country-Level Changes. Innovation in Aging, 4(Suppl 1), 712–713. https://doi.org/10.1093/geroni/igaa057.2509

• Buecker, S., Maes, M., Denissen, J. J. A., & Luhmann, M. (2020). Loneliness and the Big Five Personality Traits: A Meta–Analysis. European Journal of Personality, 34(1), 8–28. https://doi.org/10.1002/per.2229

• Dykstra PA. Older adult loneliness: myths and realities. Eur J Ageing. 2009 Jun;6(2):91-100. doi: 10.1007/s10433-009-0110-3. Epub 2009 Apr 4. PMID: 19517025; PMCID: PMC2693783.

• Fokkema, T., De Jong Gierveld, J., & Dykstra, P. A. (2012). Cross-national differences in older adult loneliness. The Journal of psychology, 146(1-2), 201-228.

• Surkalim, D. L., Luo, M., Eres, R., Gebel, K., van Buskirk, J., Bauman, A., & Ding, D. (2022). The prevalence of loneliness across 113 countries: systematic review and meta-analysis. BMJ (Clinical research ed.), 376, e067068. https://doi.org/10.1136/bmj-2021-067068

• Yang, K., & Victor, C. (2011). Age and loneliness in 25 European nations. Ageing & Society, 31(8), 1368–1388. https://doi.org/10.1017/S0144686X1000139X

67: please explain why and how those 3 groups were chosen?

RESPONSE: The authors cited claim that “The grouping was a result of studying the relationship for each individual nation (details not shown here due to limited space).” Consequently, we now say in line 73 that “Countries were divided into three groups based on the author’s assessment of the relationship for each country”. In the first manuscript submitted, we re-arranged the number assigned to the groups from lowest to the highest prevalence, but to avoid confusion we now present groups using their original number (lines 72 to 79). We considered the following reference:

• Surkalim, D. L., Luo, M., Eres, R., Gebel, K., van Buskirk, J., Bauman, A., & Ding, D. (2022). The prevalence of loneliness across 113 countries: systematic review and meta-analysis. BMJ (Clinical research ed.), 376, e067068. https://doi.org/10.1136/bmj-2021-067068

74: non-europeans may need an explanation as to what countries are in northern europe.

RESPONSE: We added the list of countries within the regions mentioned in lines 74 to 81. We considered the following reference:

• Surkalim, D. L., Luo, M., Eres, R., Gebel, K., van Buskirk, J., Bauman, A., & Ding, D. (2022). The prevalence of loneliness across 113 countries: systematic review and meta-analysis. BMJ (Clinical research ed.), 376, e067068. https://doi.org/10.1136/bmj-2021-067068

87: "little is now about country-level aggreggate factors and loneliness" this is what is missing from abstract.

RESPONSE: This is an excellent point. We have added the information to the abstract in line 37.

94: this point "welfare stayes..." is better stated than in abstract. consider revising abstract.

RESPONSE: Following this and the previous comment, we revised the abstract, which now says that “The relationship between country-level factors and loneliness, however, has been underexplored.”

96: please state what "marmot studies are?

RESPONSE: The Marmot reports are classic studies on health inequalities conducted by Sir Michael Marmot for the government of the UK or for the World Health Organization. We mentioned them as “Marmot reports” and referenced the specific reports wherever appropriate. For clarification we have now added the subject of the studies “health inequalities” where we mentioned them. Please see a summary of the Marmot studies below:

Michael Marmot has led research groups on health inequalities. He was chair of the following commissions:

• The Commission on Social Determinants of Health (CSDH), at the World Health Organization. The results were synthetized in the Report: Marmot, M., Friel, S., Bell, R., Houweling, T. A., Taylor, S., & Commission on Social Determinants of Health. (2008). Closing the gap in a generation: health equity through action on the social determinants of health. The lancet, 372(9650), 1661-1669.

• The Regional Commission on the Social Determinants of Health at WHO to review health inequities in WHO’s Eastern Mediterranean Region. The results and conclusions can be found in the document: Marmot, M., Al-Mandhari, A., Ghaffar, A., El-Adawy, M., Hajjeh, R., Khan, W., & Allen, J. (2021). Build back fairer: achieving health equity in the Eastern Mediterranean region of WHO. The Lancet, 397(10284), 1527-1528.

• The Commission on Equity and Health Inequalities in the Americas at the Pan-American Health Organization dependent of the World Health Organization (PAHO/ WHO). Final report: Commission of the Pan American Health Organization on Equity and Health Inequalities in the Americas. (2019). Just Societies: Health Equity and Dignified Lives. Report of the Commission of the Pan American Health Organization on Equity and Health Inequalities in the Americas.

The British Government and the World Health Organization also requested him to conduct reviews of Health Inequalities in England, originating the following reports:

• Marmot, M. (2013). Fair society, healthy lives. Fair society, healthy lives, 1-74.

• Marmot, M., Allen, J., Bell, R., Bloomer, E., & Goldblatt, P. (2012). WHO European review of social determinants of health and the health divide. The Lancet, 380(9846), 1011-1029.

• Marmot, M. (2020). Health equity in England: the Marmot review 10 years on. Bmj, 368 (an update of the Fair society, healthy lives report)

• Al-Mandhari, A., Marmot, M., Abdu, G., Hajjeh, R., Allen, J., Khan, W., & El-Adawy, M. (2021). COVID-19 pandemic: a unique opportunity to ‘build back fairer’and reduce health inequities in the Eastern Mediterranean Region. Eastern Mediterranean Health Journal, 27(3), 217-219.

As head of the UCL Department of Epidemiology & Public Health Marmot led the Whitehall II Studies of British Civil Servants and the English Longitudinal Study of Ageing (ELSA) and published the following books:

• Marmot, M. (2015). The health gap: The challenge of an unequal world. London: Bloomsbury.

• Marmot, M. (2005). Status syndrome: How your social standing directly affects your health. A&C Black.

103-104: this sentence is not clear. consider revising.

RESPONSE: Done. Following this and other comments we substantially reviewed the introduction and methods sections.

105: life expectancy decreased in all groups or by income race/ethnicity. As you likely know in the US there is a strong correlation between income and ethnicity...

RESPONSE: We appreciate the author’s comment. Although the life expectancy decreased in all groups with different levels depending on ethnicity, we revised the introduction focusing exclusively on evidence related to loneliness. We have considered:

• Organization WH: Social determinants of mental health. 2014.

• Marmot M: Health equity in England: the Marmot review 10 years on. Bmj 2020, 368.

108-9: This point still needs needs more clarification as it seems more related to isolation and less to loneliness. OR does it contribute more to one aspect of loneliness. i.e. the structural factors of loneliness (otherwise I dont see how this income inequality contributes to the emotional or functional aspects of loneliness).

RESPONSE: We now offer a much more in-depth description in the introduction section that explicitly addresses the differences between loneliness and social isolation. Loneliness varies across countries, partly due to country-level factors that shape people’s living conditions, access to education, work, and health, possibility for social connexions, household economic level, retirement plans, expectations of social connections, and expectations for retirement years, among other factors related to loneliness. The Integrative Theoretical Model of loneliness postulates that the subjective experience of loneliness results from subjective and objective factors, and from the interaction between micro-level or individual variables with macro-level or social/environmental variables. Older adults living in highly unequal countries are thus expected to experience more loneliness because they will be more socially isolated and have limited access to support. They would be living with multiple chronic diseases and disabilities, in poverty, with poor access to health care, lack of social and leisure opportunities, living in places with higher crime levels, and lower expectations for community-based support. It would also affect trust, self-esteem, and intergenerational social interaction expectations. Loneliness is a common experience and is not detrimental to health in all cases. The evolutionary theory of loneliness establishes loneliness as an adaptative mechanism for species and individual survival. However, when loneliness is chronic (very intense and long-lasting) it manifests as a risk factor for adverse health outcomes. Therefore, analysing the likelihood of people reporting severe loneliness using country-level factors fills knowledge gaps about cross-country differences in loneliness or individual differences in loneliness that cannot be fully attributed to individual-level factors. In updating our manuscript, we have considered the following references:

• Aartsen, M., Morgan, D., Dahlberg, L., Waldegrave, C., Mikulionienė, S., Rapolienė, G., & Lamura, G. (2020). Exclusion From Social Relations and Loneliness: Individual and Country-Level Changes. Innovation in Aging, 4(Suppl 1), 712–713. https://doi.org/10.1093/geroni/igaa057.2509

• Buecker, S., Maes, M., Denissen, J. J. A., & Luhmann, M. (2020). Loneliness and the Big Five Personality Traits: A Meta–Analysis. European Journal of Personality, 34(1), 8–28. https://doi.org/10.1002/per.2229

• de Jong Gierveld, J., & Tesch-Römer, C. (2012). Loneliness in old age in Eastern and Western European societies: theoretical perspectives. European journal of ageing, 9(4), 285–295. https://doi.org/10.1007/s10433-012-0248-2

• de Jong Gierveld, J., Tilburg, T., & Dykstra, P. (2018). New Ways of Theorizing and Conducting Research in the Field of Loneliness and Social Isolation. In A. Vangelisti & D. Perlman (Eds.), The Cambridge Handbook of Personal Relationships (Cambridge Handbooks in Psychology, pp. 391-404). Cambridge: Cambridge University Press. Doi:10.1017/9781316417867.031

• Dykstra P. A. (2009). Older adult loneliness: myths and realities. European journal of ageing, 6(2), 91–100. https://doi.org/10.1007/s10433-009-0110-3

• Fokkema, T., De Jong Gierveld, J., & Dykstra, P. A. (2012). Cross-national differences in older adult loneliness. The Journal of psychology, 146(1-2), 201-228.

• Hawkley, L. C., & Capitanio, J. P. (2015). Perceived social isolation, evolutionary fitness and health outcomes: a lifespan approach. Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 370(1669), 20140114. https://doi.org/10.1098/rstb.2014.0114

• Morgan, D. et al. (2021). Revisiting Loneliness: Individual and Country-Level Changes. In: Walsh, K., Scharf, T., Van Regenmortel, S., Wanka, A. (eds) Social Exclusion in Later Life. International Perspectives on Aging, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-030-51406-8_8

• Marmot M: Health equity in England: the Marmot review 10 years on. Bmj 2020, 368.

• Mund, M., Freuding, M. M., Möbius, K., Horn, N., & Neyer, F. J. (2020). The Stability and Change of Loneliness Across the Life Span: A Meta-Analysis of Longitudinal Studies. Personality and social psychology review : an official journal of the Society for Personality and Social Psychology, Inc, 24(1), 24–52. https://doi.org/10.1177/1088868319850738

• Organization WH: Social determinants of mental health. 2014.

• Organization WH: Decade of healthy ageing: baseline report. 2020.

• Organization WH: Decade of healthy ageing: Plan of action. Proceedings of the 73rd World Health Assembly, Geneva, Switzerland 2020:17-21.

• Yang, K., & Victor, C. (2011). Age and loneliness in 25 European nations. Ageing & Society, 31(8), 1368–1388. https://doi.org/10.1017/S0144686X1000139X

167: please explain why recording all to over 90. There is quite a bit of heterogeneity w aging and the oldest old are an important category so please justify this.

RESPONSE: We now explain in line 189 that the recodification was made based on the small number of people who are more than 90 years old (n=600 for the 17 countries: 0.79% from the total sample).

167: marital status: are there questions on relationships status (or just marriage?).

As this is limiting and at times preferences heterosexuals or those that can legally marry.

RESPONSE: As we now explain in the manuscript line 191, the measurement includes both marriages and partnerships without restriction to legal unions.

170: how were functional measures defined or measured?

RESPONSE: Lines 196 to 198 in the revised manuscript now say that “Functional limitations were assessed using the three items (bathe, dress, and eat) defined in the Wallace and Herzog measure Activities of daily living (ADLs).” We have considered:

• Wallace, R. B., & Herzog, A. R. (1995). Overview of the Health Measures in the Health and Retirement Study. The Journal of Human Resources, 30, S84–S107. https://doi.org/10.2307/146279

216: the individual factors contributing to 91% of total variation is important and also something missing from abstract, or what makes the abstract hard to grasp.

RESPONSE: We appreciate this comment, which helped us reformulate the results section correcting the ICC interpretation of the updated analyses with the final sample. We reported an ICC of 0.079, which means that 7.9% of the individual-level variance was explained by cross-country differences. We also clarified that the final model (model 3 as a whole) explained 24% of the total variance for the prevalence of loneliness.

230: don’t think it’s clear how or why the different models were developed. please explain or maybe a summary table?

RESPONSE: We added a more detailed explanation in the methods section lines 211 to 216, which now says: “We computed four sequential models to analyse the relationship between country-level economic inequality and individual-level loneliness. Model 1 included a fixed and random intercept only, allowing for an estimation of Intra-Class Correlation (ICC). Model 2 included the GINI index, allowing for an unadjusted estimation of its relationship with loneliness. Model 3 added individual-level control variables to model 2. Finally, model 4 added GDP per capita as a country-level control variable to model 3.”

234: not clear if by work status you mean "answering yes, to working"

RESPONSE: We have added more details to the method section lines xx, which now says: “Work status measured paid work (full- or part-time, salaried or self-employed, combined or not with partial retirement) as opposed to not working for pay (complete retirement, disabled, unemployed, or out of the labour force).”

268: might highlight not just mental health, but loneliness specifically.

RESPONSE: Following this and other comments, we substantially revised the whole discussion section.

270: typo. "inti" please also provide a theoretical frameowkr as more activity doesnt always equate to less loneliness.

RESPONSE: Done. Following this and other comments, we substantially revised the whole discussion section.

279: nice example of the national resource center. But not sure this is widely used in US. Instead, I might suggest that though there are resources in the US there isnt actually a national strategy.

RESPONSE: We appreciate the reviewer’s comment and agree that having resources and a national strategy are two different things. The revised text in lines 340 to 342 say: “In the case of the US, although there is no clear national strategy and more efforts might be found through state-based approaches, there are important initiatives like the National Resource Center for Engaging Older Adults [22].” We have considered the following evidence:

• McDaid, D., Qualter, P., Arsenault, L., Barreto, M., Fett, A. K., Hey, N., ... & Victor, C. (2022). Tackling loneliness evidence review.

• Marmot M: Health equity in England: the Marmot review 10 years on. Bmj 2020, 368.

• Mund, M., Freuding, M. M., Möbius, K., Horn, N., & Neyer, F. J. (2020). The Stability and Change of Loneliness Across the Life Span: A Meta-Analysis of Longitudinal Studies. Personality and social psychology review : an official journal of the Society for Personality and Social Psychology, Inc, 24(1), 24–52. https://doi.org/10.1177/1088868319850738

• Organization WH: Social determinants of mental health. 2014.

• Organization WH: Decade of healthy ageing: baseline report. 2020.

• Organization WH: Decade of healthy ageing: Plan of action. Proceedings of the 73rd World Health Assembly, Geneva, Switzerland 2020:17-21.

• Yang, K., & Victor, C. (2011). Age and loneliness in 25 European nations. Ageing & Society, 31(8), 1368–1388. https://doi.org/10.1017/S0144686X1000139X

281-283: sorry for redundancy, but it still feels like you need to go more indepth for a theoretical framework, as the link to isolation is easier to make than loneliness. and how could one actually tackle the dispersion of income distribution? In the US, it would involve dismantling capitalism, and core american individualistic principles. I realize this is an extreme view, and thus, there needs to be a more nuances discussion of what the findings of this paper actually suggest.

RESPONSE: We appreciate this comment, which helped us to substantially revise the discussion section. The updated discussion was based on the perspective of health inequalities, social determinants of health, and the integrative model of loneliness. Social relationships are essential for health. Social isolation and loneliness are two distinct aspects of social relationships, not always associated. However, even considering that people who feel lonely are not necessarily isolated, social isolation has been described as being a high risk for loneliness. Interventions usually focus on improving social connectedness to reduce both social isolation and loneliness. The current conclusions about the interventions for loneliness are that: 1) they need to target people more at risk, 2) they need to consider the specific elements of the individual experience of loneliness (age, personality, lack of network, or lack of economic resources), and 3) the individual interventions need to be combined with structural interventions to made communities more interconnected and ageing friendly.

Loneliness has been previously related to economic inequality and social deprivation. The integrative model of loneliness describes the multilevel structure of loneliness, with individual and macro-social factors interacting to produce living conditions that increase and chronify the level of loneliness.

Studies on health inequalities pointed out that income inequality produces material and subjective deprivation affecting people’s health and mental health. The groups at the bottom of the social gradient have a lower life expectancy and live more years with disability and chronic diseases. We are also exploring how this social gradient affects social relationships, increasing social isolation, and loneliness. In this sense, the international calls to reduce inequality among and within countries are not focusing on changing the economic system but on establishing social protection measures to support countries with lower resources and the most disadvantaged groups within countries with high incomes, like the case of the US.

We have added the perspectives of the United Nations and the World Health Organization about inequality and healthy ageing, and the integrative model of loneliness, to the discussion section. We also recognise the lack of an objective measure of social isolation in the models as a limitation of this study (see discussion section lines 393 to 398). However, based on the Steptoe Index of Social Isolation, we know that marital status can be used as a proxy. Future research should consider social isolation as a potential confounder of the association between between-country inequality and loneliness.

In preparing this response we have considered the following references:

• Aartsen, M., Morgan, D., Dahlberg, L., Waldegrave, C., Mikulionienė, S., Rapolienė, G., & Lamura, G. (2020). Exclusion From Social Relations and Loneliness: Individual and Country-Level Changes. Innovation in Aging, 4(Suppl 1), 712–713. https://doi.org/10.1093/geroni/igaa057.2509

• McDaid, D., Qualter, P., Arsenault, L., Barreto, M., Fett, A. K., Hey, N., ... & Victor, C. (2022). Tackling loneliness evidence review.

• Buecker, S., Maes, M., Denissen, J. J. A., & Luhmann, M. (2020). Loneliness and the Big Five Personality Traits: A Meta–Analysis. European Journal of Personality, 34(1), 8–28. https://doi.org/10.1002/per.2229

• de Jong Gierveld, J., & Tesch-Römer, C. (2012). Loneliness in old age in Eastern and Western European societies: theoretical perspectives. European journal of ageing, 9(4), 285–295. https://doi.org/10.1007/s10433-012-0248-2

• de Jong Gierveld, J., Tilburg, T., & Dykstra, P. (2018). New Ways of Theorizing and Conducting Research in the Field of Loneliness and Social Isolation. In A. Vangelisti & D. Perlman (Eds.), The Cambridge Handbook of Personal Relationships (Cambridge Handbooks in Psychology, pp. 391-404). Cambridge: Cambridge University Press. Doi:10.1017/9781316417867.031

• Dykstra P. A. (2009). Older adult loneliness: myths and realities. European journal of ageing, 6(2), 91–100. https://doi.org/10.1007/s10433-009-0110-3

• Fokkema, T., De Jong Gierveld, J., & Dykstra, P. A. (2012). Cross-national differences in older adult loneliness. The Journal of psychology, 146(1-2), 201-228.

• Hawkley, L. C., & Capitanio, J. P. (2015). Perceived social isolation, evolutionary fitness and health outcomes: a lifespan approach. Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 370(1669), 20140114. https://doi.org/10.1098/rstb.2014.0114

• Morgan, D. et al. (2021). Revisiting Loneliness: Individual and Country-Level Changes. In: Walsh, K., Scharf, T., Van Regenmortel, S., Wanka, A. (eds) Social Exclusion in Later Life. International Perspectives on Aging, vol 28. Springer, Cham. https://doi.org/10.1007/978-3-030-51406-8_8

• Marmot M: Health equity in England: the Marmot review 10 years on. Bmj 2020, 368.

• Mund, M., Freuding, M. M., Möbius, K., Horn, N., & Neyer, F. J. (2020). The Stability and Change of Loneliness Across the Life Span: A Meta-Analysis of Longitudinal Studies. Personality and social psychology review : an official journal of the Society for Personality and Social Psychology, Inc, 24(1), 24–52. https://doi.org/10.1177/1088868319850738

• National Academies of Sciences, Engineering, and Medicine. (2020). Social isolation and loneliness in older adults: Opportunities for the health care system. National Academies Press.

• Organization WH: Social determinants of mental health. 2014.

• Organization WH: Decade of healthy ageing: baseline report. 2020.

• Organization WH: Decade of healthy ageing: Plan of action. Proceedings of the 73rd World Health Assembly, Geneva, Switzerland 2020:17-21.

• Steptoe A, Shankar A, Demakakos P, Wardle J. Social isolation, loneliness, and all-cause mortality in older men and women. Proceedings of the National Academy of Sciences 2013; 110(15): 5797-801.

• Yang, K., & Victor, C. (2011). Age and loneliness in 25 European nations. Ageing & Society, 31(8), 1368–1388. https://doi.org/10.1017/S0144686X1000139X

300: I wonder if the work status and loneliness is centered on "life purpose" as a mediator.

RESPONSE: This is an interesting question. Work is a protective factor for health, and it is related to both social role and personal identity. Income aside (because in most countries with high levels of inequality, retirement pensions do not meet older adults' needs), it might be that life purpose is a mediator between work and loneliness. We have added this insightful idea as a suggestion for future research. We considered the following evidence:

• Bowen CE, Noack MG, Staudinger UM: Chapter 17 - Aging in the Work Context. In: Handbook of the Psychology of Aging (Seventh Edition). Edited by Schaie KW, Willis SL. San Diego: Academic Press; 2011: 263-277.

• Hill P.L., Cardador M.T. (2017) Purpose, Meaning, and Work in Later Life. In: Pachana N.A. (eds) Encyclopedia of Geropsychology. Springer, Singapore. https://doi.org/10.1007/978-981-287-082-7_299

311: not sure it is correct to define loneliness as a symptom of depression. ie. it isnt part of our standard screenings questions (i.e. phq-9). may be more accurate to stay that loneliness may be an experience that people w depression have. and remember that most lonely people are not depressed.

RESPONSE: Following this and other comments we have reformulated the discussion section to avoid confusion. We agree that people who feel lonely are not necessarily depressed. However, the Center for Epidemiological Studies-Depression (CES-D) include the item "During the past week… I felt lonely" as one of several indicators of depressive symptomatology. We considered the followjng evidence:

• Lewinsohn, P.M., Seeley, J.R., Roberts, R.E., & Allen, N.B. (1997). Center for Epidemiological Studies-Depression Scale (CES-D) as a screening instrument for depression among community-residing older adults. Psychology and Aging, 12, 277- 287.

• Radloff, L. S. (1977). The CES-D scale: A self report depression scale for research in the general population. Applied Psychological Measurements, 1, 385-401.

336-339> im left wondering what now, and HOW do we address the gap in wealth distribution? The conclusion needs to be strengthened.

RESPONSE: We appreciate the reviewer's comment, which helped us to substantially revise our discussion and conclusion. Although there is no silver bullet to address country-level income inequality, we included recommendations based on the Marmot Reports. For example, we added the following text in lines 323 to 325: “Among other actions, they call for the involvement of all sectors in reducing inequality and for countries to approve social protection policies and improve their regulations of the global financial market and institutions. Previously, it has been highlighted that regardless of a country’s economic system, policies and plans should be in place to protect those at bottom of the economic gradient [45].”

Taking a different angle, in lines 328 we argue that: “Individual-level interventions have shown effectiveness in addressing loneliness [69]. However, based on the multilevel composition of loneliness, structural interventions seem to be necessary. National programs targeting people at greater risk of social isolation and loneliness might help overcome inequalities in the distribution of loneliness. Several countries have already implemented programmes addressing social isolation and loneliness in older adults. For instance, European countries have used primary care and other organizations to connect older adults with one another (e.g. Befriending Networks in Ireland, MONALISA in France, the Campaign to End Loneliness in the UK [70, 71]. The United Kingdom has declared social isolation and loneliness as a serious public health problem and has established structural approaches to address them. A series of measures to tackle social isolation and loneliness have been implemented in the last decade, including the creation of a “social prescription” program recently launched by the new Ministry of Loneliness that consist in personalized plans and trains workers to link people with social integration. In the case of the US, although there is no clear national strategy and more efforts might be found through state-based approaches, there are important initiatives like the National Resource Center for Engaging Older Adults [72].”

COMMENTS BY REVIEWER 2

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions.

Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #2: No.

RESPONSE: We updated our analyses and made several changes throughout the manuscript to strengthen our methods, results, and conclusions. Wherever appropriate, we softened the language to ensure that all conclusions were based on the data and results presented.

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #2: I Don't Know

RESPONSE: We believe our updated analyses are appropriate and rigorous and hope that reviewer 2 will agree. We followed STROBE reporting guidelines to ensure that all the details on the strengths and weaknesses of our study can be fully assessed by the reader.

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #2: Yes

RESPONSE: We thank the reviewer for this positive assessment.

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #2: No

RESPONSE: We checked carefully for typographical and grammatical errors and made several changes throughout the manuscript to improve the narrative and ensure that our language was clear, correct, and unambiguous.

5. Review Comments to the Author

This is a referee report on the paper “Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries”. The authors tried to show a significant association of the country-level index of inequality represented by GINI on individual-level loneliness by using a multilevel logistic regression model. However, it is uncertain whether those analyses support their conclusion. Please, kindly find the attached file to improve the manuscript.

RESPONSE: We have considered and worked through these comments with great attention and dedication. We believe our updated analyses are appropriate, rigorous and hope that reviewer 2 will agree that they support our conclusions.

Major comments

Is it appropriate to apply multilevel analysis on the data from 17 countries? The reviewer understands the prevalence of outcome significantly varies across the countries however N=17 is too few for multilevel analysis.

RESPONSE: Secondary analysis of available datasets often has the number of countries (clusters) availability as a limitation. We now explicitly acknowledge and address this limitation (see lines 388 to 390 in the limitations section and lines 218 to 220 in the statistical analysis section). Following evidence that the number of clusters and sample sizes for multilevel analyses affected only the standard errors but not the point estimates, we added a bootstrap analysis. We repeated our final model (model 3) using a hierarchical logistic regression using bootstrap errors with 100 iterations. The results were highly consistent after obtaining more precise standard errors for the first and second levels of analysis. We added this explanation to the methods section lines 218 to 220 and the results to the supplementary material section 4.

As an additional sensitivity analysis, we conducted logistic regressions ignoring the cluster structure of the data but including countries as a dummy variable in the model. As seen in the output below, the model: (1) overestimated the relationship between country inequality and the prevalence of loneliness, and (2) dropped a country because of the collinearity.

In preparing this response we considered the following references:

• Bryan, M. L., & Jenkins, S. P. (2013). Regression analysis of country effects using multilevel data: A cautionary tale.

• Peter C. Austin & George Leckie (2018) The effect of number of clusters and cluster size on statistical power and Type I error rates when testing random effects variance components in multilevel linear and logistic regression models, Journal of Statistical Computation and Simulation, 88:16, 31513163,

DOI: 10.1080/00949655.2018.1504945

Logistic regression results using countries as covariate:

In the main result section (3.2 in the text on pages 12-13), the interpretation of the analyses is uncertain.

RESPONSE: We substantially revised the interpretation of analyses to avoid lack of clarity and ambiguities.

-In line 217, the authors mentioned “Country differences accounted for seven percent of the total variation of the being lonely.” It is unclear what is the number “7%”. Also, the next sentence “There was statistically significant variability in the odds of loneliness between the countries” is not understandable based on the OR of constant value in the fixed effect. It is not clear what beta01 means (beta01 is not defined in the equation in the method section).

RESPONSE: We appreciate this comment and revised the text accordingly, which now says: “HLM results are reported in Table 3. The unadjusted relationship between individual-level variables and loneliness prevalence was statistically significant (see supplementary materials, section 3, Table S3-B). As indicated by the Intra-Class Correlation (ICC), the variability between countries accounted for 7.9% of the total variation in the likelihood of an individual being lonely. In an average country, the odds of being lonely, defined as scoring more than 6 points in the three items of R-UCLA, was 0.13. However, there was statistically significant variability in the odds of loneliness between countries (Between country variance= 0.283; 95% IC: 0.144-0.559).”

Please, unify an expression of terms. For instance, the authors uses Self reported health and self-perceived health. This mixed expression is confusing readers.

RESPONSE: Done.

Table B in S2 is not easy to understand.

RESPONSE: We updated the table for clarity.

Minor comments

In line 77 on page 5, R-UCLA suddenly appears. Please, explain what this means at the first use in the text even if the authors explained it in detail after this section.

RESPONSE: We have added the full name of the scale in the introduction section lines 87 and 88, which now say “revised version of The University of California Los Angeles Loneliness Scale (R-UCLA scale)”

In Fig. 1, in the column of ELSA, the number of bottoms is “N=7934”. Why does the number of participants increase after incomplete cases are excluded?

RESPONSE: We thank the reviewer for pointing out this error, which we thoroughly corrected in the revised manuscript (see Fig. 1).

In line 177 on page 9, the authors mentioned: “see Table B in S3 Tables”. Please, mention a result in the result section.

RESPONSE: Done.

In Table 1, values of frequency and mean are mixed. Unit of age is not shown, and the value of Self-Reported Health is unclear. These make the table difficult to understand.

RESPONSE: We updated Table 1 as suggested.

The numbering of the tables is confusing. There are Table A and B in S2 and S3 Tables. The authors may change to for example “S2-A”.

RESPONSE: Done.

Attachment

Submitted filename: Response to Reviewers 220730.docx

Decision Letter 1

Zhuo Chen

30 Aug 2022

Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries

PONE-D-22-10438R1

Dear Dr. Calvo,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

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Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Acceptance letter

Zhuo Chen

14 Sep 2022

PONE-D-22-10438R1

Income inequality and its relationship with loneliness prevalence: A cross-sectional study among older adults in the US and 16 European countries

Dear Dr. Calvo:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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Kind regards,

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on behalf of

Prof. Zhuo Chen

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 File. Predictive models for the prevalence of loneliness.

    (DOCX)

    S1 Table. Analytic sample description.

    (DOCX)

    S2 Table. Missing data.

    (DOCX)

    S3 Table. Observed Bootstrap Normal for model D (N = 75,891).

    (DOCX)

    S4 Table. Reliability analysis of the three items from the R-UCLA scale.

    (DOCX)

    Attachment

    Submitted filename: Reviewer report.docx

    Attachment

    Submitted filename: Response to Reviewers 220730.docx

    Data Availability Statement

    The data underlying the results presented in the study are available from: https://hrs.isr.umich.edu/ http://www.share-project.org/ https://www.elsa-project.ac.uk/.


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