Rev Econ Household DOI 10.1007/s11150-014-9244-y Parenthood wage penalties in a double income society Sara Cools • Marte Strøm Received: 14 March 2013 / Accepted: 22 February 2014 Ó Springer Science+Business Media New York 2014 Abstract We estimate how parenthood affects hourly wages using panel data for Norwegian employees in the years 1997–2007. Though smaller than for most other OECD countries, we find substantial wage penalties to motherhood, ranging from a 1.2 % wage reduction for women with lower secondary education to 4.9 % for women with more than four years of higher education. Human capital measures such as work experience and paid parental leave do not explain the wage penalties, indicating that in the Norwegian institutional context, mothers are protected from adverse wage effects due to career breaks. We do however find large heterogeneity in the effects, with the largest penalties for mothers working full time and in the private sector. Contrary to most studies using US data and to previous research from Norway, we find a small wage penalty also to fatherhood. Also for men, the penalty is greater for those who work full time and in the private sector. A substantial share of the fatherhood wage penalty is explained by paternity leave. Keywords Parenthood penalties Welfare state Gender wage gap We are grateful to Jenny Clarhäll, Eva Kløve, Andreas Kotsadam, Ingrid Krüger, Jo Thori Lind, Kalle Moene and Fredrik Willumsen for helpful comments and suggestions. The authors bear all responsibility for errors and shortcomings. This paper is part of the research activities at the center of Equality, Social Organization, and Performance (ESOP) at the Department of Economics at the University of Oslo, in collaboration with the Ragnar Frisch Centre for Economic Research. We acknowledge funding from the Norwegian Research Council (Frisch project 1110). Data made available by Statistics Norway have been essential for the research project. ESOP is supported by the Research Council of Norway. S. Cools BI Norwegian Business School, Oslo, Norway e-mail: [email protected] M. Strøm (&) Institute for Social Research, Oslo, Norway e-mail: [email protected] 123 S. Cools, M. Strøm JEL Classification J13 J22 J24 J31 1 Introduction Women’s labor force participation increased greatly in Norway during the last decades of the twentieth century, closely approaching that of men. Over the same period, as several European countries experienced falling fertility rates, the total fertility rate in Norway increased and stayed far above the European average. In a country where the combination of work and family is encouraged through public policies such as universal child care, paid parental leave and extensive job protection for parents, and where not only the two career household, but also the two carer household, is encouraged, the double fact of high female labor force participation and high fertility is the hallmark of these policies’ success. Unfortunately, and puzzling to some, the gender gap in hourly wage has not declined as successfully over the period. It seems rather that the convergence in men’s and women’s hourly wage stagnated some time during the 1980s, only to pick up slightly from 2000 onwards. As in most other countries, the gender wage gap is greater among parents than among non-parents—a phenomenon known as the family gap in wages. Quantifying the wage effects of parenthood is therefore of interest to policy makers wishing to address the overall gender wage gap. In this paper we study how children affect men’s and women’s hourly wages, using panel data on hourly wages in Norway from 1997 to 2007. Using fixed effects estimation and register data covering both the private and the public sector (in total 80 % of the working population), this is the first broad panel data study of parenthood wage effects in Norway. In addition to rich register data, the institutional setting provided by Norway as a typical Nordic welfare state makes it an interesting case for the exploration of causes behind the family wage gap. The international empirical evidence on a negative relationship between having children and women’s labor market outcomes, like wages and labor supply, is substantial (e.g. Korenman and Neumark (1992), Waldfogel (1997) and Budig and England (2001)). The evidence on the effects of fatherhood is both more scarce and less consistent (see for instance Millimet (2000), Lundberg and Rose (2002), Simonsen and Skipper (2008), Astone et al. (2010), Wilde et al. (2010)). Generally, the literature finds a smaller family gap in pay for mothers in the Scandinavian countries (Datta Gupta and Smith 2002; Harkness and Waldfogel 2003a). Differences in family policies are argued to be key in explaining differences in family gaps across countries (Waldfogel 1998). For example, Waldfogel (1998) show that in countries with paid parental leave, women return to work more quickly and at the same time maintain a good job match. The institutional context may therefore leave a smaller role for the motherhood wage penalty being caused by an adverse effect on firm-specific human capital. This paper aims to investigate further two main explanations for why we observe a negative wage effect on mothers’ wages.1 Commonly, children are considered to 1 Unless tied specifically to institutional or biological gender differences, these explanations would also apply to fatherhood wage penalties. 123 Parenthood wage penalties in a double income society have an effect on women’s productivity—by a comparative reduction either in their human capital or in their work effort—which again will be reflected in their wages. As proposed by Mincer and Polachek (1974), childbearing and child rearing may cause a comparative reduction in mothers’ labor market experience, both through periods out of the labor market and through periods of reduced working hours, which then adversely affects mothers’ accumulation of human capital. Several empirical studies have shown that when controlling for experience—measured as time in active employment, net of career breaks and/or adjusted for part time work—a large part of the wage penalty is explained (Waldfogel 1997; Budig and England 2001; Datta Gupta and Smith 2002; Anderson et al. 2002; Wilde et al. 2010). We explore a human capital explanation for the family wage gap by including actual job experience, the length of parental leave and part-time work as explanatory variables in our estimations of parenthood wage effects. As the Norwegian institutional setting provides, on the one hand, long periods of parental leave, while on the other, high job-protection during leave, we expect two conditions to be met: First, that the overall wage penalty is lower in Norway if the loss of job-specific human capital explains a large share of the wage-penalty in other settings. Second, that the inclusion of experience measures explains a smaller share of the wage penalty because they only pick up the deterioration of human capital in general. In the other part of the productivity explanation for mothers’ reduced hourly wage, Becker (1985) theory of a conflict between effort in home production and effort at work implies that among women working the same number of hours, mothers will put in less effort per hour. Several studies have found a negative relationship between housework load and wages (Coverman 1983; Shelton and Firestone 1989; McAllister 1990; Hersch and Stratton 1997). Career break effects may also wrongly be attributed to loss of human capital. Using Swedish data, Albrecht et al. (1999) find that the type of career break matters for its effect on wages, and that the effects vary by gender. As they find no effect of maternity leave and a negative effect of paternity leave, they interpret this as parental leave signalling worker effort.2 We explore the effort explanation in different ways. First, we expect workers to be more free to regulate their own effort in occupations requiring higher education, whereas workers in occupations requiring lower education will be relatively more forced to reducing working hours rather than effort in their work. We therefore expect parenthood to affect hourly wages more negatively in higher education groups (whereas it affects working hours more negatively in the lower education groups). Second, Anderson et al. (2003) suggest that the role of effort can be investigated by studying how the parenthood wage penalty evolves as the child grows older, since smaller children demand more effort at home than older children. The parenthood wage penalty should consequently be smaller when the child grows 2 Mothers being expected by employers to take leave for a considerable period of time means maternity leave is not a strong signal to the employer of their type. For men, on the other hand, the length of parental leave is a strong signal of how much effort they will spend at work. 123 S. Cools, M. Strøm older.3 Third, if effort is part of the explanation and there is a constant amount of effort to be shared between parents, we would expect men’s penalties to increase as women’s decline. Last, we should also expect to see larger wage penalties in the private sector, where individual wage setting is more common but job protection still applies, as long as individually bargained wages are more closely linked to effort. Other explanations from both the empirical and theoretical literature do not evoke an effect of children on women’s productivity: Mothers may earn lower wages than non-mothers due to employers’ discrimination or because they seek employment in ‘‘mother-friendly’’ jobs, for instance offering greater flexibility or requiring skills that deteriorate less rapidly during time spent out of the labor force—at the expense of lower wages (Budig and England 2001; Nielsen et al. 2004). We do not test hypotheses of discrimination in this paper, and cannot rule out that it plays a role. Public sector jobs are often viewed as more easily compatible with family life. We explore whether a change in sector of employment can explain some of the parenthood wage effects by including sector of employment as an explanatory variable in our regressions. Our results show that even in the context of a double income welfare state like Norway, there is a substantial wage penalty to motherhood. Ranging from 1.2 % during the first years for women with lower secondary education to 4.9 % for women with more than four years of higher education, motherhood wage penalties in Norway are lower than estimates found for the UK (Harkness and Waldfogel 2003b) and the US (Korenman and Neumark 1992; Budig and England 2001; Wilde et al. 2010), and comparable to estimates found for Germany (Harkness and Waldfogel 2003b) and Denmark (Nielsen et al. 2004), among others. Contrary to most other studies, we find a negative (though comparatively small) effect of having children of about .3 to .4 % on the hourly wages of men with middle length education. The wage penalty to motherhood is not explained when we include measures of experience, parental leave, working part time and sector of employment. The results indicate that Norwegian family policies protect mothers from adverse wage effects following a career break. We find evidence that changes in effort might be important for the explanation of a parenthood wage effect. As hypothesized, the wage effects to parenthood is larger for higher educational groups and for people working in the private sector, where we expected a change in effort to affect wages more. 2 Estimating the wage penalty to parenthood The obvious problem of childbearing being endogenous to wages—and to labor market outcomes in general—is dealt with most completely in studies that use 3 However, Wilde et al. (2010) argue that if parenthood affects both wage levels and wage growth, the effect of reduced effort during early years may have a lasting effect. If the wage trajectory changes growth rate, the difference between parents and childless individuals may even be increasing, a pattern found in Wilde et al. (2010) on US data. A long term persistence in motherhood wage effects is found in several other studies, like Viitanen (2014) using UK data. 123 Parenthood wage penalties in a double income society instrumental variables for the childbearing decision. A shortcoming of this approach is that it cannot be applied to the study of effects of having the first child.4 The literature on the wage penalties to parenthood is mainly concerned with effects of the first child, although effects of subsequent children are often estimated in addition. Given this focus, endogeneity is primarily addressed by the inclusion of individual fixed effects in the estimation (this is done by Waldfogel (1997), Hersch and Stratton (1997), Budig and England (2001) and Anderson et al. (2002)). Even when controlling for individual fixed effects, there is the possibility of selection of individuals into parenthood and of systematic differences in the career path of individuals who have children at different ages, which would both yield biased estimates (Korenman and Neumark 1991; Antonovics and Town 2004). Wilde et al. (2010) address the issue of selection into parenthood by restricting their sample to contain only individuals who are observed to become parents. This restriction in combination with fixed effects estimation means identification of the parenthood wage penalties comes from comparing the development in wages of individuals with children to the development in wages of individuals who have not yet had children—in essence, causal interpretation rests on the assumption of exogenous variation in the timing of when to have children.5Wilde et al. (2010) further address the endogeneity in the timing of childbearing by running separate analyses of the wage effects for different skill levels (defined by Armed Forces Qualification Test scores taken at ages 14–21). If the timing of children is random within a skill group, separate analyses will yield unbiased estimates. Put less strongly, if part of the unobserved heterogeneity that is correlated both with the timing of children and with wages varies systematically between certain groups, estimation of wage effects within groups will reduce the bias. Our data do not contain any exogenous measure of ability. Given that there is a strong tradition in Norwegian centralized wage setting of tying qualification to education length, the length of individuals’ education will in large part determine how their wages develop. Length of education is also a major factor influencing when to have children. For these reasons, subsample analysis based on education length might reduce the bias resulting from time-variant heterogeneity amongst individuals who have children at different points in time. We divide the sample into four educational categories.6 We include individual fixed effects in order to take out time-invariant unobservable heterogeneity that is correlated both with the average wage level and with the propensity to have children at different ages. The resulting identifying assumption for a causal interpretation of our results is that, within an education group, there is no systematic difference in the wage paths of those who 4 The most widely applied instruments for having additional children are twins and child gender composition (first used by Rosenzweig and Wolpin (1980) and Angrist and Evans (1998), respectively). 5 As postponing childbearing is found to reduce the negative career effects of having children (Hofferth 1984; Taniguchi 1999; Buckles 2008; Miller 2011), the assumption is under siege. 6 Our division—further described in Sect. 3—is similar to one in Anderson et al. (2003), but we have a separate group with a master degree or higher. This is a small group, but interesting because of the large career potential, meaning motherhood may be a substantial hinder as is shown in e.g. Bertrand et al. (2010). The timing of the first child is clearly different between education groups: Age at first birth increases by one year on average between one educational group and the next. 123 S. Cools, M. Strøm have children at a certain point in time and those who do not—other than what is caused by the event of having children itself. We estimate the following relationship between wages and having children: ln wit ¼ p1a Child1½1 5it þ p1b Child1½6 10it þ p1c Child1½11 15it þ p1d Child1½ [ 15it þ p2a Child2½1 5it þ p2b Child2½6 10it þ p2c Child2½11 15it þ p2d Child2½ [ 15it þ p3a Child3½1 5it þ p3b Child3½6 10it þ p3c Child3½11 15it þ p3d Child3½ [ 15it ð1Þ þ p4 Child4it þ qa Pregnantit þ qb Babyit þ df ðAgeit Þ þ et þ vi þ uit ; where i indicates individual and t indicates year of the observation. w denotes hourly wage, which enters log transformed. The Child1½it variables are variables indicating the age categories of the first child. Child1½1 5it takes a value between 0 and 1 according to how much of year t individual i’s first child is between the age of 1 to 5. Child1½6 10it thus takes a value between 0 and 1 according to how much of year t individual i’s first child is aged 6 to 10, and so on. The Child2½it variables indicate the age categories of a second child, and the Child3½it variables those of the third child. Child4it indicates whether the individual has had a additional children beyond the third child. Parental leave benefits in Norway entail wage replacement during approximately the first year after a child is born, contingent on the parent’s labor market behavior during the last 10 months prior to the child’s birth. Wages observed during pregnancy and during the parental leave period may therefore differ significantly from wages received prior to the pregnancy, and from the wage realized after returning to the labor force. The variable Pregnantit , which takes a value between 0 and 0.75 according to how much of the year was spent ‘‘in pregnancy’’, and the variable Babyit , taking a value between 0 and 1 according to how much of that year the individual had a first-born baby younger than 1 year, take out the variation in wages caused by these periods. We also include a fourth order polynomial in each parent’s age (f ðAgeÞ). et denotes year fixed effects and vi individual fixed effects. Hence, the wage path of non-parents is given by the age function, net of year and individual fixed effects.7 Our main interest lies with the parameters p1a , p1b and p1c , the effect on wages of having a first child aged 1–5 years, 6–10 years and 11–15 years, respectively. For (weakly) negative values of the p1 s, p1a ¼ p1b ¼ p1c would correspond to a constant wage effect of parenthood over time. jp1a j [ jp1b j [ jp1c j corresponds to a scenario of parents’ wages catching up with their original wage path, whereas jp1a j\jp1b j\jp1c j corresponds to the case in which parents’ wages keep deteriorating relative to the wages of non-parents. 3 Data The basis for our main sample is all Norwegian residents born between 1950 and 1980, except parents who at one point had twins, triplets or any type of multiple 7 The fourth order polynomial is chosen in order to be as flexible as possible, given that the use of age dummies is not feasible due to multicollinearity with year and individual fixed effects. 123 Parenthood wage penalties in a double income society birth. The sample is further restricted by the availability of data on hourly wages (described below). We run separate estimations in four subsamples based on the length of individuals’ education. The education data is provided by Statistics Norway and makes it possible to track individuals’ highest registered education over time. As an individual’s ultimate education level may be influenced by childbearing, we face a trade-off between a late observation of education, that more likely reflects the individual’s actual wage path, and an early and less endogenous measure of education. Since it is not clear how much there is to gain in terms of exogeneity by using observations on education at younger ages, and because there is something to be gained by moving close to the actual education of the individual during his or her working life, we use education measured at age 25 for the main part of our analysis. The median age at which an individual attains the highest registered education is 24 years in our sample. The first education group is the group of individuals who have completed nine years of lower secondary education or less (this group also includes individuals for whom education information is missing). This group constitutes about 40 % of our sample, based on the observation of education at age 25. Typical occupations for this education group are for instance shop clerks, transport workers (men), cleaning personnel (women). The second group has completed additional three years of upper secondary education, and constitutes roughly 30 % of our sample. Typical occupations are technicians and electricians (men) and secretaries and health care personnel (women). The third group has a ‘‘lower degree’’ in higher education (four years or less of higher education, typically a bachelor’s degree or the equivalent), and is typically employed as engineers (men) or nurses (women). This group constitutes almost 30 % of the sample. Finally, the fourth education group consists of those with four years or more of higher education (and thus a ‘‘higher degree’’). Constituting only about 2 % of the whole sample, this group is typically employed as doctors, architects and engineers. Our measure of hourly wages is constructed using information on contracted hours and monthly wages in Statistics Norway’s ‘‘Wage statistic’’ (‘‘Lønnsstatistikken’’). The Wage statistic is based on employer reports for a sample of Norwegian enterprizes on all employees by the 1st of October. 8 Every year all public enterprizes and all private enterprizes with more than a certain number of employees are included (the number varies with industry and year), for the remaining private sector a 50 % sample of medium size enterprizes and a 20 % sample of small enterprizes is drawn every year. Employment in agriculture, hunting and forestry is left out. So are enterprizes with 3 or less employees. On average, the Wage statistic covers about 80 % of Norwegian employees (100 % of the public sector employees and 70 % of the private sector employees) every year. The information on birth year, education and the linking of parents to their children comes from Statistics Norway’s demography, family and education registers. 8 Results are therefore representative of employees only. The share of self-employed in the labor force is about 4 % for women and almost 10 % for men during the period under study, with smaller shares for individuals with small children (Villund 2005). 123 S. Cools, M. Strøm The resulting panel is unbalanced, both due to the sampling of medium size enterprizes, and because people may move in and out of employment covered by the Wage statistic. A missing observation for a given year may mean either that the person in question does not work that year, that she is self-employed, or that she is employed in an enterprize that is not included in that year’s sample.9 In Sect. 5, we include four covariates that are clearly endogenous to the childbearing decision (so-called ‘‘bad controls’’) in order to see to what extent they explain the parenthood wage penalties. In Sect. 6 we divide the sample into different subsamples based on these four variables. As some of these variables are only observable from 1993 onwards, the samples used in the analyses in Sects. 5 and 6 will be restricted to parents of children born between 1994 and 2007. Experience is constructed counting the cumulative number of years the individual is registered with occupational income above the basic amount of the Norwegian social security system (G), which is a common measure of labor force participation based on Norwegian income data. Parental leave counts the cumulative number of days the individual has been registered with paid parental leave. This register has reliable information from 1993 onwards. Third, the variable Part time is constructed as a dummy variable equal to one if the individual is registered as working 30 h or less per week, zero if the registered number of weekly hours is more than 30. Lastly, the Public sector variable used in Sect. 5 is based on whether the individual is registered with a public sector employment code in the Wage statistic. When we split the sample according to which sector individuals worked in the year they became parents, we again use information from the Employer/Employee register, going back to 1993. Descriptive statistics for the samples and subsamples we use in the analyses in Sects. 4–6 are given in Table 1. 4 Baseline results Table 2, columns (1)–(5) shows the results from fixed effects regression on Eq. 1 for our main sample of women. Estimated on the whole sample together, having children on average reduces women’s earnings by 1 % during the first years. This estimate for the whole sample is smaller than in any of the subsamples.10 The effect 9 Using other official registries we find that about 20 % of women and 7 % of men who have a missing wage observation when their first child is 3 years old have earnings below the basic amount (G) of the Norwegian social security system, meaning that they are marginally or not employed at all that year (from January 1 2010, G is NOK 72 881, approximately USD 12 500). About 50 % of the women and 75 % of the men with missing wage observations are registered as employed. Some of the remaining missing observations may indicate self-employment. 10 When the timing of children differs between educational groups, the estimate for the full sample will typically be different from the average over the within-group estimates. Estimating the effect of children relative to the counterfactual wage path for the full sample means individuals in the highest education group are over-represented among the (still) childless, while individuals in the lower education group are over-represented among those who have already had children. The same pattern is found in Anderson et al. (2002). 123 13.30 38.24 Age of first child Age (8.40) (9.92) (1.20) (37.00) SD 41.71 18.20 1.90 123.02 Mean 139,037 N 10.96 Age of first child (8.42) (9.36) (1.26) (70.08) (0.49) (0.40) (0.43) (0.39) (0.49) (0.49) (0.77) (5.32) 40.67 14.27 1.60 145.59 28,075 0.49 0.72 0.61 0.78 0.52 0.52 0.80 10.90 Experience (years) 12.24 (5.94) 13.07 Men: observations in 2002, sample with first child born 1994–2007 37.89 Number of children Age 160.31 1.41 Hourly wage (1998 NOK) Men: observations in 2002 0.59 Public sector before children 0.82 Takes leave with first child 0.68 0.61 Public sector 0.80 0.42 Part time Full time before children 0.75 Cumulated parental leave (years) First child leave (years) 10.18 Experience (years) (7.02) (8.05) (9.25) (1.28) (62.53) (0.50) (0.45) (0.41) (0.41) (0.50) (0.50) (0.75) (6.45) (7.42) (8.79) (1.14) (29.49) SD 12.50 35.55 8.71 1.27 158.98 46,876 0.48 0.77 0.68 0.83 0.51 0.44 0.78 10.59 35.31 9.79 1.42 131.06 Mean SD (35.76) (5.47) (8.01) (8.55) (1.22) (67.28) (0.50) (0.42) (0.42) (0.38) (0.50) (0.50) (0.76) (5.08) (7.80) (8.57) (1.15) 11.18 36.63 8.48 1.28 181.07 60,722 0.73 0.85 0.70 0.82 0.74 0.36 0.71 9.59 35.85 8.78 1.35 148.06 Mean (5.30) (8.28) (8.95) (1.26) (75.53) (0.45) (0.36) (0.44) (0.39) (0.44) (0.48) (0.79) (4.87) (8.43) (9.15) (1.23) (39.60) SD Lower deg. Lower Upper Higher education Secondary education Women: observations in 2002, sample with first child born 1994–2007 133.31 1.61 Number of children Mean All Hourly wage (1998 NOK) Women: observations in 2002 Table 1 Descriptive statistics 11.08 37.57 9.26 1.45 221.34 3,364 0.47 0.95 0.74 0.85 0.47 0.21 0.78 9.21 34.08 5.94 1.16 183.79 Mean Higher deg. (5.57) (8.19) (8.81) (1.30) (86.48) (0.50) (0.21) (0.44) (0.36) (0.50) (0.41) (0.83) (4.59) (7.34) (7.78) (1.18) (63.15) SD Parenthood wage penalties in a double income society 123 123 0.32 137,198 Public sector before children N (0.47) (0.28) (0.08) (0.50) (0.46) (0.27) (0.12) SD 37,825 0.23 0.90 0.03 0.47 0.22 0.10 0.05 Mean (0.42) (0.29) (0.06) (0.50) (0.41) (0.29) (0.10) SD 56313 0.25 0.93 0.04 0.57 0.24 0.07 0.06 Mean SD (0.12) (0.43) (0.25) (0.07) (0.50) (0.43) (0.25) 38767 0.50 0.90 0.05 0.60 0.50 0.08 0.07 Mean (0.50) (0.29) (0.09) (0.49) (0.50) (0.28) (0.14) SD Lower deg. Lower Upper Higher education Secondary education 4,293 0.37 0.96 0.06 0.63 0.35 0.05 0.09 Mean Higher deg. (0.48) (0.19) (0.10) (0.48) (0.48) (0.22) (0.18) SD Sample is women and men born between 1950 and 1980 who are registered with employment in Statistics Norway’s Wage statistic. Working less than 30 h per week is classified as part time employment, working 30 h or more is classified as fulltime 0.04 0.92 Full time before children Takes leave with first child First child leave (years) 0.31 0.55 Public sector 0.06 0.08 Part time Mean All Cumulated parental leave (years) Table 1 continued S. Cools, M. Strøm Age 1–5 Third child Age [15 Age 11–15 Age 6–10 Age 1–5 Second child Age [15 Age 11–15 Age 6–10 Age 1–5 First child (0.0021) (0.0012) (0.0016) 0.0066*** 0.010*** 0.0024 (0.0020) (0.0011) (0.00087) 0.0087*** 0.0089*** (0.0017) 0.013*** (0.0026) (0.0014) (0.00093) 0.016*** 0.015*** 0.0062*** (0.0024) (0.0013) 0.012*** 0.017*** 0.016*** (0.0014) (0.0021) (0.0011) 0.0016 0.014*** 0.013*** (0.00070) (0.0017) (0.00079) 0.0095*** 0.012*** 0.0098*** (0.0016) 0.011*** (0.0024) 0.026*** (0.0021) 0.029*** (0.0017) 0.025*** (0.0012) 0.019*** (0.0027) 0.053*** (0.0023) 0.051*** (0.0019) 0.044*** (0.0014) 0.033*** (0.0014) 0.018*** (0.0022) 0.034*** (0.0019) 0.031*** (0.0015) 0.027*** (0.0011) 0.021*** (0.0023) 0.046*** (0.0021) 0.042*** (0.0017) 0.035*** (0.0012) 0.025*** (0.0076) 0.041*** (0.013) 0.043*** (0.011) 0.040*** (0.0086) 0.035*** (0.0059) 0.037*** (0.014) 0.029** (0.011) 0.042*** (0.0088) 0.045*** (0.0061) 0.049*** (0.0012) 0.0086*** (0.0017) 0.015*** (0.0015) 0.015*** (0.0012) 0.012*** (0.00094) 0.010*** (0.0018) -0.0045** (0.0016) 0.0015 (0.0014) 0.0027** (0.0010) 0.0067*** (6) Lower deg. (4) Lower (2) (1) Higher deg. (5) All Higher education Secondary education All Upper (3) Men Women Table 2 The effect of children on women and men’s hourly wage (0.0020) 0.0083*** (0.0027) 0.015*** (0.0025) 0.015*** (0.0021) 0.011*** (0.0017) 0.0090*** (0.0030) 0.00016 (0.0027) 0.0013 (0.0024) 0.0036 (0.0018) 0.0026 Lower (7) (0.0019) 0.0083*** (0.0030) 0.0023 (0.0025) 0.0046* (0.0020) 0.0049** (0.0015) 0.0040*** (0.0031) 0.0096*** (0.0026) 0.0086*** (0.0022) 0.0067*** (0.0016) 0.0028* Upper (8) Secondary education (0.0023) 0.00072 (0.0035) 0.0015 (0.0030) 0.00049 (0.0024) 0.00077 (0.0018) 0.0015 (0.0037) 0.020*** (0.0032) 0.017*** (0.0026) 0.013*** (0.0019) 0.0039** Lower deg. (9) (0.0064) 0.0010 (0.011) 0.0036 (0.0089) 0.011 (0.0072) 0.0032 (0.0053) 0.0016 (0.011) 0.0043 (0.0095) 0.00059 (0.0079) 0.0043 (0.0058) 0.0017 Higher deg. (10) Higher education Parenthood wage penalties in a double income society 123 123 (0.0022) 0.0070*** (0.0014) 3,11,879 170,462 1,039,057 (0.0029) 0.0067** (0.0025) 0.016*** (0.0020) 0.018*** 157,188 1,167,112 (0.0024) 0.030*** (0.0021) 0.027*** (0.0018) 0.025*** 7,340 51,957 (0.017) 0.056*** (0.013) 0.055*** (0.011) 0.050*** 567,321 3,325,989 (0.0020) 0.018*** (0.0018) 0.015*** (0.0015) 0.012*** 256,282 1,377,709 (0.0031) 0.018*** (0.0028) 0.014*** (0.0025) 0.0098*** Lower (7) 192,227 1,120,625 (0.0037) 0.014*** (0.0030) 0.011*** (0.0025) 0.0097*** Upper (8) Secondary education 106,054 736,930 (0.0041) 0.0013 (0.0036) 0.0019 (0.0030) 0.0016 Lower deg. (9) 12,758 90,725 (0.012) 0.0010 (0.010) 0.0075 (0.0084) 0.0048 Higher deg. (10) Higher education Each column provides FE estimates from a regression based on Eq. 1 on the sample of Norwegian women and men born between 1950 and 1980. The columns (2)–(5) and (7)–(10) correspond to subsamples according to individuals’ length of education measured at age 25. Year dummies, a polynomial in age and individual fixed effects are included in all specifications. So are controls for pregnancy, having a baby younger than 1 year and for having more than 3 children. Robust standard errors are in parentheses. * p\0:10;** p\0:05; *** p\0:01 646,869 0.0034 (0.0013) Individuals (0.0021) 0.011*** 1,927,527 0.0068*** (0.0011) 4,185,653 0.0070*** (0.0019) 0.013*** Observations Age [15 Age 11–15 Age 6–10 (6) Lower deg. (4) Lower (2) (1) Higher deg. (5) All Higher education Secondary education All Upper (3) Men Women Table 2 continued S. Cools, M. Strøm (0.0039) 0.056*** (0.0019) 66,353 Experience Age 11–13 Age 6–10 Age 1–5 First child (0.0042) (0.0020) 0.0047*** 0.030*** 0.059*** (0.0011) (0.0034) (0.0015) 0.0021*** 0.027*** 0.048*** (0.00059) 0.021*** (0.0026) 0.031*** (0.0011) Panel B: including explanatory variables 257,691 0.027*** (0.0013) Individuals (0.0030) 0.046*** 298,690 0.024*** (0.00090) 1,439,805 0.018*** (0.0021) 0.029*** Observations Age 11–13 Age 6–10 Age 1–5 First child Panel A: baseline 0.034*** (0.00099) 0.0028*** (0.0035) 0.050*** (0.0026) 0.048*** (0.0020) (0.00098) 0.00045 (0.0030) 0.046*** (0.0022) 0.039*** (0.0016) 0.029*** 94,454 91,566 0.038*** 619,874 (0.0029) 0.045*** (0.0020) 0.037*** (0.0013) 0.027*** 485,626 (0.0032) 0.046*** (0.0023) 0.044*** (0.0016) (0.0066) 0.0070 (0.016) 0.042*** (0.011) 0.045*** (0.0079) 0.048*** 5,318 35,615 (0.015) 0.047*** (0.0095) 0.049*** (0.0063) 0.052*** (0.0013) 0.0042*** (0.0024) 0.028*** (0.0017) 0.017*** (0.0012) 0.0051*** 268,544 1,449,591 (0.0024) 0.029*** (0.0016) 0.018*** (0.0011) 0.0059*** (6) Lower deg. (4) Lower (2) (1) Higher deg. (5) All Higher education Secondary education All Upper (3) Men Women Table 3 The effect of children on women and men’s hourly wage (0.0023) 0.00050 (0.0043) 0.0074* (0.0031) 0.0035 (0.0022) 0.0019 88,101 402,689 (0.0042) 0.0070* (0.0030) 0.0030 (0.0021) 0.0020 Lower (7) (0.0025) 0.00027 (0.0037) 0.019*** (0.0026) 0.012*** (0.0018) 0.0040** 110,893 595,752 (0.0037) 0.021*** (0.0026) 0.014*** (0.0017) 0.0066*** Upper (8) Secondary education (0.0022) 0.0049** (0.0047) 0.012*** (0.0032) 0.0096*** (0.0022) 0.0024 62,652 405,242 (0.0045) 0.016*** (0.0031) 0.013*** (0.0021) 0.0060*** Lower deg. (9) (0.0076) 0.011 (0.013) 0.013 (0.0089) 0.011 (0.0063) 0.0070 6,898 45,908 (0.013) 0.011 (0.0086) 0.0085 (0.0060) 0.0043 Higher deg. (10) Higher education Parenthood wage penalties in a double income society 123 123 66,353 91,566 94,454 619,874 (0.0010) 0.020*** (0.00061) 0.013*** (0.0011) 5318 35615 (0.0040) 0.0031 (0.0032) 0.0056* (0.0057) 0.0062 260,210 1,402,030 (0.00069) 0.0059*** 85,578 390,462 (0.0015) 0.010*** (0.0025) 0.021*** 0.0017 (0.0014) (0.0061) 0.011* (0.0027) 0.0098*** Lower (7) 107,422 576,088 (0.0011) 0.00080 (0.0025) 0.016*** (0.0046) 0.032*** Upper (8) Secondary education 60,559 391,283 (0.0012) 0.0087*** (0.0021) 0.030*** (0.0044) 0.036*** Lower deg. (9) 6,651 44,197 (0.0036) 0.017*** (0.0079) 0.034*** (0.012) 0.039*** Higher deg. (10) Higher education Each column in each panel provides FE estimates from a regression based on Eq. 1 for the sample of individuals who had their first child in 1994 or later. Year dummies, a polynomial in age, individual fixed effects and a set of dummies for having a second and a third child at various ages are included in all specifications. So are controls for pregnancy, having a baby younger than one year and for having more than 3 children. In the lower panel additional controls are included. Robust standard errors are in parentheses. * p\0:10 ;** p\0:05 ; *** p\0:01 Including controls for experience, parental leave, part time and sector of employment 257,691 Individuals 485,626 (0.00094) (0.0012) (0.00060) 298,690 0.00067 0.0066*** 1,439,805 (0.00077) (0.0010) (0.00043) 0.023*** 0.0055*** 0.026*** 0.017*** 0.0029* (0.0015) 0.0025** 0.0041** (0.0020) 0.0030*** (0.00081) (6) Lower deg. (4) Lower (2) (1) Higher deg. (5) All Higher education Secondary education All Upper (3) Men Women Observations Public sector Part time Parental leave Table 3 continued S. Cools, M. Strøm Parenthood wage penalties in a double income society of having children is strongest for the highest education group, and weakest for the lowest education group. During the first years after having children wages are reduced by 4.9 % for those who have a higher university degree and by 1.2 % for women who have lower secondary education.11 In all education groups except the highest one, and in the sample as a whole, the effect of the first child grows over time. Restricting the sample to mothers only, as is done by Wilde et al. (2010), gives more negative estimates in the sample as a whole, whereas the estimates in the subsamples based on education length change only marginally. The results indicate that women who do not have children are on a lower wage-path, yielding a smaller estimated impact of children when the control group includes these women. If we further restrict the sample to parents of at least two children, effects are again somewhat larger in the aggregate, but the main pattern across subsamples and child ages remains the same. The estimated effect of having a second child is stronger for women in all education groups and at all ages of the second child. Lastly, splitting the sample into subgroups based on education measured at age 22 instead of 25— though yielding too few observations to get meaningful estimates in the group with the highest education—the pattern across the other groups is still one of larger wage penalties with higher education.12 Table 2, columns (6)–(10) gives the results on the wage penalties to fatherhood. In the whole sample, the estimated effect is positive initially, at .67 %, and only becomes negative as the child is older than 15, at .45. However, when we estimate the effect on wages separately for the four education groups, there are negative effects in the two middle education groups already at the outset, at .28 and .39 % respectively. Also for men in these groups, the wage penalty to parenthood grows as the child gets older, ending up at 1 % in the group with upper secondary education, and 2 % for those with 4 years or less of higher education. Restricting the sample to fathers only, the estimated effects of the first child tend to become stronger, in both directions, but the general picture remains the same. Further restricting the sample to fathers of at least two children, effects of having a second child are estimated to be negative, indicating that fathers of two children are positively selected with respect to wages. There are no significant differences when we use the observed level of education at age 22 instead of 25.13 The statistically and economically significant wage penalty to fatherhood that we find here contrasts with the findings of other studies on US data (Lundberg and Rose 2000, 2002), and also those by Simonsen and Skipper (2008) for Denmark. Wilde et al. (2010), who restrict their sample to those who become fathers, also find small negative effects on men’s wages of having children. The estimated effects of further children are positive and statistically significant for men in the two lower education groups—and in the sample as a whole. However, 11 For comparison, the average return to one more year of education for women in Norway in this period, lies between 5 and 6 % (Hægeland and Kirkebøen 2007, p.14) and the gender wage gap in Norway lies around 16 % (NOU 2008:6). 12 Results are available from the authors upon request. 13 Results are available from the authors upon request. 123 S. Cools, M. Strøm when we restrict the sample of men to those who are eventually observed to have at least two children, the estimated impact of the second child is negative. 5 Explaining the wage penalties to parenthood We examine the determinants of the motherhood wage penalty in two different ways. In this section, we investigate how changes in observable circumstances explain the wage effect of children. Specifically, we study the respective roles of work experience, parental leave, part time work and sector of employment. As discussed in Sect. 3, the sample we use are those who have their first child between 1993 and 2008. Panel A gives the baseline results from estimating Eq. 1 for this sample. Results are very similar to those for the whole sample, given in Table 2. In Panel B, the potential explanatory variables are included in the regression. Comparing the two panels of Table 3 for women, we see that inclusion of these variables does not significantly alter the coefficients. If anything, the estimated impact of children is larger when they are included. We explored the results further by including only one variable at the time. This showed that adding measures for experience, maternity leave and sector of work does not alter the estimated impact of having children on women’s wages. However, when a dummy for working less than 30 h per week is added, the estimated wage penalty becomes greater. It is thus the case that working part time, in itself positively associated with hourly wage in all education groups (except in the highest one where there is no significant association), is also positively correlated with having children. When the part time dummy is omitted from the analysis, the effect of children on wages is smaller because switching to part time work ameliorates the wage penalty to motherhood. The economically insignificant role of experience, part time work and parental leave in explaining the motherhood wage penalties point to the importance of labor market policies, as these variables are found to explain a large part of the motherhood wage penalty in other countries (Waldfogel 1997; Lundberg and Rose 2000; Budig and England 2001; Datta Gupta and Smith 2002; Anderson et al. 2002; Wilde et al. 2010). A possible explanations for the small role of career breaks is that policies of job protection during child related absence from work have an effect14. A less optimistic explanation is that career breaks around birth are already accounted for in the wage offer that the woman gets even before pregnancy. This is the reasoning in Albrecht et al. (1999), who do not find a negative effect of child related career breaks for Swedish women. It could also be that women have already chosen jobs where the negative effects of a career break are small. If women select into more child-friendly occupations even before they have children, some of the motherhood wage effect is already realized. Adda et al. (2011) suggest such a prebirth wage penalty is substantial. 14 The positive effects of job protection on mothers’ wages may explain parts of the differences in the size of motherhood wage penalties across countries (Sanchez-Marcos 2013). 123 Parenthood wage penalties in a double income society Table 4 The effect of children on women’s hourly wage All Secondary education Higher education (1) Lower (2) Lower deg. (4) Upper (3) Higher deg. (5) Panel A: no parental leave First child Age 1–5 Age 6–10 Age 11–13 0.026*** 0.034*** 0.033*** 0.0099* 0.033 (0.0036) (0.0074) (0.0063) (0.0052) (0.038) 0.042*** 0.040*** 0.036*** 0.017** 0.026 (0.0044) (0.0088) (0.0079) (0.0067) (0.050) 0.050*** 0.039*** 0.035*** 0.026*** 0.15** (0.0057) (0.011) (0.010) (0.0091) (0.066) Observations 245,061 63,128 73,200 103,659 5,074 Individuals 58,494 20,352 16,888 20,253 1,001 Panel B: short length parental leave First child Age 1–5 Age 6–10 Age 11–13 0.020*** 0.0096*** 0.027*** 0.022*** 0.047*** (0.0017) (0.0036) (0.0028) (0.0025) (0.011) 0.035*** 0.013** 0.036*** 0.031*** 0.051*** (0.0025) (0.0053) (0.0041) (0.0038) (0.017) 0.042*** 0.014* 0.038*** 0.035*** 0.023 (0.0035) (0.0070) (0.0057) (0.0056) (0.026) Observations 397,366 89,395 140,172 158,203 9,596 Individuals 68,809 18,111 25,993 23,322 1,383 Panel C: middle length parental leave First child Age 1–5 Age 6–10 Age 11–13 0.029*** 0.017*** 0.037*** 0.029*** 0.043*** (0.0017) (0.0038) (0.0029) (0.0026) (0.013) 0.047*** 0.021*** 0.051*** 0.040*** 0.039* (0.0026) (0.0055) (0.0044) (0.0041) (0.020) 0.059*** 0.027*** 0.054*** 0.048*** 0.019 (0.0036) (0.0073) (0.0060) (0.0059) (0.031) Observations 351,706 75,906 125,978 142,738 7,084 Individuals 59,327 14,507 22,847 20,931 1,042 Panel D: long length parental leave First child Age 1–5 Age 6–10 Age 11–13 0.025*** 0.015*** 0.035*** 0.021*** 0.059*** (0.0020) (0.0055) (0.0037) (0.0027) (0.012) 0.040*** 0.026*** 0.046*** 0.033*** 0.057*** (0.0029) (0.0075) (0.0052) (0.0040) (0.017) 0.055*** 0.041*** 0.053*** 0.046*** 0.057** (0.0040) (0.010) (0.0071) (0.0056) (0.025) 123 S. Cools, M. Strøm Table 4 continued All Secondary education Higher education (1) Lower (2) Lower deg. (4) Upper (3) Higher deg. (5) Observations 396,786 60,440 130,141 193,584 12,621 Individuals 62,649 11,366 22,853 26,721 1,709 Subsample analysis according to relative length of parental leave Each column in each panel provides FE estimates from a regression based on Eq. 1 for the sample of individuals who had their first child in 1994 or later. Year dummies, a polynomial in age, individual fixed effects and controls for further children, being pregnant and having a baby younger than one year are included in all specifications. Robust standard errors are in parentheses. * p\0:10; ** p\0:05; *** p\0:01 In themselves, experience and part time work are generally positively associated with the level of wages, whereas maternity leave hardly seems to matter. Public sector work is negatively associated with wages in all education categories except for the one with lower degree higher education, where the association is strong and positive. If women choose to work in the public sector because they plan to have children (and believe that a public sector job entails better job protection, greater flexibility or lower attrition of skills during career breaks), the true effect of having children on women’s wages is larger than our estimates, as some of the cost is taken even before birth. In Table 3, column (6)–(10), the corresponding results are given for men who had their first child in 1993 or later. Panel A shows that in this sample the average effect of children on wages for all men, irrespective of education level, is negative, at .59 %. This sample thus differs significantly from both the baseline sample used in Table 3 and a sample excluding childless men. This is reflected also in a stronger point estimate for the wage penalty in the two middle education groups, at .66 and .60 % respectively (columns (8) and (9)). The difference is due to the exclusion of parents to children born before 1994. The results are consistent with the observation that men increasingly share in the caring for children, consequently also sharing in the wage effects. When we include the potentially explanatory variables in the regression the impact is significant, although most of the effect estimated for the whole sample is left unexplained. The coefficient on having a first child aged between 1 and 5 years is no longer significant for the group with higher education, lower degree (column (9)), and for the group with upper secondary education it is cut in half. Also the persistence of the effect, reflected in the coefficients on having a first child aged 6–10 years and 11–14 years, is reduced, although not by as much. Including each of these variables separately shows that the wage penalty to fatherhood hardly covaries with experience, part time work or sector of employment. It is the inclusion of parental leave that matters for the estimated effect on men’s wages of having children. In the two groups where having children does have a statistically significant impact on men’s wages, paternity leave explains a substantial part of the effect. 123 Parenthood wage penalties in a double income society The variation in parental leave in itself explains a great deal of men’s hourly wages. For the three highest education groups (columns (8) to (10)), one year of parental leave is associated with a 3–4 % reduction in wages—about the whole wage penalty for women, who typically take somewhat less than a year of leave. We are not able to determine to what extent this is due to the adverse effect of paternity leave on human capital accumulation or whether the length of paternity leave reflects men’s propensity to spend more effort at home relative to market work, thereby reducing wages. The finding that parental leave is more strongly associated with the wage effects of parenthood for men than for women is in accordance with Albrecht et al. (1999)’s finding in their study on Swedish data. They find that career breaks around birth are associated with negative wage effects only for men, not for women. Their interpretation is that the negative wage effect stems from the employer offering lower wages to women even before they have children because they expect women to have a career break around birth. Employers do not expect the same from men, and parental leave is therefore a stronger signal of the strength of men’s commitment to market work. Another possible explanation that would give the same empirical pattern, however, is that men to a larger extent than women choose jobs where a career break has a larger effect. Part time work is associated with higher wages for those with secondary education (columns (7) and (8)) and with lower wages for those with higher education (columns (9) and (10)). Public sector work is generally associated with having lower wages, except in the group with lower degree higher education—like for women. 6 Heterogeneous effects In this section we investigate whether the wage penalty is stronger for some groups than for others. We do this by running separate regressions on different subgroups; on those who take relatively longer or shorter parental leave, on those who work full time and part time, and on those who work in the public or in the private sector. Individuals are sorted into groups based on the observed length of parental leave taken with the first child, or according to sector or working time category the year before their first child is born. As the variables we condition on are available from 1993 onwards, we limit the sample to individuals having their first child after 1993 (like in Sect. 5). 6.1 Parental leave Probably the most direct labor market effect of having children is the period of parental leave. In Tables 4 and 5, we investigate whether parenthood wage effects are stronger for those who take relatively longer leave. We have divided the samples in four: Those who take no, little, middle and long leave. The division into ‘‘little’’, ‘‘middle’’ and ‘‘long’’ is based on the assigned percentile in the distribution of all parents of the same sex with children born in the same quarter of the year. The 123 S. Cools, M. Strøm distribution is divided in three. For men, though, there is very little spread in the number of leave days taken, and the middle group—containing less than 1 % of the sample—has therefore been included in the group of men taking a short period of leave. Table 5 The effect of children on men’s hourly wage All Secondary education Higher education (1) Lower (2) Upper (3) Lower deg. (4) Higher deg. (5) 0.011 Panel A: No parental leave First child Age 1–5 Age 6–10 Age 11–13 0.015*** 0.011*** 0.0093*** -0.012*** (0.0019) (0.0031) (0.0030) (0.0039) (0.011) 0.032*** 0.017*** 0.019*** -0.023*** 0.023 (0.0027) (0.0044) (0.0043) (0.0054) (0.016) 0.047*** 0.024*** 0.031*** -0.026*** 0.0070 (0.0037) (0.0060) (0.0059) (0.0077) (0.023) Observations 618,598 207,085 242,647 153,265 15,601 Individuals 127,953 50,982 48,601 25,839 2,531 0.00090 Panel B: short or middle length parental leave First child Age 1–5 Age 6–10 Age 11–13 0.0013 0.0044 0.0031 0.0014 (0.0016) (0.0032) (0.0024) (0.0030) (0.0096) 0.0076*** 0.0077* 0.0097*** 0.0041 0.0015 (0.0024) (0.0046) (0.0036) (0.0044) (0.014) 0.016*** 0.0050 0.016*** 0.0079 0.0094 (0.0035) (0.0066) (0.0052) (0.0066) (0.020) Observations 651,320 161,248 286,487 184,084 19,501 Individuals 111,740 30,629 51,018 27,233 2,860 0.014*** 0.0018 0.016*** 0.014*** 0.025** (0.0032) (0.0078) (0.0057) (0.0047) (0.012) 0.020*** 0.012 0.021** 0.018** 0.028 (0.0048) (0.011) (0.0083) (0.0072) (0.018) 0.019** 0.023 0.023* 0.017 0.000059 (0.0075) (0.016) (0.013) (0.012) (0.028) Observations 132,112 22,129 46,954 53,934 9,095 Individuals 20,517 3,967 7,803 7,487 1,260 Panel C: long length parental leave First child Age 1–5 Age 6–10 Age 11–13 Subsample analysis according to relative length of parental leave Each column in each panel provides FE estimates from a regression based on Eq. 1 for the sample of individuals who had their first child in 1994 or later. Year dummies, a polynomial in age, individual fixed effects and controls for further children, being pregnant and having a baby younger than one year are included in all specifications. Robust standard errors are in parentheses. * p\0:10; ** p\0:05; *** p\0:01 123 Parenthood wage penalties in a double income society Among the parents who are not registered with taking any paid parental leave are both individuals who have have not earned the right to paid parental leave and individuals who may have earned the right but do not use it. It is very uncommon for women not to use the right to maternity leave, hence the group of women taking no leave can generally be thought of as consisting of women who did not earn the right. For men, it is much more common not to take the paid leave granted them. Also, men’s right to wage compensated paternity leave does not only depend on their own earned right but also on the child’s mother having earned the right. Hence the group of men taking no leave is more mixed, consisting of men who did not earn the right, men whose spouse did not earn the right, and men who have the right to paid parental leave but do not use it. The results for women are given in Table 4. On average, there is not much variation in the immediate effect of having children between the four groups, and though there is some variation within each education group according to the relative length of maternity leave taken with the first child, there is no clear pattern of statistically significant difference between the groups. In the group of women with the highest education (column (5)), taking longer leave, relative to taking no leave at all, is clearly associated with a greater wage penalty to having children the first four years after the wage compensated maternity leave period is over. For the two groups with no more than secondary education (columns (2) and (3)), the wage penalty during the first years is stronger for the group who does not take paid maternity leave, and then it increases in the relative length of the leave period. All in all, the wage penalty to motherhood is not very clearly linked to the length of maternity leave (as is also found by Albrecht et al. (1999)). This is consistent with the insignificant role of maternity leave in explaining motherhood wage penalties discussed in Sect. 5, and is a further indication that in the Norwegian institutional context career breaks are less important for how wages develop after having children. The results for men are given in Table 5. For men, there is a U-shaped relationship between the penalty and the propensity to take leave. The wage penalty to fatherhood is greatest for the group of men taking no leave and the group of men taking longer leave than what is usual. The average wage penalty in the two groups of men is considerable, at about 1.5 %. As mentioned, the group of men taking no leave is a diverse group, making the interpretation of the results for this group harder to interpret. A stronger parenthood wage effect for men taking longer parental leave is on the other hand in line with the findings of Albrecht et al. (1999). 6.2 Full time versus part time employment Having children is associated with a reduction in working hours both for men and women—but mainly for women (Cools and Strøm 2012). As documented in Sect. 5, changing working time status to part time is what correlates most with a motherhood wage penalty. Here we investigate whether wage penalties are smaller for those who already work part time before having children. However, if part time work is chosen in advance because the individual plans to have a child, this would cause an upward bias in our estimates of the effect of having children. 123 S. Cools, M. Strøm Table 6 The effect of children on hourly wage All Secondary education Higher education (1) Lower (2) Upper (3) Lower deg. (4) Higher deg. (5) 0.035*** 0.020*** -0.039*** 0.033*** -0.056*** (0.0011) (0.0026) (0.0019) (0.0015) (0.0067) 0.054*** 0.030*** -0.052*** 0.045*** -0.053*** (0.0016) (0.0039) (0.0028) (0.0023) (0.010) 0.067*** 0.036*** -0.057*** 0.056*** -0.039** (0.0023) (0.0052) (0.0040) (0.0033) (0.016) Observations 941,388 155,330 311,908 444,460 29,690 Individuals 152,488 29,385 55,171 63,681 4,251 0.020 Panel A: full time, women First child Age 1–5 Age 6–10 Age 11–13 Panel B: part time, women First child Age 1–5 Age 6–10 Age 11–13 0.014*** 0.0055 0.020*** 0.011*** (0.0024) (0.0046) (0.0038) (0.0043) (0.036) 0.022*** 0.0070 -0.027*** 0.012** 0.029 (0.0035) (0.0065) (0.0055) (0.0061) (0.051) 0.026*** 0.012 -0.027*** 0.0071 0.044 (0.0048) (0.0086) (0.0076) (0.0085) (0.067) Observations 230,963 61,801 89,058 78,610 1,494 Individuals 42,296 12,490 16,703 12,852 251 0.00088 Panel C: full time, men First child Age 1–5 Age 6–10 Age 11–13 0.0084*** 0.0021 0.0075*** 0.0087*** (0.0013) (0.0024) (0.0019) (0.0024) (0.0065) 0.026*** 0.0071** 0.019*** 0.020*** 0.0069 (0.0019) (0.0035) (0.0029) (0.0035) (0.0093) 0.040*** 0.015*** 0.027*** 0.030*** 0.014 (0.0027) (0.0050) (0.0041) (0.0053) (0.014) Observations 1,083,899 275,061 467,116 304,117 37,605 Individuals 187,504 53,613 83,455 44,952 5,484 0.0089* 0.00051 0.0096 0.013* 0.021 (0.0046) (0.0083) (0.0078) (0.0079) (0.036) 0.023*** 0.016 0.022* 0.034*** 0.012 Panel D: Part time, men First child Age 1–5 Age 6–10 Age 11–13 123 (0.0065) (0.012) (0.011) (0.011) (0.055) 0.036*** 0.023 0.028* 0.070*** 0.032 (0.0092) (0.017) (0.016) (0.015) (0.080) Parenthood wage penalties in a double income society Table 6 continued All Secondary education Higher education (1) Lower (2) Upper (3) Lower deg. (4) Higher deg. (5) Observations 95,634 28,386 33,631 32,228 1,389 Individuals 17,845 6,080 6,356 5,190 219 Subsample analysis according to being employed full time or part time the year before having children Each column in each panel provides FE estimates from a regression based on Eq. 1 for the sample of individuals who had their first child in 1994 or later. Year dummies, a polynomial in age, individual fixed effects and controls for further children, being pregnant and having a baby younger than one year are included in all specifications. Robust standard errors are in parentheses. * p\0:10; ** p\0:05; *** p\0:01 The results for women are given in Panel A and B in Table 6. On average, the negative wage effects of having children are two to three times stronger for the women who were registered with full time employment the year before they had children, compared to the women who had part time employment before having children. Also, on average, there is a clear pattern of the wage penalty increasing over time for the group of full time working women, reaching a wage reduction of 6.7 % when the first child turns 11 years old. In the very small group of women with the highest education who worked part time before having children, we see the first instance of a wage premium to having children, reaching 7.8 % and significant at the 5 % level by the time the child turns 11 years old. This may indicate that for women who already started part time work before having children, the extra effort put into child rearing does not intervene as strongly with the effort put into work.15 Panel C and D in Table 6 give the corresponding results for men. Here, the difference between the two groups is even more striking. The men who worked full time before becoming fathers on average experience a wage penalty to fatherhood, at .88 %. This is a 50 % larger penalty than the .51 % wage penalty estimated for the whole sample given in Table 6. The penalty grows significantly over time, like the case is for women who work full time before having children. The wage penalty estimated for the sample of full time working men is on average stronger than for the part time working women, especially as the first child grows older. Consistent with the conjecture that part time workers face less of a trade-off in effort between home and market work (they may thus even spend more effort at work after they have children), for men who worked part time before becoming fathers we find statistically significant wage premia to fatherhood when looking at the whole sample (column (1) in Panel D) and in the two middle education groups. The premium grows as the child gets older. We also investigated the heterogeneity of effects according to sector of employment and found that wage penalties are larger for both men and women 15 If part time work is chosen by women because they anticipate childbearing, the wage penalty may have been realized even before the child is born, and will not be picked up by our estimates. 123 S. Cools, M. Strøm working in the private sector prior to having the first child.16 The results are consistent with the hypothesis that parenthood wage effects are due to reduced effort at work. A slowing down of wages in a sector with large wage potential, has large consequences for the individual. 7 Conclusion In spite of the encouragement built into the labor market institutions of the Nordic countries to combine work and family, the two remain in conflict, as is pointed out by the wage penalties to parenthood documented in this paper. Like in most other countries, women bear the greater share of the cost of having children also in Norway. Wage penalties to motherhood are however smaller than what is observed in many other countries, where the previous literature has found that career breaks and loss of work experience explain a large share of the wage penalty. As such measures of human capital do not seem to explain the family gap in Norway, these findings indicate that family policies such as paid parental and job protection contribute to reducing the adverse wage effects of parenthood. We find indicative evidence that a reduced effort is more important than loss of human capital in explaining the family wage gap. With a larger workload at home, effort at work can be affected negatively. In groups where wages may be expected to depend more on effort—higher educated women, women working full time and in the private sector—we find larger wage penalties to motherhood. Contrary to earlier studies using US data and to previous research from Norway, we find negative (though comparatively small) wage penalties also to fatherhood, consistent with men’s increasing involvement in child rearing. Contrary to the findings for women, the length of parental leave can explain a large share of the fatherhood wage penalty. Parental leave periods for fathers are generally short, and the asymmetry in the importance of parental leave between men and women may reflect that the length of parental leave serves as a signal of future effort at work, rather than being an adverse human capital effect (Albrecht et al. 1999). We conclude that in the Norwegian context, human capital is of little importance in explaining the family gap in wages. It may as such serve as an explanation for why the observed motherhood wage penalty is smaller in Norway than in many other countries. 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