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What have we learned about mortality patterns over the past 25 years?

In this paper, I examine progress in the field of mortality over the past 25 years. I argue that we have been most successful in taking advantage of an increasingly data-rich environment to improve aggregate mortality models and test pre-existing theories. Less progress has been made in relating our estimates of mortality risk at the individual level to broader mortality patterns at the population level while appropriately accounting for contextual differences and compositional change. Overall, I find that the field of mortality continues to be highly visible in demographic journals, including Population Studies. However much of what is published today in field journals could just as easily appear in neighbouring disciplinary journals, as disciplinary boundaries are shrinking.


Introduction
While the past few decades have witnessed nearsteady increases in both global life expectancy (UN 2019) and record life expectancy (Oeppen and Vaupel 2002), this progress has been coupled with major challenges. HIV/AIDS caused unprecedented life expectancy declines in much of sub-Saharan Africa throughout the 1990s and 2000s (Timaeus and Jasseh 2004;Dorling et al. 2006;Bongaarts et al. 2011). The collapse of the former Soviet Union unleashed substantial fluctuation in adult mortality rates throughout Central and Eastern Europe in its aftermath (Leon et al. 1997;Shkolnikov et al. 2001;Grigoriev et al. 2014). Deaths both directly and indirectly attributable to violence have severely tempered or reversed life expectancy gains in parts of the Eastern Mediterranean Region (Mokdad et al. 2016), as well as Latin America and the Caribbean (Canudas-Romo and Aburto 2019). Alarms have recently been sounded over midlife mortality and stalling life expectancy in the United States (US) (Case and Deaton 2015;Mehta et al. 2020) and in England and Wales (Leon et al. 2019). Finally, as this paper was being written, mortality again came to the fore of public attention as the world was hit by the Covid-19 pandemic. Individuals were quarantined, schools shut, and borders closed. Public health methods once thought to be archaic were our prime defence against a virus meeting a completely susceptible world population.
This context, coinciding with the 75th anniversary of the Population Studies journal, is as good a time as any to take stock of developments in the field of human mortality. Disciplines as diverse as actuarial science, epidemiology, gerontology, and health economics can all claim a fundamental role in having shaped our knowledge about the patterns and determinants of mortality. Each has its own favourite models and outcome measures. Traditionally, demographers favoured the life table and life expectancy, whereas epidemiologists conducted survival analysis and reported relative risks. But the delineation between fields is becoming increasingly blurred, as demographers have moved from classic demographic modelling and description towards seeking explanations for mortality differences, borrowing causal inference techniques from the neighbouring social, statistical, and biological sciences. What continues to distinguish the field of mortality research in demography from neighbouring disciplines is less about the models we use and more about the patterns we are trying to estimate and explain: population-level age patterns of mortality.
For the 50th anniversary issue, Preston (1996) provided an overview of 50 years of population studies in mortality, using the publications in this journal as a window into the broader field. He highlighted the success of demographers during these first 50 years in developing indirect techniques to estimate infant and child mortality but noted comparably less success in estimating adult mortality and understanding its key determinants, apart from smoking. Likewise, Preston (1996, p. 535) predicted a movement in the field away from individual-level analyses of the 'quasi-biological relationships that were investigated with WFS [World Fertility Survey]-style data (birth spacing, parity, age)' and towards investigating the sources of change in adult mortality.
In this review, I take Preston's observations as a point of departure and ask what we have learned since then. As mortality is a broad field, I narrow my attention to theoretical and methodological developments to describe and explain aggregate trends and differentials in mortality. These developments are split into several broad themes: life course research, macro-level determinants and social inequalities, theories of ageing, the heritability of longevity, mortality models, and forecasting.
While I attempt to cover a wide range of topics, undoubtedly some major topics and findings will be overlooked in this review, and it is skewed towards my own research interests. In the interests of space, I give short shrift to describing and explaining differences in mortality trends between specific populations, between the sexes, and between subnational groups. Instead, I aim to summarize the theories and models developed over the past 25 years that are general and applicable to all three lines of research. I also restrict this review to the study of mortality, ignoring the substantial advances made in recent years in studying health expectancies (for an overview, see Jagger et al. 2020).
After reviewing the major developments in the field, I examine what has been published in Population Studies specifically over these past 25 years and whether the journal continues to be a mirror reflecting the major developments within the field. I end with some thoughts on the current state of our knowledge. I argue that as the field has become more fragmented, we have become less concerned with overarching theories, such as the classic demographic and epidemiological transition theories. Instead we have pursued explanations covering varied and overlapping parts of the life course, which present a challenge with regard to aggregating up to the population level or ranking in terms of their importance in driving our most basic mortality differentials.

Mortality theories
Mortality theories describe both individual-and population-level differences in survival. Many if not most of these theories have been around for a long time, but new data sets and methods have allowed us to test these theories in ways that were not possible even 25 years ago.

Life course theories
Life course research investigates how later-life mortality is impacted by events set into motion in early life or other critical periods. It also encompasses research into mortality patterns resulting from long-term exposure to various health-deleterious behaviours and hazards. Over the past 25 years there has been considerable theorizing about how life course events impact mortality and some success in testing these theories, but perhaps less success in understanding to what extent they are driving mortality differentials internationally and subnationally.
Many of the key life course theories have existed for decades, although they continue to be refined and tested. Preston et al. (1998) distinguished four mechanisms linking early-life conditions to adult mortality: two were positively related to later-life mortality and two were negatively related. The first of these mechanisms was mortality scarring. Such scarring can arise from adverse events occurring during critical periods; see, for example, the 'developmental origin of disease' literature (Barker 1995;Doblhammer and Vaupel 2001;Doblhammer 2004;Schulz 2010). Finch and Crimmins (2004) discussed the idea of a 'cohort morbidity phenotype', that is, that inflammation from early-life exposure to infectious disease makes individuals more susceptible to a range of chronic diseases in later life, with the implication that the disease load encountered during childhood will have consequences for laterlife mortality patterns. The second mechanism leading to higher later-life mortality was based on correlated environments. Detrimental social conditions encountered in childhood weaken educational opportunities and set in motion limited S106 Alyson A. van Raalte opportunities for upward mobility and its associated lower mortality, a process termed the 'long arm of childhood' (Hayward and Gorman 2004). The third mechanism, this one leading to lower adult mortality, was acquired immunity. An example here would be the differences in cohort susceptibility to influenza mortality late in life based on the circulating strains encountered in childhood (Gagnon et al. 2018;Acosta et al. 2019). The fourth mechanism was mortality selection (Vaupel et al. 1979), namely that frailer individuals will die in harsh conditions, leading to a more robust group of survivors at older ages.
Testing any of these theories is challenging, generally requiring rich individual-level data covering exceptionally long periods of time. Much of the empirical literature has found a surprisingly small impact of childhood circumstances on aggregate later-life mortality (Myrskylä 2010). This does not necessarily mean that the theories are incorrect. Empirically, it is a major challenge to separate these cohort-based mechanisms-which are likely to be operating simultaneously-especially when their individual effects might cancel each other out (e.g. selection vs scarring) .
Demographers have also long been interested in how generational differences leave their imprint on mortality. This is challenging because cohorts age through changing macro environments as well as changing social norms. Linking life course theory to macro-level environmental changes, Fogel and Costa (1997) argued in their theory of 'technophysio revolution' that any explanation of the long-term changes in life expectancy must consider the unprecedented changes in underlying human physiology that have taken place since the Industrial Revolution, brought about by our actions to control the environment.
While progress has been made in identifying the role of cohort smoking patterns on mortality trends and differentials (Preston et al. 2011;Peto et al. 2015), few other behaviours and determinants appear to be so clearly cohort patterned or sufficiently varied across populations that their signal can be easily identified. Obesity is potentially another candidate, and numerous studies have modelled its impact on mortality levels and trends (see, for instance, Peeters et al. 2003;Flegal et al. 2013;Preston et al. 2018). But there are still disagreements on how best to model obesity, due to the methodological challenges associated with observational data and weight change, residual confounding by smoking status, and other modelling choices that may bias results (Stokes and Preston 2016). Unlike lung cancer for smoking, there is no cause of death that is so clearly dominated by obesity that it can act as an indirect marker for the population-level harm. This is also the case for attributing causes of death to other health behaviours, many of which impact mortality on different timescales. For instance, excessive alcohol consumption can contribute to increased short-term mortality risk through accidents, as well as increased long-term risk through diseases such as liver cirrhosis.
Additionally, the increasing usage of biomarker data has opened up promising avenues for exploring how individuals differ 'under the skin' (Crimmins and Seeman 2004;Crimmins et al. 2010) and understanding which disease processes are most closely linked with later mortality (Gruenewald et al. 2006;Dowd et al. 2009). This can go some way towards testing the mechanisms in which life course processes impact mortality. Unsurprisingly, the biomarkers most strongly and consistently linked with mortality are indicators of cardiovascular function and metabolic processes (e.g. blood pressure, heart rate, cholesterol levels, glucose control, and markers of weight and adiposity) (Crimmins and Vasunilashorn 2011), since circulatory diseases remain the leading cause of death in most countries (Bongaarts 2014;Bergeron-Boucher et al. 2020).
The major challenge moving forward is to relate our life course theories more closely to aggregatelevel mortality patterns. At the moment most life course studies are conducted at the individual level. The extent to which life course mechanisms drive population-level differences in mortality (as opposed to individual-level differences in mortality) remains poorly understood, with the possible exception of cohort smoking patterns. How do populations actually differ in terms of their life courses? Which life course mechanisms are most closely related to different disease processes and to death, and over which ages do they operate? To what extent have these mechanisms changed over time for different population groups and to what extent can they be expected to continue in future? Given the rapid changes in the disease and nutritional environments experienced by cohorts over the last 150 years, these questions remain highly complex.
between populations (Preston 1975) and that withinpopulation differences in mortality by socio-economic position can be substantial (Antonovsky 1967;Kitagawa and Hauser 1968). Taking stock of the state of affairs around the early 1990s, we can see that debates emerged surrounding the impact of income inequality on life expectancy (Wilkinson 1992); researchers were digesting the key findings from the Whitehall II study of British civil servants (Marmot et al. 1991); estimates were made of the educational gradient in mortality across highincome countries (Kunst and Mackenbach 1994;Elo and Preston 1996); concerns were raised over growing socio-economic inequalities in child mortality in low-income countries (Cleland et al. 1992); and the theory of fundamental causes was proposed to explain the development and persistence of socioeconomic inequalities in mortality (Link and Phelan 1995). In many ways, each of these lines of research has continued to the present. Preston's (1975) seminal paper in Population Studies on the cross-sectional curvilinear relationship between gross national income and life expectancy, which shifted upwards over time, is still 'sparking fires' (Bloom and Canning 2007). Key debates surround the direction of causality between national income and health (Bloom and Canning 2000), as well as the relative importance of endogenous vs exogenous factors in explaining this relationship (Cutler et al. 2006;Lutz and Kebede 2018). More generally, 'Preston curves', as they are now known, remain a key piece of evidence in one of the longest-running debates in mortality circles: what caused the monumental and sustained increases in life expectancy that began around the mid-nineteenth century? On one side are those who argue that improved economic conditions, particularly improved nutrition, were paramount (McKeown and Record 1962;McKeown 1976;Fogel 1994Fogel , 2004Harris 2004). On the other, are those arguing that the diffusion of knowledge about disease transmission, coupled with the provision of clean water, was more important (Szreter 1988;Preston and Haines 1991;Cutler and Miller 2005;Deaton 2013). Preston's (1975) analysis covered only the twentieth century. For this period, the idea that the same level of national income could 'buy' progressively more years of life expectancy over time was used to argue that improving economic conditions could not have been the primary driver of the major increases in life expectancy experienced around the world. As Soares (2007) noted, replacing income with average calorific intake reproduces broadly similar upward-shifting Preston curves. He drew on a wealth of evidence to argue instead that the diffusion of new technologies, especially immunization and improved public health infrastructure, was the key driver of post-Second World War life expectancy increases in less developed countries.
A few years after Preston's paper, Rodgers (1979) found that income inequality was associated with higher mortality. Investigating the strength of this relationship and its independence from the relationship between income and health overall has been a much-hyped line of research during the past 25 years. According to this view, income inequality negatively impacts health through both material and psychosocial pathways (Wilkinson 1996(Wilkinson , 1997Marmot and Wilkinson 2001;Wilkinson and Pickett 2006). The theory was tested across many countries and time periods, using different study designs. Of 26 aggregate studies conducted by the early 2000s, 15 supported the income inequality hypothesis, six found no association, and five offered mixed support (Lynch et al. 2004). The debate is still active, with more recent papers arguing for (Pickett and Wilkinson 2015) and against (Hu et al. 2015) a causal association between income inequality and mortality. According to the more nuanced view of Torre and Myrskylä (2014), the association holds only over younger ages, not over older ages where most of the chronic disease occurs.
Another macroeconomic perspective debated in mortality research has been how the business cycle influenced mortality trends. The early prevailing view was that at the population level, economic downturns increased mortality (Brenner 1979), and at the individual level, long durations of unemployment were associated with higher mortality (Martikainen 1990). Ruhm (2000) upended these views with an influential study arguing that mortality was procyclical, aside from a few smaller causes of death, such as suicide. Ruhm explained these patterns by behavioural mechanisms, arguing that increases in labour force activity led to increased smoking and reduced physical activity. This was combined with increased workplace and road traffic accidents during economic booms.
Since then, procyclical mortality has been confirmed in many other countries and settings (Neumayer 2004;Tapia Granados 2005Tapia Granados and Diez Roux 2009;Van den Berg et al. 2017), although some studies have found either countercyclical mortality (Economou et al. 2008) or a weakening of procyclical mortality (Ruhm 2015) in more recent years. Edwards (2008) found that S108 Alyson A. van Raalte more highly educated men in the US experienced procyclical mortality, whereas lower-educated men experienced countercyclical mortality, suggesting that the personal resources available to withstand economic hardship might play an important role in the employment-mortality nexus.
Research into socio-economic inequalities in mortality has been another rich area of investigation in the last 25 years, in part because of more widely available data sets covering different components of socio-economic position. This has led to a general recognition that 'although the biological potential for a long life may be stochastically distributed throughout the population, individuals' opportunities to capitalize upon this potential are not' (Gutin and Hummer 2021, p. 514). In this period, it became increasingly clear that while all European and Anglo-Saxon nations experienced socio-economic gradients in mortality, levels of inequality could differ substantially (Mackenbach et al. 2008;Avendano et al. 2009). Across European countries (van Raalte et al. 2011) and US states (Montez et al. 2019), life expectancies varied considerably among low-educated groups, but were remarkably similar among more highly educated groups. This suggests that the most advantaged individuals are less dependent on their own population's circumstances and that differences in inequalities across populations are driven by the extent to which populations succeed in protecting their most vulnerable citizens from premature mortality.
Theories continue to be advanced on the social determinants of mortality (for an overview, see Elo 2009;Pampel et al. 2010;Mackenbach 2017; Raalte and Seaman 2020). These include behavioural determinants, material explanations, psychosocial factors, and cumulative life course adversity. Such explanations are not mutually exclusive, but they are likely to change in importance over the life course. They may also operate differently across contexts. As with life course theories discussed earlier, there has been excellent research showcasing specific instances of when these theories are operating, but we lack a general understanding of the magnitude of importance of these theories and how they are changing over time.
A key question remains around how tractable inequalities are in terms of different social policies. To many, it came as a surprise that countries with strongly redistributive and universalistic welfare policies experienced among the highest levels of social inequality: this became known as the Nordic Paradox (Mackenbach 2017). Yet in the US, Montez and colleagues found a strong role for differences in social policies enacted at the state level in driving overall life expectancy trends (Montez et al. 2020) and educational disparities in mortality (Montez et al. 2019).
Increasingly, attention has turned to look beyond mean differences in mortality outcomes. Disadvantaged socio-economic groups tend to experience considerably more variability in their ages at death, a feature also termed lifespan variation or lifespan inequality (Shkolnikov et al. 2003;Edwards and Tuljapurkar 2005;van Raalte et al. 2011). Lifespan variation can be interpreted as both the heterogeneity in population health and the individual uncertainty in the timing of death. A concerning finding is that socio-economic groups are diverging in lifespan variation regardless of trends in life expectancy; this is explained mostly by stalls in the decline of premature mortality (van Raalte et al. 2014;Sasson 2016;Brønnum-Hansen 2017;Permanyer et al. 2018;van Raalte et al. 2018). In other words, advantaged groups are experiencing longer and more predictable lives. But for lower socio-economic groups, even if their average lifetime is generally increasing, the certainty of reaching that average is declining.
Outside Europe and Anglo-Saxon countries, nationally representative data on socio-economic inequalities in mortality remain scarce, and there are few high-quality comparative studies. There is conflicting evidence about just how universal socioeconomic gradients in mortality are. Reversed occupational class gradients in mortality have been found in Japan and South Korea (Tanaka et al. 2019), but a positive and growing socio-economic gradient in mortality has been observed among educational groups in South Korea (Bahk et al. 2017) and for various dimensions of socio-economic status among older people in China (Luo and Xie 2014). Still others have argued that Asian populations experience comparable or even higher inequalities than western ones (Woodward et al. 2015). Reversed gradients have also appeared among older adults in Mexico and Costa Rica (Rosero-Bixby and Dow 2009; Rosero-Bixby 2018), whereas no clear gradient was found in Kenya or Zambia (Chapoto et al. 2012). Using harmonized longitudinal data covering China, Costa Rica, Indonesia, Mexico, South Africa, and South Korea, Sudharsanan et al. (2020) showed that although the tertiary educated held a consistent advantage in survival, completing secondary education did not always confer a survival benefit compared with holding no educational qualifications.
Pulling these findings together, we can see that over the past 25 years the important roles of macroeconomic conditions and social inequalities in Mortality patterns over the past 25 years S109 shaping mortality patterns between and within populations have been confirmed in a subset of developed countries. Hopefully, in the next 25 years, data limitations can be overcome to allow examination of these issues within a broader world context.

The force of mortality at older ages
Until the late twentieth century, interest in mortality at older ages was relatively small. The prevailing view at the time was that old-age mortality was challenging to tackle medically, and it was assumed that little progress had been made in increasing survival at older ages. By convention, national statistical offices aggregated data at ages above 85, further hampering efforts to monitor progress in reducing mortality at the highest ages. This view changed in the mid-1990s after several studies showed that death rates at older ages were declining more sharply than imagined (Kannisto et al. 1994;Manton and Vaupel 1995;Kannisto 1996). This was even occurring at the very oldest ages, as shown by an increase in the maximum attained age (Wilmoth and Lundström 1996) and an increasing number of centenarians, beyond what would be expected based on cohort size (Wilmoth et al. 2000).
Overall, data quality issues continue to be major concerns in the study of centenarians. Age misreporting is common (Robine 2007;Maier et al. 2010). As an extreme example, Nepomuceno and Turra (2020) reported that 4,438 individuals claimed to be centenarians in the 1900 Brazilian Census, a figure that grew to over 24,000 in 2000. Using variable-r relationships and various mortality models, these authors estimated that there were virtually no centenarians in 1900 and fewer than 1,000 in the year 2000. Less extreme, but still considerable, are the concerns raised in several high-income countries around data quality at oldest ages (Preston and Elo 1999;Bourbeau and Lebel 2000;Hill et al. 2000;Rosenwaike and Stone 2003).
Debates on the shape of mortality at older ages were prominent during this period. Large collaborative efforts were undertaken to assemble mortality data at older ages across countries with data of reasonably good quality (Kannisto 1996). This resulted first in the Kannisto-Thatcher database and, later, the International Database on Longevity. After considerable study of mortality patterns among older people, the consensus from these collaborations was that mortality could best be described by a type of logistic function now known as the Kannisto function (Thatcher et al. 1998).
The Kannisto function has since become the standard method for period life table creation, including for the Human Mortality Database (HMD) (Wilmoth et al. 2017).
Decelerating death rates, reaching a plateau at the oldest ages, are consistent with the theory of mortality heterogeneity (Vaupel et al. 1979). Importantly, under this theory, individual mortality risks continue to be exponential. A plateau observed at the population level would result from the selective mortality of frail population subgroups (Vaupel and Yashin 1985). The death rates of various insects, worms, and yeasts appear to decelerate with age ). Among humans, several theoretical and empirical studies of longevity have also supported deceleration (Horiuchi and Wilmoth 1998;Lynch and Brown 2001;Feehan 2018). By pooling data on supercentenarians (i.e. those who had attained age 110) from 13 populations to attain a large enough sample, Gampe (2010) found that the hazard function appeared constant from ages 110 to 114, after which the data were too sparse to make a reliable estimate. A decade later, Gampe (2021) updated the analysis with double the observations and came to a similar conclusion. Further evidence came from Italian mortality patterns, which Barbi et al. (2018) claimed provided clear evidence of mortality deceleration from about age 80, reaching a plateau around age 105.
This conclusion is not without its controversy. A competing perspective is that a mortality plateau could come about from age misreporting, which is common among centenarians (Newman 2018; Gavrilov and Gavrilova 2019). Using 'extinct generations' methods applied to monthly US Social Security data, Gavrilov and Gavrilova (2011) contended that mortality even up to the oldest ages is best characterized by a Gompertz hazard. Based on the bold claims made in the Barbi et al. (2018) study, Camarda et al. (2019) argued that the sample size of survivors was too small to confidently reject other possibilities for the shape of ageing at oldest ages, including a Gompertz hazard. Wrigley-Field (2014) warned that the link between mortality selection and mortality deceleration is often more complex than theorized, with multiple mortality decelerations or even accelerations being possible results of the changing composition of frailty within cohorts.

The heritability of longevity
In the early 1990s, the best estimates of the heritability of longevity came from twin studies. By S110 Alyson A. van Raalte comparing the similarity in ages at death between identical twin pairs (who are genetically identical) with fraternal twin pairs (who share 50 per cent of their genes), researchers estimated that about a quarter of the variation in longevity was heritable (McGue et al. 1993;Herskind et al. 1996).
Within-family research continued through the early 2000s. Sibling studies consistently demonstrated a strong familial component to longevity (Gudmundsson et al. 2000;Kerber et al. 2001;Schoenmaker et al. 2006). Perls et al. (2002) estimated that the siblings of American centenarians experienced death rates at around half the level experienced by the US 1900 birth cohort at all ages, a proportion at the high end of these types of studies. Cumulatively this led to male siblings of centenarians being 17 times more likely than other males to become centenarians themselves, and female siblings about eight times as likely. More puzzling, unlike other major individual attributes, such as socio-economic status, sex, or race, these relative differences did not converge at older ages. As the authors pointed out, these familial advantages could relate to shared environments or to shared behaviour, or be genetically determined, and should be seen as an upper bound to the heritability of longevity. Unravelling the importance of these three mechanisms has become an important topic in ageing research.
The Human Genome Project, which took place between 1990 and 2003, was a major international collaborative project to sequence the human genome. It was widely hoped that this endeavour would lead to the discovery of the genes which determine human longevity. Although a few candidate genes were found to be associated with ageing (Corder et al. 1996;Willcox et al. 2008), it became apparent early on that there was no single gene responsible for the large variation in human lifespans. Rather, any genetic component to longevity was likely to result from numerous mutations each conferring small effects (Christensen et al. 2006). This was disappointing, given that modifying a small combination of genes was able to substantially increase the longevity of simpler organisms, such as the nematode worm or fruit flies (for an overview of studies, see Finch and Tanzi 1997). Adding to the complexity, animal studies also showed that genes might affect mortality only above certain ages (Johnson et al. 2001).
More recently, attention has shifted to estimating the heritability of conditions and behaviour through genome-wide association studies and to calculating polygenic risk scores. Yet it has also become increasingly apparent that estimating any such genetic components cannot be understood without considering gene-environment interactions (Boardman et al. 2014;Tropf et al. 2017). For example, a recent study suggested that living in a neighbourhood perceived to be disorderly triggered a disease process among those with a genetic predisposition for type 2 diabetes (Robinette et al. 2019). Another study argued that the link between obesity and mortality was socio-behavioural rather than genetically determined, by comparing the mortality risks of obese people with high and low genetic predispositions to obesity (Vinneau et al. 2021).
Overall, the extent to which genetic differences across individuals shape our aggregate age patterns of mortality, or contribute to mortality differentials across nations and subpopulations, remains unclear. In the coming years, findings from the nascent field of sociogenomics (Mills and Tropf 2020) will likely provide new insights on the tractability of aggregate mortality patterns and differentials. Nevertheless, when we consider the full extent of mortality decline that humans have experienced within the context of evolutionary history-mortality differences between low-mortality populations and hunter-gatherers have become considerably larger than mortality differences between hunter-gatherers and wild chimpanzees, all within the space of four generations-it is clear that the potential for genetic variation to be an important contributor to population-level mortality differentials is small (Burger et al. 2012).
This section has highlighted numerous developments in the testing and development of mortality theories. To summarize broadly, over the past 25 years, there has probably been more research effort devoted to testing pre-existing theories of mortality with new and richer data sets than to the development of completely new theories. Many if not most of these theories are designed around a specific part of the life course; in other words, they aim to describe individual or withinpopulation differences in survival. It is less clear to what extent they should hold to explain differences in survival between populations and whether they are equally applicable in less developed settings. As data sets covering larger swathes of the world population become available, it will be important to test the universality of these theories and to integrate them into more coherent explanations for population-level mortality trends and differentials.
Mortality patterns over the past 25 years S111 Mortality models Crimmins (1993, p. 582) described formal demography as the subfield of demography with the most 'continuity and cumulation'. This description is equally applicable today, particularly to the formal modelling of mortality, where researchers continue to refine and increment classical models that have been around for decades.

Estimating mortality patterns in data-deficient regions
Many countries continue to lack functioning civil registration of vital statistics. Nearly 1 billion people live in the 50 countries of the world without data on adult mortality (Clark 2019). Child mortality tends to be better covered through household survey data. Sub-Saharan Africa, in particular, remains poorly covered. Modelled schedules of mortality are commonly used, supplemented by data from the demographic surveillance sites run by the International Network for the Demographic Evaluation of Populations and their Health (INDEPTH).
Estimates of child mortality obtained from census questions about the survival of recent births have been found to underestimate under-five mortality levels compared with household surveys with full birth histories (Merdad et al. 2016). Although the census method would have provided cheaper and more detailed regional data, the study's authors argued that the varying quality of the estimates cautions against including such questions on censuses.
A major development in the field of demographic estimation in data-poor contexts has been the use of Bayesian estimation methods. The advantage of Bayesian models is their ability to incorporate known prior information, as well as to quantify the uncertainty in the estimates themselves. These methods have been used to estimate subnational mortality (Alexander et al. 2017;Schmertmann and Gonzaga 2018), neonatal mortality (Hug et al. 2019), child mortality for finer spatial units (Wakefield et al. 2019), and maternal mortality (Alkema et al. 2016).
Modelling the prevalence of HIV/AIDS and its associated mortality has also been a major focus of demographers during this 25-year period. Data quality was a key issue, since the most affected countries lacked adequate civil registration of vital statistics. Instead, researchers made use of a range of data sources-including censuses (Blacker 2004), Demographic and Health Survey (DHS) data (Timaeus and Jasseh 2004), demographic surveillance systems (Hosegood et al. 2004), antenatal clinics (Salomon and Murray 2001), and vital statistics (Feeney 2001)-and estimates were obtained from both direct measurement and indirect methods such as sibling survivorship methods (Timaeus and Jasseh 2004). These different data sources and models yielded substantially different estimates of prevalence and mortality and were the source of heated debates (Feeney 2001;Blacker 2004).
The HIV/AIDS pandemic also created measurement challenges for key demographic quantities, such as child mortality levels. Often these are estimated using indirect methods from data provided by mothers on the survival of their children. In countries with generalized HIV epidemics and in the absence of antiretroviral therapy use, not accounting for the correlation of mortality risks between mothers and children has been found to bias estimates by up to 25 per cent (Walker et al. 2012).

Model schedules in data-deficient regions
In populations with poor data quality or for applications with sparse data, many of the classic tools of demography continue to be widely used today. These include parametric models of mortality, relational models, and model life tables, particularly the Coale et al. (1983) family of life tables (Heuveline and Clark 2011). However, the Coale-Demeny system has its disadvantages, in particular that it does not capture the relationship between child and adult mortality well when child mortality drops below about 50-60 per 1,000 (Wilmoth et al. 2012). Moreover, none of the model life table systems adequately capture adult mortality patterns in countries with high mortality from HIV/AIDS or conflict (Heuveline and Clark 2011).
Although classic methods continue to serve many purposes, several recent developments are worth mentioning, discussed here in chronological order. First, Murray et al. (2003) developed a modified logit system based on a large collection of life tables from the World Health Organization (WHO) (Lopez et al. 2002), supplemented by nonoverlapping life tables from existing collections in Preston et al. (1972) and those used in the United Nations (UN 1982) model life table system. This system followed the logic of the classic Brass (1971) logit system but departed from it in terms of the mathematical transformation used to generate a life table from the standard life table. S112 Alyson A. van Raalte Second, the collection of thousands of high-quality life tables from the HMD (Barbieri et al. 2015) was exploited in a new two-parameter, log-quadratic relational model life table system (Wilmoth et al. 2012). The life tables can be estimated based on information either from child mortality only or from child and adult mortality. This is a major advantage in regions where child mortality estimates are known from survey data but estimates of adult mortality are either unknown or of much lower quality. Caution should be applied here though. Using DHS survey data, Masquelier et al. (2014) found that trends in child and adult mortality had diverged in many sub-Saharan African regions over the past 30-40 years. This was particularly the case in countries with sustained HIV/AIDS outbreaks but was not limited to those countries.
Third, de Beer (2012) introduced the TOPALS (tool for projecting age-specific rates using linear splines) relational model. Essentially this model uses a linear spline to model the ratios between age-specific probabilities of death and a standard age schedule. The advantage of the model is that it is flexible to the choice of any standard age schedule (e.g. it could be a population aggregate or a best-practice mortality age schedule), but the pattern must be smooth. Generally, the choice of schedule depends on the intention in applying the model: whether for estimating smooth age-specific mortality schedules or for making projections about future age patterns of mortality. The model has proved particularly well suited for small-area mortality estimation, often in combination with Bayesian models (Gonzaga and Schmertmann 2016;Schmertmann and Gonzaga 2018;Rau and Schmertmann 2020).
Fourth, a series of papers has presented new methods to estimate age patterns of mortality in regions experiencing high HIV/AIDS mortality. Countries in such regions depart from traditional mortality schedules in that they report elevated mortality at very young ages and over middle adult ages. Bayesian methods have been developed to fit the eight-parameter Heligman-Pollard method, with the advantage that Bayesian estimation accounts for uncertainty (Sharrow et al. 2013). Clark (2019) developed a general, singular-value-decomposition (SVD), component-based mortality modelling framework. This framework models mortality schedules as a function of known covariates that relate to the variation in age-specific mortality schedules. Sharrow et al. (2014) used an HIV-calibrated version of this SVD-component method for countries with generalized HIV/AIDS epidemics.
Altogether, the increasing usage of Bayesian estimation models together with new, flexible model life table systems has no doubt increased the accuracy of mortality estimates in much of the world. Nevertheless, the lack of ground-truth data in much of the world, with which to test our models properly, remains problematic. We can only hope that by the next anniversary of Population Studies, a much larger proportion of the world will be covered by well-functioning civil registration and vital statistics systems.

Mortality patterns and models in data-rich settings
One of the most widely talked about demographic analyses of the past 25 years was Oeppen and Vaupel's (2002) seminal paper showing that increases in record period life expectancy for females were characterized by a straight line, with a gain of 2.5 years per decade. Although subsequent analysis showed that when populations with poorer data quality were excluded the trend line was more segmented (Vallin and Meslé 2009), the longrunning steady progress of the leaders in life expectancy continued to hold. From a birth cohort perspective, the decadal increase was even stronger . Even global average life expectancy was estimated to have increased by 1.9 years per decade between 1800 and 2001 (Riley 2005). Such findings went against widely held notions of future limits to life expectancy, which were often included as asymptotes in national statistical projections.
Pessimists were sceptical that gains made in the past could be replicated in the future, since much of the gain in life expectancy in the twentieth century had come from reducing mortality from infectious disease, particularly during infancy where it had already reached low levels. They argued that tackling complex chronic disease and obesity would be comparatively more challenging (Olshansky et al. 2001(Olshansky et al. , 2005. The counterargument to the Olshansky camp was the general finding of an 'ageing of mortality decline': namely that the ages at which death rates decline the most have been shifting higher and higher, mirroring the shifting societal priorities accompanying population ageing (Horiuchi and Wilmoth 1995; Rau et al. 2008Rau et al. , 2018. While the debate remains unsettled, demographers have made important contributions to the study of long-term mortality trends using cause-ofdeath reconstruction and analysis (Meslé 1999; Mortality patterns over the past 25 years S113 Pechholdová et al. 2017). Based largely on these long-term reconstructions, Vallin and Meslé (2004) argued that as novel social and biomedical innovations are first adopted by leading populations, mortality trends in any given country are better reflected by a series of divergence and convergence cycles with respect to leading countries, which may differ by cause of death.
Beyond looking at trends in mean survival, researchers have increasingly begun to compare the variation in ages at death across populations. This has led to the emergence of terms including rectangularization of the survival curve, mortality compression, lifespan/length-of-life inequality, or lifespan variation. Throughout most of the last 150 years, lifespan variation has been highly negatively correlated with life expectancy , particularly when examined with relative measures of variation (Smits and Monden 2009;Aburto et al. 2020). But there is no a priori reason for this to be the case (Wilmoth and Horiuchi 1999). Compared with life expectancy, lifespan variation as a measure is particularly sensitive to changes or differences in early adult mortality (Shkolnikov et al. 2003;Edwards and Tuljapurkar 2005;Firebaugh et al. 2014;Gillespie et al. 2014;van Raalte et al. 2018;García and Aburto 2019). Meanwhile, modal age at death has come back in fashion as an indicator that is particularly well suited to capturing the dynamics of mortality change at older ages (Kannisto 2001;Canudas-Romo 2008Ouellette and Bourbeau 2011;Horiuchi et al. 2013;Diaconu et al. 2016).
Whether mortality age patterns were best described by compression, expansion, or shifting (i.e. roughly whether the variation in ages at death was narrowing, increasing, or staying unchanged as mortality declined) has remained a hot topic over these past 25 years. Early disputes centred around disproving Fries' (1980) theory of morbidity compression. In it, he argued that the maximum human lifespan was fixed and biologically determined. As a consequence, as life expectancy approached this upper age limit, any further mortality decline would sharply compress deaths into a narrow age window below this upper limit.
Since the theory was based around the distribution of mortality at older ages, early studies used truncated age distributions to test for mortality compression. This was not a neutral decision. Generally, the older the truncation age, the more likely the finding of mortality expansion (Robine 2001;Engelman et al. 2010). Yet when the whole age range was examined, it was seen that sharp declines in infant mortality generally led to sharp declines in variation, all but obscuring the role of mortality dynamics over adult ages on changing patterns of variation (Wilmoth and Horiuchi 1999;Shkolnikov et al. 2003). Other empirical strategies examined trends in the standard deviation above the modal age at death (Kannisto 2001;Cheung et al. 2005;Cheung and Robine 2007;Ouellette and Bourbeau 2011). From this perspective, longrun mortality compression has existed since the mid-1950s in most countries, but this has been accompanied by considerable sub-periods of mortality expansion or shifting.
Other researchers have instead looked at trends in compression before and after a moving 'threshold age' Gillespie et al. 2014). This is the age above which declines in mortality lead to increases in lifespan variation, and it is unique to each age schedule of mortality and index of variability (Zhang and Vaupel 2009;van Raalte and Caswell 2013;Gillespie et al. 2014;Aburto et al. 2019;Aburto et al. 2020). Over the long run, trends in lifespan variation across the whole age range are driven mainly by mortality change below the threshold age. Since 1840, mortality above the threshold age has only experienced modest compression in HMD countries . This is consistent with a recent study showing that trends in lifespan variation calculated beyond fixed percentiles of survivors (instead of fixed age categories) were constant. Or as the authors put it, old age 'follows an advancing front, like a traveling wave' (Zuo et al. 2018, p. 11209). Distinguishing between trends in senescent and non-senescent mortality, Bongaarts (2005Bongaarts ( , 2009 also argued that changes to the age distribution of senescent mortality were best characterized by a shift in mortality along the age axis.
Taken altogether, the empirical evidence currently suggests that adult mortality is best characterized as shifting or mildly compressing. There is little evidence that we are approaching an intractable limit to life expectancy.

Demographic decomposition
One area in which we have made substantial methodological progress is demographic decomposition. Decomposition has a long history in demography, reaching back to the Kitagawa (1955) method to separate changes in rates into direct and compositional components. This line of research has continued, with more general methods developed in continuous time Canudas-Romo 2002, 2003).

S114 Alyson A. van Raalte
A second line of decomposition quantifies the contribution of different covariates to a change or difference in an aggregate measure. By the mid-1990s, life expectancy decomposition by age or by age and cause of death was a standard feature of the demographic toolkit (Andreev 1982;Arriaga 1984;Pressat 1985;Pollard 1988). But how decomposition related to other demographic methods, such as cause-deleted life tables, remained unclear, and similar analytic methods for other aggregate measures of mortality had not been derived.
Addressing the unclear relationship between decomposition and other tools of demography, Beltrán-Sánchez et al. (2008) derived a series of formulas showing the linkage between cause-deleted life tables and cause-of-death decomposition. Cause-of-death analysis was further developed by a new measure of life years lost based on the cumulative incidence of death (Andersen et al. 2013). Unlike cause-deleted life tables and some of the other methods for calculating years of life lost, this formulation does not require the often-untenable assumption of independence between causes of death. Also, it has the advantageous property that the numbers of life years lost from each of the different causes of death sum to the total life years lost from all causes of death, making it straightforward to decompose.
As far as extending the decomposition toolkit to other summary measures of mortality beyond life expectancy is concerned, two general methods were derived in the 2000s. In essence, these decompose differences in any aggregate measure into the contributions from differences in the covariates (for instance age-specific mortality) used to calculate the measure. The stepwise decomposition method (Andreev et al. 2002) does this by changing the covariates one at a time and recalculating the aggregate measure after each intermediate step to determine the impact of each covariate. The 'continuous change' method (Caswell 1996;Horiuchi et al. 2008) approximates the changes in an aggregate function between two populations by a linear combination of partial derivatives of the function with respect to the covariates. Since these measures are general, they have been widely used in applications for which no analytic decomposition of a measure has been derived, for example in measures of lifespan variation.

Mortality forecasting
Mortality forecasting is an area that has blossomed over the past 25 years. In 1996, the UN and most statistical offices around the world relied on deterministic, scenario-based projections of mortalityoften with high, medium, and low variants. Scenarios were limited in that they were typically seen as fixed throughout the projection period-for example, the 'low' mortality scenario was one in which rapid declines in mortality were expected to continue unabated, without allowing for stalls and accelerations. Moreover, these models required subjective expert opinion, and it was unclear how likely a population was to experience low or high scenarios.
Since the 1990s, there has been a general shift away from deterministic, scenario-based projections to probabilistic forecasting methods (Booth 2006). Lee and Carter (1992) led the way, with their model that extracts a time-varying index of the level of mortality via SVD on the matrix of log death rates, which is then forecasted using a random walk with drift. The model quickly became popular because it was simple, interpretable, and provided statistical uncertainty. Further vindication for the Lee-Carter model came from early applications showing that the time-varying mortality index was linear and remarkably similar across Group of Seven (G7) countries from 1950 to 1995, although Japan experienced a notably steeper decline than the other countries (Tuljapurkar et al. 2000).
Early reviews of the performance of the Lee-Carter model found that it tended to underestimate life expectancy increases (Lee and Miller 2001;Booth et al. 2006), in part because of the assumption of a fixed age pattern of mortality decline. In reality, mortality decline has been shifting to older ages (Rau et al. 2013). Additionally, the fixed age parameter could result in implausible forecasts at the age-specific level (e.g. crossovers), and there were challenges in forecasting subpopulations coherently or accounting for cohort deviations from the linear trend. This led to a flurry of extensions to the model (Booth et al. 2002;Haberman 2003, 2006;Li and Lee 2005;De Jong and Tickle 2006;Delwarde et al. 2007). Notably, for their projections, the UN adopted an extended model which allowed for both coherence and a rotating age parameter (Li et al. 2013).
In the most recent decade, researchers have moved away from the Lee-Carter method and explored the utility of extrapolating other mortality inputs (Bergeron-Boucher et al. 2019). This has included extrapolating life expectancy trends (Torri and Vaupel 2012;Pascariu et al. 2018) and death density (Bergeron-Boucher et al. 2017;Basellini and Camarda 2019), in the process adopting Mortality patterns over the past 25 years S115 statistical methods such as compositional data analysis and generalized additive models that are well suited for mortality data. There have also been recent developments in forecasting methods specifically designed to account for changes in the age patterns of mortality resulting from HIV/AIDS (Sharrow et al. 2018) and smoking (Wang and Preston 2009;Janssen et al. 2013). The idea here is that such epidemics are both predictable in their cohort incidence and cause non-linearity in period trends. Meanwhile, although the majority of forecasting models were designed for period forecasts, recent advances have homed in on the problem of completing cohort mortality schedules Rizzi et al. 2021).
Overall, the shift in interest towards modelling and forecasting older segments of the population has mirrored population ageing as a whole. Undoubtedly the ageing of the baby boomer cohorts has been one of the major reasons why mortality forecasting is seeing a renaissance and can no longer be considered an unenviable task in demography. Even slight inaccuracies in projecting these large cohorts could be very expensive for public finances.
In short, formal modelling continues to be an active subfield in demography, particularly within mortality circles. One of the unending discussions that keeps resurfacing in demography is the divide between micro and macro levels of analysis, with a fear that traditional macro models are being abandoned in favour of sophisticated individual-level statistical estimation. Far from demography 'abandoning its core', as Lee (2001) feared, this review has demonstrated that formal models continue to play a strong role in mortality analysis.

An overview of how Population Studies has covered mortality
What has been published in Population Studies since the 50th anniversary? Altogether from volume 51, issue 1, in 1997 to volume 74, issue 3, in 2020, there were 117 papers using mortality as the main outcome measure by my counting. In the late 1990s, only one to four papers were published per year on mortality. This has grown to between four and seven over the past five years.
There is no perfect way to categorize studies, but what interested me was to see a rough breakdown of the types of questions addressed by these studies. At the 50th anniversary, Preston (1996) noted that a gradual shift in attention from infant and child mortality towards older-age mortality was underway, aligning with a shift in the age structure of the population in developed countries. Over the past 25 years, this trend has continued and probably accelerated. By my rough calculations, about 10 per cent of all mortality papers since 1996 have focused on infant mortality, with a further 10-15 per cent on child mortality. The remaining papers covered the entire life course or were restricted to adult mortality.
Around 40 per cent of the mortality studies focused on low-and middle-income countries, a little over half used data exclusively from highincome countries, and the rest covered either global mortality estimates or theoretical models that were equally applicable to countries at all levels of development. In low-and middle-income countries, major recurring themes included descriptions of inequalities in mortality patterns, be they socio-economic, sex based, or regional (Gupta 1997;Murphy and Wang 2001;Yount 2001;Saikia et al. 2011), as well as the impact of family composition and family circumstances on own and on children's mortality (Muhuri and Menken 1997;Arnold et al. 1998;Rahman 1999;Saha and van Soest 2011;DeRose et al. 2017;Kravdal 2018).
In comparison to the previous 50 years (Brass 1996;Preston 1996), this most recent 25-year period saw fewer papers on the development of new models to estimate mortality patterns from deficient data. Notable exceptions were two highly influential papers describing new flexible model life table systems (Murray et al. 2003;Wilmoth et al. 2012) currently used by the UN and WHO, respectively. Perhaps surprisingly, no studies in this journal were concerned with the methods and models used to estimate the age patterns of mortality from the HIV/AIDS epidemic, a field of study in which demographers have been deeply involved during the past 25 years. However, Sharrow et al. (2018) developed methods to forecast future mortality patterns in countries with generalized HIV/ AIDS epidemics.
Among studies of high-income countries, recurring themes were remarkably similar to those for low-income settings. A large number of papers set out to understand the impact of reproductive history on mortality (Doblhammer 2000;Dribe 2004;Hurt et al. 2006;Hank 2010;Einiö et al. 2016;Barclay and Myrskylä 2018), or to estimate mortality risks following bereavement (Lusyne et al. 2001) or divorce (Metsä-Simola and Martikainen 2013). Inequalities in mortality by socio-economic status, migration history, and marital status were also well S116 Alyson A. van Raalte represented (Murphy et al. 2007;Martikainen et al. 2009;Luy et al. 2011;Omariba et al. 2014;Bijwaard et al. 2019).
If there was comparatively less work on mortality modelling for less developed countries during this 25-year period than previously, the same cannot be said about modelling mortality patterns in highincome countries. Models were developed and used to gain a deeper understanding of the relationship between period and cohort mortality (Guillot 2003;Goldstein and Wachter 2006;Canudas-Romo and Guillot 2015;Guillot and Payne 2019). Patterns of ageing, broadly defined, were investigated using formal demographic methods (McGlynn et al. 2003;Glei and Horiuchi 2007;Bongaarts 2009;Goldstein and Cassidy 2012;Li and Anderson 2015). New summary measures of mortality were developed and compared across countries, with a particular interest in variability in ages at death (Cheung and Robine 2007;Ebeling et al. 2018;Alvarez et al. 2020). Overall, 15 papers that either used or developed formal demographic models of mortality on aggregate data have been published in Population Studies in the past five years alone.
In the 50th anniversary issue, mortality forecasting did not feature at all in Preston's (1996) review of mortality studies, while Coale and Trussell (1996) touched on mortality forecasts only as an added benefit of using model life tables. By contrast, mortality forecasts and projections have featured prominently in the past 25 years, with at least one paper published annually over the past five years.
Over the same period, around 15 per cent of mortality papers estimated mortality patterns using exclusively historical data. Two major themes emerged from these studies: estimating mortality patterns during extreme events, such as pandemics and genocide (Thornton and Olson 2011;Chandra 2013;Heuveline 2015;Alfani and Bonetti 2019) and examining how mortality patterns shift with urbanization, modernization, and changing political regimes (Notkola et al. 2000;Reher and Sanz-Gimeno 2000;Babiarz et al. 2015;Torres et al. 2019).
To summarize, we can make out a few major recurring themes among papers published in Population Studies over the past 25 years. At the micro level, there has been a keen interest in how events central to an individual's life course-in particular their early-life circumstances, their reproductive history, and the long-term consequences of experiencing adverse events, such as marital dissolution or the death of family members-impact their subsequent survival. Macro-level analyses have focused on how social inequalities translate into survival inequalities over various stages of the life course and how these inequalities are impacted by macroeconomic conditions. The use of formal demographic models has also been well represented, in particular for estimating mortality patterns, enhancing our general understanding of ageing processes, and building better mortality forecasts.
How well do these studies map on to the general field of mortality? Summarizing the general progress of mortality studies requires an eye towards the themes and major findings that are moving the field. In the 50th anniversary issue, Preston (1996, p. 526) argued that since 'nearly half of the most important studies in this field were published in its pages, the journal provides a very convenient vehicle for such a review'. Although Population Studies remains an important outlet for mortality researchers, its field dominance is certainly lower today. Preston's publication record itself could be considered a good representation of publication trends in the field: he published eleven papers in Population Studies between 1970 and 1996, but only three papers since then. This does not reflect lower productivity (quite the opposite, which in itself is an extraordinary feat considering the additional administrative duties he took on as dean of his college). Nor does it signal a new favourite journal, but rather it suggests a strategy of diversification towards a broader mixture that includes public health/epidemiology and general science journals in addition to traditional demographic journals. Although I lack data to back this up, I suspect that this is a general trend within the field, and to ignore mortality research outside Population Studies nowadays would be to ignore key developments in the field-theoretical, empirical, and methodological.

Discussion
The content described in this paper has demonstrated the substantial growth and diversification in both the theoretical and methodological approaches taken within the field of mortality research over the past 25 years.
When first asked to review how the field of mortality has evolved over the past 25 years, my immediate thought was about the enormous technological change since 1996. We couldn't possibly discuss developments in the field without first describing the profound shifts in the way we collect and analyse empirical data. Perhaps, I thought, there has never been another 25-year period where Mortality patterns over the past 25 years S117 studies that are routinely performed today would have been unthinkable 25 years earlier. Then I read the paper by Eileen Crimmins (1993), which came to the same conclusion 28 years ago, describing changes in the field of demography that had taken place over the previous 30 years: Because almost all areas of demography rest on empirical work, changes in demographic analysis over the past 30 years have been related closely to changes in the technology available for information processing; this factor has been largely exogenous, and probably was unpredictable by demographers looking toward the future 30 years ago. I address this topic first because it may have been the necessary condition that allowed many of the other major changes in the field to take place. (Crimmins 1993, p. 579) The advent of the internet and the enormous increases in computational power transformed what was possible in terms of access to research and complex estimation. A detailed overview of the technological developments that have enabled both discovery and explanation of demographic patterns can be found in the accompanying paper by Kashyap (2021). Alongside these technological changes came the digitization and sharing of data. Increasingly we are moving towards open science: open data sets, reproducible results, and code sharing, all of which are healthy developments for the field.
Since 1996 the availability of numerous online harmonized data sets has allowed researchers to compare phenomena across multiple populations, strengthening our evidence base and informing our demographic models. Population registers and alternative administrative data sources have also opened up the possibility of exploring new research questions that were previously underpowered from survey data. These have been exploited to great length in this journal and in the field more generally.
This wealth of data has no doubt been fantastic for testing theories. But it might also have come at a price. With data-rich environments capturing key and not-so-key aspects of the life course, we are increasingly able to answer more detailed questions of less importance. This is not a problem unique to demography but has been remarked on more generally in the social sciences. As we seek answers to hundreds of questions, it becomes easy to be overloaded with less consequential information, losing sight of the broad, more consequential patterns that defined early demographic enquiry.
Moreover, what we are learning about mortality risk is not always being adequately translated into its population-level impacts. For example, excellent studies have emerged showing the impact of divorce, of differences in childbearing, and of extra years of education on individual-level mortality risks. We know that there have been major compositional changes in the population on all of these counts. In a field that venerates Evelyn Kitagawa for instigating a line of scholarship devoted to quantifying the impact of compositional change on demographic rates (Kitagawa 1955), why is it that we so rarely combine estimates of the changes in both mortality risk and population structure to say something about population-level differences in mortality? For example, how much of the pace of life expectancy increase is driven by educational expansion, and how does this differ across time and populations? Which changes in family arrangements (i.e. living arrangements, parity, etc.) have been most important to longevity increases, given the combined impact of mortality risk and shifting family composition? Can some of these major compositional changes tell us why the US and United Kingdom are experiencing recent slowdowns in life expectancy improvement, whereas other European and East Asian populations are experiencing sustained increases?
The primary challenge in aggregating individuallevel effects to the population level is how to account for contextual differences. Kravdal (2004) made this argument in assessing the importance of educational expansion on child mortality levels in India. In the context of educational expansion, there are two important mechanisms that link higher levels of education with lower child mortality. The first is compositional change. The shift to a higher proportion of children born to more highly educated women would lower child mortality overall. The second is the contextual change that may come about from educational expansion. At the community level, having a more highly educated population could be expected to confer benefits even to those who remain at lower levels of education. There are no easy answers here, but this remains an important challenge to consider in the years ahead if we are to keep our eyes on the broader picture.
Increasingly there has also been a move towards understanding the causal processes shaping mortality. This is healthy. But it might also be dangerous if we do not fully grasp the role played by context. For example, few continue to argue against the premise that additional education confers wideranging advantages that are protective against S118 Alyson A. van Raalte mortality. But the question remains of how embedded the effect size of any causal estimate of education's effect on mortality is in the particular population and time period under study. In a special issue of Social Science & Medicine, Montez and Friedman (2015) curated a series of papers seeking to rephrase the question of whether education was causally related to health to an understanding of under what conditions education was causally related to health. This same rephrasing should be used in any hypothesis testing of mortality risks and determinants.
In an ideal world, we would be able to quantify how these causal estimates are operating across time and populations in a comparable way. But many causal techniques rely on unusual and specific events to identify causal relationships. Returning to the example of education and mortality, researchers have often exploited policy changes that increased the years of mandatory schooling to estimate how the extra schooling impacted individuals affected by the policy change compared with those born a few months earlier who were not exposed to the new policy (Lleras-Muney 2005; Lager and Torssander 2012; Gathmann et al. 2015;Andriano and Monden 2019). Such policy changes do not come about at regular intervals and differ in timing across populations, hampering our ability to test whether these relationships are stable across different conditions. Until we can be confident that context is not impacting our causal estimates of risk factors, a healthy dose of scepticism is warranted towards studies that incorporate such risk factors into mortality models, particularly those that extrapolate mortality patterns into a distant future or across widely different contexts. For example, the Global Burden of Disease forecasting methods incorporate relationships between risk factors and health outcomes estimated in epidemiological studies for 79 drivers of health to model and forecast 250 causes of death in 195 countries of the world (Foreman et al. 2018). This assumes that the effect sizes of the risk factors estimated from selected contemporary populations are useful in modelling different future populations. When coupled with a complex modelling strategy, it becomes enormously challenging to unpack the key drivers of the modelled aggregate mortality patterns across populations (Gietel-Basten and Sobotka 2021; Mathers 2020).
The alternative is to return to classic descriptive models-essentially extrapolation methods. Wilmoth's (1998) paper provided 'A demographer's perspective' against criticism that extrapolative forecasts of all-cause mortality are inferior because they ignore the underlying mechanisms of mortality decline. As he put it (p. 395), 'this critique is valid only insofar as such mechanisms are understood with sufficient precision to offer a legitimate alternative method of prediction'. More than 20 years later, many demographers, myself included, continue to share this view. If we are unable to assume confidently that the same causal relationship would apply, had it impacted cohorts born a decade earlier or later, the question remains of whether this line of research will really deepen our understanding of mortality trends and differentials and aid in mortality modelling. Moreover, if effect sizes vary across cohorts and change in unpredictable ways, do these estimates really improve our understanding of aggregate mortality patterns compared with simpler demographic description and modelling? Causal inference is certainly an exciting field that is yielding new insights and hypotheses, with direct policy relevance. The challenge for demographers moving forward will be to understand the opportunities and limitations that these causal estimates can provide for mortality modelling more generally.

Conclusion
In summary, this review has found a field rich in data, methods, and theories that are often looking to address very specific questions or populations. We demographers have been less successful at integrating these theories into our broadest descriptions of mortality change and differentials at the population level. Compared with 25 years ago, are we in any better position to say why Japan's life expectancy is the highest in the world and the US is falling further and further behind? We can offer up a host of competing explanations-mortality selection, health behaviours, healthcare, the built environment, socio-economic inequalities, etc.-but have been less successful in ranking these determinants in terms of their importance. Given the complex interrelationships between these explanations, we may never know. But our disciplinary strength has always been in our careful description of population-level changes. And we shouldn't shy away from developing broad theories that are consistent with contemporary trends, predictive of future mortality patterns, and testable with mortality models.