287 LIFE COURSE PERSPECTIVE ON ECONOMIC SHOCKS AND INCOME INEQUALITY THROUGH AGE-PERIOD-COHORT ANALYSIS: EVIDENCE FROM FINLAND by Esa KaronEn* and MiKKo niEMElä University of Turku Utilizing age-period-cohort analysis, this paper examines the development of income distribution across periodic economic fluctuations in relation to cohorts and age groups. The empirical analysis is based on the Finnish Income Distribution Statistics and Household Expenditure Surveys covering the period of 1966–2015. The findings suggest that the period and cohort effects can be identified as the main effects on relative income, while the age effects have no meaningful impact when the control vari- ables are taken into account. This result reveals a connection between the effects of economic shocks and cohort placement on labor market entry. Additionally, absolute income analysis suggests that eco- nomic shocks create stagnation points in income development, which are especially detrimental to cohorts who are transitioning into labor markets. Additionally, middle-income attainment has not changed due to periodic shocks but rather is related to inter-cohort inequalities and relative income differences, where the baby boomer generation is a clear winner. JEL Codes: C31, D31 Keywords: age-period-cohort effects, income distribution data, income inequality, inter-cohort differences 1. introduction Research on economic inequality usually focuses on income dynamics ana- lyzed through the lenses of age and period characteristics. Cohorts are often ignored because of methodological limitations and the lack of appropriate data. Although there is a wide range of evidence for age and period effects on income dynamics, there is less information on the generational pattern of the relationship between income and cohorts. We argue that shifting our focus to cohort differences in relation to age and period may reveal significant differences in income dynamics across households (see also Lim and Zeng, 2016). The questions are whether there are inter-cohort inequalities and whether some cohorts hold a better economic position than others. In Finland, the trend of income inequality since the 1960s can be divided into five periods (Blomgren et al., 2014). First, the era of welfare state expansion in the 1960s and 1970s decreased income inequality regardless of the income concept. Notes: This research was supported by the Strategic Research Council of the Academy of Finland (decision numbers: 293103 and 314250). *Correspondence to: Esa Karonen, University of Turku, Assistentinkatu 7, 20014 Turku, Finland (eokaro@utu.fi). Review of Income and Wealth Series 66, Number 2, June 2020 DOI: 10.1111/roiw.12409 This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth bs_bs_banner Review of Income and Wealth, Series 66, Number 2, June 2020 288 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth Second, from the mid-1970s to the economic recession of the early 1990s, market income inequality increased but, due to income transfers, gross and disposable income inequality remained constant. Third, the recession of the 1990s increased inequality in market income but not in gross and disposable income. Fourth, whereas market income inequality since the mid-1990s has been constant, inequality in gross and disposable income increased towards the early 2000s. From a comparative per- spective, the increase in income inequality was exceptionally fast and steep in Finland during the period between 1995 and 2002 (OECD, 2008, 2011). Fifth, since the turn of the millennium, the development of income inequality has been rather stable. The Finnish evidence suggests that since the 1990s, changes in income inequal- ity have been associated with the economic cycle. Income inequality increased during periods of economic growth and decreased during economic downturns. However, the development of income inequality on the aggregate level cannot reveal the intricacies of income dynamics in terms of inter-cohort inequalities. This situation calls for a life course perspective that would identify—separately—the effects of age, time and generation. In this study, we define life course as life events, transitions and trajectories with cohort variation in development (Elder, 1997). Life course here is defined as developmental patterns that are structured by events and other biological and social constraints and that vary by historical time. The individual is defined as part of a certain historical period or an event by his/her birth year. The impact of a historical event is contingent on the point of intersec- tion of the life stage of the cohort (Elder, 1997). Such a perspective emphasizes that economic shocks could lead to an accumulating effect for certain cohorts. Hence, the Finnish case, combined with the long time-series data utilized in this study, pro- vides an ideal context in which to focus on age-period-cohort effects in income dis- tribution and, specifically, to chart the effects of the economic cycle. Prior research shows that there are significant generational differences in economic measures such as income, consumption and wealth (Jappelli, 1999; Berloffa and Villa, 2010; Lim and Zeng, 2016). In addition, empirical evidence from various countries supports the concern that younger generations are falling behind compared to older ones in regard to the evolution of household income (e.g. Smeeding and Sullivan, 1998; Gosling et al., 2000; Beaudry and Green, 2000; Fitzenberger et al., 2001; Grenier, 2003; Osberg, 2003; OECD, 2011; Ostry et al., 2014; Chetty et al., 2017). We approach our research questions from the perspective of the concepts of relative and absolute income. In practice, this means that we analyze income distri- bution from the “detrended” perspective, which will determine which birth-cohorts and age groups have benefitted the most in terms of relative income. This perspec- tive alone does not illuminate how inter-cohort income has developed over time in an absolute fashion; thus, we address this question in our “trended” approach, which measures how absolute income has developed over time in regard to cohort and age groups. Finally, we put absolute and relative income into the context of the “optimal” income class by measuring the attainment of middle-income according to the dimensions of age, period and cohort. Hence, our main contribution to the literature is to examine the effects of economic cycles on inter-cohort income inequality in an absolute and relative manner, taking into account the three dimen- sions of age, time and cohort. In contrast, previous studies have mostly included only two of these three factors. Review of Income and Wealth, Series 66, Number 2, June 2020 289 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth This study aims to improve upon previous studies in multiple ways. First, this study will assess how income distribution has developed across periodic economic fluctuations in relation to cohorts and age groups. The central interest lies in how economic shocks and cycles affect income through inter-cohort income dynamics. Second, this study utilizes register-based datasets with significant periodic range, which are capable of revealing the long-term effects of various economic cycles. Cohort studies have usually been conducted on data that do not have a satisfy- ing yield in statistical years. Finland is a unique case, with its economic history that contains four distinct economic shocks. Therefore, the Finnish case offers the opportunity to observe multiple points of economic fluctuation over time. Third, the main drawback of previous research on income inequality and the distribu- tional effects of economic cycles is that this research has usually used narrower models, which only take two factors of the age-period-cohort triad into account, whereas we consider all three factors at the same time. What makes our contribu- tion stronger is our use of a relatively new method of age-period-cohort modeling, which is capable of measuring relative and absolute changes in income distribution. This paper is organized as follows. Section 2 discusses related studies. Section 3 presents the data and descriptive facts about age-period-cohort (APC) profiles that motivate the specification of the statistical APC models in Section 4. Section 5 pres- ents the empirical results of our age-period-cohort analysis of income distribution in Finland during the period between 1966 and 2015. Analyses provide illustrated graphs and tables of the estimates for both the detrended and trended APC models. Finally, Section 6 offers concluding remarks and discussion. 2. rElatEd studiEs and thE FraMEworK oF analysis A generation carries a unique “scar” that it acquires through shared social- ization, as seen in how different birth-cohorts grow up in a similar historical period (Mannheim, 1928). In an economic context, this can be described as inequality because some cohorts may have a smoother entry into the labor mar- ket due to their specific economic situation. Thus, an economic up- or down- turn can play an enormous role in how a given generation is able to establish itself during changing market situations. For example, cohorts that have become adults during economic booms are more likely to profit from that favorable mar- ket situation. Conversely, cohorts who are “scarred” by an economic downturn may be more risk-averse and have a more disadvantaged economic trajectory from a life course perspective (Malmendier and Nagel, 2011). These observations have created building blocks for the life course hypothesis and paved the way for new developments of the theory whose main themes revolve around the idea of systematic cycles of advantaged and disadvantaged generations (Myles, 2002, p. 138). This approach was pioneered by many researchers (e.g. Campbell et al., 1976; Clark and Oswald, 1994; Kahneman et al., 1999; Frey and Stutzer, 2002; Helliwell, 2003; Layard et al., 2012) who focused on how well-being is affected by other outcomes such as income, employment and educational qualifications. Changes in income trajectories and distribution can be tracked through out- ward stimuli, for example, through macro-economic shocks (Mayer, 2005). Periodic Review of Income and Wealth, Series 66, Number 2, June 2020 290 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth change indicates how socio-political reactions against economic downturns have changed the income dynamics between generations. Mayer (2005) argues that these cohort changes are key to creating a more solid picture of how different mechanics of inequalities across generations are constructed. Regarding the external stim- uli that Mayer mentions, there have been various alternating phases of economic downturns and growth in Finnish economic history. The cycle of 1970 to 1974 was linked to the 1973 oil crisis, which was followed by a phase of economic growth from 1980 to 1990. The period from 1990 to 1995 was the most significant shock that Finland has ever faced and has largely been considered “the great depression”. These shocks offer excellent effects through which to observe the influence of eco- nomic cycles on inter-cohort income dynamics. Results from previous cohort studies examining income inequality can be summarized in three observations. First, it seems that the “baby boomer” gener- ation has benefitted most from its birth cohort compared with other generations. Studies have researched the impact of cohort membership on disposable income in European welfare states and the United States (Chauvel, 2013; Chauvel and Schröder, 2015; Freedman, 2017). These studies show that there are discrepancies in income accumulation between cohorts, which means that having been born in the “baby boomer” generation seems to give an advantage. Second, economic shocks have been identified as a major influence on inter-cohort income inequality. The main hypothesis states that cohorts that enter the job market during times of austerity and economic downturn are—compared to cohorts born during an eco- nomic upturn—in a more disadvantaged position with regard to attaining similar career options. For example, younger generations have an 8 percent lower expected income in Italy than older generations, which is a result of the economic situa- tion and different socio-political reforms (Berloffa and Villa, 2010). Additionally, research on income and wealth inequality has reported that younger generations have lower living standards than their parents did at similar ages in Great Britain (Crawford et al., 2015), Europe (OECD, 2011), the United States (Chetty et al., 2017), Canada (Kershaw, 2015) and Australia (Daley and Wood, 2014). Third, one effect is the role of educational expansion, which is linked to the profits gained from certain educational fields (Pekkala and Lucas, 2004). Older generations had the opportunity to work towards higher education but also benefitted from growing job markets and low competition within the same educational field. As educational expansion advanced, the younger generations had to compete with an ever-growing pool of highly educated individuals for the same jobs. Thus, according to supply and demand, higher degrees hold less profit-making value for younger generations than for older generations, who reaped the benefits of starting their careers in an optimal job market situation while also gaining work experience. The Finnish context tells a similar story. Riihelä (2006) found that the younger generation, who faced an economic shock, attained a lower income level than what would be expected according to the life-cycle hypothesis. This result illustrates how the role of economic cycles affects income trends between generations. These cycles are linked to periodic changes in the market, and certain birth cohorts occur to be at the “right place at the wrong time”. Additionally, there are indications that inter- generational income mobility did not increase much beyond the levels achieved among the “baby boomer” cohorts born in 1945–1950, although these older Review of Income and Wealth, Series 66, Number 2, June 2020 291 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth cohorts benefitted from educational expansion and a more advantageous labor market situation (Pekkala and Berman, 2002; Pekkala and Lucas, 2007). Overall, relative income mobility has decreased over time among young adults. However, the decrease is related to the rise of permanent income inequality (Suoniemi, 2012). Additionally, the development of pension policy has particularly strong impacts on both poverty cycles and economic well-being among the elderly (Jäntti et al., 1996; Kangas and Palme, 2000). 3. data, VariablEs and stylizEd Facts Our empirical analyses are based on the Finnish Income Distribution Statistics (IDS) and the Finnish Household Expenditure Surveys (HES) provided by Statistics Finland. Both datasets belong to the series of the Official Statistics of Finland (OSF) and the European Statistical System (ESS). HES provide data on incomes and expenditures in 1966, 1971, 1976, 1981 and 1985. The data are par- tially derived from interviews, and since the 1971 survey, they have been derived from official registers. IDS provide data on incomes, and the data have been collected annually since 1987. Thus, the period of analysis in this study is 1966- 2015. In both cases, the income data are collected from tax and other registers and are generally considered to be of high quality. The data are harmonized to be a representative sample of the Finnish population. The basic unit of anal- ysis is the household. The sample size varies from 4,471 households in 1966 to 10,620 households in 2015. The mean sample size is 10,216 households. The data are multiplied to the level of total population by special weights included in the household surveys. In the household assets, the person with the highest personal income is chosen as the household’s reference person, which serves as a proxy for demographic and background status. The income variables measure the house- hold’s income and individual income of the household’s reference person. The descriptive statistics of the merged data are shown in Table A.1. In regard to dependent variables, the income metric is the annual household disposable income, which includes monetary income items and benefits in kind connected to employ- ment relationships, but does not include imputed income items such as imputed rent (see OSF, 2015). Household income is not top coded. The dependent variable is the logged equivalized annual household disposable income, which is adjusted for inflation. As a common practice for empirical application, we have bottom-coded all of the negative income values as zeroes, because in equivalization it makes little sense to apply equivalization to negative values (see OECD, 2012, 2015). Conceptually, we measure disposable household income in the form of relative income, absolute income and attainment of middle income. Relative income reveals how income is in relation to other households of society, weighing it against the standards of the given period, whereas absolute income reflects the total amount of a household’s earnings received in a given period. Attainment of middle income is annual income, which is transformed as income deciles and derived as a dummy variable: the first and second quintiles equal zero, and the third to fifth quintiles equal one. The aim is to measure the attainment of income class, which exceeds the threshold of the middle-income level. Review of Income and Wealth, Series 66, Number 2, June 2020 292 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth This research uses the equivalence scale, which is a variant of the Oxford scale. The equivalence scale is constructed with the formula m = 1 + a(A-1) + bL, where A is the number of adults and L is the number of children in the household. The value of parameter a is 0.5, and b is 0.3. Because of the inadequate information on children’s ages, this paper uses the equivalence scale, where the reference is 18 years old or above, unlike the Oxford scale, in which the reference person of the house- hold is 14 years old or over. For the purposes of this study, the analyses are limited to the population aged 20 through 70 years. The rationale for excluding the 18- and 19-year-old age groups is the requirement for conscription in the Finnish Defense Force (6-12 months) and the requirement for civilian service (12 months). For example, conscription usually occupies approximately 14000 people annually. Thus, excluding this age group will also provide a more neutrally distributed sample. Cohort variables were constructed to be consistent with previous studies and with the orthogonal requirements of the age-period-cohort models (Chauvel, 2011; Chancel, 2014; Chauvel and Schroder, 2015). We conducted sensitivity tests to find the optimal cut-off values for the APC variable grouping (not shown here) and decided to use 5-year intervals to maintain acceptable observation size and Figure 1. Stylized Facts of Age-Cohort-Period Profile Review of Income and Wealth, Series 66, Number 2, June 2020 293 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth measurement accuracy for each group. This choice was also made to mitigate possible volatility connected to measurement range and observation sizes within groups (see Luo et al., 2016). Cohorts were cut in 5-year intervals spanning the period from 1945 to 1995. The formed variables were constricted by the age factor of 20- to 70-year-olds to restrict the range to the active working population. The period variables were formed between 5-year intervals. The reasoning behind this decision was the rhythm of economic cycles. Figure 1 illustrates the average disposable incomes by age-period-cohort pro- files. The profile of disposable income across different age groups takes the form of an upside-down U-shape, although those between 30-40 years of age have a slight lag before their income trajectory takes off more rapidly. The cohort profiles show an aggregate trend in which persons born from 1940 to 1960 share almost the same level of disposable income. After this point, younger cohorts fall off the horizontal, as expected, because their educations are in progress and their transition to the job market is not yet complete. When the reference person of the birth-year is 48 years old, the income trajectory is uniform against the period estimates. A limitation of the dataset is the absence of a variable for gender. During the measured time period, Finland saw an increase in female labor force participation, which not only affected the incomes of households in which women were working but also the (relative) position of households in which women were not working. Taking this trend into account would be relevant. Previous research has indicated that education plays a tremendous role in income development (OECD, 2015; Psacharopoulos, 1994). Educational expan- sion explains a large part of income development; especially important are an increased amount of monetary support from the state and the availability of free higher education. Figure A.1 shows a clear shift from lower education to higher education. This educational expansion is relevant because it illustrates one of the key aspects of Finnish socio-political mechanisms. Education has been a major political investment, especially since the crisis of the 1990s, and has partly hastened the evolution of income development. In particular, the amount of polytechnic and tertiary education has risen significantly, which means that almost half of the population has a higher education degree (Statistics Finland, 2015). 4. statistical ModEl 4.1. Age-Period-Cohort Conundrum Age-period-cohort models are designed to estimate inter-cohort income tra- jectories through the effects of age, period and cohort from two contextual view- points: the relative and absolute contexts. Cohorts are the key research unit but also the main object of study in research on inter-cohort differences. Although many papers have proposed that answers lie in the empirical estimations and effects of age (a), period (p) and cohort (c), there is an underlying predicament with regard to retrieving results. One major problem has been the “identification problem,” which arises from the equation c=p−a. The variables are collinear to each other, so when two variables of age, period or cohort are known, the third is also known. Collinearity between regressors indicates that the statistical Review of Income and Wealth, Series 66, Number 2, June 2020 294 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth model produces an infinite number of possible solutions for the least squares or maximum likelihood estimators (Yang et al., 2004). Thus, the main dilemma is that the model does not hold a unique solution, and such a solution cannot be identified. Age-period-cohort models are an attempt to grasp the identification problem. The model aims to explain outcomes through three components: the individual’s age a (훼a), membership in a cohort c (훾c) and statistical period p (휋p). Thus, the equation can be stated as follows: The key function of the APC model is to detect “how” an outcome is explained by the position in the life cycle (age), date of birth (cohort) and the time of the statis- tical measurement (period). Previous research has solved the identification problem by imposing special restrictions on the model (Mannheim, 1928; Ryder, 1965; Mason et al., 1973; Hobcraft et al., 1982; Yang et al., 2004; O’Brien, 2011). These restrictions are built to constrain the coefficients of some variables. An example of this is the Constrained Generalized Linear Model estimator (CGLIM), which uses a theoret- ical foundation wherein constraints use extra information to constrain coefficients based on theory. The CGLIM’s reliance on external information is problematic because such information often does not exist and CGLIM is sensitive to the choice of constraints, as Glenn (1976) notes. This problem is one of the reasons why the intrinsic estimator model (IE) was created by Yang et al. (2004, 2008). The IE uses—as its core—principal component analysis to reduce the collin- ear APC dimensions to a bidimensional plane. Additionally, this solution is criti- cized by O’Brien (2011) and Luo (2013), who note that the intrinsic constraint is as arbitrary as in any other CGLIM. For example, O’Brien (2011) and Chauvel (2013) have shown that the model fails empirical tests such as that of detecting educational levels (see the discussion in Pelzer et al., 2015). Instead of utilizing the “intrinsic” models, this paper uses a variation, the APC “detrended” and “trended” method, which was developed by Chauvel (2011, 2012). These models have been used in empirical research and have produced reli- able estimates (see Chauvel, 2010, 2013; Chancel, 2014; Chauvel and Scröder, 2015; Freedman, 2017). 4.2. Age-Period-Cohort “Detrended” and “Trended” models The APCD model recognizes that because of the identification problem, linear trends in APC models cannot be robustly attributed to age, period and cohort. Instead, the “detrended” approach will focus on how the effects of age, period and cohort fluctuate around a linear trend, which this approach absorbs. In a more expressive manner, APCD is a “bump” detector that shows how dif- ferent cohorts differ from the linear trend. The APCD model uses a set of con- straints on the zero-sum, zero-slopes and on the domain of estimation of the cohort effects that excludes the first and the last cohort. Examples of excluded observations are the oldest age group of the first period and the youngest of (1) yapc=휇+훼a+휋p+훾c Review of Income and Wealth, Series 66, Number 2, June 2020 295 © 2019 The Authors Review of Income and Wealth published by John Wiley & Sons Ltd on behalf of International Association for Research in Income and Wealth the last period that appear once in the model. This method allows the model to become identifiable, obtain better estimates and provide a unique solution. The APCD model can be illustrated with OSL expressions. In this model, yapc stands for the dependent variable but also for the independent variables of age (a), period (p) and cohort (c). The APC effects are the following: period effect 휋p fits the categorical period, 훼a is the coefficient for the non-linear age changes, 훾c is the estimates for the cohort effects, 훽0 denotes the general intercept, and 훽jxj are coefficients for the control variables. Rescale (a) and rescale (c) are linear functions that rescale the indexes a and c, which transforms the coefficients 훼0 and 휋0 in a standardized form to a scale of −1 to +1. Both rescale (a) and rescale (b) absorb the linear trend. Finally, if 훾c, as the cohort effect coefficient, is zero, this means that the cohort does not show any unique cohort-specific behavior and that it maintains homogenous behavior or effect. The detrended version of the age-period-cohort model is stated as follows: The APCD model splits trends into two categories: the first category is based on the linear trend, and the second category is based on the non-linear trend on the fluctuations around the linear trend. The model works around the traditional identification dilemma by calculating the constrained trend with zero-sum and zero-slope parameters that are compared against a unique decomposition of a, p and c, which contain the estimated fluctuations (Chauvel, 2011). Briefly, when at least one coefficient has a difference to zero-slope coefficient, the APCD model will show the variations. When choosing the appropriate model between AP and the APC, it is practical to compare (Raftery, 1986) BIC values between the models to estimate which model has better explanatory power. With disposable income as the dependent variable, there are multiple reasons to analyze deviations from the linear trends. The APCD distinguishes the relative share of period variations between cohorts but cannot take the unconformity of changing living standards into account in an absolute manner. Thus, the APCT is developed as an instrument to measure absolute declines and progressions. The main modification to the APCD model is to remove the zero-slope constraint from the cohort coefficients and thus suppress the 훾0 rescale(c)-term. The period fluctuations are controlled in the same way in both APCD and APCT; however, rather than absorbing the long-term linear trend, the parameter 훾c acts as a trended cohort effect in the APCT-model. This trended effect denotes per-cohort change while being controlled. Thus, the APCT will estimate the pro- gression that controls for period fluctuations at a given age without being affected by the long-run period trends. Hence, the APCT will illustrate how inflation-adjusted disposable income changes between cohorts but will not show whether the change arises from cohort (2) ⎧⎪⎪⎨⎪⎪⎩ yapc=𝛼a+𝜋p+𝛾c+𝛼0 rescale (a)+𝜋0 rescale (p)+𝛽0+ ∑ j 𝛽jxj+𝜀i ⎧⎪⎨⎪⎩ ∑ a 𝛼a= ∑ p 𝜋p= ∑ c 𝛾c=0 Slopea(𝛼)=Slopep(𝜋p)=Slopec(𝛾c)=0 min (c)< c