Sex and Migration: Who is the Tied Mover?

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Draft, June 2006 Sex and igration: Who is the Tied over? By Johanna Astrom Olle Westerlund Abstract We study the effects of interregional migration on two-earner households gross earnings and on the relative income between married/cohabiting men and women. In particular, we examine the nexus between education level and the relative income gains between spouses. The empirical analysis is based on longitudinal data from Sweden and functional regional labour markets as regional entities. Using difference-in-differences propensity score matching it is found that migration generally increases total gross wage earnings of households and has no significant impact on the male/female earnings gap. We find that the pre-migration level of education is a key determinant of migration and the economic outcome, and to some extent also for the effect on income distribution within the household. The positive average effect on household earnings is largely explained by the income gains among highly educated males. emales experience on average no significant income gain in absolute terms from migration. However, the female educational level seems to be positively correlated with the effect on earnings, although the effect appears to be small. The relative male/female educational level seems to affect the relative income gain between spouses in the anticipated direction. However, significant increase in the female share of household income is indicated only for the sample of highly educated females married/cohabitant with males having a lower level of education. Department of Economics, Umeå University, SE-901 87 Umeå, Sweden. E-mail: johanna.astrom@econ.umu.se Department of Economics, Umeå University, SE-901 87 Umeå, Sweden. E-mail: olle.westerlund@econ.umu.se.

Introduction Investments in human capital, for example in health, education, and migration, are important events for individuals, households, and on the aggregate also for the society. In a reasonably functioning economy, these investments are expected to increase welfare and, under certain circumstances, also the productivity of labour. Potentially, they may also have substantial effects on the income distribution among income earners in general as well as within households. Investments in education and geographical mobility may provide opportunities to reduce the income differences between males and females, but may as well reinforce existing income differences by asymmetrical favouring the careers of one of the sexes. Empirical economic research on migration has typically been oriented towards the determinants of migration and, to a somewhat lesser degree, towards the effects on income among singles or couples. Only a small fraction of the research on migration has been purposed for the study of the effects on intra-household income distribution. To the best of our knowledge, there is no previous study that examines the determinants of changes in family income distribution among households who relocates to another geographical labour market. Cooke (2003) studies married couples in the US and finds that migration increases in the husband s income and leaves the wife s income unchanged, which is in line with the results in an early study from the US by Sandell (1977). Cooke finds that this applies even in cases where the wife has greater earning potential than her husband. Smits (2001) uses data on married couples in the Netherlands and finds negative effects of migration on earnings for both spouses. It is also found that most long-distance moves seem to be undertaken for the career of the males. Jacobsen and Levin (2000) study interstate migration in the US during the 1980 s and report income gains only for the sample of single women. or married couples, they find that the economic outcome of migration is negative and they find no effects of migration on the relative income between spouses. Nivalainen (2002) studies innish households and finds that migration for the most part occurs due to the demands of the husband s career, resulting in the wives being tied migrants. Employment after migration is examined in Nivalainen (2004). The results show that employment among the majority of 2

men is unaffected. However, some groups of migrating husbands have higher employment probability after migration, while the women never realize positive returns in terms of employment. Using data on stable two-earner households in Sweden, Axelsson and Westerlund (1998) find that migration does not affect real disposable income. Also based on Swedish data, Nilsson (2000) concludes that migration increases the intra-household income gap within young dual-university graduate households. This study examines the effects of migration on the households total gross wage earnings and the relative income between married/cohabitating males and females. We devote special attention to the nexus between education and the relative outcome of migration for the spouses. The reason for this is that the educational level of spouses is a potential indicator of bargaining power which plays a decisive role in modern theories of intra household income distribution (Lundberg and Pollak, 1996, 2001). The relevance of studies within this field of research is also underlined by related international trends, such as the increased number of two earners households, increasing investments in education, the increased share of females entering higher education, and increasing interest in the issue of gender equality. The empirical analysis is based on longitudinal data from Sweden. We use a large sample of individuals who were married or cohabitants prior to and after migration. The sample is confined to stable couples, both spouses being employed prior to migration. Sweden provides an excellent ground for exploring these questions because of the availability of data, and because of an internationally high labour force participation rate among women. The remainder of this paper unfolds as follows. The next section gives a brief reference to theories of distribution within the family and family migration. Section III presents the data and estimation strategy. Section IV gives the estimation results. The final section contains conclusions and discussion. 3

II Income distribution within the family and migration One of the most common theoretical framework in economic studies of migration is the standard human capital model where individual utility varies across potential locations and the single individual chooses to reside in the location that maximizes utility, given location specific benefits and costs (including eventual costs for relocation). or the single decision maker, the model provides straightforward implications. or families, the decision to invest in migration is much more complex. Early models of family behaviour, labelled as common preferences models, the consensus model (Samuelson, 1956) and the altruist model (Becker, 1974), imply that family decisions are consistent with maximising a single utility function. A common feature of the common preference models is pooling of incomes, meaning that incomes of e.g. a husband and wife are pooled and the allocation of expenditures is independent of the relative contribution of husband and wife. This means that a given increase in income has the same effect on utility and consumer demand irrespective of which of the spouses that brings home the bacon. Empirical evidence is, however, generally not consistent with the income pooling assumption and more recent bargain models of family decisions seem to provide a more credible description of the migration decision than the common preferences models does (see e.g. Lundberg and Pollak, 1996). The decision to invest in migration for a two-earner household has to satisfy both spouses and the optimal location for the family may not be the optimal location for any of the two spouses if being single. When a spouse moves along with her partner even though the individual gain from family optimum is lower than the gain from a free optimum, it is commonly throughout the literature called tied migration. At the optimal location for the family, the total family utility is maximized and the tied migrant has to receive enough compensation from the partner to migrate and stay in the relationship (incer, 1978). Analogously, one spouse may also be a tied stayer, receiving enough compensation from the other spouse to stay at the present location and stay in the marriage. It is, of course, also possible that both spouses are tied migrants or tied stayers. 4

In a bargaining model the individuals are assumed to maximize their individual utility and the behaviour of the family are not only dependent on total family income (ceteris paribus) but also on the determinants of the payoff in case of no agreement, the threat point (Lundberg and Pollak, 1996). The threat point can be either external, e.g. divorce, or internal an inefficient non-cooperative equilibrium within marriage. The most extreme threat point is, for most couples, likely to be divorce where the threat point and the bargained outcome depend on environmental factors such as the spouse s possibilities and opportunities outside the marriage. In everyday bargaining the internal threat point is more plausible. In this case the family s demands depend on who receive income within the marriage. The bargained outcome will depend upon the utility at the threat point and the decisions of the family will depend on who receives the higher income within the marriage. It is however reasonable to assume that the allocation problem has an external threat point, if the spouses can not agree on a residential location they separate or divorce. In the human capital model, where a single utility function is maximized, it is assumed that the tied mover will be compensated for the loss it suffers from migration. The cooperative bargaining models assume that all agreements can be reinforced and that there is no restriction on the agreements made within the family. However it is not very likely that the couple can make binding agreements about future distribution of resources within the marriage. Lundberg and Pollak (2001) illustrate a non-cooperative two-stage game where the location is determined in the first stage and the distribution of resources between spouses in the second. Given that the investment in human capital yield different returns for the two individuals, the bargaining power in future bargaining will be affected and thereby the spouses possibilities to claim family resources in the future. If it is impossible for the spouses to make binding agreements about future transfers of resources, the allocation problem may have an inefficient outcome. The spouses realize that their bargaining power will be altered and this can lead to either an inefficient location or inefficient divorce. An inefficient location is characterized by not maximizing the total income for the household. The tied spouse prefers a bigger piece of a smaller pie and the leader prefers being married to the alternative of receiving a higher income and being separated. Thus, modern theories seem to accommodate empirical observations that are inconsistent with the older common preferences / income pooling models, and they generate several interesting 5

and seemingly realistic implications. It appears, however, as extremely difficult to pursue rigorous empirical tests of these models and we make no such aspiration. 1 In fact, previous studies perform tests of older models based on unrealistic assumptions. Still, previous empirical results are valuable and interesting in many respects. This study is also of explorative nature and adds, in our view, substantial contributions in relation to previous empirical research within this field. The specific empirical questions to be addressed are: - does migration yield an income gain for the household as a whole? - does migration affect the relative income between spouses? - how are changes in relative earnings related to potential proxies for bargaining power, such as level of education and previous income? Educational level is a good proxy for potential wage level and it is therefore reasonable to think that it would affect the family s location decision, and consequently also the returns from migration for the male and the female. oreover, the bargaining models suggest that some of the covariates in empirical household models of migration and post-migration income, may be perceived as indicators of bargaining power. As pointed out by Lundberg and Pollak (2001), education and pre-migration income are two possible candidates in this respect. 1 Naturally, changes in wages or incomes do not translate into changes in utility by necessity. It is, for example, extremely difficult to incorporate indicators of compensating wage and income differentials into empirical models. 6

III Data and estimation We use annual panel data from various official registers by the Swedish National Tax Board, the National Labour arket Administration of Sweden, and Statistics Sweden. The sample pertains to residents in Sweden who were married or cohabitants in stable household constellations between and 2003. We have included couples where both spouses were employed in and where there exits observations on the earnings -2003. The final sample includes 125 891 couples out of which 1 911 have migrated in 1998 or 1999. Descriptive statistics Table 1: Sample means. Variable Stayers overs 2 emales ales emales ales Individual attributes: Gross wage earnings 1345.98 2426.08 1184.83 2417.62 Gross wage earnings 2000 1610.80 2841.27 1474.71 3143.56 Gross wage earnings 2001 1690.11 2923.94 1612.84 3254.29 Gross wage earnings 2002 1764.26 2938.02 1700.33 3320.75 Gross wage earnings 2003 1819.99 2934.96 1797.11 3378.10 Age 35.55 37.43 33.22 34.87 Student.051.015.097.063 Elementary school or Compulsory school.101.169.074.085 2-year secondary school.398.374.224.215 3-year secondary school.133.122.116.119 <3 years of university.220.173.266.223 3 years of university.143.151.311.319 Ph. D.003.0118.006.036 arming.011.032.004.021 anufacturing.108.273.077.196 Construction.013.108.0131.058 Retail.154.238.127.193 Private sector.103.143.105.166 Public sector.537.171.532.301 Couple attributes Child(ren).927.927 829.829 Small children.335.335.519.519 Welfare benefit.0182.0182.0491.0491 igration history.031.031.268.268 Regional attributes: Ln extacces -3.063-3.063-3.190-3.190 Stockholm county.201.201.209.209 South of Sweden.141.141.103.103 Population 402 213 402 213 387 124 387 124 Number of observations: 123 980 123 980 1 911 1 911 2 Detailed definitions of the variables are given in the Appendix 1. 7

Generally, the descriptive statistics follow the expected pattern. The movers have lower earnings in, they are on average younger and they have higher education than the stayers. The females in the moving couples have a smaller wife/husband earnings ratio and it has decreased slightly between and 2000 from 33 to 32 percent. The women in the non moving couples, on the other hand, have increased their share of total household earnings between and 2000. Estimation igration can be perceived as a treatment as compared to the non-treatment alternative of staying. The potential outcomes are Y 1 for migration and Y 0 for staying. or each individual, there is a pair of outcomes of which only one can be observed. The parameter of main interest is, in this case, the one which measures the average treatment effect on the treated, ATT = E[Y 1 - Y 0 = 1], where equals one for migration and zero for non-migration. Clearly E[Y 0 = 1] can not be observed, i.e., what would have happened to the migrants had they not moved. The outcomes of a sample of stayers generally serve as an estimate for the counterfactual outcome. A well known problem with non-experimental data is that the individuals who are subject of a treatment may be self selected into the treatment group. Consequently, the estimated effect of treatment can be biased if the selection mechanism is correlated with the outcome, e.g. migrants may have attributes making them more mobile and more productive in any location. In the present study, we use the method of difference-in-difference propensity score matching to estimate the effect of migration on household incomes and relative incomes between spouses. This method takes selection on observed attributes into account and eliminates potential bias because of time-invariant unobserved heterogeneity. Propensity score matching relies on the assumption that, conditional on some observable characteristics X, outcomes are independent of the assignment to treatment. Given this Conditional Independence Assumption, Rosenbaum and Rubin (1983) show that it also holds for some function of X, that is, Y0 p( X ) 8

where p(x) is the so-called propensity score, the probability that = 1. The matching procedure is then reduced to matching on a scalar, which means that the loss of a large number of observations is avoided. A condition of common support is added, which is p(x) < 1 when ATT is the parameter of interest. It guarantees the possibility of a non-treated match for each treated individual. The propensity score may be estimated, for example, by binomial logit or probit. By using information about the outcome variable before treatment it is possible to eliminate potential bias due to time-invariant heterogeneity. Smith and Todd (2005) find that differencein-differences propensity score matching estimates are substantially less biased than crosssectional matching estimates. The difference-in-differences estimator can be written Y 1 - Y 0 = (Y 1t+i Y 1t ) (Y 0t+i Y 0t ), where the subscripts t and t+i denote periods of time before and after migration. 3 We have a large comparison group, which we exploit when constructing our counterfactuals. By using more than one individual as a counterfactual, the bias may increase but the variance reduces. When the propensity scores are asymmetrically distributed a kernel based procedure is beneficial since it only uses the additional observations where they actually exist. The kernel based procedure matches the migrant with comparable individuals among the stayers. Assuming a migrant with outcome Y i and propensity score p i, kernel matching constructs its counterfactual outcome, Yˆ i, from non-treated with pj within a predetermined bandwidth h of p i, and attaches more importance to closer matches. Given that p i p j < h, the matched outcome Yˆi is given by Y ˆ i = j { D= 0} j { D= 0} pi p j K y h pi p j K h j 3 The method of matching avoids the functional form restrictions of, for example, ordinary least squares (OLS) and also offers flexibility as counterfactual outcomes are calculated for each treated individual. OLS- regression techniques impose greater weight to the treatment effects at values of X which occur often and where the variance in is larger. Given heterogeneous treatment effects, the OLS estimator does not correspond to ATT, and as pointed out by Angrist (1998), it is not necessarily an interesting estimate for an economic researcher. 9

where the weights of the kernel K sum to one. 4 The purpose of the matching procedure is to balance the covariates between migrants and non-migrants, to make the distribution of the counterfactual outcome of staying the same as for the group of migrants. The estimated effect of migration is the observed average difference between the outcomes of the migrants and non-migrants in the matched sample. The outcome variable in our main approach is constructed as [ +i - ] where denote real annual wage earnings, and i is between three and six, i.e, we estimate the effect after one, two, three and four years following the move from one labour market area to another, where the move takes place in 1998 or 1999. We do this to distinguish eventual differences between the immediate effects from the effects over a couple of years. We also examine the effect of migration on the change in the female s share of total household earnings, this variable is constructed as i ( ) ( + ) + i + + i also estimated after one, two, three and four years following the move. +. This is As stated previously, propensity score matching takes observed heterogeneity into account. The specification of the outcome as the difference-in-differences eliminates bias due to time invariant unobserved heterogeneity affecting the individual s gross wage earnings. It should be noted that we take advantage of rich information on individual characteristics and characteristics of the household. This should at least reduce the potential impact of the remaining unobserved heterogeneity. 4 The weight of each (untreated) y j is pi p j pi p j K K. h j { D= 0} h 10

IV Results The covariates in the estimation of the propensity score should have a causal effect on both the probability to move and on the change in income. A large number of attributes that according to theory and previous research may affect both the probability to move and the change in earnings have been tested in the specification of the propensity score. 5 irst we estimate logit equations to see which covariates influenced the probability to move. Secondly we run regressions to see whether the variables from the first stage affects the difference in earnings and difference in female earnings share between and 2000, 2001, 2002, 2003. The same set of variables is used in the estimations for all sub-samples. Separate tests for each sub-sample indicate that the matched samples are well balanced with respect to the included covariates. The kernel matching estimates of ATT for the whole sample are given in Table 2. The results indicate a positive average effect on post migration gross wage earnings for the household as a whole of about 20 500 SEK four years after the move, around 18 000 for males, and approximately 2 500 for females. 6 The estimated gains for females are, however, not significant. or the whole sample, there seems to be positive returns from migration for both men and women both instantly and a few years later. 5 Specification of the propensity scores is given in Appendix 2.The propensity scores have been estimated for the entire sample and conditioned on the educational level of the spouses separately. This allows for different parameter specifications by education. 6 The share of the movers/stayers that are in higher education in 2000 are 3.7/1.4 for men and 9.5/7.5 for women. The share that have taken parental leave in 2000 are 46.9/38.9 for men and 63.5/55.0 for women. When controlling for age, a substantial part of these differences disappear. We expect that when controlling for educational level and other covariates that this difference becomes even smaller. This should not influence our results. 11

Table 2; Propensity score matching estimates of the effect of migration on gross wage earnings (100 SEK), standard errors within parentheses 7. Outcome emales ales Household 2000 - -4.10 (24.34) 2001-28.62 (25.72) 2002-14.10 (28.32) 2003-24.02 (29.62) 123.06*** (51.92) 86.96* (47.35) 123.40*** (47.40) 181.09*** (48.64) 118.97** (57.76) 115.58** (54.77) 137.49*** (56.13) 205.11*** (58.01) Number of couples (overs): 125,891 (1,911) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. To see whether these results hold when controlling for the educational level of the spouses, a potential indicator of bargaining power, we have carried out separate estimations for different educational combinations within the couples, table 3 and 4. If the individual has university education he/she is labelled as having a high level of education. If not; the individual has a low level of education. Table 3 reads as follows; the estimated effect between and 2000 for a female having low education living with a male having low education is a reduction in earnings of about 8200 SEK, point estimate equals -82.13 with a standard error of 37.07. If the female having low education lives with a male that has high education her loss in earnings between and 2000 is 1300 SEK, point estimate equals -13.28. or a male having low education living with a female having low education the estimated decrease in earnings between in an 2000 is 1 900 SEK, point estimate equals -19.23. A male having high education living with a female having low education the estimated effect on earnings between and 2000 is an increase of 37 700 SEK, point estimate is 377.13. 7 In large samples there is evidence that the component of the variance from the estimation of the propensity scores can be disregarded (Eichler and Lechner, 2002). The standard errors are computed as; σ ( TT ) = Var ( TT ) n 12

Table 3; Propensity score matching estimates of the effect of migration on gross wage earnings, conditional on the female having low education, standard errors within parentheses. Outcome emales ales Household ale s education ale s education ale s education Low/ High Low/ High Low/ High 2000 - -82.13** / -13.28 (37.07 / 58.30) 2001 - -32.71 / 33.96 (38.82 / 62.37) 2002 - -49.75 / -33.18 (41.84 / 67.94) 2003 - -67.10 / -66.71 (43.21 / 65.96) -19.23 / 377.13* (48.70 / 220.69) -3.28 / 616.31*** (54.46 / 250.58) 10.86 / 587.74*** (58.89 / 229.77) 3.33 / 571.47*** (63.52 / 228.84) -101.36 / 363.85 (65.45 / 223.59) -36.00 / 650.28*** (70.84 / 256.10) -38.89 / 554.56*** (77.99 / 236.53) -63.77 / 504.76** (82.70 / 230.95) Number of couples (overs): 63,912 (556)/ 15,403 (239) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. *, **, *** significant at the 10, 5, 1 percent level. If the female have a low level of education in, the returns from migration for the household as a whole differs regarding the educational level of the male (Third column in Table 3). A couple where both spouses have low education experiences no monetary gain. The estimates are negative and the estimated standard errors are relatively large. A couple where the male have a high level of education and the female does not, receives the highest estimated return from migration for the household as a whole (about 50 000), and the male earnings growth of 57 000 dominates the estimated female earnings reduction of nearly 7 000. Again, the standard errors are rather large and only the estimates of the male s gains and total household earnings are statistically significant. Table 4 presents the results conditional on the female having university education. The estimated effect from migration on total household earnings is positive regardless of the educational level of the male, but it is only significant when both have a high level education. The female s return is about the same for high and low levels of their husband education. It seems as it is the educational level of the husband that primarily determines the outcome on 13

Table 4; Propensity score matching estimates of the effect of migration on gross wage earnings, conditional on the female having high education. Standard errors within parentheses. Outcome emales ales Household ale s education ale s education ale s education Low/ High Low/ High Low/ High 2000-65.88/ 41.31 (72.23/ 39.89) 2001-126.53/34.01 (77.79/ 42.32) 2002-73.78/ 35.87 (77.92/ 47.74) 2003-60.15/ 101.31** (83.23/ 50.66) -1.66/ 217.30*** (88.23/ 86.91) -84.27/ 79.28 (94.04/ 62.16) -24.43/ 140.52** (120.94/ 63.50) -39.47/ 274.07** (117.59/ 66.26) 64.23/ 258.61*** (109.39/ 96.12) 42.26/ 113.28 (127.03/ 76.68) 49.35/ 176.39** (140.36/ 80.64) 20.68/ 375.37*** (141.52/ 84.84) Number of couples (overs): 19,200 (251)/ 27,376 (865) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. *, **, *** significant at the 10, 5, 1 percent level. total household earnings. A couple where both spouses have higher education the total household gain from migration after four years is about 38 000, where of the major part derives from the effect on the earnings of the male. The monetary benefit for a male with higher education appears to be dependent on the educational level of his spouse. A highly educated male living with a highly educated female receives an increase in earnings that is substantially lower than for those living with low educated females (27 000 compared to 57 000 four years after the move). or males and females with a low level of education, the effect on individual earnings is slightly negative or zero, and the educational level of the spouse does not seem to matter for the size of the return from migration. Does migration affect the female share of household income? Table 5 gives the matching estimates of the effect on females share between and post-migration shares measured 14

each year from 2000 to 2003. When using the whole sample (first column in Table 5), the estimated effect from migration is positive but insignificant in three cases out of four. When the sample is separated by educational level, all estimates pertaining to females with a low Table 5; Propensity score matching estimates of the effect of migration on the female s share of total household gross wage earnings, standard errors within parentheses. Outcome 2000 ( + ) ( + ) 2000 2001 2000 ( + ) ( + ) 2001 2001 2002 ( + ) ( + ) 2002 2002 2003 ( + ) ( + ) 2003 2003 Entire sample.0008 (.0061).0126 ** (.0064).0025 (.0064).0052 (.0066) emale low and male low/high education -.0063/-.0061 (.0130/.0170).0196/-.0056 (.0134/.0177).0019/-.0192 (.0129/.0177).0087/-.0181 (.0139/.0200) emale high and male low/high education.0347*/ -.0050 (.0185/.0079).0432***/ -.0029 (.0180/.0085).0345*/ -.0065 (.0192/.0085).0347*/ -.0027 (.0195/.0086) Number of couples (movers) 125 891 (1 911) 63 912 (556)/ 15,392 (228) 19,188 (239) / 27,333 (822) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. *, **, *** significant at the 10, 5, 1 percent level. level of education are insignificant (second column in Table 5). However, for the sample of highly educated females married/cohabiting with males having a lower level of education, the estimates are positive and significant in all four cases (left entries in the third column). or this sample, the migration seems to increase the female share of total household earnings around four percentage points. Although most of the estimates in table 5 are not significant, they are generally in accordance with the hypothesis that spouses education matters for the effect of migration on the female/male relative share of total household income. There is, however, no evidence of substantial effects of education on the impact of migration on females/males relative earnings, except for the sample of highly educated females whose partners have a low level of education. To separate the hypothetical effects from education and income on bargaining power, we split the sample according to whom of the spouses that had higher average earnings over the three 15

years prior to the move (table 6 and 7). or the sample of households with the male as the principal earner (Table 6), his spouse was the relative winner. The estimated effects of the change in female share are significant between years of and 2001, 2002 and 2003 (first column table 6). The estimates of the change in the female share are positive for all but one combination of educational levels. The estimates are, however, only significant if the male has low education. Judging from these estimates, males with low levels of education experience the largest loss in relative income. There is, nevertheless, no clear cut pattern indicating that the relative level of education determines the changes in income shares. Given that the male has a low level of education (left entries in columns 2 and 3 in table 6), the relative gain for females with a low level of education is close to the estimated gain for females with a higher education. Table 6; Propensity score matching estimates of the effect of migration on the female s share of total household gross wage earnings, conditional on the woman s share being less than 0.5 in 1995-. Standard errors within parentheses. Outcome Entire sample emale low and male low/high education emale high and male low/high education 2000 ( + ) ( + ) 2000 2000.0072 (.0059).0134/ -.0111 (.0132/.0157).0292/.0032 (.0190/.0075) 2001 ( + ) ( + ) 2001 2001.0185** (.0061).0380***/ -.0025 (.0135/.0157).0285/.0112 (.0192/.0080) 2002 ( + ) ( + ) 2002 2002.0112* (.0062).0174/ -.0160 (.0129/.0163).0419**/.0072 (.0211/.0082) 2003 ( + ) ( + ) 2003 2003.0147** (.0064).0197/ -.0045 (.0144/.0172).0389*/.0095 (.0202/.0083) Number of couples (movers) 104 581 (1 522) 52,686 (413)/ 13,925 (203) 14,904 (187)/ 23,336 (719) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. *, **, *** significant at the 10, 5, 1 percent level. In couples where the male was the secondary earner the preceding years (table 7), reallocation increases his relative share of total earnings. This result holds for all educational combinations except one. In couples where the female has higher education than the male, she experiences a larger effect on her earnings than her partner does. 16

In all, we find that the secondary earner receives an increase in the share of total household earnings as a result of migration. This applies for both sexes, although this effect seems to be smaller for females than males on average when comparing the first columns in tables 6 and 7. oreover, in couples where the female has a high level of education and the male does not, migration increases the female share of household income whether or not she is the principal earner before migration. Without jumping to conclusions, the results seem to indicate that initial income is not positively correlated with bargaining power affecting the relative earnings outcomes from migration. Table 7; Propensity score matching estimates of the effect of migration on the female s share of total household gross wage earnings, conditional on the female s share being equal to or more than 0.5 in 1995-. Standard errors within parentheses. Outcome Entire sample emale low and male low/high education emale high and male low/high education 2000 ( + ) ( + ) 2000 2000 -.0381** (.0170) -.0494/.0148 (.0309/.0655).0712/ -.0563*** (.0527/.0242) 2001 ( + ) ( + ) 2001 2001 -.0341* (.0177) -.0257/-.0180 (.0313/.0694).0943/ -.0753*** (.0485/.0266) 2002 ( + ) ( + ) 2002 2002 -.0430*** (.0168) -.0330/-.0322 (.0307/.0702).0506/ -.0667*** (.0449/.0258) 2003 ( + ) ( + ) 2003 2003 -.0408** (.0177) -.0254/-.0891 (.0318/.0753).0497/ -.0624*** (.0533/.0249) Number of couples (movers) 21,040 (389) 11,226 (143)/ 1,478 (36) 3,765 (64)/ 4,040 (146) Note: The estimates are based on the Normal kernel with bandwidth.001 and a common support restriction. ive per cent of the moving observations are trimmed where the propensity-score density of the control observations are the lowest. *, **, *** significant at the 10, 5, 1 percent level. Summing up the empirical results, our findings indicate that migration affects earnings positively for the household. However, this applies only for households where the male has a high level of education. Another finding is that the spouse with the highest level of education seems to be the relative winner from migration, although this is only significant when the female has a higher level of education. When the male and the female have unequal levels of education, the spouse with the lower level of education experience no gain in earnings from migration. 17

V Conclusion and discussion Our findings indicate that migration has a positive effect on total household gross wage earnings. The average effect derives primarily from the large earnings increases among highly educated males. In general, we find little evidence of positive effects of migration on earnings among females. However, the education level seems to be positively correlated with the income gain also among the females, although the estimated effects are relatively small or statistically insignificant even for the highly educated females. When examining the change in the female/male share of total household earnings, we find that the effect of migration is negligible on average. The relative educational level between spouses does, however, matter for the effect of migration on relative earnings within the household. Highly educated females coupled with low educated males, experience an increase in the income share of around four percentage points compared to non-migrants. The largest negative effect of migration on the female earnings share is found among females with a low level of education whose male partners are highly educated. Although not conclusive evidence, we interpret our empirical findings in relation to the concept of tied migration as follows. The substantial gain in total income among migrating two-earner households implies that migration ties are not important enough to fully offset increases in household income as a result of migration. oreover, tied migration does not counteract potential income gains to an extent that incurs a decrease in income for the male or the female. This applies on average for the whole sample. Disaggregated analysis reveal that education levels affect the gains from migration in terms of individual earnings, total household earnings and the female share of total earnings. The latter finding is, however, statistically and economically important only for highly educated females married/cohabitating with males having a lower level of education. A cautious interpretation of the results is that they do not speak against the hypotheses that the relative education level between spouses matters for bargaining power when household location decisions are made. Being the principal income earner seems not to yield decisive intra-household bargaining 18

power in this context. Our findings indicate that the spouse with the lower income experience the largest effect of migration on the relative share of total household income. 19

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Appendix 1 Individual attributes: Gross wage earnings -2003; in hundreds of Swedish Kronor. Age; in. Child(ren); couple has at least one child below the age of 18 living at home. Small children; couple only has children under the age of seven living at home. Student; individual received study aid for higher education or adult education. Educational level; highest level of education attained by. Sector; sector of work in according to the Industry code (sni92) as defined by Statistics Sweden. Welfare benefit; family received benefit in. igration history at least one of the spouses has moved between 1994 and. Regional attributes: Ln extacces; Stockholm; couple lived in Stockholm county in. South of Sweden; couple lived in Skåne or Blekinge county in. Population; total population aged 16-64 in labour market region in. 22

Appendix 2 Variable Logit estimation of migration in 1998 or 1999 Regression on difference in total household gross income -2000 lnextacc -0,00472 1,346856 * (-1,49) (1,17) befolk97-4,35e-07 *** 0,000475 *** (-5,85) (26,13) reg4dm7-0,32588 *** -110,35 *** (-4,21) (-6,92) lder7-0,04721 *** -4,12401 *** (-8,71) (-3,19) barn97-0,78396 *** 564,6162 *** (-9,7) (25,64) student 0,62409 *** 327,256 *** (5,8) (7,35) studentf 0,393793 *** 358,6813 *** (4,69) (14,28) social 1,161118 *** -9,87586 (9,63) (-0,24) smbarn 0,587022 *** 185,164 *** (9,4) (13,1) mig9497 1,736851 *** 35,82998 (29,14) (1,15) utbild_3-0,05596 (-0,59) 1,463503 (0,09) utbild_4 0,328472 ** 130,4683 *** (3,07) (6,1) utbild567 0,586044 *** 460,9587 *** (6,22) (24,68) utbildf_3-0,27715 ** 37,43335 * (-2,72) (1,89) utbildf_4-0,1938 * 148,7138 *** (-1,69) (6,25) utbild567f 0,184831 * 347,2571 *** (1,83) (16,43) sektor_2-0,27947 * -169,121 *** (-1,68) (-5,13) sektor_3-0,43196 *** -28,0523 * (-6,66) (-1,87) sektor_4-0,48265 *** -77,538 *** (-4,58) (-3,85) sektor_5-0,2196 *** 11,70188 (-3,34) (0,76) _cons -2,1681 *** -259,193 *** (-9,25) (-4,43) Note: *** Indicates significant at the 1 percent level; ** indicates significant at the 5 percent level and * indicates significant at the 10 percent level. 23