Emigration, remittances, and the subjective well-being of those staying behind

We offer the first global perspective on the well-being consequences of emigration for those staying behind using several subjective well-being measures (evaluations of best possible life, positive affect, stress, and depression). Using the Gallup World Poll data for 114 countries during 2009–2011, we find that having family members abroad is associated with greater evaluative well-being and positive affect, and receiving remittances is linked with further increases in evaluative well-being, especially in poorer contexts—both across and within countries. We also document that having household members abroad is linked with increased stress and depression, which are not offset by remittances. The out-migration of family members appears less traumatic in countries where migration is more common, indicating that people in such contexts might be able to cope better with separation. Overall, subjective well-being measures, which reflect both material and non-material aspects of life, furnish additional insights and a well-rounded picture of the consequences of emigration on migrant family members staying behind relative to standard outcomes employed in the literature, such as the left-behind’s consumption, income, or labor market outcomes.


Introduction
Owing to high migration costs, strict migration policies, and uncertain conditions at the destination, international migrants often leave family members in the countries of origin (Démurger 2015). The literature shows that migration and remittances can affect various socio-economic outcomes among those left behind, such as poverty and income (Adams 2011;Gibson et al. 2011), education (Antman 2012;Cortes 2015;Kroeger and Anderson 2014;Yang 2008), and health (Antman 2010;Böhme et al. 2015;Gibson et al. 2011;Kroeger and Anderson, 2014). Migrants can also change norms, attitudes, and behaviors back home. Examples of such non-monetary, or social (Levitt 1998), remittances include the effects of emigration on political participation (Chauvet and Mercier 2014), corruption behavior (Ivlevs and King 2017), fertility (Beine et al. 2013), and civic engagement (Nikolova et al. 2017). While not all studies point to superior socio-economic, behavioral, and health outcomes for those left behind, migration and remittances have been increasingly recognized as important development tools for the origin countries (Skeldon 2008;UNDP 2009).
There has recently been increasing academic and policy interest in the subjective well-being consequences of migration for household members staying behind in the origin country. The literature has mainly focused on children, their caregivers, and the elderly, with the results varying depending on the nature of migration (internal or international), who is left behind (e.g., children vs. parents), the outcome measure and the analysis country or countries. For example, Dreby (2015) and Wu et al. (2015) document greater feelings of resentment and depression among children of emigrant parents in Mexico and China, while Vanore et al. (2015) find that parental outmigration is unassociated with children's emotional well-being (an index based on information on the feelings of worry, unhappiness, nervousness, and fear) as well as conduct problems in Moldova. A study on Ghana, Angola, and Nigeria  reveals that changing caregivers due to the out-migration of family members negatively affects children's psychological well-being (a composite measure of psychological distress derived from the Strength and Difficulties Questionnaire (Goodman 1997)); in addition, the type of migration (internal or international) and which parent migrates matters in some country contexts but not others. Fathers' migration is associated with children's conduct problems in Thailand and Moldova (E. Graham and Jordan 2011;Vanore et al. 2015) but not in China, where father-only migration is linked with a lower likelihood of problem behaviors among children (Wen et al. 2015).
Looking at the mental health of migrant children caregivers in South-East Asia, E.  find that mothers whose partners have migrated are more likely to suffer from poor mental health (measured using an index based on self-reported emotional distress, including nervousness, difficulty in making decisions, suicidal thoughts, tiredness, headaches, and poor appetite) than mothers from non-migrant households. Similarly, Nobles et al. (2015) document increased sadness, crying, and difficulty sleeping among the stay-behind mothers in Mexico. The mental health of the elderly parents was found to deteriorate after the migration of children in China and South Africa (Marchetti-Mercer 2012;Scheffel and Zhang 2015;Xie et al. 2014). The evidence for Thailand is more mixed, with Adhikari et al. (2011) reporting a negative association and Abas et al. (2009) finding the opposite. Providing causal estimates is a common challenge (Démurger 2015), and the few studies explicitly addressing causality (Böhme et al. 2015;Gibson et al. 2011;Waidler et al. 2016) find that emigration has no effect on the mental health (captured by various indicators, including an index of feeling happy, peaceful, tense, blue and downhearted, and feeling depressed) of the elderly staying behind in Moldova and Tonga. 1 An emerging literature has considered the well-being consequences of receiving migrant remittances from abroad (which we define as transfers of money and goods made by migrants to the family members back home; henceforth, remittances). 2 For example, remittance receipt is positively associated with life satisfaction in Latin America, possibly through increasing financial security (Cárdenas et al. 2009). Borraz et al. (2010) find that migrant and non-migrant households experience similar happiness levels, arguing that remittances compensate migrant households for the pain of separation and the disruption of family life. Gartaula et al. (2012) find that Nepalese women in remittance-receiving households experience improvements in objective wellbeing (economic situation, access to food and water, child education, etc.) but not necessarily subjective well-being (feeling separated from partner, feeling overburdened with work, problems with disciplining children, stricter control from parents-in-law). Investigating rural-migrant migration in China, Akay et al. (2016) document that remittance income is positively associated with mental health (as measured by the GHQ-12 questionnaire) among the left behinds of rural-to-urban migrants but having one or more migrant workers in the family is negatively associated with mental health.
With some exceptions (Cárdenas et al. 2009; E. Graham and Jordan 2011;E. Graham et al. 2015;Mazzucato et al. 2015), the existing evidence has focused on data from a single-and predominantly low or lower-middle-income-origin country, leaving the heterogeneity in the relationship between emigration and the well-being of those staying behind unexplored across diverse countries of origin. This paper fills this knowledge gap by studying emigration's well-being consequences in a wide range of origin countries, including high-income countries, and using several subjective wellbeing dimensions, which has not been previously done in the literature. In particular, the term "subjective well-being" refers to both hedonic (i.e., affective) and cognitive (i.e., evaluative) dimensions of well-being. Positive hedonic well-being encompasses positive feelings at a particular point in time such as joy and happiness. Negative hedonic well-being includes experiences of stress, anger, sadness or worry at a particular point in time. 3 In contrast, evaluative well-being is an overall cognitive reflective assessment of the respondent's life as a whole. Evaluative well-being usually reflects people's capabilities, means, and long-term opportunities . This dimension is typically measured using general life satisfaction questions or the Cantril ladder of life question, whereby respondents rate their current life on an 11-point scale, where 0 represents their worst possible life and 10 corresponds to the best possible life that they can imagine for themselves. 4 Assessing to what extent one's life is the best possible one can imagine for her/himself requires a thorough evaluation of past and present life circumstances. By contrast, hedonic experiences indicate emotions and moods triggered by pleasant and unpleasant daily experiences such as commuting, minor health conditions such as having a cold, spending time with family or friends, or reading a funny book. As explained in Section 2.2, in this paper we utilize four subjective well-being outcome variables. First, our evaluative well-being proxy is based on the Cantril ladder of life question (best possible life (BPL)). The rest of our dependent variables capture hedonic well-being dimensions, which reflect short-term positive and negative moods related to daily lives and activities.
Relying on Gallup World Poll data and evaluative and hedonic well-being measures, we ask the following questions: what is the relationship between the out-migration of family members and different subjective well-being dimensions of household members staying behind? Do income levels-both between and within countries-affect this relationship? What is the role played by remittances?
Finding answers to these questions is important from a policy perspective for the following reasons. First, subjective well-being relates to the notion that how people experience a set of objective circumstances may be just as important as those circumstances themselves and that individuals are the best judges of how their lives are going (OECD 2011). By reflecting both objective and perceived circumstances, subjective well-being is an integrated representation of individual welfare. Unsurprisingly, governments around the world are increasingly complementing objective welfare metrics with subjective well-being outcomes such as life satisfaction and happiness to assess individual welfare and societal progress and guide policy-making (O'Donnell 2013; OECD 2013; Office for National Statistics 2013). In the context of our study, subjective measures allow us to draw a more rounded picture of the effects of emigration on migrant family members staying behind than by simply looking at the left-behind's consumption, income, or labor market responses. Second, subjective well-being is important to policy-makers as it has a number of objective benefits. For example, higher subjective well-being levels are linked with better physical health and longevity, given that happier people live longer, have better cardiovascular and immune systems, recover quicker from illnesses, exercise more, have better eating habits, and are less likely to adopt risky health behaviors (De Neve et al. 2013;Diener and Chan 2011;Howell et al. 2007;Sabatini 2014). Happier people also have greater social skills and are more productive, creative and motivated in the workplace (De Neve et al. 2013;Oswald et al. 2015).
We argue that the emigration of household members can be linked with multipleoften conflicting-subjective well-being states among those staying behind. For example, the pain of separation from family members could provoke increased stress and depression (i.e., negative hedonic components of subjective well-being), possibly more so in countries where emigration is less common and people have not developed mechanisms to deal with separation. The out-migration of a family member who was helping through market or household production at home could also lead to family disruptions and thus lower subjective well-being (Borraz et al. 2010). At the same time, knowing that family members have more opportunities and realize their potential though emigration could result in greater life satisfaction and more positive life evaluations (i.e., cognitive components of subjective well-being). In other words, the left behind family member could have altruistic feelings towards the migrant, who may be leading a better life abroad. Many migrants send home money, which could compensate for any negative separation effects through increasing income and opportunities, as well as reducing vulnerabilities, and thus boosting subjective well-being. This conjecture is supported by the New Economics of Labor Migration (NELM) framework, according to which households send migrants abroad with a prospect of receiving remittances that would subsequently be used to invest in new activities or insure against risks (Taylor 1999). One could thus expect a positive link between remittance receipt and well-being (through increased capabilities and greater security), especially in poorer countries, where credit and insurance markets perform less well, as well as among poorer households, who may face greater obstacles in securing credit and insurance through formal channels.
To furnish a global perspective of the relationship between emigration and the subjective well-being of household members staying behind, we use data from the Gallup World Poll (GWP), which include several subjective well-being questions and information on whether the respondent has household members abroad who left in the past five years. Our analysis sample spans 114 countries, allowing us to uncover both the common trends in a set of varied countries and differences across country groups.
Our study contributes to the scholarly dialog and the burgeoning literature on the well-being of those staying behind by providing a global perspective, i.e., exploring the subjective well-being consequences of emigration in a wide range of origin countries. 5 In this sense, this study is the first to furnish evidence on the well-being benefits and costs of emigration in high-income countries. Second, we contribute to the broader literature exploring the links between migration and subjective well-being (typically measured with life satisfaction and happiness). 6 While existing studies have examined the relationship between immigration and the subjective well-being of migrantreceiving populations (Akay et al. 2014a, 2017a, Betz and Simpson, 2013Ivlevs and Veliziotis 2018;Longhi 2014), the impact of home-country conditions on migrants' happiness abroad (Akay et al. 2017b), migration's consequences for migrants' subjective well-being , as well as the effects of subjective wellbeing on the decision to emigrate (Cai et al. 2014;Graham and Markowitz 2011;Ivlevs 2015;Otrachshenko and Popova 2014), we add to this literature by looking at the effects of emigration on the well-being of those staying behind in the countries of origin.

Data
The data in this paper are from the GWP, an annual global survey conducted since 2005/6 in about 160 countries worldwide, representing more than 99% of the world's civilian non-institutionalized population aged 15 and older. Polling approximately 1000 respondents in each country (with one respondent per household), Gallup asks a core set of questions using face-to-face or phone interviews (where telephone coverage is more than 80%). With few exceptions (e.g., when interview staff's safety is compromised), all samples are probability-based and nationally representative. 7 One key advantage of the GWP for the purposes of our analysis is that it collects subjective well-being data along several dimensions and according to the OECD Guidelines (2013).
Since 2009, Gallup has provided household income and employment information, and thus we use 2009 as the starting point for this analysis. Our analysis sample is also based on all available countries and years since 2009 with valid information on whether: (i) the members of the respondent's household have moved abroad permanently or temporarily in the past 5 years and are still there; and (ii) the respondent's household has received help in the form of money or goods from abroad in the past 1 year. While the first variable informs whether family members left in the past 5 years, we do not have information on the exact duration of the migration episode; furthermore, there is no information on the minimum amount of time that an individual should spend abroad to be considered a migrant. Other limitations of the emigration of family members variable-which we acknowledge but cannot correct-include the lack information on whether the migrant is abroad permanently or temporarily (e.g., circular migrant, temporary migrant, studying abroad) and what the exact familial relationship of the emigrant to the respondent is.
Our sample (N = 144,003) comprises 114 countries and spans the period 2009-2011 (some countries appear in all 3 years), with the majority (78%) of observations coming from 2009 (countries are listed in Table 12 in the Appendix). 8 In Section 3.2, we provide additional specifications for 2009 only, for the Western Balkan countries (which are the only country group appearing in all 3 years), and offering weighted regressions (using the inverse of the number of years in the regressions as a weight). 7 While Gallup polls approximately 1000 respondents in each country, large countries such as China and Russia are oversampled and have at least 2000 respondents, while Puerto Rico has only 500. All respondents in the same country use the same interview method (either phone or face-to-face). Any bias stemming from the interview method (phone or face-to-face) on providing answers to emotional well-being questions is accounted for by country-fixed effects in the analysis. The phone sample design is based on random-digit dialing. The Kish grid or last birthday method is used to select one respondent within each household. For in-person interviews, Gallup uses a three-stage sampling procedure, whereby 100-135 household clusters per country are selected in the first stage (independent of previous-year samples). The second stage involves random route procedures to select sampled households. In the third stage, respondents are randomly selected within households using the Kish grid method, with only one respondent answering the questionnaire in each household. Gallup researchers re-weigh the data by adult household size to account for the lower probability of being in the sample for respondents in larger households. Gallup researchers also use post-stratification weights by age, gender and-where available-education and socio-economic status to ensure national representativeness. However, it is possible that the samples do not reflect the ethnic composition of the underlying populations, especially in ethnically diverse countries; given that Gallup does not report an ethnicity variable, we cannot check whether the national samples are representative of ethnic diversity. 8 While the Gallup World Poll started in 2005/6, remittance receipt, income, and employment status are only available starting in 2009. Moreover, the question on whether the respondent has family members abroad who left in the last 5 years is only available for 2007-2011. Therefore, the sample that contains all information we require for this analysis is 2009-2011.

Dependent variables
As subjective well-being is a multidimensional construct (OECD, 2013), we use four individual-level outcome variables, which has not been previously done in the literature on the well-being consequences of emigration for the left behind. Evaluative well-being is based on a question on the best possible life (BPL), whereby respondents are asked to evaluate their current life on a ladder from 0 (worst possible) to 10 (best possible that life they can imagine for themselves). In contrast to this evaluative subjective wellbeing dimension, the rest of our dependent variables capture hedonic well-being dimensions, which reflect short-term positive and negative moods related to daily lives and activities. Specifically, using principal component analysis, we construct a positive affect index, which is the first principal component of three binary variables capturing the experience of joy, happiness, and smiling the day before the interview. To be consistent with the evaluative well-being (BPL) measure, we re-scale the index-which captures positive hedonic well-being-to range from 0 to 10. Next, we include two separate binary variables capturing the experience of stress and depression. We refrain from constructing a negative affect index from these variables because-in contrast to positive ones-negative hedonic well-being dimensions tend to be more differentiated and multidimensional (Stone and Mackie, 2014). In addition, we are particularly interested in how depression experiences, which are a marker of mental health, relate to the emigration of household members. We are confident in performing cross-country analyses of these subjective well-being measures, as psychological and brain-scan research indicates that they are consistent across time and space (see, e.g., C. Graham, 2009) and the effect of cultural biases on answering subjective well-being questions is limited (Exton et al. 2015).

Independent variables
We include two focal independent variables: (i) whether the members of the respondent's household have moved abroad permanently or temporarily in the past 5 years and are still there; and (ii) whether the respondent's household has received help in the form of money or goods from abroad in the past year. When included in the estimations jointly, the coefficient estimate on remittances will capture the monetary consequences of migration for the well-being of those left-behind such as the additional well-being received through the increase in disposable income, 9 while the coefficient estimate on the having family abroad variable reflects the residual migration effect, which, among other things, captures the psychological consequences (both positive and negative) of the out-migration of family members for those left behind at the origin. 9 We do not have data on the actual monetary value of either cash or in-kind remittances but rather only information on whether the respondent's family receives them or not. We also recognize that respondents may underreport the receipt of remittances (although, arguably, respondents are less likely to underreport the receipt of remittances than the actual value of remittances). If, in addition, the underreporting of remittances receipt is related to country-level characteristics, such as inequality or weak institutions (because the respondents may worry that corrupt officials may be willing to get the data), caution should be applied when interpreting the country-group results (Section 3).

Control variables
Our control variables comprise standard individual and household socio-demographic characteristics, namely, the respondent's age, gender, education, marital status, children in the household, urban or rural location, household size, employment status, and religiosity (whether religion is important in the respondent's life); all variable definitions are provided in Table 11. Importantly, we also control for within-country household income quintiles, and as such, any conditional correlations that we identify between our key independent variables and subjective well-being are above and beyond the influence of household income per se. We also include three self-reported health variables: experiencing physical pain, health satisfaction, and whether the respondent reported a health problem. We do so to separate subjective well-being from physical health as much as possible, as health conditions may affect subjective well-being (C. ). In addition, health conditions may affect the probability of staying behind, which is why we need to control for them in the regression. 10 To avoid bias from dropping observations due to missing data, we create an additional category for missing observations for all variables included in the analyses. Regressions using only non-missing observations are consistent with our main findings and are reported in Table 17 in the Appendix.

Estimation strategy
In separate regressions, we estimate the association between each of the four subjective well-being outcomes (evaluative well-being measured as the respondent's assessment of the best possible life (BPL)), positive affect, stress, depression) and the out-migration of a household member, using an ordinary least squares (OLS) estimator. While the evaluative well-being (BPL) variable is ordinal and technically we need an ordinal logit or an ordinal probit estimator, Ferrer-i- Carbonell and Frijters (2004) show that the results do not differ when OLS is used with ordinal subjective well-being data. OLS estimations are moreover easier to interpret. For consistency, we also estimated with OLS the models explaining stress and depression, where the dependent variable is binary. 11 The subjective well-being outcome S of individual i in time period t living in country c is where M is a binary indicator for having a household member abroad who has emigrated in the past 5 years, R is a binary indicator for whether the respondent lives in a remittance-receiving household, X is a vector of individual-and household-level characteristics, π c are country dummies, τ t are year dummies, and u itc is the stochastic error term. Simultaneously including both focal independent variables in the same regression allows us to discern the contribution of the financial boost (if any) from remittances for subjective well-being above and beyond that of having family abroad. At the outset, we note that our results should be interpreted as conditional correlations rather than causal effects. The main concern relates to the fact that the emigration does not occur at random. Traits such as openness, risk aversion, motivation, and ability could affect both well-being and the selection of individuals into migration both within and across households. The lack of panel data-whereby the same migrants and their family are observed over time and where appropriate, across international bordersdoes not allow us to control for such unobserved, time-invariant characteristics that simultaneously influence subjective well-being and emigration. 12 Another source of endogeneity is reverse causality, as it is conceivable that the deteriorating subjective well-being of household members is part of the migration decision. For example, if the subjective well-being of parents is ex ante poor, then the likelihood that their children emigrate is lower (Démurger, 2015). It is also possible that unhappy family members make it more likely that other members choose to move away (Borraz et al. 2010). Nevertheless, additional estimates in Table 18 of the Appendix demonstrate that while some subjective well-being dimensions are determinants of having a migrant family member abroad and, to some extent, receiving remittances, they only predict at most 1% of the probability of having a family member or receiving remittances. Depression and stress feelings are not associated with remittances, moreover (models (6) and (8) in Table 18). Thus, while reverse causality may be possible, it is unlikely that it is driving all of our findings.
Correcting reverse causality and selection bias is usually achieved using instrumental variables (Böhme et al. 2015;Waidler et al. 2016), natural experiments (Gibson et al. 2011), or selection-correction procedures and matching (Borraz et al. 2010). Nonetheless, finding convincing instruments that are only correlated with the migration decision but not subjective well-being is challenging. Böhme et al. (2015) study the consequences of children's out-migration on the health of elderly left behind parents in Moldova. The authors demonstrate that selection biases simple OLS results downwards, implying that when the selection of individuals from poor households with a priori sickly parents is taken into account using instrumental variables approach, the true positive consequences of emigration for the health of the elderly left behind are even stronger. Waidler et al. (2016) reach the opposite conclusion, again using a similar sample for Moldovan elderly parents and an instrumental variable estimation. Finally, as noted, using an experiment involving a migration lottery allowing Tongans to emigrate to New Zealand, Gibson et al. (2011) do not find much evidence that selfselection at the individual level biases the results. Additionally, matching methods such as those used in Borraz et al. (2010) assume that the selection into migration is based on observables, which is also methodologically problematic. It is thus difficult to know whether or not selection may be plaguing our results. Based on the experimental evidence of Gibson et al. (2011) and our own estimates using regressions applied after entropy balancing, selection should not be the main driver of our findings. Yet, we do not have experimental findings against which we can benchmark our estimates. While we acknowledge possible endogeneity issues and do our best to mitigate them, our goal is to offer the first global assessments of the patterns in the relationship between emigration and the well-being of those left behind, while leaving causal explorations to further research. With these caveats in mind, we apply additional caution when interpreting our results. Nevertheless, we show that our finding survive several sensitivity tests, which suggests that while selection may be a problem, it is not the primary driver behind our results. Table 1 reports our main estimation results. Holding constant the other control variables, both remittances receipt and having family members abroad are positively and statistically significantly associated with life evaluations (BPL) (model (1)). In other words, remittances have a positive and significant association with BPL beyond the influence of relatives abroad. Specifically, remittance receipt corresponds to a 0.11 point increase in life evaluations, which, evaluated at the sample mean of 5.495 (see Table 13 in the Appendix for summary statistics), is linked with a 2% increase in life evaluations (BPL), a result that is statistically significant but relatively small in terms of magnitude. This result is likely due to the increase in material living standards, or a "signaling effect" (Akay et al. 2016), which could also allow for the expanded capabilities and means that remittances bring. The signaling effect could reflect the different social status remittance-receiving families could have in the community.

Baseline results
There is an additional residual migration effect, as captured by the relatives abroad variable, which is about the same size of that of remittances. This residual migration effect could reflect the subjective well-being derived from aspiration fulfillment at the household level. Put differently, if emigration of household members is a household decision, then families left behind at the origin may derive satisfaction from the fact that migrants realize their potential abroad. Having a migrant abroad could also increase the opportunity for the respondent to move abroad in the future, hence raising the evaluation of one's best possible life (BPL).
Similarly to the results in model (1), those in model (2) in Table 1 suggest that both remittance-receipt and the residual migration effects are associated with higher levels of positive affect among those staying behind. Evaluated at the sample mean (7.205), the estimated coefficient for remittance-receipt in model (2) is associated with a 1.4% increase in the average positive affect score, which is also relatively small. The associated residual migration effect (i.e., the migration effect above and beyond the effect of income received through remittances) is also positive, statistically significant, and similar in magnitude to the remittance variable. Thus, the out-migration of family members seems to positively influence both life evaluations and positive emotions through both the income channel (remittances) and the residual psychological channel (having relatives abroad).
Despite being positively linked with evaluative and hedonic well-being, remittance receipt is a statistically insignificant predictor of stress and depression (models (3) and (4)), while the residual migration effect (relatives abroad) is positive and statistically significant. The positive residual migration effect likely reflects the worsened daily experiences related to the pain of separation, and the insignificant coefficient of remittances variables suggests the higher status and greater capabilities associated with receiving remittances do not reduce stress and depression experiences in respondents' daily lives. Thus, while remittances "buy happiness" (i.e., contribute to BPL and positive affect above and beyond the relatives abroad variable), they do not relieve the pain of separation. Importantly, the conditional difference in the average stress scores between migrant and non-migrant households (0.010) in model (3) represents 3.9% of the average sample stress level (0.259). Having a household member abroad is linked with a 0.008 percentage point increase in the probability of reporting depression, which represents an increase of 6.5% relative to the average incidence of depression (0.124). We also briefly comment on the estimated coefficients of the control variables in Table 1, most of which corroborate previous findings in the literature. People in the middle of the age distribution (ages 36-60) report lower BPL levels (on a scale of 0-10) as well as higher levels of depression compared to the young, whereas the elderly report the lowest levels of positive affect and the lowest levels of stress among all age groups. Women have on average higher life evaluation (BPL) and positive hedonic scores than men, suggesting, colloquially, that "women are happier than men," although they are also more likely to report higher levels of stress and depression. Married respondents have higher levels of BPL, positive affect, and lower levels of depression, while having children is associated with lower levels of all types of subjective well-being. The statistically significant coefficients of the household size variable and its square imply a quadratic relationship between household size and evaluative and positive hedonic well-being, whereby a greater household size is associated with higher evaluative well-being (BPL) and positive affect, peaking when the household size reaches 14-16 and decreasing thereafter. Household size is negatively associated with depression experiences, although the relationship becomes positive after household size reaches 12. Being in a higher within-country income  Table 11 and Table 12 in the Appendix for variable definitions and the list of countries included in each survey wave quintile is positively associated with both evaluative and hedonic well-being and is negatively linked to stress and depression. Holding constant the other included covariates, more educated people report higher evaluative well-being (BPL) and positive affect levels, higher stress levels, and lower depression levels. Relative to employed respondents, the unemployed report lower-and those out of labor force higher-levels of BPL and positive affect. Moreover, the unemployed are also more likely to experience depression and those out of labor force are less likely to report stress. As expected, inferior health (physical pain, health dissatisfaction, and health problems) is strongly associated with lower levels of evaluative and hedonic well-being, as well as increased stress and depression. Respondents for whom religion is important have better subjective well-being outcomes in all dimensions except depression, where the coefficient estimate is insignificant. Finally, respondents living in large cities (as opposed to small towns and villages) have higher levels of evaluative well-being (BPL) and positive affect, as well as stress, and depression.

The role of income
The next set of analyses tests whether income levels-both across and within countries-affect the relationship between the out-migration of family members, receiving remittances and subjective well-being. First, Table 2 shows the results for the four country groups based on the World Bank's per capita country income classification (see Table 12 in the Appendix for classifications). Panel A's main takeaway is that as country income per capita decreases, the magnitude of the association between receiving remittances and evaluative well-being becomes stronger and peaks for lowermiddle-income countries. For low-income countries, the BPL premium from migration is entirely driven by remittances. This is a novel finding, which was previously undocumented in the literature and implies that remittances play a greater role in enhancing evaluative well-being in poorer rather than in richer countries. A possible explanation-consistent with the NELM predictions-is that remittances expand the means and capabilities of the recipients and add to the feeling of financial security in poorer countries, where poverty is widespread, social welfare systems are weak, and credit and insurance markets are typically dysfunctional. As the marginal utility of income is higher and material means are more important for life evaluations in poorer rather than in richer countries, remittances are associated with higher well-being in the former. Meanwhile, remittances play no role for BPL in high-income countries, but having a migrant does, suggesting the different nature of the migration streams from these countries. Specifically, migrants from high-income countries emigrate to seek better opportunities abroad and family members back home feel reassured that their relatives are expanding their capabilities abroad. Next, panel B of Table 2 reports the country income group results for positive affect. Both migration-related variables are positive and statistically significant in lower-middle-income countries. The relatives abroad variable is also positive and marginally significant (at the 10% level) in the upper-middle-income countries. In lower-middle-income and high-income countries, the emigration of household members is associated with above-average stress levels (panel C), albeit being only marginally statistically significant, while remittances have no statistically significant association. The magnitude of the coefficient estimate is somewhat higher in high-income countries, possibly because the pain of separation hits respondents harder in high-rather than in low-income countries. This could be explained by the relatively strong informal networks, extended family structures and norms related to raising children by non-biological parents in poorer countries Murphy, 2008), which may make it easier to deal with the negative emotions associated with being left behind. In addition, remittance-receiving households in high-income countries report more depression experiences than their non-remittance receiving counterparts (panel D), possibly because receiving remittances in prosperous countries with relatively generous welfare systems is a marker of destitution or disadvantage and-as such-is accompanied by depression. 13 Our results thus far suggest that the out-migration of family members enhances life evaluation through remittances in poor countries and through the residual migration effect in rich countries. To further examine the role income, we report results by within-country income group in Table 3. Panel A unequivocally supports the conclusion that remittances matter in poorer contexts, while the psychological well-being derived from knowing that family members have better opportunities abroad matter in rich contexts (within countries). Table 3 provides some further nuances in our findings. For example, remittances do not seem to matter for positive emotions across the income quintiles, but the residual migration effect matters in all quintiles except for the richest people within a country (panel B). Remittances are unassociated with stress and depression, but the pain of separation is concentrated among respondents in the middle-income quintiles. 14 , 15

Further heterogeneity analyses
Given the income findings reported above, we also investigated whether the relationship between emigration of household members and the subjective wellbeing of the left behind depends on how unequal a society is. The results by income inequality group, reported in Table 4, demonstrate that remittances are associated with evaluative well-being (measured as evaluations of the best possible life (BPL)) in more unequal countries, which could reflect the capabilities-enhancing role of remittances where social redistribution systems are weak and supports the income findings reported above. Furthermore, the analysis suggests that the emigration of family members is associated with 13 We conducted additional analyses by the Human Development Index (HDI) group, which is another way of classifying countries according to their level of development. The results by HDI group-available on request or in the discussion paper version-are very similar to those by income group, especially for the evaluative well-being (BPL) estimations. The parallel is unsurprisingly given that per capita income is a major component of the HDI. 14 Another useful exercise, which we leave for future research, would be to check if less well-off people in poorer countries benefit from remittances more than their counterparts in richer countries-this could be because less well-off people in richer countries enjoy a better provision of public services and access to amenities. 15 Given our finding that remittances benefit people in less developed and more unequal countries, we further checked whether people from more deprived circumstances disproportionately benefit from remittances. Using education as a proxy for socio-economic status, we found that people with lower levels of education benefit most from remittances (Table 14). This corroborates our finding that remittances are associated with higher evaluative well-being in more deprived contexts. higher levels of depression in more unequal countries. It is possible that in such contexts, where social cohesion and public support systems are weaker than in more equal societies, migrants find it particularly difficult to cope with the pain of separation.
Next, Table 5 presents the results according to the country-level net migration rate, based on the United Nations data for 2005-2010. Panel A documents that having relatives abroad is positively associated with life evaluations in countries with lower emigration rate quartiles. Remittances are positively associated with BPL in countries with high emigration rates. This finding reflects our earlier result that remittances are particularly important for evaluative well-being in lower-income countries, where out-migration rates tend to be high. In countries with relatively low emigration rates, remittances are even negatively associated with BPL (quartile 3) 16 or not associated with BPL (quartile 4). We also find that migrant relatives are more likely to experience stress and depression in countries with relatively low 16 This negative association could be due to the fact that the third quartile of the net migration rate indeed encompasses a range of very different countries-rich and poor, with positive and negative net immigration (from France, Germany, and Greece to Ecuador, Chad, and India)-and it is possible that the negative remittance coefficient reflects the fact that additional income from remittances affects BPL differently in these very different contexts.  -4), while the coefficients are insignificant in high-emigration countries (quartile 1). A possible explanation is that people in high-emigration countries have developed mechanisms to deal with the negative consequences of emigration. By contrast, where emigration is less common, people have less knowledge of how to cope when someone leaves. In addition, the lower subjective well-being benefits of emigration in countries with lower emigration rates could reflect stigma attached to emigration-it is not the social norm to leave or receive migrant remittances.

Robustness checks
We performed several robustness checks. First, we wanted to understand to what extent the main findings are influenced by the sample composition of countries across the years and whether the availability of some countries in more than 1 year biases the findings. Specifically, since we limit the sample to when both the relatives abroad and the remittances variables are non-missing, our main estimation sample spans the years 2009-2011. In addition, while our 2009 sample comprises 112 countries, only 26 countries (located in Latin America and the Western Balkans) and 7 countries (located in the Western Balkans) could be included in the 2010 and 2011 analyses, respectively (see Table 12 in the Appendix). While we are limited by data availability, we offer a series of robustness checks that demonstrate that sample composition is not the driver of our main findings and conclusions. First, we furnish specifications using data for 2009 only, which are not substantively different from the full sample (2009-2011) results (Table 6). Second, we have also separately estimated the models for the seven Western Balkans countries, the only country group that appears in all 3 years. The results shown in Table 7 demonstrate that the coefficient estimates on the key variables are mostly statistically insignificant or sufficiently different from those in the full sample (Table 1), meaning that the inclusion of the Western Balkan countries in 3 years does not drive the main estimates. This is true . Finally, we also conducted weighted regressions, whereby observations from countries that appear in the regressions just once are given a weight of 1, observations from countries that appear in the regressions twice receive a weight of 0.5, and observations from countries that appear in the regressions three times, receive a weight of 0.33. The results, presented in Table 8, do not differ substantively from the main findings reported in Table 1. In summary, the series of checks presented in Tables 6-8 provide evidence that our results are not biased because of the greater availability of some countries compared to others. A second concern related to our analysis is that the results we should could be driven by the selection of individuals into migration. First, there is selection into migration across households within the same country, and second, there is selection within the household members regarding which family member emigrates (Gibson et al. 2011). Using information on family members who were selected to emigrate from Tonga to New Zealand using a migration lottery, Gibson et al. (2011) compare experimental and non-experimental findings to assess to what extent selection is a problem. They conclude that while selection is an issue when comparing outcomes at the household level, selection is not a problem when examining individual-level outcomes, which is the case in our paper. We are limited in our ability to tackle endogeneity issues directly, as explained above. Nevertheless, we provide some suggestive evidence on whether selection issues could be entirely driving our results. Specifically, we rely on a method that involves (i) a pre-processing step to create comparable groups of respondents with and without family members abroad using entropy balancing (Hainmueller 2012) 17 ; and (ii) estimating a weighted regression using the entropy balancing weights generated in the preprocessing step whereby we regress having a family member abroad on subjective well-being and the other controls. Entropy balancing is similar to traditional statistical matching techniques but is arguably superior to them (Hainmueller 2012) while allowing us to also to mitigate issues related to selection into migration across households. 18 The regressions using the entropy balancing weights are presented in Table 9. These findings deviate very little from the main findings presented in Table 1, suggesting that selection is not the primary driver behind our baseline results. Admittedly, we cannot say much on selection on unobservables using the entropy balancing method, but the findings in Table 9 provide some reassurance that selection is not the main mechanism behind the patterns we describe. 19 Our final robustness check, reported in Table 10, involves using a different independent variable, namely, having relatives and friends abroad (rather than having a relative abroad who left in the last 5 years as in the main specifications). Specifically, the variable is based on a question asking respondents: "Do you have relatives or friends who are living in another country whom you can count on to help you when you need them, or not?"(Gallup, Inc., 2005Inc., -2016. This variable is a closer measure of networks of friends and family members abroad rather than of left behind status (the correlation coefficient between the relatives abroad variable used in our main analyses, and this variable concerning networks abroad is 0.36). The results presented in Table 10 are similar to the ones in the main specification using the relatives abroad variable (Table 1). 20

Limitations
While we view this work as a step towards understanding the linkages between emigration and the different subjective well-being dimensions (evaluative well-being, positive hedonic 17 We rely on the user-written command ebalance in Stata (Hainmueller and Xu 2013). 18 More precisely, entropy balancing is more efficient and reduces covariate imbalance compared with techniques such as propensity score matching (PSM). Unlike more traditional matching techniques such as PSM, which is usually implemented using an iterative trial and error process and requires researcher judgment regarding the tolerance level and the included covariates, entropy balancing achieves covariate balance by weighting the sample units. Entropy balancing also allows to balance on other moments of the covariate distribution such as the variance and kurtosis. In this paper, we balance on the mean and covariance of the covariates (see Table 15 for the balancing tests). Finally, unlike with PSM, in which some observations are dropped due to matching, the entropy balancing weights deviate as little as possible from base weights to prevent loss of information and maintain efficiency (Hainmueller 2012). 19 Results showing the determinants of having relatives abroad and remittance receipt are available in Table 18 in the Appendix. 20 A notable difference includes the results presented in model (8) whereby having a network of family and friends abroad on whom to rely on in times of need is negatively associated with depression reports, but receiving remittances is positively associated with depression. We leave the investigation of why it might be so for future research. well-being, stress, and depression) of those left behind in a wide range of origin countries, our results cannot be interpreted as causal. Panel data tracing migrants and those left behind over time or a credible instrument for the out-migration of family members could help to address some sources of endogeneity (specifically, time-invariant respondent heterogeneity) and represent directions for future research. However, this line of inquiry would involve a trade-off between the panel dimension and geographical breadth, as multi-country longitudinal surveys require large financial resources and hence are rare.
Another limitation that we acknowledge is that we lack information on (i) the relationship between the emigrated household member and the survey respondent (i.e., we do not know whether the emigrants are partners, children, parents, or siblings); (ii) what characteristics migrants have (age, gender, education, etc.); (iii) when exactly in the past 5 years the migrant left and whether they are abroad permanently or temporarily; and (iv) the exact type of migrant remittances (monetary or in-kind) and the monetary amount of the Notes: Robust standard errors in parentheses. ***p < 0.01, **p < 0.05, *p < 0.1. Notes: Robust standard errors in parentheses. ***p < 0.01, **p < 0.05, *p < 0.1. Country-and year-fixed effects, and individual controls are included in all regressions. Full econometric output is available upon request Table 9 Emigration of family members, remittances and psychological well-being of those staying behind, full sample, ordinary least squares applied after entropy balancing, 2009-2011 BPL (0/10) Positive affect (0/10) Stress (0/1) Bootstrapped standard errors in parentheses. ***p < 0.01, **p < 0.05, *p < 0.1. ***p < 0.01, **p < 0.05, *p < 0.1. Country-and year-fixed effects, and individual controls are included in all regressions. Full econometric output is available on request remittances. The fact that we have relatively "recent" migrants-rather than those who have been living abroad for more than 5 years-suggests that we are capturing the shortto medium-run well-being consequences of emigration for the relatives left behind. Yet, the associations we document are small in magnitude. We expect that our results would be less significant or even smaller in magnitude if households with migrants who left a long time ago were considered, given that these households would have had sufficient time to adjust to and cope with being left behind. While the Gallup World Poll is remarkably detailed, it has not been specifically designed to study migration and is not a household-level survey. If possible, future research should consider migrant characteristics, given that they may have a differential impact on the well-being of those staying behind. Practically, the level of detail available in a survey would again need to be weighed against its geographical breadth.
Finally, given that our analysis samples cover only the adult population in each country, we do not have information on young children under age 15 who are left behind. Nonetheless, the literature highlights that the issue of left-behind children should be devoted particular attention especially given the increasing number of female labor migrants.

Conclusion
This paper examined the broad subjective well-being consequences of migration for migrant relatives staying behind, as reflected in life evaluations, positive and negative emotions, and depression experiences. Using 2009-2011 Gallup World Poll data for 114 countries, we are the first to explore the association between emigration and the subjective well-being of those staying behind across a wide range of sending countries. We find that people with family members abroad have higher levels of evaluative wellbeing (BPL) and positive affect than people from non-migrant households. At the same time, those staying behind are also more likely to experience stress and depression. Migrant remittances appear to amplify the positive associations related to evaluative well-being and positive emotions but do not contribute to reducing stress and depression. Overall, these findings suggest that the emigration of family members is likely to trigger a range of subjective well-being responses among those staying behind, with remittances reinforcing the positive outcomes (life evaluations and positive affect) but not offsetting the negative ones (stress and depression). In other words, remittances buy "happiness" but do not relieve the pain of separation. We also find that the level of economic prosperity and equality-both across and within countries-is important for understanding the relationship between migrationrelated variables and the well-being of those staying behind. One of the most distinct results of this study is that remittances are particularly beneficial for life evaluations in poorer and more unequal countries, as well as among poorer respondents within a particular country, probably because remittances increase the opportunities and capabilities of respondents in such circumstances. Among richer countries, meanwhile, only the emigration of family members is positively associated with life evaluations, while remittances have no additional association. Higher depression and stress levels are also reported among migrant relatives and remittance recipients in more developed countries, which is a previously undocumented result.
Finally, we find that the emigration of family members is associated with lower stress and depression in countries with higher emigration rates. It is possible that people in these countries have developed mechanisms to cope with the negative psychological effects of emigration such as the pain of separation. In countries where emigration is less common, decision-makers design policies to mitigate the negative experiences of stress and depression for vulnerable groups of household members staying behind. Some societies and communities in which migration is common already have informal groups in place that help with information sharing or preparing for migration (Cattaneo 2015;Gallego and Mendola, 2013). Facilitating such formal or informal support groups and stress and depression prevention programs for those with household members abroad could be socially beneficial.
Overall, our findings demonstrate the role of emigration and remittances for subjective well-being of those staying behind in poorer countries. However, while the outmigration of family members and remittances could improve well-being through easing budget constraints and providing financial security, it is a complement rather than a substitute for economic and institutional development.  Remittances (1 = yes) A binary indicator variable based on the question of whether the respondent's household received help in the form of money or goods from another individual in the past 12 months. The variable takes the value of 1 for respondents receive money or goods from an individual abroad and both abroad and from this country, and zero otherwise.
Other controls

Within-country household income quintile indicators
This variable is based on the Gallup-provided within-country household income quintile variable, whereby 1 corresponds to the poorest 20%; 5 corresponds to the richest 20%, and 6 is an indicator for missing information.
Education level Elementary education: completed elementary education or less (up to 8 years of basic education); Secondary education: completed secondary education or up to 3 years of tertiary education (9 to 15 years of education); Tertiary education: completed 4 years of education beyond "high school" and/or received a 4-year college degree Pain yesterday A binary indicator variable coded as 1 if the respondent experienced a lot of physical pain the day before and 0 if they did not.       Table 11 in the Appendix for variable definitions and Table 12 for the included countries     Notes: Robust standard errors in parentheses. ***p < 0.01, **p < 0.05, *p < 0.1. Country-and year-fixed effects and individual controls (except health controls) are included in all regressions. Full econometric output is available upon request Table 18 Correlates of having family member abroad and receiving remittances, logistic regressions, and average marginal effects