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Dieser Artikel geht auf die entscheidende Rolle sozialer Netzwerke bei der Verbesserung des individuellen Wohlergehens und des gesellschaftlichen Zusammenhalts ein und konzentriert sich auf das Konzept des Sozialkapitals. Sie untersucht Längsschnittdaten aus Deutschland, der Schweiz und Großbritannien, um Trends beim Sozialkapital der letzten zwei Jahrzehnte zu bewerten und zeigt eine stabile durchschnittliche Anzahl enger Freunde trotz jüngster gesellschaftlicher Veränderungen, einschließlich der COVID-19-Pandemie. Die Studie verwendet fortgeschrittene Panel-Regressionsmodelle, um einen kleinen, aber robusten positiven Effekt der Anzahl enger Freunde auf die Lebenszufriedenheit nachzuweisen und die Bedeutung sozialer Verbindungen für das subjektive Wohlbefinden hervorzuheben. Die Forschung befasst sich auch mit methodischen Herausforderungen wie Selektionsverzerrungen und Feedback-Mechanismen und liefert so ein differenziertes Verständnis der Beziehung zwischen sozialen Netzwerken und Glück. Darüber hinaus werden die Implikationen für die Sozial- und Gesundheitspolitik diskutiert, was darauf hindeutet, dass die Förderung sozialer Bindungen durch Gemeinschaftsinitiativen und die Unterstützung sozialer Aktivitäten das allgemeine Wohlergehen verbessern kann. Der Artikel schließt mit der Forderung nach weiterer Forschung, um alternative Messgrößen des Sozialkapitals und ihre Auswirkungen auf die Lebenszufriedenheit zu erforschen.
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Abstract
Most studies regarding the effect of social capital on subjective well-being suggest that having friends makes us happier and healthier. However, causal evidence exploiting individual-level national panel data and utilizing rigorous modelling approaches is scarce. In this paper, we pursue three goals. First, we replicate the findings of the previous literature by applying fixed effects (FE) models to three major European panel datasets (German Socio-Economic Panel, Swiss Household Panel, and the United Kingdom Household Longitudinal Study) following a rigorous modeling approach only controlling for potential confounders. Secondly, we enhance the literature by accounting for the potential influence of unobserved individual time-constant and time-varying heterogeneity by using random trend models (fixed effects with individual slopes (FEIS)). Thirdly, we inspect the impact of feedback by applying first-difference (FD) models. The results of FE, FEIS, and FD models show that the number of friends has a small positive effect on life satisfaction, confirming previous findings. Our study provides robust evidence and may be useful for social and public health policies tailored to the enhancement of social capital to promote subjective well-being.
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1 Introduction
Many studies suggest that having friends and being embedded into social networks is important for individuals’ life satisfaction (e.g. Bartolini & Sarracino, 2014; Rodríguez-Pose & Berlepsch, 2014) and subjective health (e.g. Arezzo & Guidici, 2017; Giordano & Lindstrom, 2010; Oshio, 2016; Rodgers et al., 2019; Xue et al., 2020). A network of friends is an important component of social capital. According to a widely used definition, social capital refers to “the aggregate of the actual or potential resources which are linked to possession of a durable network of more or less institutionalized relationships of mutual acquaintance or recognition” (Bourdieu, 1986: 248; for similar definitions see also Coleman, 1988, 1990, and Putnam, 1995, 2000). Social capital is not only important for individuals’ well-being, but also for societies as a whole, since it supports solidarity and social cohesion. Social capital can also contribute to economic prosperity and the functioning of democracy (e.g. Franzen & Botzen, 2011; Jungbauer-Gans, 2002; Putnam, 2000). In his famous publication “Bowling alone”, Robert D. Putnam (1995) diagnosed a general decline in social capital in the United States of America since the 1960s. His results were much discussed and partly refuted by more recent studies (e.g., Clark, 2015; Jungbauer-Gans, 2002; Paxton, 1999). However, modern societies face the threat of a decline in the density of social relations. This tendency is due to various developments. First, most modern societies face a decline in the size and stability of family relations, e.g. declining fertility rates and increasing divorce rates. Smaller familial networks and the stress of family dissolution often also reduce other network relations. Second, growing prosperity leads to more and more single-person households, since individuals can increasingly afford to live by themselves. Third, the digitalization of society provides the possibility of working more flexibly from a home-based office. Digitalization can also increase the amount of time spent on social media and may prevent individuals, particularly the younger generations, from spending their leisure time with real social contacts (e.g. Franzen, 2000). All of these developments have the potential to decrease personal face-to-face contacts and hence may reduce individuals’ social networks. Last, but not least, many countries implemented social distancing policies in response to the COVID-19 pandemic, which may also have resulted in a decrease in social capital. The pandemic and the policies reducing social contacts ended in 2021, but they might nevertheless have left a scar in individuals’ social networks.
The purpose of this study is twofold. First, we provide an update on the development of social capital in Germany, Switzerland, and the United Kingdom. These countries have launched longitudinal studies that track some aspects of individuals’ social networks, such as the number of close friends, for more than two decades. We are particularly interested in whether there is a trend towards smaller networks visible in the data, particularly in the aftermath of the COVID-19 pandemic. Second, we investigate whether social networks contribute to individuals’ well-being. Most studies on the effect of social capital on subjective well-being suggest that a network of close friends increases life satisfaction (e.g., Lucchini et al., 2015) and makes people healthier (Rodgers et al., 2019). There are several reasons why friends should increase subjective well-being. First, the search for social approval is a fundamental need of humans. This notion dates back to Adam Smith (1759) and is mirrored by many scholars, for instance by Abraham Maslow (1942). Friends are one important way to attain this warm glow of social contact and social approval. Positive social contacts cause physiological reactions like the production of oxytocin, and endorphins. These hormones increase individuals’ subjective well-being (Colonnello et al., 2017). Second, friends, and particularly close friends, provide social support, both emotionally and practically (Coleman, 1988; Pancheva & Vásquez, 2022). This includes many relevant realms like education, economic success and physical and mental health and thereby increases subjective well-being through many different mechanisms. However, there are only a few studies exploiting individual-level national panel data and utilizing causal modeling approaches. More precisely, there are only two studies on the effect of network resources on life satisfaction using general population panel data and applying fixed effects regression models (Lucchini et al., 2015 for Switzerland, Pancheva & Vásquez, 2022 for the United States of America).
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Lucchini et al. (2015) use yearly data of the Swiss Household Panel (SHP) from 2002 to 2009 and apply fixed effects (FE) panel regression models to account for selection on time-constant individual unobservables. The authors follow a y-centered, so-called “kitchen sink” approach including more than 30 parameters to “control” for many factors that may be associated with happiness. Though widely used, this procedure may induce an overcontrol bias, because the models do not only include potentially confounding factors, but also colliders (e.g., Morgan & Winship, 2014). Lucchini et al. (2015) find that a doubling in the number of close friends increases life satisfaction (measured on an 11-point-scale from 0 “not at all satisfied” to 10 “completely satisfied”) by 0.05 scale points for men and 0.08 scale points for women.
Pancheva and Vásquez (2022) use three waves (1995/1996, 2004/2005, and 2012/2013) from the “Midlife in the U.S.” (MIDUS) panel study and apply FE models. The authors follow an x-centered approach and cover many dimensions of social capital. In general, Pancheva and Vásquez (2022) find that some indicators of social capital are associated with life satisfaction, while the frequency of contact with friends is not related to it. However, their study does not analyze the effect of the number of close friends. Moreover, it is limited regarding the number of surveyed years (three), which may be an explanation for the absence of a substantial effect of the frequency of contact with friends in their analysis.
Furthermore, both studies (Lucchini et al., 2015; Pancheva & Vásquez, 2022) do not adequately account for potential bias introduced by selection on growth or by feedback processes. In this study, we address these shortcomings. We demonstrate that the average number of close friends has been relatively stable in the three European countries Switzerland (CH), Germany (DE), and the United Kingdom (UK) over the past two decades. Furthermore, using national individual-level panel data (German Socio-economic Panel (GSOEP), Swiss Household Panel (SHP), and United Kingdom Household Longitudinal Study (UKHLS)), we show that the number of friends has a small but robust positive effect on happiness. To better identify causal effects, we apply panel regression models that account for the potential influence of unobserved individual time-constant heterogeneity (FE models) and time-varying heterogeneity (fixed effects with individual slopes (FEIS) models) as well as feedback processes (first-difference (FD) models).
The remainder of this paper proceeds as follows: Section two describes the data used and the methods applied. Section 3 presents the results of the data analyses. Finally, Sect. 4 concludes and discusses the results.
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2 Methods and data
2.1 Methods
To account for the potential influence of unobserved individual time-constant heterogeneity, which may bias the estimate of the effect of the number of friends on life satisfaction, we apply a standard fixed effects (FE) panel regression model (e.g., Brüderl & Ludwig, 2015; Wooldridge, 2010). In this FE model individual changes in life satisfaction (from the mean) over time are regressed on the individual changes in the independent variables. The model can be written as
yit denotes the life satisfaction of individual i in year t. \({\overline{y} }_{i}\) denotes the individuals’ average for the whole observation period. xit denotes the vector of all exogenous variables for individual i in time t, and \({\overline{{\varvec{x}}} }_{i}\) the averages for the whole observation period. \({\varvec{\beta}}\) represents the vector of the effects of x. \(\varepsilon\)it refers to an individual’s time varying stochastic error term. Pooled OLS-regression (POLS) on these ‘demeaned’ data delivers the FE-estimator. The FE model given in Eq. (1) has the advantage of taking only the variation within individuals over time into account. Any unobserved differences between individuals \({\alpha }_{i}\) (random effects assumption) therefore, cannot bias the estimator. Under the assumption that xit and \(\varepsilon\)it are not correlated (strict exogeneity) a FE model is an adequate statistical tool to estimate the unbiased causal effect of the independent variables x on y. The assumption is violated if there are measurement errors in xit, unaccounted period effects (external shocks), omitted variables that are correlated with y and x, such as heterogeneous trends, or if feedback processes are at work. We account for possible period effects by including time dummies in our FE models.
To address the potential bias in FE induced by heterogeneous trends, i.e., unobserved individual time-varying heterogeneity through selection on growth, we use fixed effects with individual slopes (FEIS) models (e.g., Rüttenauer & Ludwig, 2020; Wooldridge, 2010). For example, some individuals who experience quickly increasing happiness, might select into having more friends as compared to individuals who experience slower increases in happiness. Ignoring these different individual trends biases the FE estimation. The FEIS model is based on a random trend model, which can be written as
where \({\alpha }_{1,i}\) denotes the individual differences in the growth paths of y over time. \({\alpha }_{2,i}t\) stands for the individual time-varying unobserved heterogeneity, and \({\xi }_{i,t}\) is the idiosyncratic error term. In the FE model \({\alpha }_{2,i}t\) is part of the idiosyncratic error term \({\varepsilon }_{i,t}={\alpha }_{2,i}t+{\xi }_{i,t}\). Through detrending of the data, \({\alpha }_{2,i}t\) is eliminated and hence selection on growth via t cannot bias the estimation.
with estimated individual growth curves \(\widehat{{y}_{i,t}}=\widehat{{\alpha }_{1,i}}+\widehat{{\alpha }_{2,i}}t\). Analogously, xit are detrended as well. POLS on the detrended data delivers the FEIS estimator. Hence, FEIS underlies a less strict exogeneity assumption than FE: \(E\left({\xi }_{i,s}|{x}_{i,t}\right)=0\) for all t and s. Detrending requires that the minimum number of observations per individual \(T\ge 3\).
Furthermore, using first-difference (FD) models (e.g. Wooldridge, 2010), we take into account that feedback mechanisms may bias FE estimation. Feedback describes the process when happiness in time t influences the number of friends (x) in t + 1, which in turn exerts an effect on happiness (y) in t + 1, which affects the number of friends in t + 2 and so on, formal as a directed acyclic graph (DAG):
Feedback may be plausible in this application, simply because individuals like to be in contact with happier individuals due to their positivity. Like FE, the FD model eliminates the RE assumption \({\alpha }_{i}\), but unlike FE, FD uses the difference transformation, i.e., FD only uses the observations right before, and right after the treatment which refers to the change in the number of friends. The model can be written as
POLS on these data delivers the FD estimator. It underlies the sequential exogeneity assumption \(E\left({\varepsilon }_{i,s}|{x}_{i,t}\right)=0\) with t ≤ s. The sequential exogeneity assumption is less strict than the strict exogeneity assumption in FE. Thus, FD is unbiased in case of feedback, unlike FE.
All models contain dummy variables for age and the survey years except for FEIS, which implicitly controls for age and panel wave. We apply a rigorous x-centered approach that only includes potential confounders as control variables (e.g. Morgan & Winship, 2014), i.e. all variables that have a theoretical foundation as being antecedents of both social capital and subjective well-being. This approach ensures that the effect of the main independent variable is not biased by the (theoretically agnostic) inclusion of further characteristics, which might be mediators or even colliders (ibid.) or induce overcontrol bias – a still widespread practice commonly referred to as “kitchen sink” approach. Following the considerations of Pancheva and Vásquez (2022), we include the following time-varying characteristics as factors potentially confounding the effect of the number of close friends on subjective well-being: subjective health status, generalized trust, number of own children, income (natural logarithm), partnership status, and employment status. The DAG in Fig. 1 below visualizes our theoretical assumptions.
Fig. 1
Directed acyclic graph (DAG) of the effect of the number of close friends on life satisfaction
We exploit the most recent releases of three well-established European national population-wide individual-level panel survey studies: the German Socio-economic Panel (SOEP, 2023; N = 761′922, n = 104′683, 1984–2021), the Swiss Household Panel (SHP, 2023; N = 954′366, n = 45′446, 2000–2022), and the United Kingdom Household Longitudinal Study (University of Essex, 2023; N = 469′713, n = 79′525, 2010–2023). These panels provide yearly information on the dependent variable (life satisfaction) and have been regularly surveying the number of close friends (the central independent variable) since the beginning of the 2000s. The GSOEP, SHP, and UKHLS use compatible operationalizations of these central characteristics (see Table 1 for a detailed description of the measurement of life satisfaction and the number of close friends. The confounding variables are described in the appendix in Table 2). All three panels include a widely accepted and valid single-item measure to capture general life satisfaction / subjective well-being (e.g., Diener et al., 2013) asking directly how satisfied subjects are with their life in general. The GSOEP and the SHP use an 11-point Likert scale from ‘not at all satisfied’ to ‘completely satisfied’, while the UKHLS contains a 7-point scale. Hence, to be able to compare the effect sizes of the number of close friends between the surveys, life satisfaction enters the regressions z-standardized, i.e. with mean = 0 and sd = 1.
Table 1
Description of the central variables
Variable
Data
Mean
Within (\({\overline{x} }_{i}\))
Between (\({x}_{it}- {\overline{x} }_{i}+ \overline{\overline{x}})\)
N (n x T)
n
Description/Question wording
Sd
Min
Max
Sd
Min
Max
Life satisfaction
GSOEP
7.16
1.25
− 2.29
14.84
1.52
0
10
755,835
103,858
How satisfied are you with your life, all things considered?
(11-point Likert scale)
SHP
8.06
0.92
− 1.39
14.73
1.27
0
10
169,130
27,435
In general, how satisfied are you with your life, if 0 means “not at all satisfied” and 10 means “completely satisfied”?
(11-point Likert scale)
UKHLS
5.17
1.04
− 0.33
10.37
1.17
1
7
410,651
70,503
How dissatisfied or satisfied are you with your life overall?
(7-points Likert scale)
Number of close friends
GSOEP
4.28
2.32
− 61.72
132.28
4.61
0
500
212,827
66,512
What would you say: How many close friends do you have? (open numeric)
SHP
5.12
3.64
− 79.88
285.12
3.74
0
115
111,004
25,040
How many good and close friends do you have? (until 2010 open numeric, from 2013 in categories; category values were replaced by category means of close friends)
UKHLS
5.26
3.67
− 224.08
369.92
5.45
0
500
133,097
59,745
How many close friends would you say you have? (open numeric)
GSOEP: German socio-economic panel; SHP: Swiss household panel; UKHLS: United Kingdom household longitudinal study; N: number of observations; n: number of individuals N
In our study we follow the definition of social capital by Bourdieu (1986), and operationalize it by the number of close friends as an essential characteristic. This variable is captured quite similarly in all three surveys asking subjects directly to insert the number of close friends they have (open numeric question). In the GSOEP this information is available for the years 2003, 2008, 2011, 2013, 2015, 2017, 2018, 2020, and 2021. The SHP provides this number yearly from 2002 to 2010, and for 2013, 2016, 2019, and 2022. The UKHLS has yearly information on the number of close friends from 2011 to 2022 (see Fig. 2). The number of close friends enters the models using its natural logarithm (+ 1), because we expect a marginally decreasing utility of each additional friend on life satisfaction, which is in line with the previous literature (e.g., Lucchini et al., 2015). Hence, the interpretation of the effect of friends on happiness in this level-log model is as follows: For each increase in the number of close friends by one percent, life satisfaction changes by β/100 units. So, a doubling (a 100% increase) in the number of friends yields a change in happiness by β units.
Fig. 2
The evolution of the number of close friends in Switzerland, Germany, and the United Kingdom. Note: Averages are sample-weighted using cross-sectional weights except for UKHLS, which does not provide weights for calendar years (but only for survey waves which comprise several calendar years). The areas around the averages denote 95% confidence intervals
As Table 1 shows, there is enough within-subject variation in both life satisfaction and the number of close friends in all three datasets to apply the regression models explained above. As described above, we include the following time-varying characteristics as confounders: subjective health status, generalized trust, number of own children, income, partnership status, and employment status (see Table 2 for a detailed description). The models further contain dummy variables for age to perfectly control for the confounding effect of ageing. Moreover, the models include dummies for the survey years to eliminate period effects. FEIS models do not include age and period dummies, because they implicitly control for age and panel waves. The three samples are restricted to persons with information available for at least three years and aged between 18 and 65, i.e. covering the so-called active populations. This restriction has the advantage of avoiding self-selection within the elderly and keeping the three samples more homogeneous and more comparable.
3 Results
Figure 2 demonstrates that the average number of close friends in Germany, Switzerland, and the United Kingdom has been relatively stable during the past two decades lying at around five for Switzerland and the UK, and between four and five for Germany. Hence, we do not find evidence that social capital as measured by the number of close friends declined in these three European countries.
Applying the explained FE, FEIS, and FD models we consistently observe a small but robust positive effect of the number of close friends on happiness (see Fig. 3 and Table 3). The effect is highest for the GSOEP followed by the UKHLS, and lowest for the SHP. A doubling in the number of close friends in Germany yields an increase in life satisfaction of 0.11 standard deviations (sd). This is a very small effect. In the United Kingdom a doubling in the number of friends increases subjective well-being by 0.08 sd and in Switzerland this effect is only half the size (0.04 sd for each doubling of friends).
Fig. 3
Regressions of life satisfaction on the number of friends in DE, CH, and UK. Note: Coefficient plots of regression coefficients including person-clustered 95% confidence intervals. All models contain dummy variables for age and the survey years except for FEIS, which implicitly controls for age and panel wave. The samples are restricted to respondents with information available for at least three years and aged between 18 and 65. All models control for health status, trust (except for UKHLS), own kids, income, partnership status, and employment status. FE: fixed effects; FEIS: fixed effects with individual slopes; FD: first difference; SHP: Swiss household panel; GSOEP: German socio-economic panel; UKHLS: United Kingdom household longitudinal study. For the detailed results of the models see Table 3 in the appendix
These effects remain stable in size and statistical significance when applying FEIS or FD instead of FE models. The only exception is the UKHLS, where the effect in the FEIS model is less than half the size of the effect in the FE model (0.03 n.s. vs 0.08***). Hence, the results show that selection on growth and feedback do not substantially affect the relation between the number of friends and life satisfaction. Only in the UK there seems to be an influence of selection on growth. Hence, individuals in the UK with a steeper happiness trend may select into having more friends as compared to subjects with a less steep happiness trend.
To investigate the robustness of these results, we analysed the potential influence of an omitted variable bias from selection on observables following the procedure by Young and Holsteen (2017), which also includes models with no confounders, and from both selection on observables and unobservables following the procedure suggested by Frank (2000). Neither test shows that the inference presented in Fig. 3 is substantially affected by selection on observables or unobservables. Furthermore, we recalculated all models excluding the variable health, because it might be a mediator biasing the estimate of the total effect of friends on life satisfaction. However, the estimation results do not differ substantially. Hence, health is not a mediator in our samples. In order to mitigate potential bias induced by influential cases, we reran all models limiting the value range of the number of close friends between 1 and 20. Limiting the distribution does not affect the results in any substantial way. Furthermore, we also reanalysed all models using dummy variables for each number of friends instead of taking the natural logarithm. The resulting pattern confirms our assumption of a positive but marginally decreasing effect of the number of friends on life satisfaction. In addition, one might also be concerned with the question whether the effect of friendships is asymmetrical, meaning that gaining friends might affect life satisfaction differently from losing friends. To investigate this question, we used asymmetric fixed effects regressions (Allison, 2019). The results suggest that the effect is symmetric. The absolute effect size of gaining friends is the same as the absolute effect size of losing friends. We also analyzed the question whether there are gender differences in the effect of friends on happiness. For this so we calculated all models separately for men and women. We did not find any substantial differences.
4 Discussion and Conclusion
Our study reaffirms that social capital as measured by the number of close friends has not declined in Germany, Switzerland or the United Kingdom during the first two decades of the twenty-first century. Even the developments related to the COVID-19 pandemic between 2020 and 2022 with its deep repercussions on daily life and the widespread polarization of opinions regarding governmental regulations did not have an effect on the average number of friends (at least in the short run).
Furthermore, we provide robust evidence using FE, FEIS and FD models that social capital, measured by the number of close friends, increases life satisfaction. However, the effect is very small. For illustration, the immediate effect of a doubling in the number of friends in Germany (0.12) is about half the size of life events such as first partnership, and cohabitation, separation from partner, first marriage, and childbirth, about a fourth of the effect of unemployment, and less than a tenth of the effect of the death of the partner or of a child (GSOEP data; Krämer et al., 2025).
As the FD model results suggest, feedback does not seem to bias the estimate of the effect of friends on happiness. This does not eliminate the possibility of reverse causality due to other processes. The FD model only ensures the unbiased estimation of the effect of the friends on happiness due to feedback. Yet, selection on growth may be at work in the UKHLS population.
Nonetheless, there may be a methodological explanation for the smallness of the friends-happiness-effect. The number of friends that subjects report may partly be just “paper friends”, i.e., relatively close individuals, but with only sparse interaction. For example, it could well be that subjects count their former best classmates as friends, even if graduation is 20 years ago and if they meet them only once a year. Hence, if the number of friends also captures paper friends, the effect of friendship on happiness that we observe may be underestimated due to measurement error. Therefore, a better indicator to embrace the importance of friends for subjective well-being could be to also ask for the number of additional social contacts or weak ties or the “time spent with friends”. Albeit, data availability on this measure is very limited, which leaves this question open for future research. Another specious alternative for the number of friends may be the social (emotional and practical) support provided by friends. Yet, social support might be consequence of the number of friends (or the time spent with them) and hence might work as an explanation of the effect of the number of friends on life satisfaction. And again, data availability on social support of friends is limited.
In sum, our study extends and reaffirms previous work on the positive effect of social capital on subjective well-being. This may be useful for social and public health policies tailored to the enhancement of social capital to promote subjective well-being. Thus, the general well-being of a population would benefit from policies that support opportunities to meet other people and to form friendships. As already outlined by Robert Putnam (2000), the creation of social bonds is facilitated for example by associations such as social clubs, sports clubs, or cultural events. Communities could support such organizations by providing the infrastructure to foster social activities for example by community centers, and to encourage citizens to participate in social events
Declarations
Conflict of interest
The authors declare that they have no competing interests.
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Between (\({x}_{it}- {\overline{x} }_{i}+ \overline{\overline{x}})\)
N (n x T)
n
Description
Sd
Min
Max
Sd
Min
Max
Subjective health status
GSOEP
3.44
0.61
− 0.21
6.60
0.88
1
5
655,880
97,912
5-point scale from 1 not well at all to 5 very well
SHP
4.04
0.47
0.28
7.04
0.56
1
5
169,149
27,438
5-point scale from 1 not well at all to 5 very well
UKHLS
3.22
0.49
0.47
5.97
0.80
1
4
416,015
71,936
4-point scale from 1 poor to 4 very good or excellent
Generalized trust
GSOEP
2.68
0.34
0.68
4.93
0.64
1
4
97,381
54,295
4-point scale from 1 fully disagree to 4 fully agree
SHP
6.15
1.33
− 2.26
15.15
2.06
0
10
154,827
25,966
11-point scale from 0 can’t be too careful to 10 most people can be trusted
UKHLS
Not available
Own kid
GSOEP
0.90
0.54
− 7.10
12.29
1.19
0
12
628,741
95,775
Number of own children
SHP
1.47
0.32
− 5.96
9.91
1.30
0
10
169,699
29,805
UKHLS
0.56
0.39
− 4.60
6.69
0.93
0
7
463,831
79,194
Income
GSOEP
1.64
1.83
− 46.98
937.38
6.02
0
1700.00
723,616
101,470
Monthly equivalence income (Household net income (social security contributions on employment income deducted, before taxes) divided by the square root of the number of household members). In thousand national currencies
SHP
5.73
2.90
− 70.61
387.17
3.55
0
160.00
221,946
31,999
UKHLS
2.34
1.12
− 53.05
379.30
2.39
0
549.08
463,675
79,185
Partnership
GSOEP
0.44
0.30
− 0.53
1.41
0.44
0
1
274,035
52,746
Dummy, 1 if in partnership irrespective of co-habitation
SHP
0.74
0.23
− 0.21
1.70
0.41
0
1
168,914
27,371
UKHLS
0.76
0.19
− 0.16
1.67
0.39
0
1
467,931
79,395
Employment
GSOEP
0.93
0.19
− 0.05
1.88
0.24
0
1
732,032
99,361
Dummy, 1 if at least part-time employed
SHP
0.67
0.28
− 0.28
1.62
0.41
0
1
157,706
22,629
UKHLS
0.67
0.23
− 0.25
1.58
0.42
0
1
468,675
79,446
GSOEP: German socio-economic panel; SHP: Swiss household panel; UKHLS: United Kingdom household longitudinal study
Regressions of life satisfaction on the number of friends in DE, CH, and UK
Model
(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
Study
GSOEP (DE)
SHP (CH)
UKHLS (UK)
Dependent variable
General life satisfaction (z-standardized)
Model
FE
FEIS
FD
FE
FEIS
FD
FE
FEIS
FD
Log. nr. of close friends
0.11***
0.12**
0.12***
0.04***
0.04***
0.03**
0.08***
0.03
0.10***
(0.03)
(0.04)
(0.03)
(0.01)
(0.01)
(0.01)
(0.01)
(0.02)
(0.03)
Health
0.34***
0.33***
0.33***
0.23***
0.20***
0.18***
0.30***
0.18***
0.21***
(0.02)
(0.03)
(0.02)
(0.01)
(0.01)
(0.01)
(0.01)
(0.01)
(0.02)
Trust
0.11***
0.09**
0.10***
0.03***
0.02***
0.02***
(0.02)
(0.04)
(0.03)
(0.00)
(0.00)
(0.00)
Own kid
0.02
0.05
0.03
0.04**
0.02
0.03
0.01
0.00
0.02
(0.02)
(0.04)
(0.02)
(0.01)
(0.02)
(0.02)
(0.01)
(0.02)
(0.03)
Log. income
0.13***
0.13*
0.12**
0.10***
0.09***
0.07***
0.01
0.02
-0.01
(0.04)
(0.06)
(0.04)
(0.01)
(0.02)
(0.02)
(0.01)
(0.01)
(0.01)
Partnership
0.18***
0.19***
0.19***
0.26***
0.25***
0.22***
-0.02
-0.01
-0.11
(0.03)
(0.05)
(0.03)
(0.02)
(0.02)
(0.02)
(0.02)
(0.04)
(0.08)
Employment
0.30***
0.39***
0.38***
0.08***
0.09***
0.09***
0.17***
0.08*
0.03
(0.05)
(0.09)
(0.06)
(0.02)
(0.02)
(0.02)
(0.02)
(0.03)
(0.04)
n x T
6575
6575
4529
49,393
49,393
39,156
50,065
50,065
9721
N
1962
1962
1962
7231
7231
7153
15,855
15,855
3650
years incl
2003, 2008, 2013, 2018
2002–2010, 2013, 2016, 2019
2011–2022
* = p < 0.05, ** = p < 0.01, *** = p < 0.001. Regression coefficients with person-clustered standard errors in brackets. All models contain dummy variables for age and the survey years except for FEIS, which implicitly controls for age and panel wave. The samples are restricted to persons with information available for at least three years and aged between 18 and 65. FE: fixed effects; FEIS: fixed effects with individual slopes; FD: first difference; SHP: Swiss household panel; GSOEP: German socio-economic panel; UKHLS: United Kingdom household longitudinal study. The models for the GSOEP include observations up to 2018 and the models for the SHP include observations up to 2019, because some variables are missing for more recent waves
Allison, P. D. (2019). Asymmetric fixed-effects models for panel data. Socius,5, 1–12.CrossRef
Arezzo, M. F., & Giudici, C. (2017). Social capital and self perceived health among European older adults. Social Indicators Research,130, 665–685.CrossRef
Bartolini, S., & Sarracino, F. (2014). Happy for how long? How social capital and economic growth relate to happiness over time. Ecological Economics,108, 242–256.CrossRef
Bourdieu, P. (1986) ‘The forms of capital.’ In Handbook of theory and research for the sociology of education, John G Richardson (ed.). New York: Greenwood Press. pp. 241–58
Brüderl, J., & Ludwig, V. (2015). Fixed-effects panel regression. In H. Best & W. Christof (Eds.), The SAGE handbook of regression analysis and causal inference (1st ed., pp. 327–357). SAGE.
Clark, A. K. (2015). Rethinking the decline in social capital. American Politics Research,43, 569–601.CrossRef
Coleman, J. (1988). Social capital in the creation of human capital. American Journal of Sociology, Supplement: Organizations and Institutions: Sociological and Economic Approaches to the Analysis of Social Structure,94, 95–120.
Coleman, J. S. (1990). Foundations of social theory. Belknap Press.
Colonnello, V., Petrocchi, N., Farinelli, M., Ottaviani, C., & Cristina,. (2017). Positive social interactions in a lifespan perspective with a focus on opioidergic and oxytocinergic systems: Implications for neuroprotection. Current Neuropharmacology,15, 543–561.CrossRef
Diener, Ed., Inglehart, R., & Tay, L. (2013). Theory and validity of life satisfaction scales. Social Indicator Research,112, 497–527.CrossRef
Frank, K. A. (2000). Impact of a confounding variable on a regression coefficient. Sociological Methods & Research,29, 147–194.CrossRef
Franzen, A. (2000). Does the internet make us lonely? European Sociological Review,16, 427–438.CrossRef
Franzen, A., & Botzen, K. (2011). Vereine in Deutschland und ihr Beitrag zum Wohlstand der Regionen. Soziale Welt,62, 391–413.CrossRef
Giordano, G. N., & Lindstrom, M. (2010). The impact of changes in different aspects of social capital and material conditions on self-rated health over time: A longitudinal cohort study. Social Science & Medicine,70, 700–710.CrossRef
Jungbauer-Gans, M. (2002). Is social capital on the decline? Soziale Welt,53, 189–208.
Krämer, M. D., Rohrer, J. M., Lucas, R. E., & Richter, D. (2025). Life events and life satisfaction: Estimating effects of multiple life events in combined models. European Journal of Personality,39, 3–23. https://doi.org/10.1177/08902070241231017CrossRef
Lucchini, M., Bella, S. D., & Crivelli, L. (2015). Social capital and life satisfaction in Switzerland. International Journal of Happiness and Development,2, 250–268.CrossRef
Morgan, S. L., & Winship, C. (2014). Counterfactuals and causal inference. Methods and principles for social research (2nd ed.). Cambridge University Press.CrossRef
Oshio, T. (2016). The association between individual-level social capital and health: Cross-sectional, prospective cohort and fixed-effects models. Journal of Epidemiology and Community Health,70, 25–30.CrossRef
Pancheva, M. G., & Vásquez, A. (2022). Close to others—closer to happiness? An empirical investigation of the social determinants of subjective wellbeing. International Journal of Wellbeing,12, 206–232.CrossRef
Paxton, P. (1999). Is social capital declining in the United States? A multiple indicator assessment. American Journal of Sociology,105, 88–127.CrossRef
Putnam, R. D. (1995). Bowling alone: America‘s declining social capital. Journal of Democracy,6, 65–78.CrossRef
Putnam, R. (2000). Bowling alone: The collapse and revival of American community. Simon and Schuster.
Rodgers, J., Valuev, A. V., Hswen, Y., & Subramanian, S. V. (2019). Social capital and physical health: An updated review of the literature for 2007–2018. Social Science & Medicine,236, 112360.CrossRef
Rodríguez-Pose, A., & von Berlepsch, V. (2014). Social capital and individual happiness in Europe. Journal of Happiness Studies,15, 357–386.CrossRef
Rüttenauer, T., & Ludwig, V. (2020). Fixed effects individual slopes: Accounting and testing for heterogeneous effects in panel data or other multilevel models. Sociological Methods & Research,52, 43–84.CrossRef
University of Essex, Institute for Social and Economic Research. (2023). Understanding society: Waves 1-13, 2009-2022 and Harmonised BHPS: Waves 1-18, 1991-2009. 18th Edition. UK Data Service. SN: 6614, https://doi.org/10.5255/UKDA-SN-6614-19.
Wooldridge, J. M. (2010). Econometric analysis of cross section and panel data. MIT press.
Xue, X., Robert Reed, W., & Menclova, A. (2020). Social capital and health: A meta-analysis. Journal of Health Economics,72, 102317.CrossRef
Young, C., & Holsteen, K. (2017). Model uncertainty and robustness: A computational framework for multimodel analysis. Sociological Methods & Research,46, 3–40.CrossRef