Publications
* denotes equal contribution and joint lead authorship.
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2024
Kinship and Care: Racial Disparities in Dementia Caregiving in the US from 2000 to 2060.
The Journal of Gerontology: Series A. glae106.
DOI . Background:Although the family plays a pivotal role in older adults' care, there is limited research on how evolving demographic trends affect older adults' support networks and how the trends vary by race. To fill this gap, we examine the influence of shifting family demographics on future care needs for older adults with dementia, emphasizing the unequal health and potential caregiving burdens by race in the U.S. Methods:Using demographic models of kinship, we estimate the availability of potential caregivers, and dementia prevalence among one's kin by race, kin type, and the age of a focal person from 2000 to 2060. We introduce an index called the Dementia Dependency Ratio to assess dementia caregiving demands at the population level, taking into account the age and kinship structure of the population. Results:Our findings suggest that Black individuals tend to have more children, grandchildren, and nieces/nephews as they age. However, Black individuals also tend to have more kin with dementia compared to their White counterparts. This elevated prevalence of dementia among Black kinship networks counterbalances the advantage of having more kin as potential caregivers. A further projection analysis suggests that the racial gap in caregiving demand within the kinship network will widen in the next four decades if the racial gap in dementia prevalence remains unchanged. Conclusions:These findings emphasize the urgency of reducing racial inequality in dementia prevalence rates and increasing public support for families with extended members affected by dementia. With the shrinkage of nuclear families and population aging in the next few decades, extended family members may undertake more caregiving responsibilities for dementia. We call for a kinship perspective in understanding dementia care in future research.Presumed Competent: The Strategic Adaptation of Asian Americans in Education and the Labor Market.
Annual Review of Sociology 50:455-474.
DOI . Presumed competent, Asian Americans exhibit the highest level of education and median household income of all major US ethnoracial groups. On average, they outpace all groups in the domain of education, yet they do not maintain their advantage in the labor market. The question of bias against Asian Americans has taken center stage in the most recent US Supreme Court ruling on affirmative action, but the attention has been on university admissions. We broaden the focus and rewrite the question to consider how Asian Americans seek to preempt bias in the labor market by strategically adapting to mitigate it. Strategic adaptation begins with precollege education, continues with college choice and major, and entails acquiring elite credentials that signal hard skills and merit. The strategy falls short of obviating bias altogether, however. We show how Asian Americans’ labor market earnings and mobility vary by gender, nativity, national origin, place of education, and field of study.Occupational Percentile Rank: A New Method for Constructing a Socioeconomic Index of Occupational Status.
Sociological Methods and Research (Online First).
DOI . In this paper, we propose a method for constructing an occupation-based socioeconomic index that can easily incorporate changes in occupational structure. The resulting index is the occupational percentile rank for a given cohort, based on contemporaneous information pertaining to educational composition and the number of workers at the occupation level. An occupation may experience an increase or decrease in its occupational rank due to changes in relative sizes and educational compositions across occupations. The method is flexible in dealing with changes in occupational and educational measurements over time. Applying the method to U.S. history from the mid-nineteenth century to the present day, we derive the index using IPUMS U.S. Census microdata from 1850 to 2000 and the American Community Surveys (ACSs) from 2001 to 2018. Compared to previous occupational measures, this new measure takes into account occupational status evolvement caused by long-term secular changes in occupational size and educational composition. The resulting percentile rank measure can be easily merged with social surveys and administrative data that include occupational measures based on the U.S. Census occupation codes and crosswalks.
2023
Multigenerational Social Mobility in China.
Research in Social Stratification and Mobility 88: 100806.
DOI . Despite the dominance of a two-generation approach to the study of intergenerational social mobility, multigenerational influences that link the characteristics of kin across three or more generations may be important in some populations. These effects include direct net effects of grandparents’ socioeconomic characteristics on grandchildren, the effects of even more remote generations, the effects of family characteristics that bring extreme advantage or disadvantage at points in the past that are not uniformly tied to any specific past generation, a variety of demographic effects that both reweight socioeconomic distributions in successive generations and also incorporate multigenerational effects on demographic behavior itself, heterogeneous multigenerational effects in populations that contain more than one social mobility regime, and long-run multigenerational effects that result from mobility-fertility interactions in population dynamics. Genealogical data from the Qing Dynasty Imperial Lineage and from population registry data for Liaoning, China over the past several centuries provide illustrations of all of these types of multigenerational effects. Multigenerational influence is much more multi-faceted than previous speculations and empirical investigations have implied.Understanding Subjective Inequality in China.
Rising income inequality is a critical global problem that has rapidly accelerated over the past two decades. Yet most people in China are misinformed about inequality because of the government’s control over media via propaganda and censorship. This paper examines how rising inequality is perceived, publicized, and interpreted in contemporary China, where reporting on inequality is actively framed and consumed in the interests of political stability. Combining automated text analysis of millions of news articles and social media data and metric methods for survey questions on individuals’ attitudes, beliefs, and opinions, I test the formation of public misperception of inequality through two interlocking processes. First, during the production of news, Chinese media suppresses and selectively covers some topics related to inequality. Specifically, media outlets under tighter government control tend to cover more news on Chinese political, rural–urban, and historical inequality, and they focus less on educational and economic inequality and western politics. Second, Chinese media also affects individuals’ perceptions about inequality during the consumption of news. Users of state-owned media tend to underestimate the level of inequality compared with users of marketized or social media. These findings call attention to the political roots of the gap between real and perceived inequality.Entwined Life Events: The Effect of Parental Incarceration Timing on Children’s Academic Achievement.
Advances in Life Course Research 55: 100516.
DOI . Parental incarceration has negative effects on children’s educational outcomes. Past studies have only analyzed, and therefore only treated as consequential, parental incarceration that occurs during childhood rather than prenatally. Such analyses that emphasize the importance only of events that occur during one’s lifetime are common in life course studies. This paper introduces an “entwined life events” perspective, which argues that certain events are so consequential to multiple persons’ lives that they should be analyzed as events within multiple independent life courses; parental incarceration, whenever it occurs, is entwined across and shapes both parents’ and children’s lives. Drawing on data from the Panel Study of Income Dynamics and the Fragile Families and Child Wellbeing Study, we find that parental incarceration, both prenatal and during childhood, significantly influences children’s academic ability measures and years of completed schooling. Our results show heterogeneous effects by children’s race. We find that the absolute magnitude of parental incarceration effect estimates is largest for White children relative to estimates for Black and Hispanic children. At the same time, outcome levels tend to be poorer for Black and Hispanic children with parental incarceration experience. We explain this racial heterogeneity as confounded by the many other social disadvantages that non-White children encounter, resulting in the individual effect of parental incarceration not being extremely disruptive to their academic growth.Dual-Pathways of Intergenerational Influence over Multiple Generations.
Chinese Sociological Review 55(3): 237–276.
DOI . The traditional approach to studying intergenerational influences has been limited to a single-stranded framework, with a focus on the transmission of socioeconomic status across two generations. In this paper, we develop a theoretical model of dual-pathway intergenerational influence over multiple generations and test the model by utilizing recent high-quality three-generation panel data from China. The model consists of two intertwined pathways: a socioeconomic pathway measured with educational attainment and a psychological pathway measured with mindset. We show that mindset is a fundamental psychological factor strongly associated with multiple outcomes, including cognitive skills, personalities, and attitudes. Intergenerational influences operate via the transmissions of both mindset and socioeconomic status as well as the cross-domain pathways between the two. Our results offer new insights for a better understanding of intergenerational mobility and immobility.
2022
Trends in Social Mobility in Post-Revolution China.
Proceedings of the National Academy of Sciences. 119(7): e2117471119.
DOI . In this paper, we study long-term trends in social mobility in the People’s Republic of China since its inception in 1949, with two operationalizations: 1) intergenerational occupational mobility and 2) intergenerational educational mobility. We draw on an accumulation of administrative and survey data and provide comparable estimates of these measures for birth cohorts born after 1945. To help interpret the results, we compare trends in China to those in the United States for the same birth cohorts. We find an increase in intergenerational occupational mobility in China due to its rapid industrialization in recent decades. Net of industrialization, however, intergenerational occupational mobility has been declining for recent cohorts. Intergenerational educational mobility in China shows a similar declining trend. In addition, mobility patterns have differed greatly by gender, with women in earlier cohorts and from a rural origin particularly disadvantaged. We attribute the general decline in social mobility to market forces that have taken hold since China’s economic reform that began in 1978. In contrast, social mobility by both measures has been relatively stable in the United States. However, while social mobility in China has trended downward, it is still higher than that in the United States, except for women’s educational mobility.
2021
Kinship Dynamics with Time-Varying Demographic Rates.
Demographic Research. 45(16):517–546.
DOI . BACKGROUND Kinship models, from the pioneering work of Goodman, Keyfitz, and Pullum to the recent matrix-oriented approach of Caswell, have assumed time-invariant demographic rates, and computed the kinship structures implied by those rates. In reality, however, demographic rates vary with time and it is of interest to compute the consequences of such variation for kinship structures. OBJECTIVE Our goal is to develop a matrix model for the dynamics of kinship networks subject to arbitrary temporal variation in survival, fertility, and population structure. METHODS We develop a linked set of equations for the dynamics of the age structure of each type of kin of a Focal individual. The matrices that describe survival and fertility are given as functions of time. The initial conditions required for the time-invariant model are replaced with a set of boundary conditions for initial time and initial age. RESULTS The time-varying model maintains the kinship network structure of the time-invariant model. In addition to the results provided by the time-invariant model, it provides kinship structures by period, cohort, and age. It applies equally to historical sequences of past demographic rates and to projections of future rates. As an illustration, we present an analysis of the kinship structure of Sweden from 1891 to 2120..Multigenerational Social Mobility: A Demographic Approach.
Sociological Methodology 51(1):1–43.
DOI . Most social mobility studies take a two-generation perspective, in which intergenerational relationships are represented by the association between parents’ and offspring’s socioeconomic status. This approach, although widely adopted in the literature, has serious limitations when more than two generations of families are considered. In particular, it ignores the role of families’ demographic behaviors in moderating mobility outcomes and the joint role of mobility and demography in shaping long-run family and population processes. This article provides a demographic approach to the study of multigenerational social mobility, incorporating demographic mechanisms of births, deaths, and mating into statistical models of social mobility. Compared with previous mobility models for estimating the probability of offspring’s mobility conditional on parent’s social class, the proposed joint demography-mobility model treats the number of offspring in various social classes as the outcome of interest. This new approach shows the extent to which demographic processes may amplify or dampen the effects of family socioeconomic positions because of the direction and strength of the interaction between mobility and differentials in demographic behaviors. The author illustrates various demographic methods for studying multigenerational mobility with empirical examples using the IPUMS linked historical U.S. census representative samples (1850–1930), the Panel Study of Income Dynamics (1968–2015), and simulation data that show other possible scenarios resulting from demography-mobility interactions..Using Administrative Big Data to Solve Problems in Social Science and Policy Research.
Global Social Security Review. 14:5–15.
This article describes an explosion in the availability of individual-level public administrative data in the United States and worldwide. These datasets can be used as stand-alone resources or linked across different sources. These new resources will facilitate transformative research on social, demographic, and economic changes, policy evaluation, and other experimental analyses. We discuss the current status of administrative big data in the United States, their potential to advance social science and policy studies, and advantages and challenges for using these data in practice. We showcase a few ongoing large-scale U.S. administrative data initiatives and hope to spark future parallel endeavors in other countries..
2020
Negative Financial Shock Increases Loneliness in Older Adults, 2006–2016: Reduced Effect during the Great Recession (2008–2010).
Social Science & Medicine. 255:113000.
DOI . Highlights • In older adults, a large loss of income leads to greater loneliness net of covariates. • Loneliness decreased in those who experienced income shock during the Great Recession. • Changes in health and social experiences did not explain the income shock effect. • Reducing financial difficulties may reduce loneliness in older adults..Long-Term Decline in Intergenerational Social Mobility in the United States, 1850–2015.
Proceedings of the National Academy of Sciences. 117(1):251–258.
DOI . We make use of newly available data that include roughly 5 million linked household and population records from 1850 to 2015 to document long-term trends in intergenerational social mobility in the United States. Intergenerational mobility declined substantially over the past 150 y, but more slowly than previously thought. Intergenerational occupational rank–rank correlations increased from less than 0.17 to as high as 0.32, but most of this change occurred to Americans born before 1900. After controlling for the relatively high mobility of persons from farm origins, we find that intergenerational social mobility has been remarkably stable. In contrast with relative stability in rank-based measures of mobility, absolute mobility for the nonfarm population—the fraction of offspring whose occupational ranks are higher than those of their parents—increased for birth cohorts born prior to 1900 and has fallen for those born after 1940..Heterogeneous Treatment Effects on Children’s Cognitive/Non-Cognitive Skills: A Reevaluation of an Influential Early Childhood Intervention.
Social Science Research. 86:102389.
DOI . The 1962–67 High/Scope Perry Preschool Program, a well-known experimental early childhood intervention study that provided quality preschool education to disadvantaged children, has been shown to have had positive impacts on early child development and on a variety of adulthood outcomes. However, most previous analyses have only examined average treatment effects across all program participants without exploring possible effect heterogeneity by children's background characteristics. We investigated this question by first using the 1964–65 Current Population Survey data in combination with the Perry data to construct a scale of child socioeconomic status based on the estimated propensity for inclusion in the Perry program, then analyzing effect heterogeneity within the Perry sample by strata of our socioeconomic scale. We found that the treatment effects of enrollment in the Perry preschool on cognitive and non-cognitive skills were much larger and more persistent among the most disadvantaged children than among others in the Perry program. Furthermore, among the most disadvantaged children, the treatment (i.e., preschool enrollment) affects later outcomes through a reinforcement mechanism of skill development (i.e., early cognitive gain leads to a non-cognitive gain, which in turn leads to later cognitive gain) and a sequential improvement of cognitive skills over time. These findings have important implications for the evaluation of policy interventions in early child development using experimental data..
2019
Linked Lives, Linked Trajectories: Intergenerational Association of Intragenerational Income Mobility.
American Sociological Review. 84(6): 1037–1068.
DOI . Most intergenerational mobility studies rely on either snapshot or time-averaged measures of earnings, but have yet to examine resemblance of earnings trajectories over the life course of successive generations. We propose a linked trajectory mobility approach that decomposes the progression of economic status over two generations into associations in four life-cycle dimensions: initial position, growth rate, growth deceleration, and volatility. Using father-son dyad data from the Panel Study of Income Dynamics, we show that men resemble their fathers not only in the overall level of earnings but also in the pattern by which their earnings develop over time. The intergenerational persistence of earnings varies substantially across life stages of both generations; it is strongest for fathers’ early-career and sons’ mid-career, with an intergenerational elasticity (IGE) as high as .6. This result can be explained by the concurrence of the parent’s early career and the offspring’s early childhood. Our findings suggest the intergenerational economic association between parents and offspring is not age-constant but is contingent on the respective life stages of both generations and, most importantly, the period during which they overlap..Shared Lifetimes, Multigenerational Exposure, and Educational Mobility.
Demography 56(3): 891–916.
DOI . In this article, we report analyses of the effects of fertility and mortality trends on the mutual exposure of grandparents and grandchildren and their consequences for multigenerational processes of social mobility in the United States from 1900 to 2010. Using historical vital statistics and stable population models, we report systematic analyses of grandparent-grandchild exposures from both prospective (grandparent) and retrospective (grandchild) perspectives. We also estimate exposure levels and trends specific to education levels of grandparents and grandchildren and decompose the overall trend into the effect of changing mortality, fertility level, and fertility timing. We show that changes in mutual exposure of grandparent and grandchild generations may have contributed to an increasing association between grandparents’ and grandchildren’s educational attainments..Parental Divorce Is Not Uniformly Negative for Children’s Educational Attainment.
Proceedings of the National Academy of Sciences 116(15): 7266–7271.
DOI. Children whose parents divorce tend to have worse educational outcomes than children whose parents stay married. However, not all children respond identically to their parents divorcing. We focus on how the impact of parental divorce on children’s education varies by how likely or unlikely divorce was for those parents. We find a significant negative effect of parental divorce on educational attainment, particularly college attendance and completion, among children whose parents were unlikely to divorce. Families expecting marital stability, unprepared for disruption, may experience considerable adjustment difficulties when divorce occurs, leading to negative outcomes for children. By contrast, we find no effect of parental divorce among children whose parents were likely to divorce. Children of high-risk marriages, who face many social disadvantages over childhood irrespective of parental marital status, may anticipate or otherwise accommodate to the dissolution of their parents’ marriage. Our results suggest that family disruption does not uniformly disrupt children’s attainment..Why Does Parental Divorce Lower Children’s Educational Attainment? A Causal Mediation Analysis.
Sociological Science 6: 264–292.
DOI . Mechanisms explaining the negative effects of parental divorce on children’s attainment have long been conjectured and assessed. Yet few studies of parental divorce have carefully attended to the assumptions and methods necessary to estimate causal mediation effects. Applying a causal framework to linked U.S. panel data, we assess the degree to which parental divorce limits children’s education among whites and nonwhites and whether observed lower levels of educational attainment are explained by postdivorce family conditions and children’s skills. Our analyses yield three key findings. First, the negative effect of divorce on educational attainment, particularly college, is substantial for white children; by contrast, divorce does not lower the educational attainment of nonwhite children. Second, declines in family income explain as much as one- to two-thirds of the negative effect of parental divorce on white children’s education. Family instability also helps explain the effect, particularly when divorce occurs in early childhood. Children’s psychosocial skills explain about one-fifth of the effect, whereas children’s cognitive skills play a minimal role. Third, among nonwhites, the minimal total effect on education is explained by the offsetting influence of postdivorce declines in family income and stability alongside increases in children’s psychosocial and cognitive skills.
2017
Rising Intragenerational Occupational Mobility in the United States, 1969-2011.
American Sociological Review 82(3): 568–599.
DOI . Despite the theoretical importance of intragenerational mobility and its connection to intergenerational mobility, no study since the 1970s has documented trends in intragenerational occupational mobility. The present article fills this intellectual gap by presenting evidence of an increasing trend in intragenerational mobility in the United States from 1969 to 2011. We decompose the trend using a nested occupational classification scheme that distinguishes between disaggregated micro-classes and progressively more aggregated meso-classes, macro-classes, and manual and nonmanual sectors. Log-linear analysis reveals that mobility increased across the occupational structure at nearly all levels of aggregation, especially after the early 1990s. Controlling for structural changes in occupational distributions modifies, but does not substantially alter, these findings. Trends are qualitatively similar for men and women. We connect increasing mobility to other macro-economic trends dating back to the 1970s, including changing labor force composition, technologies, employment relations, and industrial structures. We reassert the sociological significance of intragenerational mobility and discuss how increasing variability in occupational transitions within careers may counteract or mask trends in intergenerational mobility, across occupations and across more broadly construed social classes..Genealogical Microdata and Their Significance for Social Science.
Annual Review of Sociology 43: 1.1–1.25.
DOI . Despite long-standing recognition of the importance of family background in shaping life outcomes, only recently have empirical studies in demography, stratification, and other areas begun to consider the influence of kin other than parents. These new studies reflect the increasing availability of genealogical microdata that provide information about ancestors and kin over three or more generations. These data sets, including family genealogies, linked vital registration records, population registers, longitudinal surveys, and other sources, are valuable resources for social research on family, population, and stratification in a multigenerational perspective. This article reviews relevant recent studies, introduces and presents examples of the most important sources of genealogical microdata, identifies key methodological issues in the construction and analysis of genealogical data, and suggests directions for future research..Short-Term and Long-Term Educational Mobility of Families: A Two-Sex Approach.
Demography 54(1): 145–173.
DOI . We use a multigenerational perspective to investigate how families reproduce and pass their educational advantages to succeeding generations. Unlike traditional mobility studies that have typically focused on one-sex influences from fathers to sons, we rely on a two-sex approach that accounts for interactions between males and females—the process in which males and females mate and have children with those of similar educational statuses and jointly determine the educational status attainment of their offspring. Using data from the Panel Study of Income Dynamics, we approach this issue from both a short-term and a long-term perspective. For the short term, grandparents’ educational attainments have a direct association with grandchildren’s education as well as an indirect association that is mediated by parents’ education and demographic behaviors. For the long term, initial educational advantages of families may benefit as many as three subsequent generations, but such advantages are later offset by the lower fertility of highly educated persons. Yet, all families eventually achieve the same educational distribution of descendants because of intermarriages between families of high- and low-education origin..
2016
Diverging Mobility Trajectories: Grandparent Effects on Educational Attainment in One- and Two-Parent Families.
Demography 53(6): 1905–1932.
DOI . In recent years, sociological research investigating grandparent effects in three-generation social mobility has proliferated, mostly focusing on the question of whether grandparents have a direct effect on their grandchildren's social attainment. This study hypothesizes that prior research has overlooked family structure as an important factor that moderates grandparents' direct effects. Capitalizing on a counterfactual causal framework and multigenerational data from the Panel Study of Income Dynamics, this study examines the direct effect of grandparents' years of education on grandchildren's years of educational attainment and heterogeneity in the effects associated with family structure. The results show that for both African Americans and whites, grandparent effects are the strongest for grandchildren who grew up in two–parent families, followed by those in single–parent families with divorced parents. The weakest effects were marked in single-parent families with unmarried parents. These findings suggest that the increasing diversity of family forms has led to diverging social mobility trajectories for families across generations..
2015
Ancestry Matters: Patrilineage Growth and Extinction.
American Sociological Review 80(3): 574–602.
DOI . Patrilineality, the organization of kinship, inheritance, and other key social processes based on patrilineal male descent, has been a salient feature of social organization in China and many other societies for centuries. Because patrilineage continuity or growth was the central focus of reproductive strategies in such societies, we introduce the number of patrilineal male descendants generations later as a stratification outcome. By reconstructing and analyzing 20,000 patrilineages in two prospective, multi-generational population databases from eighteenth- and nineteenth-century China, we show that patrilineages founded by high-status males had higher growth rates for the next 150 years. The elevated growth rate of these patrilineages was due more to their having a lower probability of extinction at each point in time than to surviving patrilineal male descendants having larger numbers of sons on average. As a result, male descendants of high-status males account for a disproportionately large share of the male population in later generations. In China and elsewhere, patrilineal kin network characteristics influence individuals’ life chances; effects of a male founder’s characteristics on patrilineage size many generations later thus represent an indirect channel of status transmission that has not been considered previously..Prospective Versus Retrospective Approaches to the Study of Intergenerational Social Mobility.
Sociological Methods and Research 44(4): 555–584.
DOI . Most intergenerational social mobility studies are based upon retrospective data, in which samples of individuals report socioeconomic information about their parents, an approach that provides representative data for offspring but not the parental generation. When available, prospective data on intergenerational mobility, which are based on a sample of respondents who report on their progeny, have conceptual and practical advantages. Prospective data are especially useful for studying social mobility across more than two generations and for developing joint models of social mobility and demographic processes. Because prospective data remain relatively scarce, we propose a method that corrects retrospective mobility data for the unrepresentativeness of the parental generation and thus permits them to be used for models of social mobility and demographic processes. We illustrate this method using both simulated data and data from the Panel Study of Income Dynamics. In our examples, this method removes more than 95 percent of the bias in the retrospective data..Market Transition Revisited: Changing Regimes of Housing Inequality in China, 1988-2002.
Sociological Science 1: 277–291.
DOI . This paper revisits the market transition theory of Nee (1989), using housing as an alternative to income as a measure of socioeconomic attainment. We argue that housing space is a better outcome variable by which to evaluate Nee’s market transition theory because it is a more consistent measure of socioeconomic success than income before and after the economic reform. Using three waves of a national household survey in 1988, 1995, and 2002, we compare temporal changes in the role of market and redistributive determinants for income and housing space. In support of a weak form of the theory, our results show that market determinants replaced redistributive determinants over time as the most significant predictors of housing space. In contrast, parallel analyses of income show mixed results for market and redistributive determinants..
2014
Ethnic Stratification in China’s Economic Transition: Evidence from Xinjiang Uyghur Autonomous Region.
Social Science Research 44: 158–172.
DOI . This paper analyzes a sample from the 2005 mini-census of Xinjiang to examine ethnic stratification in China’s labor markets, with a special focus on how ethnic earnings inequality varies by employment sector. We show that Han and Uyghur Chinese dominated different economic sectors. Excluding those in agriculture, Uyghurs were more likely to work in government or institutions than either Han locals or migrants, and also more likely to become self-employed. The Han–Uyghur earnings gap was negligible within government/public institutions, but increased with the marketization of the employment sector. It was the largest among the self-employed, followed by employees in private enterprises and then employees in public enterprises. Han migrants in economic sectors enjoyed particular earnings advantages and hukou registration status had no impact on earnings attainment except in government/public institutions. These findings have important implications for understanding social and economic sources of increasing ethnic conflicts in Xinjiang in recent years..