Keywords
Loneliness; life course; social determinants; cross-national comparison;
machine learning
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1. Introduction
Loneliness, defined as a subjective negative feeling related to the lack of a wider
social network and desired relationships 1, is associated with adverse health outcomes,
such as chronic inflammation, cardiovascular diseases and early mortality 2,3. Studies
have shown that loneliness is associated with worse cognition in aging mediated by
depression 4 and significantly increases the risk of mortality in older adults 5,6. With
the population rapidly aging worldwide, understanding the consequences and factors
behind loneliness in older populations has gained more attention. The COVID-19
pandemic further exacerbated loneliness due to social restriction measures
7,
emphasizing the need to identify predictors and develop effective interventions for
loneliness, especially in times of public health crises.
Previous studies have investigated a wide range of social determinants of
loneliness among older adults
8–11. However, these studies often have significant
limitations. First, most previous research has focused on a narrow set of
individual-level social predictors, such as gender
12 and education 13, while neglecting
broader social determinants, such as childhood circumstances, access to healthcare,
and economic difficulties. Second, the reliance on traditional statistical models, such
as logistic regression 14–19, can lead to biased selection of predictors, potentially
ignoring complex relationships between social determinants and loneliness. To
supplement such approaches, machine learning (ML) methods offer a data-driven
approach that can consider a wider range of predictors and address multicollinearity
issues
20, thus capturing understudied social factors that may influence loneliness.
Third, most studies have only looked at current factors, ignoring the life-course
perspective that recognizes loneliness as an outcome shaped by experiences at
different life stages
15,21. While life-course determinants are assessed in some studies
15,18,22, only a few studies have utilized ML techniques 23, typically using a small
number of predictors of loneliness in old age. Finally, previous studies have focused
on a particular region, not allowing analyses of how the social determinants of
loneliness vary across sociocultural contexts. Although some cross-national
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comparisons exist 24,25, indicating that certain social determinants are consistent
across countries and that effective interventions may be transferable, these studies
lack a life-course perspective and do not utilize ML techniques.
To address these gaps, we utilized 6 ML models to evaluate 18 life-course social
predictors of loneliness across various regional contexts during the COVID-19
pandemic. By including a broad range of social predictors from early life,
pre-pandemic, and pandemic periods, we identified the most significant predictors and
created a streamlined model to predict loneliness. Our life-course, cross-national
approach provides a comprehensive understanding of social determinants of
loneliness in late life. This approach may help identify vulnerable segments of the
aging population and propose context-sensitive interventions that can be used to
alleviate loneliness among aging populations, especially in the event of future public
health crises.
2. Data and Method
2.1. Participants
We used data from three nationally representative surveys: the Health and
Retirement Survey (HRS), the English Longitudinal Study of Ageing (ELSA), and
Ageing and the Survey of Health, Retirement in Europe (SHARE). Shortly after the
outbreak of the COVID-19 pandemic, these surveys started collecting data on the
pandemic’s effects on health, known as the HRS COVID-19 survey, ELSA
COVID-19, and SHARE COVID-19, respectively. The HRS COVID-19 survey
conducted interviews with participants over 50 years old residing in the US in June
2020 or later. The ELSA COVID-19 survey interviewed participants aged 50 and
older living in England during the summer of 2020. The SHARE COVID-19 survey
interviewed participants aged 50 and older living across 27 European countries and
Israel around the summer of 2020. Additionally, we included data from the most
recent regular surveys conducted before the onset of the COVID-19 pandemic. More
detailed information about these surveys is available from other sources
26–28.
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We focused on participants aged 65+ and excluded those with missing
information on loneliness during the COVID-19 pandemic. The final cohort included
2,851 participants from the HRS COVID-19 survey, 4,478 participants from the
ELSA COVID-19 survey, and 39,687 participants from the SHARE COVID-19
survey. Figure 1 illustrates the sample selection process.
2.2. Measures
In the HRS COVID-19 survey, participants were asked to report, “How often do
you feel lonely? Often, some of the time, or hardly ever or never?”; in the ELSA
COVID-19 survey, participants were asked, “How often do you feel lonely? Often,
some of the time, or hardly ever or never”; in the SHARE COVID-19 survey,
participants were asked, “How often do you feel lonely? Often, sometimes, or hardly
ever or never?”. To conduct a comparative analysis of predicting loneliness among
these three surveys, we created a binary variable called loneliness, where “Often,
some of the time, or sometimes” was categorized as “feel lonely” while “hardly ever
or never” was categorized as “not feel lonely”.
Since a variety of social predictors throughout the life course may impact
loneliness during the COVID-19 pandemic, we included 18 predictors from 6
domains: childhood circumstances (father’s education, mother’s education, and
occupation type of family breadwinner), demographics (gender, education, marriage,
and age), health behaviors (smoking and alcohol consumption), economic situations
(receiving pension income before the pandemic, total household income before the
pandemic, missing paying bills during the pandemic, and receiving financial support
during the pandemic), social connection (weekly contact with children), and
COVID-19-related adversity (ever being diagnosed with COVID, anyone died from
COVID, delaying medical care, and delaying medical care-surgery). Only predictors
with less than 40% missing data were included. Detailed explanations of these
predictors can be found in Supplementary material.
2.3. Machine Learning Model
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Six ML models including CatBoost, XGBoost, Random Forest, Decision Tree,
K-Nearest Neighbors (KNN) and Naïve Bayes were utilized to assess the importance
of predictors when predicting loneliness. ML models offer several advantages over
traditional linear regression models. First, ML excels at capturing non-linear
relationships between predictors and outcomes, which linear models often miss.
Second, it effectively handles multicollinearity, where predictors are susceptible to
being highly correlated. Third, as non-parametric models, ML can identify a wider
variety of patterns in the data. All ML analyses were conducted using Python 3.10.9.
2.3.1. Data Pre-Processing
To address missing values of predictors, we used median imputation for
continuous variables and mode imputation for categorical variables, which has
become a widely used approach for imputing missing values
29,30.
2.3.2. Model Development
The process of model development is described in Figure 2. To assess the
generalization capability of the ML models, we divided the dataset into training (70%)
and testing (30%) subsets. Due to the imbalance in classes, with a minority of
participants reporting loneliness (46% in the HRS dataset, 27% in the ELSA dataset,
and 31% in the SHARE dataset), we adjusted the scale_pos_weight parameter of the
ML model accordingly. Hyperparameter tuning was conducted using both random
search and grid search methods with 10-fold cross-validation to identify optimal
hyperparameters for ML models, an approach shown in prior studies to improve ML
performance and generalizability
31,32.
The lack of interpretability is a significant shortcoming of ML models. Recently,
Shapley Additive Explanations (SHAP), an extension of game theory, have been
utilized in studies of ML-based predictions to measure the contribution of each
predictor in these models
33. In this study, SHAP values is used to quantify both the
magnitude and direction of the associations between predictors and loneliness.
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Moreover, the distribution and clustering of SHAP values along the x-axis may
indicate potential non-linear relationships between each predictor and loneliness.
The predictive performance of the ML models was evaluated using a set of
metrics, including the area under the curve (AUC), accuracy, positive predictive value
(PPV), negative predictive value (NPV), sensitivity, and specificity.
3. Result
3.1. Descriptive Analysis
Characteristics of participants in the HRS (n=2,851, 60% women), ELSA
(n=4,478, 55% women), and SHARE (n=39,687, 57% women) are presented in Table
1. The mean (standard deviation (SD)) age of participants was 75.40 (7.50) years in
the HRS, 73.96 (6.55) years in ELSA, and 74.63 (7.04) years in SHARE. During the
COVID-19 pandemic, the prevalence of loneliness varied across regions, with 46% of
participants reporting loneliness in the US (HRS dataset), 27% in England (ELSA
dataset), and 31% in Europe and Israel (SHARE dataset).
3.2. Model Performance
CatBoost demonstrated the best predictive ability on the test data for predicting
loneliness among older adults during the COVID-19 pandemic across all datasets
(Figure 3). In the HRS dataset, XGBoost achieved an accuracy of 0.632, AUC of
0.603, sensitivity of 0.581, specificity of 0.620, PPV of 0.558, and NPV of 0.642. In
the ELSA dataset, the accuracy was 0.693, AUC 0.641, sensitivity 0.641, specificity
0.641, PPV 0.406, and NPV 0.823. In the SHARE dataset, CatBoost achieved the
highest accuracy of 0.718, with an AUC of 0.672, sensitivity of 0.657, specificity of
0.678, PPV of 0.477, and NPV of 0.816. These findings suggest that loneliness
prediction models perform better in Europe and Israel than in England and the US.
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3.3. Predictor Importance
Common Predictors across Datasets
Several social predictors consistently ranked as the top predictors across all
datasets (Figure 4), underscoring their robustness in predicting loneliness during the
COVID-19 pandemic. Marital status emerged as the most influential predictor across
all three datasets, highlighting that being married or partnered contributed to reducing
the likelihood of experiencing loneliness. Women were more prone to loneliness.
Childhood circumstances, including parental education and breadwinner occupation,
also emerged as strong predictors of loneliness. For instance, a lower-status
breadwinner occupation during childhood was associated with a higher risk of
loneliness in both England and Europe and Israel. COVID-19-related adversities, such
as delayed medical care during the pandemic, were closely linked to an increased
likelihood of loneliness in the US, as well as in Europe and Israel.
Distinct Predictors across Regions
In the US (HRS dataset), delaying medical care during the pandemic was
identified as a more crucial predictor than in England, Europe, and Israel, highlighting
the role of healthcare insecurity in loneliness among older Americans. Additionally,
economic factors, such as pre-pandemic household income and receiving financial
support from others during the pandemic, were found to be important predictors of
loneliness, suggesting the role of financial constraints in loneliness among older
adults in the US.
In England (ELSA dataset), education was found to be a stronger predictor than
in the US, Europe and Israel, with higher levels of education generally associated with
a lower odds of loneliness, highlighting its protective role. Additionally, receiving a
public pension before the pandemic and the occupation type of family breadwinner
during childhood were identified as more significant predictors.
In Europe and Israel (SHARE dataset), age was identified as a more significant
predictor, indicating that older adults are more likely to experience feelings of
loneliness. Additionally, parental education emerged as a more important social
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predictor, with higher education indicating a lower risk of loneliness. These findings
suggest the lasting influence of childhood circumstances on late-life loneliness among
European and Israeli older adults.
3.4. Non-linear Relationships Between Predictors and Loneliness
SHAP dependency plots revealed several non-linear associations between social
determinants and loneliness (Figure 5). In all three datasets, there were non-linear
associations between age and loneliness among older adults. For example, in the
SHARE dataset, loneliness risk sharply increased after the age of around 80.
Education levels also showed a non-linear relationship with late-life loneliness. For
instance, in the ELSA dataset, completing education at the age of 18 and above
(education value of 5 and 6 in Figure 4) was associated with lower loneliness risk. In
the SHARE dataset, a threshold effect was observed at around 13 or more years of
education, beyond which higher education levels were linked to lower loneliness risk.
3.4. Streamlined Predictive Models
We used a feature selection method to identify the top 10 social predictors for
constructing streamlined predictive models across regions (Figure 6). These models
achieved predictive performance close to that of the full 18-predictor model. This
enables us to streamline the prediction model, effectively assess the risks of loneliness
and implement interventions to reduce loneliness among older adults in future public
health crises. The top 10 predictors varied by region: in the US, they included marital
status, pre-pandemic household income, age and other predictors; in England, marital
status, gender, delayed medical care during the pandemic, and other predictors; and in
Europe and Israel, marital status, pre-pandemic household income, age, and other
predictors. The complete list of the top 10 predictors is provided in the note for Figure
6.
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4. Discussion
To the best of our knowledge, this is the first cross-national study on the
life-course predictors of loneliness during the COVID-19 health crisis. By
incorporating a life-course perspective and a comprehensive set of social predictors
spanning from early-life, pre-pandemic, and pandemic periods, our findings enhance
our understanding of how social determinants shape loneliness across various
sociocultural contexts during the global health crisis.
Key Social Predictors of Loneliness
Our results indicate that certain social determinants were consistent across
regions, while others varied depending on the national contexts. Marital status was the
strongest predictor in the US, England, Europe and Israel. Older adults who were
married or partnered had more social support
34, and hence were less likely to
experience loneliness, emphasizing the protective role of marriage against loneliness
in both pandemic and non-pandemic settings 35–37. Gender was another critical
predictor, with women showing a higher likelihood of loneliness across all regions,
likely because they tend to be widowed and live alone
38, consistent with previous
studies highlighting gender differences in loneliness 39,40. Childhood circumstances,
particularly parental education and breadwinner occupation, also played an important
role in predicting loneliness. This underscores the lasting impact of early-life
socioeconomic status on late-life loneliness
41–43. Similarly, COVID-19-related
adversity, such as delaying medical care during the pandemic, was a consistent
predictor in all regions, indicating the immediate impact of the pandemic on
loneliness.
While these social predictors were common across regions, the relative
importance of several of them varied. In the US, the economic situation, such as
pre-pandemic household income and receiving financial support from others during
the pandemic, was a more important predictor. This highlights the financial
constraints of older Americans and their influence on loneliness
44. In England,
receiving a public pension before the pandemic and the occupation type of the family
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breadwinner during childhood were more crucial, suggesting the long-term economic
influences on loneliness in this context. In Europe and Israel, parental education
ranked as a stronger predictor, emphasizing the enduring impact of parental education
disparities on children’s late-life loneliness.
We further explored the non-linear relationships between age, education levels,
and loneliness, highlighting the complexity of these connections. Specifically, we
discovered threshold effects where the risk of loneliness significantly increased after
the age of around 80 in Europe and Israel, highlighting the heightened vulnerability of
the oldest-old to loneliness. These findings are consistent with prior research that
indicates a non-linear relationship between age and loneliness in non-pandemic
settings
45. Similarly, the relationship between education and loneliness was also
non-linear, with protective effects observed beyond certain education thresholds in
England, Europe, and Israel.
Model Predictive Performance
Our findings demonstrate that the ML methods, particularly the CatBoost model,
effectively predicted loneliness with varying levels of accuracy across different
regions. The model achieved the highest AUC among older adults in Europe and
Israel, followed by England and the US. These variations may reflect differences in
sociocultural influences. The relatively lower performance in England and the US
may be due to the absence of additional unmeasured key predictors in our models that
could influence loneliness in these countries, such as race, ethnicity, and
neighborhood social cohesion, all of which have been shown to be associated with
loneliness among older adults during the pandemic in the US and England
46–48.
Streamlined Predictive Model for Future Applications
We developed a streamlined predictive model using the top 10 most influential
social predictors. This streamlined model maintains high predictive accuracy while
reducing the complexity of variable selection, making it a practical tool for future
public health crises. Interestingly, although COVID-19-related adversity influenced
loneliness, only a few of those items were among the top 10 predictors. This suggests
that loneliness during the COVID-19 pandemic was primarily influenced by
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demographics (e.g., age, marital status, and education) rather than the immediate
effects of the crisis. While prior studies have largely examined demographics and
pandemic-related factors separately
41,49, our study integrates both perspectives and
demonstrates that demographics played a more dominant role in shaping loneliness
during COVID-19.
Strengths and Limitations
This study has strengths in four aspects. First, it utilized data from large,
nationally representative samples across 28 European countries, the US, and Israel,
allowing for robust cross-national comparisons. The harmonized structure of the HRS,
ELSA, and SHARE facilitated direct comparisons of loneliness predictors across
different sociocultural contexts. Second, it used a comprehensive set of life-course
social predictors and identified their contributions to loneliness, not only including
well-established factors identified in prior research but also exploring lesser-studied
factors such as childhood circumstances that may contribute to later-life loneliness.
This can provide insights for creating targeted measures to reduce the loneliness of
vulnerable older adults. Third, the application of ML models overcame the limitations
of traditional statistical models widely used in previous studies and hence provided us
with deeper understanding of dealing with loneliness. Fourth, we developed a
streamlined predictive model that maintains similar accuracy while reducing the
number of predictors. This streamlined approach advances the model’s usability for
practical applications in future public health crises.
However, there are still some limitations in this study. First, sociocultural factors
affecting how loneliness is reported may influence differences across regions. Second,
our study focuses on predictive modeling rather than causal inference, limiting our
ability to establish direct causal relationships between life-course social determinants
and loneliness. Third, our datasets are restricted to the early stage of the pandemic
(April to August 2020), which may not fully capture potential heterogeneity across
different phases of the pandemic. Additionally, our datasets used in this study are
from high-income countries, restricting the generalizability of our findings to
lower-income settings. Finally, although we incorporated a wide range of life-course
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predictors, data availability and the need for cross-national comparability meant that
some important factors remained unmeasured—for example, race, which may be
particularly relevant in the US and could reduce the predictive performance of the ML
model in this context
47.
5. Conclusion
In conclusion, our findings indicate the importance of life-course social
determinants in shaping loneliness in late life and emphasize the significance of
context-sensitive interventions. While some early-life factors are not directly
modifiable, they can serve as important indicators for identifying individuals who
may be particularly vulnerable to loneliness. By identifying key predictors across
various national contexts, this study highlights the need for tailored prevention
strategies and broader efforts to identify and support high-risk segments of the
population to address loneliness, especially in anticipation of future public health
crises. Future research should explore the causal pathways underlying these
associations and expand this research to diverse global contexts to ensure that
loneliness prevention measures are effective and equitable.
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Tables
Table 1. Demographic characteristics and loneliness of study participants
HRS ELSA SHARE
Loneliness
(Ref. = No)
1,317 (46%) 1,295 (27%) 12,187 (31%)
Gender
(Ref. = Man)
1,703 (60%) 2,603 (55%) 22,445 (57%)
Being married or partnered
(Ref. = No)
1,685 (59%) 3,362 (71%) 23,714 (60%)
Age (SD) 75.40 (7.50) 73.96 (6.55) 74.63 (7.04)
Note: Values are presented as n (%) unless otherwise indicated. n indicates the sample size and % indicates
the proportion within each dataset. Age is shown as mean (standard deviation, SD). “Ref.” indicates the
Reference
category.
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Figure 1. Process of sample selection
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Figure 2. Process of model development
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Figure 3. Predictive performance of ML models in this study
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Figure 4. Importance of life-course social predictors for loneliness
Note: SHAP values indicate the magnitude and direction of these associations, with blue points meaning lower
values and red points meaning higher values for the conditions on the horizontal axis. They show the importance
ranking on the vertical axis, with higher values meaning higher importance. Additionally, the distribution and
clustering of SHAP values along the x-axis means potential non-linear relationships between each predictor and
the outcome, indicating that the impact on the outcome is not constant.
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Figure 5. SHAP dependency plots for age or education levels and loneliness
Note: The x-axis represents different levels of age or education, while the y-axis indicates the SHAP values, which
quantify the contribution of each age or education level to loneliness. Higher SHAP values mean a stronger
positive impact on loneliness.
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Figure 6. Predictive performance of ML models using full predictors and top 10 predictors
Note: In the HRS dataset, the top 10 predictors include: marital status, pre-pandemic household income, age,
mother education levels, education levels, delaying medical care during the pandemic, gender, father education
levels, breadwinner occupation during childhood, anyone died from COVID-19; in the ELSA dataset, the top 10
predictors include: marital status, gender, delaying medical care during the pandemic, receiving public pensions
before the pandemic, household income before the pandemic, education levels, drinking alcohol, breadwinner
occupation during childhood, age, father education levels; in the SHARE dataset, the top 10 predictors include:
marital status, pre-pandemic household income, age, gender, education levels, delaying medical care during the
pandemic, postponing bills during the pandemic, mother education levels, father education levels, drinking alcohol.
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is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity. (which was not certified by peer review)
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