Abstract
This article investigates the impact of international migration to the United States on the level and timing of Chinese migrants’ fertility. We compare Chinese women who did not leave the country (non-migrants) and were subject to restrictive family policies from 1974 to 2015 to those who moved to the United States (migrants) and were, thus, “emancipated” from these policies. We theoretically develop and empirically test the emancipation hypothesis that migrants should have a higher fertility than non-migrants, as well as an earlier timing of childbearing. This emancipation effect is hypothesized to decline across birth cohorts. We use data from the 2000 US census, the 2005 American Community Survey, the 2000 Chinese census, and the 2005 Chinese 1 percent Population Survey and discrete-time event history models to analyze first, second, and third births, and migration as joint processes, to account for selection effects. The results show that Chinese migrants to the United States had substantially higher childbearing probabilities after migration, compared with non-migrants in China, especially for second and third births. Moreover, our analyses indicate that the migration process is selective of migrants with lower fertility. Overall, the results show how international migration from China to the United States can lead to an increase in migrant women’s fertility, accounting for disruption, adaptation, and selection effects. The rapidly increased fertility after migration from China to the United States might have implications on other migration contexts where fertility in the origin country is dropping rapidly while that in the destination country is relatively stable.
Introduction
This article investigates the impact of international migration to the United States on Chinese migrants’ fertility by comparing them with non-migrants living in China. We focus on the effect of being free from China’s family policy. Hwang and Saenz (1997) describe this freedom as the “emancipation” effect, which means that the “fertility of Chinese women, which was kept low by the Chinese fertility policies, should bounce back after emigration to the United States” (p. 50). Indeed, China’s family policy allowed for only one child in most cases from 1980 to 2015. 1 Having more children than allowed led to a substantial financial penalty for Chinese families, equivalent to several times the annual household income for each child exceeding the quota 2 (The State Council Order No. 357, Administrative Measures for the Collection of Social Support 2002). International migration’s effects on the timing and level of fertility are obviously not limited to the possible emancipation effect or being free from China’s family policies. Several other processes linked to international migration — including the possible migrant selection effect in terms of (unmeasured) characteristics leading to a particular fertility behavior, the disruption caused by migration itself, and fertility’s adaptation to the new environment after migration — are likely to be intertwined with the emancipation effect and, therefore, require close examination (Kulu 2005; Adserà and Ferrer 2016).
Fertility levels in China and the United States show different trends over time. China saw its period total fertility rate (TFR) drop dramatically from more than six children per woman during the 1960s to approximately 1.66 children per woman by 2015 (World Bank 2015 3 ). While the United States has no restrictive birth control policy, 4 its TFR decreased slightly from 1960 to 1975 but bounced back and has since stabilized at approximately two children per woman (World Bank data 1960–2019). 5 The two countries’ period TFR levels intersected during the mid-1990s (see Figure 1). The drivers of fertility decline in China have been hotly debated (e.g., Gu et al. 2007; Cai 2010). Some have argued that the one-child policy “remains a core element” in China’s family policies and explains fertility trends (Gu et al. 2007). Others view China’s below-replacement fertility level as “to a great extent” driven by social and economic development (Cai 2010) or a fundamental shift in fertility intentions: in Jiangsu Province, among females eligible to have two children, many have had only one (Zheng et al. 2009).

One-child policy by woman’s age and cohort.
This article shows that Chinese migrants to the United States are disproportionally drawn from some groups within the Chinese population holding (unobserved) characteristics that lead to a lower fertility than Chinese non-migrants. Controlling for such selection, thus, is crucial for assessing the effects of emancipation from Chinese policies and for a non-biased estimation of the disruption and adaptation effects. Consistent with Hwang and Saenz (1997), this article finds that migration to the United States led to an acceleration of first-birth timing after migration and a sharp increase in the second- and, to a lesser extent, third-birth probabilities. Second births, we show, are the most affected by China’s one-child policy, and the dramatic increase in their probabilities after migration to the United States implies a convergence for migrants’ fertility with that of native-born women in the United States. Moreover, we demonstrate that this emancipation effect decreases across birth cohorts (i.e., for women born from the 1960s to the 1980s), consistently with the underlying downward fertility trend in China and a weaker role of China’s family policies on fertility levels attained. This article also shows that son preference is altered by migration. If a woman’s previous births were all females, those who were migrants were less likely to continue giving birth than were non-migrants, showing adaptation to a destination society with a weaker preference for sons.
This article’s contribution to studies on migrant fertility is threefold. First, it analyzes the emancipation hypothesis, using recent data that reflect major changes that have occurred to both internal and international migration in China (Liang and Miao 2013), and, thus, updates and adds to earlier work (e.g., Hwang and Saenz 1997). Second, this article examines the emancipation hypothesis more directly than previous scholarship (e.g., Hwang and Saenz 1997) by comparing the fertility of Chinese females subject to China’s family policy (according to time and province) with the fertility of Chinese female migrants living in the United States and, thus, free from China’s family policies. By doing so, we provide relevant insights on the impact of both family policies and migration on fertility. Third, contrary to migration systems that involve migrants moving from a country of higher fertility to a country of lower fertility, this article studies migration from a country of lower fertility to a country of higher fertility (Figure 1). As fertility levels fall dramatically in many developing regions while fertility levels in some of the richest countries are close to replacement level (Myrskylä, Kohler, and Billari 2009), migrating from a country of lower fertility to one of higher fertility might become more common in the future.
To expand upon these ideas, the remainder of the article is structured as follows. Second section discusses the theoretical foundations of the emancipation hypothesis and other hypotheses relevant to explaining migrant fertility behavior. Third and fourth sections briefly explain the evolution of China’s family policies since the mid-1960s and of Chinese migration to the United States, respectively. Fifth section describes our data and methods. Sixth and seventh sections present and discuss our results, respectively.
Theoretical Framework and Hypotheses
The Emancipation Hypothesis
From 1980 to 2015, the Chinese government implemented a one-child policy to decrease the national fertility level by imposing a gradient of limitation on the first, second, third, and higher-order births (Gu et al. 2007). Analysts have confirmed that the one-child policy influenced the timing and level of fertility in China, although the extent of the effects is somewhat disputed (Bongaarts and Greenhalgh 1985; Feeney and Wang 1993; Cai 2010; Goodkind 2017). China’s one-child policy allowed for the first birth; however, the “later-longer-fewer” 6 policy, started in 1974, promoted delayed marriage, which affected first births’ timing in a context where almost all births occurred within marital unions (Bongaarts and Greenhalgh 1985). Notably, within the one-child policy framework, second births were sometimes allowed (Gu et al. 2007; see Online Appendix Table A1). This privilege, however, was contingent upon many factors, such as the province in which the mother resided and whether she had an agricultural hukou (i.e., a rural household registration), as is discussed below. The third birth was almost never permitted after 1980, with few exceptions (i.e., female herders in Tibet could give birth to at most three children; Gu et al. 2007).
Additionally, within-country differentials in the policies could lead to an emancipation effect (Yang 2000). The literature on internal migration’s effect on fertility in China, however, has reached mixed conclusions on the emancipation hypothesis. Yang (2000), for example, argued that rural-to-urban temporary migrants who were registered as rural dwellers but lived in urban areas circumvented the one-child-per-family policy because fertility policies were stricter for urban residents than for rural residents. Liang, Yi, and Sun (2014), though, showed that rural-to-urban migrants’ fertility decreased while that of urban-to-rural migrants increased. Goldstein, White, and Goldstein (1997) demonstrated that temporary internal migrants’ fertility did not significantly differ from that of non-migrants in China’s Hubei province.
By contrast, there has been less research on the emancipation hypothesis applied to Chinese international migration. An exception is Hwang and Saenz (1997), who used the 1990 US census to demonstrate that Chinese females who migrated to the United States from mainland China had a higher fertility level than those who migrated from other East Asian societies without fertility restrictions (mostly Taiwan, Hong Kong, and Vietnam). This higher fertility outcome was attributed to an “emancipation” effect, meaning that fertility should increase once policy restraints are released (i.e., after migrating to the United States). However, Hwang and Saenz (1997) did not compare Chinese international migrants’ fertility with that of Chinese non-migrants living in mainland China, as we do here. Furthermore, they employed cross-sectional data and methods, which limit the reliability of their results.
Overall, then, the emancipation hypothesis has not been properly examined in the context of Chinese international migration. In its original form, this hypothesis suggests that migrants’ fertility levels should increase once they leave China and are free from its family policies (Hwang and Saenz 1997). However, a more precise and nuanced formulation is necessary on theoretical grounds and must be empirically investigated. In this article, we study the following aspects of the emancipation effect. First, as fertility policies have different effects on each birth order, the emancipation effect should differ between them as well, especially for second births, which were the policy’s main target. Therefore, we expect that if the emancipation hypothesis holds, Chinese migrants in the United States should have a higher fertility level than Chinese non-migrants subject to policy restrictions on second and third births, while first births probabilities should be less affected by migration (Hypothesis 1).
Second, China’s family policies led to an increase in the age of childbearing. This postponement was achieved mainly as a result of establishing a higher minimum age at marriage, which led to a postponement of first births (Feeney and Wang 1993; Wang 2015). In this case, emancipation from China’s family policies through migration should involve an earlier timing of childbearing, as individuals were no longer subject to restrictions in the age at marriage. This earlier timing at childbearing should mainly affect first birth, while second and third births should be less affected, once we control for age at first birth. Therefore, we expect that once in the United States, Chinese migrants should have an earlier timing of fertility (Hypothesis 2).
Third, although the effects of China’s family policies on actual fertility levels are controversial (Goodkind 2017; Zhao and Zhang 2018), there is more agreement that these effects are likely to decline over time (Gu et al. 2007; Cai 2010). China’s rapid socioeconomic change during the period examined in this article resulted in fewer females having second or third births (childlessness has increased only moderately; Djundeva, Dykstra, and Emery 2019). China’s economic development involved a decline with respect to pre-existing fertility preferences and levels, independently or in interaction with the family policies (Cai 2010). Notably, the one-child policy’s effect on China’s TFR by the end of 2015, when the policy was ended, was small (Gietel-Basten 2019). If, then, the policies’ effect declined over time, the same should apply to the emancipation effect. Therefore, assuming a declining gap between fertility preferences in the Chinese population and the fertility level imposed by China’s extant policies, we should observe a decreasing emancipation effect across birth cohorts. As a result, migration’s positive effect on fertility should decline across birth cohorts (Hypothesis 3).
Migration Adaptation Hypothesis
The adaptation hypothesis holds that migrant fertility should converge toward that of natives in less than 10 years (Milewski 2010) because migrants and natives are subject to similar socioeconomic conditions (Chattopadhyay, White, and Debpuur 2006). At least two factors, however, affect the possibly incomplete convergence of Chinese migrants’ fertility levels with those of the US native-born population. One factor is Chinese people’s spatial segregation in the United States: a substantial portion of the Chinese population form ethnic communities that symbolize and sustain their ethnic identity and inhibit cultural integration, including English language learning (Logan, Zhang, and Alba 2002). The other factor is Chinese Americans’ complex socioeconomic situation. Chinese immigrants in the United States have, on average, higher educational and occupational attainment compared to the overall foreign- and native-born populations (Echeverria-Estrada and Batalova 2020). Yet they are also highly polarized, with one group highly educated and acculturated to US society and the other group poorly educated and maintaining much of the traditional ethnic culture (Wong 1995; Zhou and Xiong 2005).
Furthermore, as mentioned above, fertility preferences have changed among the population living in China since the 1970s, dropping below replacement fertility since the early 2000s (Cai 2010; Basten and Gu 2013). Thus, irrespective of China’s family policies, for an increasingly larger proportion of Chinese female migrants, adapting to US society is likely to involve an increase in their fertility, especially in the probability of bearing a second birth. Migration’s impact, though, is more ambiguous for third births. Older birth cohorts had a third birth more often than younger birth cohorts, and in such a case, adaptation after migration may have involved a reduction in these females’ probability of bearing a third birth. Additionally, for more recent birth cohorts, adaptation to US society, if anything, may have involved some increase in third birth probabilities.
Overall, then, we expect that if the fertility adaptation hypothesis holds, second-birth probabilities should increase as the duration of stay in the United States increases. Migration’s effect on the probability of bearing a second birth should increase across birth cohorts as the gap between Chinese and US fertility levels widens 7 (Hypothesis 4). Moreover, adapting to US society should also involve a decline in son preference because US norms on gender preference lead to a much more modest over-representation of male births ( Dahl and Moretti 2008 ). As a result, we expect that son preference should diminish among Chinese migrants with respect to non-migrants (Hypothesis 5).
Migration as a Disruption to the Fertility Process
The disruption hypothesis argues that migrating is a stressful process that depresses fertility around the time of migration, especially for international migrants (Milewski 2010). Difficulties in giving birth around migration are related to a number of factors, including spouses’ physical separation (Chattopadhyay, White, and Debpuur 2006); uncertainty about the future, including job instability; and practical concerns that childbearing might impede economic success or that migration might result in a temporary loss of or decrease in resources (Milewski 2007). Migration’s disruptive effect can lead to birth postponement, and after migration’s uncertainty or difficulties disappear, these females often catch up in fertility behavior (Goldstein et al. 1997).
A different situation emerges when migration is triggered by marriage, an increasing trend in Asia (Yeung and Mu, 2019), in which case migration should lead to higher first-birth probabilities just after migration because the couple starts a family when one member of the couple migrates (Hoem and Nedoluzhko 2008). However, once a control for the marriage’s duration is made, this effect should disappear. Unfortunately, marriage migration cannot be identified in our analyses because age at first marriage is not available in the 2000 US census. However, our analyses of data from the Chinese International Migration Project for Fujianese migrants to the United States showed that marriage migration has a low prevalence in Chinese–US migration and is not a driver of the probability of having a birth during the year of migration. Overall, then, we expect that if the migration disruption hypothesis holds, a migrant’s fertility level should decrease around migration time and recover afterward (Hypothesis 6).
Migrant Selection Hypothesis
In most countries, Chinese migrants’ fertility is lower than that of other ethnic groups (Poston, Mao, and Yu 1994), but little research has seriously addressed their actual fertility selectivity (i.e., if migrants hold particular characteristics that lead to low fertility). Coleman and Dubuc (2010) and Abbasi-Shavazi and McDonald (2000) found that Chinese international migrants’ fertility level was lower than natives and other ethnic groups in the UK and Australian context. However, the above-mentioned researchers did not investigate which fertility level was lower, that of Chinese international migrants or that of non-migrants.
Furthermore, most studies of the interrelationship between migration and fertility have discovered that migrants are negatively selected in terms of fertility with respect to non-migrants in the origin population (Goldstein and Goldstein 1983; Lindstrom and Saucedo 2002; Lindstrom 2003; Baizan 2017). Although this selection effect is generally difficult to prove empirically, some evidence of its existence has been demonstrated in different migration contexts, for example, Chinese-Malaysian rural-to-urban migration (Goldstein and Goldstein 1983), long-term or settled Mexico–US migration (Lindstrom and Saucedo 2002), Ghana rural-to-urban migration (Chattopadhyay, White, and Debpuur 2006), and Senegal–Europe migration (Baizan 2017). Lindstrom (2003) confirmed that rural-to-urban migration in Guatemala is selective of migrants with some characteristics associated with lower fertility.
Considering that these analyses often include several socioeconomic controls, particularly educational level, these results may reflect unmeasured variables such as a migrant couple’s stronger desire to achieve a higher socioeconomic status or preferences for smaller family size, compared with non-migrants. These types of variables, however, are often unavailable in migration quantitative data, like the China and US census examined here, potentially leading to endogeneity between the processes of migration and of fertility. In this article, migrants’ unobserved characteristics are captured as a selection effect because they are related to both migration and fertility. Biased results can be obtained in the statistical analyses if proper control of these selection effects is not conducted (Lillard 1993).
The selection hypothesis posits that migration is selective of migrants with specific observed or unobserved characteristics that lead to lower fertility levels (Goldstein and Goldstein 1981; Lindstrom and Giorguli Saucedo 2007). These unobserved characteristics may include education (Wolf and Mulder 2018), age at marriage, a tendency to postpone childbearing (Chattopadhyay, White, and Debpuur 2006), and a desire to achieve upward social mobility (Macisco et al. 1969). The social mobility aspiration might concern Chinese migrants as Chinese international migration is likely to involve selection associated with migrants’ socioeconomic status, income, and education. Positive selection on one’s socioeconomic status may be due to migration’s high cost for Chinese households and US anti-immigration policy’s restriction on lower-skilled migrants’ migration. The above arguments lead us to expect that migration is selective of Chinese females of childbearing age with some (unobserved) characteristics that predict a lower fertility level than non-migrants (Hypothesis 7).
China’s Family Policy and Migration Policies in China and the United States
To understand the emancipation hypothesis, it is crucial to consider the evolution of family policies enacted in China, as well as changes in migration policies in both China and the United States. These two sets of policies are summarized below.
China’s Family Policy
China’s birth control policy does not have a long history. In the early 1950s, birth control and abortion were discouraged in China, especially among women working in the public sector. 8 However, starting in the 1970s, the Chinese government enacted the “later-longer-fewer (Wan-Xi-Shao)” policy, 9 arguing that people should plan their fertility, to achieve a planned increase in total population. 10 Around 1980, to further lower China’s overall fertility level, a stricter birth control policy, the one-child policy, was enacted which stipulated that “one couple should have only one child” (see footnote 1). Over time, there were several policy changes for particular groups that were subject to special conditions, for instance, rural residents, minority ethnic groups, and economically disadvantaged families (Regulations on Population and Family Planning in Hebei 1997), but the channels through which couples could have more births than allowed were very limited (i.e., by contributing a “social support” fee as a penalty; the State Council, order no. 357).
Chinese Migration to the United States
The Chinese are the largest Asian population in the United States, accounting for 24 percent of Asian Americans (4.9 million), as of 2015 (Pew Research Center). 11 Unlike the Mexico–US migration system, the China-US migration system does not typically involve circular or return migration (Liang and Zhang 2004). Since the 1960s, US immigration policy has facilitated migration from China, having eliminated the previous quota system and permitting network migration (Immigration Act of 1965). Furthermore, in 1996, the United States allowed a set number of Chinese migrants affected by the one-child policy to claim asylum in the United States (“Illegal Immigration Reform and Immigrant Responsibility Act” 1996). From 1978 to 2000, the Chinese government strictly controlled emigration, especially from the seven coastal provinces that had higher emigration rates (Chin 2003). Despite the tightened emigration policy, emigration, especially irregular emigration, increased due to foreign direct investment (Chin 2003). Policies aimed at controlling emigration and China’s borders were enacted in 1985, 1992, and 1997 (Chin 2003). The combination of US immigration policy and Chinese emigration policy has had a positive net effect on total international movement: from 1970 to 1990, there was a dramatic increase in Chinese migrants to the United States (Poston, Mao, and Yu 1994) — a vast migration flow analyzed in this article.
Data and Measurement
This article compares data on Chinese migrants in the United States and non-migrants living in China. For Chinese migrants in the United States, we consider both the first and 1.5 generations, the latter composed of individuals who migrated before they were 15 years old. We focus on the period immediately before and during which the one-child policy was enforced in mainland China (1965 to 2005). For migrants, we use the 5 percent sample of the 2000 US census and the 2005 American Community Survey and for non-migrants, the 2000 Chinese census and a subsample of China’s 1 percent 2005 National Population Sample Survey. 12 We randomly resampled 1 percent of non-migrant females for the sake of faster computation. The final sample included 19,209 non-migrants and 12,544 migrants. 13
We identified females of reproductive age, 15–40 years 14 (henceforth referred to as women), who were born between 1960 and 1990 in the People’s Republic of China and were living in the United States in the survey year. We analyzed only women because male fertility is unavailable. 15 We constructed fertility histories for these women, from age 15 up to their first birth; from the first birth to the second birth; and from the second birth to the third birth; or to censoring. We used two criteria for censoring observations if no further births were observed — 20 years after the previous birth or being older than 40 years at the survey or census time — to avoid including mothers whose children had left the parental home. We selected one of the aforementioned conditions for censoring observations based on its chronological order. The median age for a Chinese son and daughter to leave the parental home was 24.9 and 24 years, respectively, during the 1980s, which is later than the median age for individuals in other countries such as Japan, the United States, Sweden, and France (Zeng et al. 1994). The reason for this late leaving is fourfold: (1) many Chinese remained in their parents’ home after marriage in the 1980s (Zeng et al. 1994), (2) there was a serious housing shortage in the 1980s, especially in urban areas in China (Zeng et al. 1994), (3) the college enrollment rate in China was low from 1982 to 1990 (Zeng et al. 1994), and (4) China’s familial welfare regime made young individuals more reliant on parental resources (Nauck, Groepler, and Yi 2017). Thus, children were very likely to be present in their parents’ household when their mothers turned 40 years old in China. Return migrants are not considered, which might only slightly bias the results since Chinese international migrants have a remarkably low return rate (Liang and Zhang 2004).
We reconstructed mothers’ fertility histories by applying the own-child technique (Coleman and Dubuc 2010). We linked the first, second, and third child born to the mother by using information derived from the household roster, which contains the relationship of all individuals living in the household to the household head and information on the number of children ever born, age of children, and their mothers’ identification. 16 To avoid reverse causation, the analyses include the approximate date when the mother decided to have a child, approximated as one year before the delivery, to account for the nine-month pregnancy period.
Figure 1 shows that Chinese women born between 1960 and 1990 encountered different fertility policies across their reproductive ages. The one-child policy roughly started in 1980 and ended on the first day of 2016. The white grids in Figure 1 represent the period without firm birth control policies. The period, 1974–1979, witnessed the “later-longer-fewer” policy. The darker area in Figure 1, between 1980 and roughly 1985, represents roughly the one-child policy’s strictest version, and the lighter grids stand for several amendments to the one-child policy that varied across China. We observe that fertility decisions made by members of the cohorts born between 1960 and 1990 are heavily influenced by the one-child policy, although married women were under different policies for different lengths of time.
Because census data provide no information on whether the members of a couple are only children, our estimates involve some inference, with upper (all couples fulfilled the condition of “both couple members being an only child”) and lower (all couples fulfilled the condition of “neither member of the couple is an only child”) bounds. 17 Because the sampling framework of origin and destination country is not the same, before modeling the effect of migration status and fertility policy on the first, second, and third births, migrants and non-migrants were matched by a matching technique explained in the Online Appendix research note A2. 18 To analyze the possible interrelationship between the processes of fertility and migration, we used structural-equation event history models with correlated unobserved heterogeneity of the type introduced by Lillard (1993). The endogeneity of fertility and migration was addressed by allowing unobserved heterogeneity to be correlated across the two processes. In that manner, we could control for shared unmeasured factors that simultaneously influence births and first migration. Furthermore, selection effects specific to each birth order were accounted for by modeling each birth order with one equation with a common heterogeneity component (Kravdal 2001). Equations 1, 2, and 3 refer to first, second, and third births, respectively, and equation 4 refers to migration (Rabe-Hesketh and Skrondal 2012).
In these equations, the subscript i refers to the woman, and t refers to each time unit (i.e., year). The Xi
denotes a vector of covariates,
We applied logistic regression. The dependent variable was coded as 1 for the corresponding birth order and 0 for not yet having that birth order. The women-specific random variables ∊ and λ capture unobserved heterogeneity and are assumed to have a joint bivariate normal distribution:
in which ρ∊λ is the correlation between the unobserved heterogeneity terms of the processes. The model estimation was performed using full-information maximum likelihood and implemented in the package aML (Lillard and Panis 2000). Repeated fertility outcomes for each woman and the inclusion of a different set of variables for fertility and migration allowed us to identify the standard deviations of the error terms in the system of equations (Lillard and Panis 2000). However, the standard deviation of the unobserved heterogeneity term in the migration process was fixed at 3 because we only have information on first-time migration. Identification was achieved by including variables assumed to be exogenous. We selected these variables because they are related to migration behavior but not directly related to fertility decision-making; thus, they facilitate the identification of the heterogeneity term in the migration equation.
The primary variables explaining fertility differences are migration status and fertility policy. Controls include age, birth cohort, and women’s educational attainment. “Policy and migration status” denotes whether (a) a particular birth parity was allowed when the individual’s place of residence at a given point in time was China, (b) the Chinese woman was in the year migrating to the United States for the first time 19 ; (c) she was living in the United States as a first-generation migrant; and d) she belonged to the 1.5 generation who came to the United States before 15 years old. Because of substantial differences between Chinese regions, regional differences in family policies are analyzed from 287 documents on “population and planned birth regulation” and covered in point (a) in the preceding list (see Online Appendix Table A1). We introduce province-specific fertility regulations (Online Appendix Table A1) in 22 provinces, three municipalities (except Chongqing, which was integrated into Sichuan Province), and five autonomous regions; thus, this research covers almost all areas of mainland China. We also separate the likelihood of having birth by parity because each birth parity is treated differently by China’s policies. The reference group reflects the strictest family policy for that particular birth parity.
To capture migration’s impact on national-level economic development and immigration and emigration policy after 1965, we included several economic indicators, such as China’s gross domestic product (GDP) real value and GDP growth rate, the GDP ratio of China and the United States, the US unemployment rate, immigration/emigration policy at origin and destination, percent urban, and land policy 20 in China. We observed approximately five turning points in Chinese emigration policy from 1965 to 2005: (1) the 1978 open-door policy that ended restrictions on international migration, (2) the first set of migration laws on border control and applications for passports in November 1985, (3) an official document that ordered coastal provinces to curb irregular flows in April 1992, (4) a modified criminal law that added harsh penalties for human smuggling in 1997, and (5) a passport policy that formalized the passport applications in 1999 (see Chin [2003] for details).
Results
In Table 1, we examine the emancipation hypothesis by assessing the effect of the fertility policy and migration status on first, second, and third births, controlling for age, time since previous birth, birth cohort, and education (Hypothesis 1). Timing effects (Hypothesis 2) are tested with interaction terms between migration status and age (for first birth) and between migration status and duration since last birth (for second and third births; Table 1 [Models 1 to 4] and Figures 2 and 3). To test changes across birth cohorts in the emancipation effect, an interaction between migration status and birth cohort is included in Table 1 (Models 3 and 4) and in Figure 4, allowing us to visually assess the hypothesis that the emancipation effect diminishes across birth cohorts (Hypothesis 3). In Table 2, we introduce the time since migration in Models 5 to 8 to explore the adaptation hypothesis. However, before examining these hypotheses, we must clarify whether selection effects influence our results.
Event-history Models for First, Second and Third Birth, and First Migration from China to United States.
Note: The dependent variables of Equations 1 to 4 are the likelihood of the first, second and third birth, and migration. Model 2 and Model 4 take into account unobserved factors while Model 1 and 3 do not.
*p < 0.1. **p < .05. ***p < .01.

Conditional annual probabilities of the first, second and third births for Chinese non-migrants, first generation migrants and 1.5 generation migrants. Note: Controls for age, age 2 , birth cohorts, educational level and interaction term between age and migration status, duration since last birth and migration status are included. Model specification as Model 2 in Table 1.

Survival curves of second and third births for migrants and for non-migrants, by duration since the last birth. Note: The age range is from 15 to 40, that is, the reproductive ages. No controls were included. Only stratification of migrant and non-migrant is included in the model specification. Confidence intervals are presented in the shadowed areas. The survival probabilities for first birth are plotted for those who migrated before age 20 and others who had not migrated at age 20.

Simulated conditional annual probabilities of first, second and third birth by migration status and birth cohort for a hypothetical migrant who migrated at age 30 and a non-migrant woman. Note: Migration occurs three years after previous birth. Controls for age, age 2 , birth cohort, educational level, policy and migration status, an interaction term between birth cohort and migration status, and an interaction term between age, age 2 (or duration since last birth and its squared term) and migration status are included. For the third births, we do not include a separate category for the year of migration due to limited cases of this condition. Unobserved heterogeneity and correlation between the processes of fertility and migration are also considered in the model specification. Model specification as Model 4.
Simultaneous Equation Models: Duration since Migration (Model 5), Policy and Migration Status (Model 6) and Policy and Migration Status for Women with at Most Primary School Education (Model 7) and Women with at Least Secondary Education (Model 8).
Selection Effects
In some models, the fertility equations are jointly estimated with a migration equation with controls for several demographic and economic indicators and for migration policy at origin and destination. Therefore, we present models that exclude (see Models 1 and 3) and include (see Models 2, 4, 5, 6, 7, and 8) the unobserved heterogeneity components for fertility and migration and their correlation (see “standard deviations and correlation between heterogeneity components” panel). Although these models are not directly comparable, they show the impact of selection effects on our results.
Unobserved differences between individuals in fertility and migration are attributed to several factors captured by the heterogeneity terms. As discussed, unobserved factors may be associated with socioeconomic mobility aspirations, fertility intentions, and family orientation. Although some Chinese female migrants moved to the United States for family reunification reasons, there might also be socioeconomic motivations. The results show that the standard deviation of the heterogeneity component for fertility is statistically significant, indicating that, indeed, unobserved factors drive this process. Including the heterogeneity component for fertility, thus, corrects for selection into a given birth order (e.g., women at risk of a second birth obviously must have had a first birth). Moreover, the heterogeneity terms of the fertility and migration processes are negatively correlated (correlation = −0.66 as in Model 2 and 6), implying that women who were more likely to migrate were also less likely to bear many children. Migration is, thus, selective of migrants with some unobserved characteristics that predict a relatively low fertility level, as expected in Hypothesis 7.
Moreover, migrant’s negative selection in terms of fertility is consistent with the increasing migration probabilities displayed by the more recent birth cohorts (which also display lower fertility levels than previous birth cohorts). Other results of the migration equation show the expected strong positive effects of China’s migration policies, GDP growth, and urbanization rate. All these variables show relatively minor differences between the models that account for unobserved heterogeneity and those that do not. By contrast, the differentials in migration probabilities by a woman’s education level disappear after accounting for unobserved heterogeneity, suggesting that the unobserved heterogeneity is closely linked to women’s educational attainment. The increase across birth cohorts in migration probabilities is severely underestimated if unobserved heterogeneity is not accounted for: The odds ratio of migration for women born from 1975 to 1979, for example, is approximately six times higher than that for women born from 1960 to 1964, accounting for heterogeneity, compared with 1.80 times higher if this control is not performed.
Regarding the fertility processes (Table 1, Equations 1, 2, and 3), we observe the expected effects of age and duration since previous birth and the expected strong negative effects of education and birth cohort (i.e., fertility declines across birth cohorts). However, the impact of these last two variables is underestimated if we do not account for unobserved heterogeneity. More crucially for our purposes, the comparison between models accounting for selection and models not accounting for selection (i.e., between Models 1 and 2 and between Models 3 and 4) provides different results for the variable “migration status.” Thus, the results of Models 1 and 3 show migration’s large positive impact on second and third births, but not on first birth. However, when unobserved heterogeneity is considered, migration’s positive effect is even larger for second and third births, and for first births, migration’s effect becomes positive. Failure to account for correlated unobserved heterogeneity would have led to a substantial underestimation of migration’s “emancipation effect” on fertility. For this reason, the remainder of this discussion focuses on models that account for unobserved heterogeneity. 21
Emancipation Hypothesis
Model 2 in Table 1 shows the strong positive effect that being “after migration” has on second and third births (odds ratio of 20.5 and 9.3, respectively, shown in equations for second and third births), but less so on first births (odds ratio 1.7). As already mentioned, Model 2 controls for the historical decline in fertility by including the birth-cohort effect and for the effect of being subject (or not) to China’s family policy. Therefore, the positive effect of the category “after migration” can be considered evidence supporting the emancipation effect (Hypothesis 1). Moreover, compared with women living in China, 1.5-generation migrants’ odds of having a second birth were 3.4 times higher, consistent with the emancipation effect. In Figure 2, the emancipation effects’ scale in terms of the predicted probabilities of bearing a child is relatively large. The emancipation effect is especially strong for second births, which were the one-child policy’s main target. Third births were normally not allowed by the policy, leading to a strong relative emancipation effect; however, in absolute terms, the emancipation effect is small because fertility ideals were mostly limited to an average of two children per woman (Basten and Gu 2013; Gietel-Basten 2019). The conditional annual probability of the first birth is similar for a 1.5-generation migrant and a non-migrant, but the probability of a second and third birth is higher for a 1.5-generation migrant than for a non-migrant. The 1.5-generation migrants’ fertility should reflect a situation of individuals partly socialized in the United States, where Chinese family policies do not apply.
Even simple survival curves with no controls show that 10 years after a previous child, approximately 73 percent of migrants had a second child, compared with only 50 percent of non-migrants (Figure 3). 22 By contrast, only approximately one fourth of both migrants and non-migrants had a third child. The effects on first birth appear more complex because childlessness at age 40 among migrants is much higher (25 percent) than among non-migrants (6 percent). These results without controls likely reflect both selection effects and fertility’s comparatively smaller positive effect on having migrated to a new context.
A complementary method to assess the emancipation effect is plotting the simulated probabilities of childbearing for a migrant woman compared with a non-migrant woman (Figure 4, based on Model 4). Figure 4 clearly shows migration’s immediate boosting effect on fertility for all birth orders. Notably, birth probabilities sharply increase just after migration, suggesting that the emancipation effect dominates over an adaptation effect because adaptation to a new context normally involves time. Furthermore, this result supports Hypothesis 2 that once at destination, migrants should have an earlier timing of fertility. Notably, the results presented in Figure 4 include an interaction effect between the timing of each birth order and the variable “policy and migration status”. Consistent with Hypothesis 2, simple calculations without controls show that migrants had shorter birth intervals between births than did non-migrants: the intervals between first and second birth for non-migrants, first-generation migrants, and 1.5-generation migrants were 3.8 year, three years, and 2.6 years, respectively, suggesting an emancipation effect from Chinese policies that prescribed a minimum length of birth intervals.
Finally, the results of Figure 4 (based on Model 4) show that the emancipation effect declines across birth cohorts, especially for second births, because of the declining trend in fertility and fertility intentions in China, supporting Hypothesis 3. This trend is, to a large extent, independent of China’s fertility policies, as shown by the very low fertility levels attained in China after the restrictions for a second child were eliminated in 2016 (Gietel-Basten 2019). Notably, the emancipation effect’s strength greatly differs by women’s education level (see Figure A3 in the Online Appendix). The predicted probability of bearing a second child for women with university degrees living in China was particularly low, and that of a third birth is nearly nil. 23 It is likely that many of these women worked in the public sector, where having a second or third birth involved the risk of losing their jobs, according to the one-child policy.
Adaptation and Disruption Effects
In Model 5 (Table 2), the odds of bearing a first, second, and third birth substantially increase as the duration of stay in the United States increases, providing support for Hypothesis 4. Duration’s effect is particularly strong for second births: Migrants’ odds of having a second birth were 14 times as high as that for non-migrants during the three years after migration and increased to 32 times as high as that for non-migrants beyond the third year after migration. Moreover, the year of migration involves a reduction in the odds of bearing a child only in the case of first births (odds ratio = 0.62), and in the cases of second (odds ratio = 5.4) and third births (odds ratio = 1.2 and not significant), there is even an increase in the odds. These results are supporting evidence that migration’s disruption effect is limited to first births and a relatively rapid adaptation to US society (Hypotheses 4, 5, and 6). Of course, it is difficult to disentangle these effects from the aforementioned very strong emancipation effect. Adapting to US fertility should involve an increase in the fertility of migrants (vs. non-migrants) for more recent birth cohorts, reflecting the increasing gap between declining fertility preferences in China and relatively stable and moderate fertility levels in the United States. Indeed, as already mentioned, the interaction between migration status and birth cohort shows migration’s declining effect over birth cohorts, especially for second births, which likely reflects a dominance of the emancipation effect over any adaptation effect, especially for the older birth cohorts who were strongly affected by China’s one-child policy.
Using the 2000 US census, Almond and Edlund (2008) showed that son preference was evident in the third birth for Chinese migrants, compared with whites. In our results, having had one or two female births predicted a lower probability of having the next child for Chinese migrants living in the United States than for those living in China, supporting Hypothesis 5. Thus, the odds of second births for women living in China were 1.15 if the first child was a girl. However, the odds reduced to 0.99 for first-generation Chinese migrants in the United States (Model 6). Even more striking is that the odds for third births were 4.47 if the two previous births were females and decreased to 0.57 for first-generation migrants with two previous female births. This finding implies a detachment from son preference noted in China and an adaptation to US norms.
Discussion and Conclusions
China’s one-child policy ended on January 1, 2016, halting a decades-long policy that no other nation had dared to enact. Given the impact of this and other family policies in China, how did the act of international migration change Chinese women’s fertility levels? This article has examined how Chinese migrants to the United States behaved under the following conditions: they were freed from China’s birth restrictions, they faced the difficulties of migration, and they were exposed to different fertility conditions in the United States. According to our literature review, our article is the first to explicitly test the “emancipation hypothesis” proposed by Hwang and Saenz (1997) by comparing Chinese international migrants’ fertility level with that of non-migrants in China, using individual-level data and considering selection effects.
This comparison offers a number of key findings. First, our results confirm the “emancipation” effect and show that migration to the United States sharply increased Chinese migrant women’s probability of having a first, second, and third birth, compared with non-migrants in China. Moreover, migration’s positive effect declined across birth cohorts, consistent with a decline in fertility intentions in China. However, migration was also associated with a delay in first birth timing and a higher overall proportion of childlessness, linked to the strong migrant selection along with several unmeasured attributes.
Second, our analyses illustrated a case of migration from a context with very low fertility to one with “replacement” fertility levels. Until recently, migrating from a country of lower fertility to a country with higher fertility has been an exceptional situation, but it is likely to become more common (Lima et al. 2018; Yeung et al. 2018). On the one hand, several post-industrial societies display fertility levels of approximately two children per woman, and several other advanced countries have increased their fertility levels in recent decades (Sobotka 2017). Further evolution of family policies that help reconcile careers and childbearing may reinforce this trend in highly developed societies, which increasingly offer conditions conductive to replacement-level fertility (Myrskylä, Kohler, and Billari 2009; Esping-Andersen and Billari 2015). On the other hand, several Asian countries, including China, South Korea, Japan, Thailand, and Vietnam, display low or very low fertility levels (Jdanov and Sobotka 2019). Several newly industrialized counties in South Asia (Yeung et al. 2018) and Latin America (Lima et al. 2018) are also likely to experience these conditions in the next few decades, making emigration flows from countries with very low fertility more common in the future. Although these countries have not experienced family policies so restrictive as those of mainland China, the prevalent social and economic conditions (including policy effects) often result in low or very low fertility levels (McDonald 2000, 2006). This article shows that emigration from very low fertility countries may result in substantial increases in fertility for the individuals involved. Moreover, the literature analyzing the adaptation hypothesis points to a negative relationship between the length of stay in the United States and fertility (see Dubuc 2012), based on the case of migrants from origin countries with higher fertility levels than the destination country. In China–US migration, however, where the origin country’s fertility is lower than that of the destination country, we find that international migration has a larger positive effect on the probability of having a second birth for older cohorts than for younger cohorts.
Third, our results suggest that Chinese international migration is selective of migrants with lower fertility, as has been observed in other contexts (Abbasi-Shavazi and McDonald 2000; Coleman and Dubuc 2010). We did not find evidence, however, that Chinese migration to the United States was selective of migrants with higher educational attainment. By contrast, our results show that migration is selective of migrants with some unmeasured factors leading to lower fertility than non-migrants. Given that these factors could not be directly observed, we can only speculate on their link with, for example, migrants’ urban origin or upward social mobility aspirations. However, our results show that not including the effects of these unmeasured factors led to a substantial underestimation of migration’s effect on fertility. Given international migration’s highly selective nature and the data limitations that preclude a more explicit measurement of all relevant factors involved, further research should examine migration’s effect on fertility to properly account for selection effects. Further research could also link the “emancipated” fertility of Chinese migrants in the United States with marriage migration when information such as age at marriage is available. It is possible that there is a lag effect in adapting to the fertility norm at destination, which can be tested only when more recent data are available at the origin and destination country.
Supplemental Material
Supplemental Material, sj-docx-1-mrx-10.1177_0197918321994789 - Does Emancipation Matter? Fertility of Chinese International Migrants to the United States and Nonmigrants during China’s One-child Policy Period
Supplemental Material, sj-docx-1-mrx-10.1177_0197918321994789 for Does Emancipation Matter? Fertility of Chinese International Migrants to the United States and Nonmigrants during China’s One-child Policy Period by Wanli Nie and Pau Baizan in International Migration Review
Footnotes
Acknowledgment
Our sincere gratitude goes to the editor and two anonymous reviewers for their comments on an earlier version of this article and their help during the editorial process.
Declaration of Conflicting Interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
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References
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