Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-01T13:26:45.724Z Has data issue: false hasContentIssue false

Grandmother effects over the Finnish demographic transition

Published online by Cambridge University Press:  04 January 2024

Simon N. Chapman*
Affiliation:
INVEST Research Flagship Centre, University of Turku, Finland
Virpi Lummaa
Affiliation:
Department of Biology, University of Turku, Finland
*
Corresponding author: Simon N. Chapman; Email: sinich@utu.fi

Abstract

Demographic transitions are defining events for human societies, marking shifts from natural mortality and fertility rates to the low rates seen in industrialised populations. These transitions can affect trait evolution through altering the direction and strength of selection when variance in fertility and mortality decline. One key feature of human evolution is the evolution of extended post-reproductive life through indirect fitness benefits from grandmothering. Although studies in pre- and post-transition societies have documented beneficial grandmother presence, it remains unknown whether these associations changed before, during, or after the transition. Here, we use genealogical data from eighteenth- to twientieth-century Finland to show grandmother-associated changes of two measures of evolutionary fitness (grandchild survival and birth rate) over the transition. We find that grandmothers had greater opportunity to help as the transition progressed, but their effect on grandchild survival declined alongside general mortality rates, implying that selection on lifespan from grandmothering declined too. Whilst grandmother presence was still associated with reduced birth intervals and hence more grandchildren born post-transition, the nature of this relationship changed greatly. This suggests that although potential for intergenerational interactions increased over the demographic transition, the (hypothesised) evolutionary importance of these interactions declined, which reduced selection for extended post-reproductive lifespan.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

Social media summary: Church registers show that the demographic transition in Finland changed the role of grandmothers

Introduction

Kin selection theory posits that evolutionary fitness can be improved directly via one's own reproduction, or indirectly from helping kin (Hamilton, Reference Hamilton1964). There is extensive empirical evidence in the literature from a wide variety of species, including humans, where kin-associated beneficial outcomes have been found across different societies and in different cultural contexts (Sear & Mace, Reference Sear and Mace2008). One trait proposed to have evolved through such kin interactions is extended post-reproductive lifespan. Extended post-reproductive lifespan is rare in nature, limited to humans and a small selection of toothed whales (Ellis et al., Reference Ellis, Franks, Nattrass, Cant, Bradley, Giles and Croft2018a, Reference Ellis, Franks, Nattrass, Currie, Cant, Giles and Croftb). In these species, the presence of post-reproductive females can increase the fertility of offspring or improve the survival of grandchildren, thereby increasing the evolutionary fitness of long-lived individuals even beyond the point when they can no longer produce their own offspring (menopause). Such indirect fitness benefits from grandmothering (Sear & Mace, Reference Sear and Mace2008; Hawkes et al., Reference Hawkes, O'Connell, Blurton Jones, Alvarez and Charnov1998; Lahdenperä et al., Reference Lahdenperä, Lummaa, Helle, Tremblay and Russell2004; Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019) may have played a key role in the evolution of extended post-reproductive lifespan in these species (Hawkes et al., Reference Hawkes, O'Connell, Blurton Jones, Alvarez and Charnov1998).

However, selection from grandmothering on lifespan in humans has been limited by mortality constraints in the past (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019), with similar patterns of longevity seen across different pre-industrial societies (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019; Gurven & Kaplan, Reference Gurven and Kaplan2007). In contemporary industrialised societies, human lifespan is longer than ever before, attributable to societal changes and medical advances (Oeppen & Vaupel, Reference Oeppen and Vaupel2002). With the alleviation of mortality constraints on older cohorts, a possible limit to the ability of grandmothers to provide help is lifted: selection may be able to act on longevity further, facilitated by modern medicine and society. However, this increasing opportunity for grandmothers to help is countered by the typical consequence of industrialisation: a demographic transition. Demographic transitions are society-defining, involving a large shift from natural mortality and fertility rates to the low rates seen in contemporary industrialised populations (Bongaarts, Reference Bongaarts2009; Riley, Reference Riley2001). A demographic transition can greatly affect the evolution of traits via changing selection pressures from the societal processes that triggered the transition (e.g. alleviation of sources of mortality) and through strength of selection changing with variance in fertility and mortality (Courtiol et al., Reference Courtiol, Rickard, Lummaa, Prentice, Fulford and Stearns2013; Arnold & Wade, Reference Arnold and Wade1984; Scranton et al., Reference Scranton, Lummaa and Stearns2016; Stearns et al., Reference Stearns, Byars, Govindaraju and Ewbank2010; Corbett et al., Reference Corbett, Courtiol, Lummaa, Moorad and Stearns2018) (e.g. mortality outcomes becoming less variable with advances in medicine and hygiene practices). Critically, despite documentation of the benefits of grandmother presence in many pre- and post-transition societies (Sear & Mace, Reference Sear and Mace2008; Sear & Coall Reference Sear and Coall2011), we do not know whether these associations changed during the transition, or much later, after the major fertility and mortality changes had already occurred.

Whilst child mortality had a higher variance and therefore a higher potential strength of selection in the pre-industrial past, the demographic transition reduced this to negligible levels (Scranton et al., Reference Scranton, Lummaa and Stearns2016). The role of grandmothers as vital life-preservers for children (Sear & Mace, Reference Sear and Mace2008) is therefore likely to have diminished rapidly over the demographic transition as the need for survival-boosting help declined. However, even though less often considered (Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021), the grandmother hypothesis is not solely concerned with increasing grandchild survival, but also with increasing the number of grandchildren produced by the middle generation (Hawkes et al., Reference Hawkes, O'Connell, Blurton Jones, Alvarez and Charnov1998). While fertility also decreased during the demographic transition (Bongaarts, Reference Bongaarts2009; Scranton et al., Reference Scranton, Lummaa and Stearns2016), natural selection can continue to operate on humans as long as variance in fitness is still greater than zero (Courtiol et al., Reference Courtiol, Rickard, Lummaa, Prentice, Fulford and Stearns2013; Scranton et al., Reference Scranton, Lummaa and Stearns2016; Stearns et al., Reference Stearns, Byars, Govindaraju and Ewbank2010; Corbett et al., Reference Corbett, Courtiol, Lummaa, Moorad and Stearns2018). Understanding how the demographic transition from high mortality and high fertility to low mortality and low fertility affects the realised benefits of grandmothering, and whether grandmothers retain an evolutionary role in more industrialised societies, is therefore crucial for gaining further insight into the importance of grandmothering as a contributor to the evolution of extended post-reproductive life.

Here, we use genealogical records from eighteenth to twentieth century Finland to establish how the opportunity and need within the grandmother–grandchild relationship changed across and beyond the demographic transition. In Finland, the demographic transition occurred relatively late, starting in the late nineteenth century and lasting into the early twentieth century (Scranton et al., Reference Scranton, Lummaa and Stearns2016). Our data provide a rare opportunity to measure grandmother effects on survival and fertility longitudinally in the same population across the different stages of the demographic transition, in order to understand how modernity transformed selection on the key human life-history trait of extended post-reproductive lifespan.

Methods

Study population

For this study, we used extensive genealogical records from Finland. These records come from two main sources: Lutheran parish registers and published genealogies. The former were collected by Lutheran priests – intensively from 1749 as mandated by law – and cover major events such as births, deaths and marriages. From these, individual life-histories and lineages can be reconstructed.

While registers are available for the entirety of Finland, as required by the Swedish Church Law of 1749, most have not been digitised and linked across different types of records and across generations. As such, our study includes lineages originating in eight parishes across four regions of Finland whose marriage, birth and death records have been digitised and linked from early 1700 until, in some cases, the present day (Southwest Finland: Rymättylä, Hiittinen, Kustavi; Pirkanmaa: Ikaalinen, Tyrvää; Northern Ostrobothnia: Pulkkila; Karelia: Rautu, Jaakkima). Although slight geographic variation exists across the country in birth and death rates, this subset covers different regions of Finland, including those using different farming methods (Moring, Reference Moring1993, Reference Moring1999) and different household compositions (Moring, Reference Moring2003), and with differences in mortality (Moring, Reference Moring1998), and can therefore be considered as broadly representative of the whole population.

Pre-industrial Finland was highly agrarian, with arable cultivation the predominant method (Holopainen & Helama, Reference Holopainen and Helama2009) with slash-and-burn more common in the more heavily forested eastern regions. Households were often large, as the labour requirements for farms often exceeded the capabilities of a basic nuclear family unit (Moring, Reference Moring1993). Despite a heavy reliance on crops (Vihola, Reference Vihola, Häkkinen and Karonen1994), agricultural techniques and innovations were limited (Holopainen & Helama, Reference Holopainen and Helama2009), and localised famines were a recurring threat. Industrialisation began in the 1860s, later than elsewhere in Europe (Hjerppe, Reference Hjerppe1989), and was shortly followed by the onset of the demographic transition in the 1870s (Scranton et al., Reference Scranton, Lummaa and Stearns2016). In this final pre-transition decade, the first railway was opened (1862) (Kotavaara et al., Reference Kotavaara, Antikainen and Rusanen2011). In the years following the onset of the transition, population vital rates continued to improve (Scranton et al., Reference Scranton, Lummaa and Stearns2016), restrictions on the division of land were relaxed and nuclear households increased in frequency (Moring, Reference Moring1993). Mobility increased greatly as time progressed, particularly in post-World War II Finland, where rapid motorisation was accompanied by population shifts to urban areas (Kotavaara et al., Reference Kotavaara, Antikainen and Rusanen2011).

Statistical analysis

We conducted discrete time-event analyses using binomial generalised linear mixed-effect models with a logit link. These were implemented with lme4 version 1.1-23 (Bates et al., Reference Bates, Maechler, Bolker and Walker2015) in R version 4.0.3 (R Core Team 2020). The significance of interactions was evaluated using likelihood ratio tests with the function mixed from the package afex version 0.28-0 (Singmann et al., Reference Singmann, Bolker, Westfall and Aust2017). Significance was assessed at the level of α = 0.05. Based on Scranton et al. (Reference Scranton, Lummaa and Stearns2016), we defined three time periods as: pre-industrial, 1761–1870; transitional, 1871–1910; and post-transition, 1911–1980. We ran all models again with slight alterations to the start and end points of the transitional period to test the robustness of the period selection to slight variation in years (see Table S1 and associated text in the supplementary information). From the consolidation of these checks, we feel that the selected cut-off (1871–1910) is appropriate and does not affect the conclusions.

One limitation of historical register data is that causality is much more challenging to establish – we emphasise that the results shown here are not causal and are instead associations. Factors that may influence helping behaviour such as co-residence or age and frailty of grandmothers were not accounted for in this study owing to limitations of sample sizes over the time period. While these can play some role in the associations between grandmothers and fitness outcomes (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019, 2023; Hacker et al., Reference Hacker, Helgertz, Nelson and Roberts2021; Willführ et al., Reference Willführ, Eriksson and Dribe2022), these specific factors are unlikely to bias the results of the present study, as they mostly affect paternal kin (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019, 2023), particularly co-residence, which was predominantly patrilocal (Chapman et al., Reference Chapman, Danielsbacka, Tanskanen, Lahdenperä, Pettay and Lummaa2023). There may be other unobserved factors that we could not account for, and as such we ask readers to keep this caveat in mind.

Hazard functions

To determine age-specific instantaneous hazard rates of women in the three time periods (pre-industrial, transitional and post-transition), we obtained Kaplan–Meier type hazard estimates using the kphaz function with the Nelson–Aalen estimator from the package muhaz version 1.2.6.4 (Hess & Gentleman, Reference Hess and Gentleman2021). This function accounts for right-censoring. For the pre-industrial hazard function, we included all individuals alive at any point between 1761 and 1870 (n = 19270). Those born in this period but with a last record (either censored or dying) after 1870 were censored at 1870, regardless of actual date of death or censoring. This was done to ensure that hazard rates were not influenced by the introduction of societal improvements that could affect survival after the time period. For the transitional hazard function, we included all of those alive at any point during 1871–1910 (n = 25,993), again censoring those with a last record after 1910 at 1910. For the post-transitional period, we included all those alive from 1911 and born before 1981 (n = 18,852). As such, an individual could be present in all three periods, albeit with different survival times; for example, an individual born in 1860 and dying in1933 would be considered as age 10 (censored) pre-industrially, age 50 (censored) transitionally, and age 73 (died) post-transitionally. For robustness purposes, we ran the models again without censoring at the end of the pre-industrial and transitional periods (Figure S1), but our conclusions did not change. To obtain the cumulative hazard functions, we used the cumsum function on the hazards from the kphaz models.

Grandchild survival

To analyse the effect of grandmothers on survival, we selected individuals born between 1761 and 1980. In Finland, grandmother effects on survival are context-dependent, with beneficial associations with grandchild survival only found for toddlers (ages 2–5) and only if there was a nearby maternal grandmother (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019, 2021; Nenko et al., Reference Nenko, Chapman, Lahdenperä, Pettay and Lummaa2021). As such, we focus only on the effects of maternal grandmothers (n = 4497) on the survival of 2- to 5-year-old grandchildren (n = 27,204) (i.e. the age and lineage combination that has been shown to be beneficial in the pre-industrial era). We additionally ran the models again with paternal rather than maternal grandmothers, in order to check whether they may have exhibited change over time too. In line with our assumption that there would be no grandmother effects present for paternal grandmothers (based on previous work in this population, e.g. Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021), these models did not indicate associations between paternal grandmother presence and the measures of biological fitness, nor did they suggest changes in these (non-)associations over time. As such, these results are not reported in the main text, but can be found in the Supplementary Information.

Geographic distance is important regarding opportunity for grandmothers to be able to help (Engelhardt et al., Reference Engelhardt, Bergeron, Gagnon, Dillon and Pelletier2019). As housing information is unavailable in the digitised records for the majority of individuals in our dataset, geographic distance between grandchild and grandmother was instead proxied on a broad-scale by comparing the birth parish of a grandchild with the last known parish of a grandmother. If a grandmother was coded as ‘alive’ and present in the analysis, she needed to have lived in the same parish as the grandchild or a neighbouring parish. Those grandmothers living further afield were not included, as their inclusion may mask possible associations between grandmother presence and grandchild survival.

The response variable was survival in a given year, coded as a binary 0 for dying in that year and 1 if the focal individual survived. Our main explanatory variable was the interaction of time period (three-level factor: pre-industrial, transitional and post-transition) and maternal grandmother status (two-level factor: no living maternal grandmother and maternal grandmother present) to test whether the association between grandmother presence and child survival changed through time. In a separate model, we used birth cohort (coded as continuous) instead of time period in the interaction, in order to get a finer-scale view of the changes. However, we advise some caution in the interpretation of this latter model: sample sizes in the later cohorts are much lower than in the nineteenth to early twentieth century cohorts, which may affect estimates.

We included age of the child (continuous), mother survival status, number of living siblings under the age of 18, sex, childhood social class (based on the occupation of the father; two-level factor – landed or landless) and twinning status (not a twin or twin) as additional fixed effects to account for their potential association with child survival. Number of living maternal cousins was included to account for dilution of grandmother effects from potentially competing cousins. Mother ID nested within grandmother ID was included as a random effect, to account for shared family at the sibling (mother) and cousin (grandmother) level. Birth cohort (22-level factor) was included as a random effect only in models where the broad ‘time period’ fixed effect was used.

To avoid overfitting models (see Burnham & Anderson, Reference Burnham and Anderson2002), we calculated Akaike information criterion (AIC) values for models sequentially excluding each term. We retained terms in the final model if the AIC value of a model excluding that term was more than two higher than the base model. Sex and childhood social class were not included in the final survival models following this AIC approach. Violin plots were created with vioplot from the vioplot R package version 0.3.7 (Adler & Thomas Kelly, Reference Adler and Thomas Kelly2021).

Fertility analyses

As fertility cannot adequately be described with only a single measure, we separately investigated whether grandmother presence was associated with two components of fertility – age at first birth and inter-birth intervals – and whether any associations changed across the transition.

First, we investigated age at first birth. We included women from age 16 up to their first birth or until age 50 (n = 2119). Women were only included if they were married and had known information on the mother-in-law, to enable us to see the relative influence of mother vs. mother-in-law. Individuals were censored if their first spouse died before they gave birth to their first child, as this would disrupt scheduling and affect their age-specific marriage probabilities.

The response variable was whether the focal individual had their first birth in a given year (0 = no birth, 1 = birth). Our main explanatory variable was a three-way interaction of age with survival status of the mother/mother-in-law (time-varying four-level factor – only mother alive, only mother-in-law alive, both alive, neither alive) and time period (3-level factor – pre-industrial, transition, post-transition). We ran an additional analysis with birthing cohort (decade of reproduction) replacing time period, similar to the survival analysis above, but the conclusions did not differ.

Following Chapman et al. (Reference Chapman, Lahdenperä, Pettay and Lummaa2021), we set fixed effects as a quadratic age term, birth order of the focal individual and number of reproductive sisters, to account for possible dilution of the effect of mothers with more reproductive-aged daughters. Mother ID was entered as a random effect to account for possible shared family effects between siblings. Birthing cohort was not included as a random effect when the interaction contained a time period term, as average age at first birth did not vary across the demographic transition (Chapman et al., Reference Chapman, Pettay, Lahdenperä and Lummaa2018).

The second set of fertility analyses concerned birth spacing. We included only those women who had given birth more than once, with observations starting from the year after the birth of their first child (n = 2047). The response variable was whether the focal individual gave birth in the focal year (1 = birth, 0 = no birth).

Our main explanatory variable was a three-way interaction between time period, survival status of the mother/mother-in-law and time since last birth (time-varying continuous). Time since last birth was preferred to inter-birth interval as it can vary with time and allows retention of individuals in the model after their last birth. Here, we diverged from the modelling structure of Chapman et al. (Reference Chapman, Lahdenperä, Pettay and Lummaa2021), as a four-way interaction (with age) is difficult to both interpret and visualise. All two-way interactions were included. Unlike the other analyses, we did not run an analysis substituting time period for birth(ing) cohort, as we did not have a sufficient spread of data across the cohorts.

We included birth order as a fixed effect. This birth order term was not of the focal individual, but for the child born at the end of the interval (e.g. all years between the birth of the second and third children – including the birth year of the third child – would be given a birth order value of 3), and was included because parity could affect the desire to have more children. After the final birth, additional years up to age 50 were coded as the next value in the birth order sequence (e.g. if last birth was the third child, additional years would have a birth order set as 4). The survival status of a previous child can also influence birth spacing (Sear et al., Reference Sear, Mace and McGregor2003), so we included an interaction of previous child survival (time-varying binary; alive = 1, dead = 0). Observations were not removed if time since last birth exceeded 10 years (see Mace & Alvergne, Reference Mace and Alvergne2012) – instead, they were capped at 10 years to prevent results being biased by possible extreme values (e.g. from those finishing reproduction early) (Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021). In addition, the number of reproductive sisters was added in this analysis too, also to account for possible dilution of effects, e.g. if the mother spreads her investment across all reproductive daughters.

Individual ID was nested within mother ID as a random effect to account for individual characteristics that could influence inter-birth intervals (as each individual could experience multiple events [births]) and to account for possible shared family effects with siblings.

Results

Quantifying the demographics of the grandmother–grandchild relationship is important for getting a broad-scale indication of the upper limits of interactions (Margolis, Reference Margolis2016; Margolis & Wright, Reference Margolis and Wright2017; Leopold & Skopek, Reference Leopold and Skopek2015; Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2017, 2018) and therefore on limits to possible selection. Previous work has established that, on average, grandmothers and grandchildren in this population had less than 10 years of shared time pre-industrially, with a large increase in this time following the demographic transition (Chapman et al., Reference Chapman, Pettay, Lahdenperä and Lummaa2018) – in other words, grandmothers had a greater opportunity to help over time. This is probably due to both higher longevity (Figure 1a and b) and declining childhood mortality (Figure 1c). Figure 1a and b show the hazard of death and cumulative hazard of death for women living in the pre-industrial (1761–1870), transitional (1871–1910) and post-transition (1911 to present) periods. As Finland progressed to modernity, instantaneous hazard rates at young ages declined. Accelerations in hazards with age indicate increasing senescence and a declining force of selection on lifespan – from these figures, we can see that lifespan was expected to be shorter in the pre-industrial period as hazards start to rise at earlier ages than in the other periods. This acceleration occurs later in the post-transition period, suggestive of (slightly) later onset of senescence and therefore increased longevity.

Figure 1. Demographic changes in Finland from 1761 to 1980 in longevity, childhood mortality, and fertility. (a) Hazard functions for survival of women born in pre-industrial (dark grey), transitional (medium grey), and post-transition (light grey) periods. On the left side of the figure, it can be seen that early-life hazard of death became lower. At older ages, the hazards increased greatly in all time periods, but started rising earliest in the pre-industrial period and latest in the post-transitional period (see also Figure S1). (b) Cumulative hazard functions for survival of women in pre-industrial (dark grey), transitional (medium grey), and post-transition (light grey) periods. Risk of death accumulated fastest in the pre-industrial period – we would expect that a woman living in this period would die earlier than in the other periods. (c) Decennial early childhood mortality rates. Following the onset of the transition, mortality rates decline continuously to negligible levels by the later twentieth century. (d) Mean number of children by birthing cohort (95% confidence intervals shown with the shaded area). Over the pre-industrial period, family sizes were larger, with over five children on average. During the transition, average family sizes declined, and continued to do so to the end of the study period. Horizontal lines in each part of (d) are the mean and 95% confidence intervals of number of children per family across each period. Dashed lines in (c) and (d) demarcate the beginning and end of the transition (1871–1910).

Declining importance of grandmothers for grandchild survival

For the grandmother hypothesis, child mortality rates are one of the most important indicators of need. In the pre-industrial period, the child mortality rate was typically high, and in Finland 30.2% of the population died before the age of five during 1761–1870 (Figure 1c). Although there was considerable variation in mortality between birth cohorts, all had under-five mortality rates of over 20%. The mortality in the transitional period (1871–1910) was almost a third lower, at 19.3%, and there was a continuous decline in mortality rate with each passing decade. Post-transition (1911–1980), pre-five childhood mortality was at 6.6%, though again there was a continual decrease to the point that less than 1% of children died before the age of five in the 1960s and 1970s, and the majority of these deaths occurring in early infancy. Hence, the need for kin help to ensure child survival seemingly collapsed over the transition.

The association between grandmother presence and the fitness outcomes of grandchild survival similarly changed over the transition (time period interaction: χ 22 = 9.69, p = 0.010; Figure 2a). While survival outcomes for grandchildren were higher pre-industrially when their maternal grandmother was present (β = 0.514 ± 0.209, p = 0.014), this association was no longer present in the transition period (β = 0.308 ± 0.209, p = 0.141; but see Supplementary Information), and was absent again post-transition (β = −0.228 ± 0.200, p = 0.254). The birth cohort interaction with maternal grandmother presence was significant (χ 12 = 4.27, p = 0.041; see Methods for caveats), Figure 2b shows a trend of grandchild survival being higher with a maternal grandmother present (cf. dead) across the pre-industrial and early transitional cohorts, before converging by the turn of the twentieth century, resulting in little to no difference in survival by maternal grandmother presence. We note that due to a low number of events in the post-transitional period (i.e. very few deaths of young children), the missing effect of grandmothers in this period could, in part, be driven by sample size and that an effect of some kind may still be present. In this particular case, however, the number of deaths is itself informative of the decreasing childhood mortality and declining need for grandmother's help for grandchild survival.

Figure 2. Violin plots of model-predicted survival probabilities for grandchildren by maternal grandmother presence and birth cohort. Vertical dashed lines at 1870s and 1910s demarcate the beginning and end of the demographic transition. Points show the median predicted survival values, and shaded areas show the density distribution of these survival values. Dark grey represents survival values when the maternal grandmother was present, light grey when she was dead. Bandwidths were set as 0.003. (a) Violin plots by time period and grandmother presence. (b) Violin plots by grandchild birth cohort and grandmother presence. Smoothing splines fitted from model predictions using smooth.spline function with 8 degrees of freedom, with a solid black line for maternal grandmother present and dashed black line for maternal grandmother deceased. Together, these panels show there was an association between grandmother presence and grandchild survival in the pre-industrial period, but that this association declined over the transition as baseline survival increased. By the end of the demographic transition, maternal grandmothers were no longer associated with improved survival of toddlers. See also Table S2.

Changes in the associations of grandmothers with offspring fertility

Concomitantly with the mortality decline, fertility also declined (Figure 1d), reducing from an average family size of 5.53 ± 3.65 (mean ± standard deviation) children in the 1760s to 2.15 ± 1.11 children by the 1970s. At the start and end of the demographic transition, the average number of children changed from 5.38 ± 3.06 (1870s) to 3.50 ± 2.60 (1900s). Importantly for natural selection, the variance in fertility between Finnish women greatly increased during the period (Scranton et al., Reference Scranton, Lummaa and Stearns2016), opening opportunities for grandmothers to improve their post-reproductive fitness through boosting offspring fertility. Here, we used generalised linear mixed-effect models to assess whether the demographic transition changed the association of (grand)mothers with beneficial outcomes to fertility traits.

Age at first birth did not significantly differ by mother/mother-in-law presence even in the pre-industrial era (see also Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021), and there was no significant change in the age-specific probabilities of first birth across the demographic transition with mother/mother-in-law presence either (time period interaction: χ 62 = 3.68, p = 0.720; birthing cohort interaction: χ 32 = 1.07, p = 0.783; Table S3).

Birth spacing is known to have been associated with mother/mother-in-law presence in the pre-industrial era in Finland (Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021). Here, we found that though this association changed over time (time period interaction: χ 62 = 14.09, p = 0.029), birth spacing remains associated with both mother/mother-in-law presence at the same time (Figure 3; Table S3). Across all periods, having both mother and mother-in-law alive was associated with the highest probabilities of birth, although only mothers or only mothers-in-law had no significant effect.

Figure 3. Model-predicted probabilities of subsequent reproduction by mother presence, time since last birth, and time period. (a) Pre-industrial era, (b) transitional period, (c) post-transition period. Line colour and type indicate mother/mother-in-law combination: solid grey = both alive; dashed grey = both dead; solid black = mother only; dashed black = mother-in-law only. Mother and mother-in-law presence associated with higher probabilities of reproduction (i.e. shorter birth intervals) when both were alive. Smoothing splines fitted from model predictions using smooth.splines function, with 5 degrees of freedom. See also Table S3.

Discussion

The demographic transition in Finland brought about large changes in mortality and fertility. As expected, female hazard of death pre-industrially was higher in infancy than during or after the transition, indicative of increased childhood mortality. Similarly expected was the increase in lifespan during and especially after the transition (Oeppen & Vaupel, Reference Oeppen and Vaupel2002; Bongaarts, Reference Bongaarts2009; Burger et al., Reference Burger, Baudisch and Vaupel2012), indicated by a later acceleration in instantaneous hazard rates. Accumulation of risk was such we would expect a woman living in the pre-industrial period to have died by age 62, compared with age 73 in the transitional period and age 80 in the post-transition period. To put it more simply, lifespan increased over and beyond the transition and therefore grandmothering could potentially have continued for longer. There was, therefore, greater opportunity for grandmothers to aid their grandchildren. However, as childhood mortality decreased over and beyond the demographic transition, the need for this kind of grandmother help also declined. Indeed, we found that the beneficial effect of maternal grandmothers on grandchild survival seen pre-industrially was no longer found over the transition or post-transitionally. One possible mechanism could be the role of grandmothers in reducing mortality to diseases that were, pre-industrially, deadly to young children, e.g. smallpox, various pulmonary issues and diarrhoeal infections (Ukonaho et al., Reference Ukonaho, Chapman, Briga and Lummaa2023), but with improved hygiene and medical care were no longer major causes of mortality in the twentieth century. As such, grandmother help would not be observed in survival outcomes.

There were no effects of mother/mother-in-law presence on age at first birth before, during and after the demographic transition. This is probably due to the cultural importance of marriage and the marriage practices of Finland. Marriage could almost be considered a pre-requisite to reproduction (Pettay et al., Reference Pettay, Chapman, Lahdenperä and Lummaa2020), and age at marriage remained fairly stable, at least in the pre-industrial period (Moring, Reference Moring1996). However, the other aspect of fertility studied here, birth spacing, was influenced by the presence of the elder generation. Mother-in-law influence on fertility is not uncommon in other societies (Sear et al., Reference Sear, Mace and McGregor2003; Tymicki, Reference Tymicki2004; Tanskanen et al., Reference Tanskanen, Jokela, Danielsbacka and Rotkirch2014), even in the absence of any beneficial effect of paternal grandmothers on grandchild survival (Sear et al., Reference Sear, Steele, McGregor and Mace2002), and this appears to be the case in Finland too. While the presence of both mother and mother-in-law associated with higher probabilities of subsequent birth before, during and after the transition, the presence of mother or mother-in-law alone was not significantly associated with higher subsequent birth probabilities. Therefore, although grandmother presence does seem to still be linked to reduced birth spacing among daughters and sons and therefore potential for more grandchildren, the nature of family networks and the effects thereof changed too.

Although the Finnish demographic transition is fairly typical in the pattern of mortality and fertility change (Scranton et al., Reference Scranton, Lummaa and Stearns2016), we urge caution in generalising the results here to changing effects of grandmother presence across demographic transitions in other societies. Benefits associated with grandmothering are not entirely consistent across societies (Sear & Mace, Reference Sear and Mace2008; Sear & Coall, Reference Sear and Coall2011), and can depend on various contexts, e.g. lineage (maternal or paternal) (Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021; Sear et al., Reference Sear, Steele, McGregor and Mace2002; Jamison et al., Reference Jamison, Cornell, Jamison and Nakazato2002; Sheppard & Sear, Reference Sheppard and Sear2016), sex (Fox et al., Reference Fox, Sear, Beise, Ragsdale, Voland and Knapp2010; Tanskanen et al., Reference Tanskanen, Rotkirch and Danielsbacka2011; Tanskanen & Danielsbacka, Reference Tanskanen and Danielsbacka2021), age (Chapman et al., Reference Chapman, Pettay, Lummaa and Lahdenperä2019), distance (Engelhardt et al., Reference Engelhardt, Bergeron, Gagnon, Dillon and Pelletier2019), birth status (Nenko et al., Reference Nenko, Chapman, Lahdenperä, Pettay and Lummaa2021), co-residence (Hacker et al., Reference Hacker, Helgertz, Nelson and Roberts2021; Willführ et al., Reference Willführ, Eriksson and Dribe2022; Chapman et al., Reference Chapman, Danielsbacka, Tanskanen, Lahdenperä, Pettay and Lummaa2023), and perhaps most importantly, differences in culture (Chapman et al., Reference Chapman, Lahdenperä, Pettay and Lummaa2021; Coall & Hertwig, Reference Coall and Hertwig2010). As such, the exact patterns of change over demographic transitions may vary between societies, and we urge replication in other suitable populations (i.e. post-transitional with available historical records). However, it is almost certainly the case that, in a broad sense, opportunity for grandmother help increased – as demographic transitions have decreased childhood mortality and lifespans have increased (Riley, Reference Riley2001) – and the need for fitness-related help declined for much the same reason. This is not to say that grandmother help ceased or even simply declined, just that the nature of the help provided no longer affected grandchild survival outcomes. For example, monetary transfers or supplemental childcare from grandmothers can be greatly beneficial to families without having or needing observable evolutionary outcomes.

We have shown that grandmothers had greater opportunity to help as the transition progressed, but that their effect on grandchild survival declined as general mortality rates declined, implying that selection on lifespan from grandmothers’ child mortality-reducing behaviours declined too. Although grandmother presence was still linked to reduction in birth intervals post-transition, the nature of this relationship changed greatly. These changes suggest that though the demographic transition increased the potential for interactions between generations, it was also associated with a decline in the (hypothesised) evolutionary importance of these particular interactions. Selection from other aspects of grandmothering can still persist, especially in regards to reproductive success, so this does not mean grandmothering has been decoupled from evolutionary selection on lifespan. These results add to the increasing body of evidence showing how the transition to modernity has altered the direction and intensity of natural selection acting on many traits (Courtiol et al., Reference Courtiol, Rickard, Lummaa, Prentice, Fulford and Stearns2013; Scranton et al., Reference Scranton, Lummaa and Stearns2016; Stearns et al., Reference Stearns, Byars, Govindaraju and Ewbank2010), with important implications for public and global health (Corbett et al., Reference Corbett, Courtiol, Lummaa, Moorad and Stearns2018). Current demographic pressures – including decreasing fertility, increasing life expectancy and increased migration and urbanisation – are further altering the structure and dynamics of our family structures and social networks. Understanding the role of changing social networks in determining the timing and number of children, intergenerational relations, and active ageing is therefore of key importance for developing better social and health policies for the twenty-first century.

Supplementary material

To view supplementary material for this article, please visit https://doi.org/10.1017/ehs.2023.36

Acknowledgements

We thank all the genealogists involved with collating and digitising parish records for this study, particularly Kimmo Pokkinen. This research was supported by the INVEST Research Flagship, the NetResilience consortium, and the PREDLIFE project. We also thank Slavomíra Jusková for her involvement with an earlier iteration of this project.

Author contributions

Both authors were involved in conception of the project. SNC did the statistical analysis with input from VL, and wrote the first draft. Both authors were involved in interpretation of results and revising the manuscript.

Financial support

This work was funded by the Academy of Finland (Flagship Programme 320162, Strategic Research Council 345185 and 345183, and grant 331816).

Conflicts of interest

The authors declare no competing interests.

Research transparency

Data and code used in this work are available as supplementary material.

References

Adler, D., & Thomas Kelly, S. (2021) vioplot: Violin plot. https://cran.r-project.org/package=vioplotGoogle Scholar
Arnold, S. J., & Wade, M. J. (1984) On the measurement of natural and sexual selection: Applications. Evolution, 38(4), 720734. doi: 10.2307/2408384CrossRefGoogle ScholarPubMed
Bates, D., Maechler, M., Bolker, B., & Walker, S. (2015) lme4: Linear mixed-effects models using Eigen and S4. https://cran.r-project.org/package=lme4Google Scholar
Bongaarts, J. (2009) Human population growth and the demographic transition. Philosophical Transactions of the Royal Society B, 364, 29852990. doi: 10.1098/rstb.2009.0137CrossRefGoogle ScholarPubMed
Burger, O., Baudisch, A., & Vaupel, J. W. (2012) Human mortality improvement in evolutionary context. PNAS, 109(44), 1821018214. doi: 10.1073/pnas.1215627109CrossRefGoogle ScholarPubMed
Burnham, K. P., & Anderson, D. R. (2002) Model selection and multimodel inference. Springer.Google Scholar
Chapman, S. N., Lahdenperä, M., Pettay, J. E., & Lummaa, V. (2017) Changes in length of grandparenthood in Finland 1790–1959. Finnish Yearbook of Population Research, 52, 3–13. doi: 10.23979/fypr.65346CrossRefGoogle Scholar
Chapman, S. N., Pettay, J. E., Lahdenperä, M., & Lummaa, V. (2018) Grandmotherhood across the demographic transition. PLoS One, 13(7), e0200963. doi: 10.1371/journal.pone.0200963CrossRefGoogle ScholarPubMed
Chapman, S. N., Pettay, J. E., Lummaa, V., & Lahdenperä, M (2019) Limits to fitness benefits of prolonged post-reproductive lifespan in women. Current Biology, 29(4), 645650. doi: 10.1016/j.cub.2018.12.052CrossRefGoogle ScholarPubMed
Chapman, S. N., Lahdenperä, M., Pettay, J. E., & Lummaa, V. (2021) Offspring fertility and grandchild survival enhanced by maternal grandmothers in a pre-industrial human society. Scientific Reports, 11, 3652. doi: 10.1038/s41598-021-83353-3CrossRefGoogle Scholar
Chapman, S., Danielsbacka, M., Tanskanen, A. O., Lahdenperä, M., Pettay, J., & Lummaa, V. (2023) Grandparental co-residence and grandchild survival: The role of resource competition in a pre-industrial population. Behavioral Ecology, 34(3), 446456. doi: 10.1093/beheco/arad013CrossRefGoogle Scholar
Coall, D. A., & Hertwig, R. (2010) Grandparental investment: Past, present, and future. Behavioral Brain Sciences, 33, 159. doi: 10.1017/S0140525X09991105CrossRefGoogle ScholarPubMed
Corbett, S., Courtiol, A., Lummaa, V., Moorad, J., & Stearns, S. (2018) The transition to modernity and chronic disease: mismatch and natural selection. Nature Reviews Genetics, 19(7), 419430. doi: 10.1038/s41576-018-0012-3CrossRefGoogle ScholarPubMed
Courtiol, A., Rickard, I., Lummaa, V., Prentice, A. M., Fulford, A. J. C., & Stearns, S. C. (2013) The demographic transition influences variance in fitness and selection on height and BMI in rural Gambia. Current Biology, 23(10), 884889. doi: 10.1016/j.cub.2013.04.006CrossRefGoogle ScholarPubMed
Ellis, S., Franks, D. W., Nattrass, S., Cant, M. A., Bradley, D. L., Giles, D., …, Croft, D. P. (2018a) Postreproductive lifespans are rare in mammals. Ecology and Evolution, 8(5), 24822494. doi: 10.1002/ece3.3856CrossRefGoogle ScholarPubMed
Ellis, S., Franks, D. W., Nattrass, S., Currie, T. E., Cant, M. A., Giles, D., …, Croft, D. P. (2018b) Analyses of ovarian activity reveal repeated evolution of post-reproductive lifespans in toothed whales. Scientific Reports, 8, 12833. doi: 10.1038/s41598-018-31047-8CrossRefGoogle ScholarPubMed
Engelhardt, S. C., Bergeron, P., Gagnon, A., Dillon, L., & Pelletier, F. (2019) Using geographic distance as a potential proxy for help in the assessment of the grandmother hypothesis. Current Biology, 29(4), 651656. doi: 10.1016/j.cub.2019.01.027CrossRefGoogle ScholarPubMed
Fox, M., Sear, R., Beise, J., Ragsdale, G., Voland, E., & Knapp, L. A. (2010) Grandma plays favourites: X-chromosome relatedness and sex-specific childhood mortality. Proceedings of the Royal Society B, 277, 567573. doi: 10.1098/rspb.2009.1660CrossRefGoogle ScholarPubMed
Gurven, M., & Kaplan, H. (2007) Longevity among hunter–gatherers: A cross-cultural examination. Population and Development Review, 33(2), 321365. doi: 10.1111/j.1728-4457.2007.00171.xCrossRefGoogle Scholar
Hacker, J. D., Helgertz, J., Nelson, M. A., & Roberts, E. (2021) The influence of kin proximity on the reproductive success of American couples, 1900–1910. Demography, 58(6), 23372364. doi: 10.1215/00703370-9518532CrossRefGoogle ScholarPubMed
Hamilton, W. D. (1964) The genetical evolution of social behaviour. I. Journal of Theoretical Biology, 7, 116. doi: 10.1016/0022-5193(64)90038-4CrossRefGoogle ScholarPubMed
Hawkes, K., O'Connell, J. F., Blurton Jones, N. G., Alvarez, H., & Charnov, E. L. (1998) Grandmothering, menopause, and the evolution of human life histories. PNAS, 95, 13361339. doi: 10.1073/pnas.95.3.1336CrossRefGoogle ScholarPubMed
Hess, K., & Gentleman, R. (2021) muhaz: Hazard function estimation in survival analysis. https://cran.r-project.org/package=muhazGoogle Scholar
Hjerppe, R. (1989) The Finnish economy 1860–1985. Bank of Finland Publications.Google Scholar
Holopainen, J., & Helama, S. (2009) Little ice age farming in Finland: Preindustrial agriculture on the edge of the grim reaper's scythe. Human Ecology, 37, 213225. doi: 10.1007/s10745-009-9225-6CrossRefGoogle Scholar
Jamison, C. S., Cornell, L. L., Jamison, P. L., & Nakazato, H. (2002) Are all grandmothers equal? A review and a preliminary test of the ‘grandmother hypothesis’ in Tokugawa Japan. American Journal of Physical Anthropology, 119, 6776. doi: 10.1002/ajpa.10070CrossRefGoogle Scholar
Kotavaara, O., Antikainen, H., & Rusanen, J. (2011) Urbanization and transportation in Finland, 1880–1970. Journal of Interdisciplinary History, 42(1), 89109. doi: 10.1162/JINH_a_00206CrossRefGoogle Scholar
Lahdenperä, M., Lummaa, V., Helle, S., Tremblay, M., & Russell, A. F. (2004) Fitness benefits of prolonged post-reproductive lifespan in women. Nature, 428, 178181. doi: 10.1038/nature02367CrossRefGoogle ScholarPubMed
Leopold, T., & Skopek, J. (2015) The delay of grandparenthood: A cohort comparison in East and West Germany. Journal of Marriage and Family, 77(2), 441460. doi: 10.1111/jomf.12169CrossRefGoogle Scholar
Mace, R., & Alvergne, A. (2012) Female reproductive competition within families in rural Gambia. Proceedings of the Royal Society B, 279, 22192227. doi: 10.1098/rspb.2011.2424CrossRefGoogle ScholarPubMed
Margolis, R. (2016) The changing demography of grandparenthood. Journal of Marriage and Family, 78(3), 610622. doi: 10.1111/jomf.12286CrossRefGoogle Scholar
Margolis, R., & Wright, L. (2017) Healthy grandparenthood: how long is it, and how has it changed? Demography, 54, 20732099. doi: 10.1007/s13524-017-0620-0CrossRefGoogle Scholar
Moring, B. (1993) Household and family in Finnish coastal societies 1635–1895. Journal of Family History, 18(4), 395413. doi: 10.1177/036319909301800407CrossRefGoogle Scholar
Moring, B. (1996) Marriage and social change in south-western Finland, 1700–1870. Continuity and Change, 11(1), 91113. doi: 10.1017/S0268416000003106CrossRefGoogle Scholar
Moring, B. (1998) Motherhood, milk, and money. Infant mortality in pre-industrial Finland. Social History of Medicine, 11(2), 177196. doi: 10.1093/shm/11.2.177CrossRefGoogle ScholarPubMed
Moring, B. (1999) Land, labor, and love: Household arrangements in nineteenth century eastern Finland – cultural heritage or socio-economic structure? The History of the Family, 4(2), 159184. doi: 10.1016/S1081-602X(99)00012-3CrossRefGoogle ScholarPubMed
Moring, B. (2003) Nordic family patterns and the north-west European household system. Continuity and Change, 18(1), 77109. doi: 10.1017/S0268416003004508CrossRefGoogle Scholar
Nenko, I., Chapman, S. N., Lahdenperä, M., Pettay, J. E., & Lummaa, V. (2021) Will granny save me? Birth status, survival, and the role of grandmothers in historical Finland. Evolution and Human Behavior, 42(3), 239246. doi: 10.1016/j.evolhumbehav.2020.11.002CrossRefGoogle Scholar
Oeppen, J., & Vaupel, J. W. (2002) Broken limits to life expectancy. Science, 296, 10291031. doi: 10.1126/science.1069675CrossRefGoogle ScholarPubMed
Pettay, J. E., Chapman, S. N., Lahdenperä, M., & Lummaa, V. (2020) Family dynamics and age-related patterns in marriage probability. Evolution and Human Behavior, 41, 3543. doi: 10.1016/j.evolhumbehav.2019.09.001CrossRefGoogle Scholar
R Core Team (2020) R: A language and environment for statistical computing. http://www.r-project.org/Google Scholar
Riley, J. C. (2001) Rising life expectancy: A global history (Cambridge University Press).CrossRefGoogle Scholar
Scranton, K., Lummaa, V., & Stearns, S. C. (2016) The importance of the timescale of the fitness metric for estimates of selection on phenotypic traits during a period of demographic change. Ecology Letters, 19, 854861. doi: 10.1111/ele.12619CrossRefGoogle ScholarPubMed
Sear, R., & Coall, D. (2011) How much does family matter? Cooperative breeding and the demographic transition. Population and Development Review, 37, 81112. doi: 10.1111/j.1728-4457.2011.00379.xCrossRefGoogle ScholarPubMed
Sear, R., & Mace, R. (2008) Who keeps children alive? A review of the effects of kin on child survival. Evolution and Human Behavior, 29, 118. doi: 10.1016/j.evolhumbehav.2007.10.001CrossRefGoogle Scholar
Sear, R., Mace, R., & McGregor, I. A. (2003) The effects of kin on female fertility in rural Gambia. Evolution and Human Behavior, 24, 2542. doi: 10.1016/S1090-5138(02)00105-8CrossRefGoogle Scholar
Sear, R., Steele, F., McGregor, I. A., & Mace, R. (2002) The effects of kin on child mortality in rural Gambia. Demography, 39, 4363. doi: 10.1353/dem.2002.0010CrossRefGoogle Scholar
Sheppard, P., & Sear, R. (2016) Do grandparents compete with or support their grandchildren? In Guetemala, paternal grandmothers may compete, and maternal grandmothers may cooperate. Royal Society Open Science, 3, 160069. doi: 10.1098/rsos.160069CrossRefGoogle ScholarPubMed
Singmann, H., Bolker, B., Westfall, J., & Aust, F. (2017) afex: Analysis of factorial experiments. https://cran.r-project.org/package=afexGoogle Scholar
Stearns, S. C., Byars, S. G., Govindaraju, D. R., & Ewbank, D. (2010) Measuring selection in contemporary human populations. Nature Reviews Genetics, 11(9), 611622. doi: 10.1038/nrg2831CrossRefGoogle ScholarPubMed
Tanskanen, A., & Danielsbacka, M. (2021). Grandmaternal investment and early childhood injury: The role of X-chromosomal relatedness. Journal of Biosocial Science, 53, 968971. doi: 10.1017/S0021932020000711CrossRefGoogle ScholarPubMed
Tanskanen, A. O., Jokela, M., Danielsbacka, M., & Rotkirch, A. (2014) Grandparental effects on fertility vary by lineage in the United Kingdom. Human Nature, 25, 269284. doi: 10.1007/s12110-014-9200-9CrossRefGoogle ScholarPubMed
Tanskanen, A. O., Rotkirch, A., & Danielsbacka, M. (2011) Do grandparents favor granddaughters? Biased grandparental investment in UK. Evolution and Human Behavior, 32, 407415. doi: 10.1016/j.evolhumbehav.2011.02.001CrossRefGoogle Scholar
Tymicki, K. (2004) Kin influence on female reproductive behaviour: The evidence from reconstitution of the Bejsce parish registers, 18th to 20th centuries, Poland. American Journal of Human Biology, 16(5), 508522. doi: 10.1002/ajhb.20059CrossRefGoogle ScholarPubMed
Ukonaho, S., Chapman, S. N., Briga, M., & Lummaa, V. (2023) Grandmother presence improved grandchild survival against childhood infection but not vaccination coverage in historical Finns. Proceedings of the Royal Society B, 290, 20230690. doi: 10.1098/rspb.2023.0690CrossRefGoogle Scholar
Vihola, T. (1994) Mitä ihminen tarvitsi elääkseen. In Häkkinen, A. and Karonen, P. (Eds.), Pane leipään puolet petäjäistä: Nälkä ja pulavuodet Suomen historiassa. Jyväskylän yliopisto (pp. 8392).Google Scholar
Willführ, K. P., Eriksson, B., & Dribe, M. (2022) The impact of kin proximity on net marital fertility and maternal survival in Sweden 1900–1910 – Evidence for cooperative breeding in a societal context of nuclear families, or just contextual correlations? American Journal of Human Biology, 34(2), e23609. doi: 10.1002/ajhb.23609Google ScholarPubMed
Figure 0

Figure 1. Demographic changes in Finland from 1761 to 1980 in longevity, childhood mortality, and fertility. (a) Hazard functions for survival of women born in pre-industrial (dark grey), transitional (medium grey), and post-transition (light grey) periods. On the left side of the figure, it can be seen that early-life hazard of death became lower. At older ages, the hazards increased greatly in all time periods, but started rising earliest in the pre-industrial period and latest in the post-transitional period (see also Figure S1). (b) Cumulative hazard functions for survival of women in pre-industrial (dark grey), transitional (medium grey), and post-transition (light grey) periods. Risk of death accumulated fastest in the pre-industrial period – we would expect that a woman living in this period would die earlier than in the other periods. (c) Decennial early childhood mortality rates. Following the onset of the transition, mortality rates decline continuously to negligible levels by the later twentieth century. (d) Mean number of children by birthing cohort (95% confidence intervals shown with the shaded area). Over the pre-industrial period, family sizes were larger, with over five children on average. During the transition, average family sizes declined, and continued to do so to the end of the study period. Horizontal lines in each part of (d) are the mean and 95% confidence intervals of number of children per family across each period. Dashed lines in (c) and (d) demarcate the beginning and end of the transition (1871–1910).

Figure 1

Figure 2. Violin plots of model-predicted survival probabilities for grandchildren by maternal grandmother presence and birth cohort. Vertical dashed lines at 1870s and 1910s demarcate the beginning and end of the demographic transition. Points show the median predicted survival values, and shaded areas show the density distribution of these survival values. Dark grey represents survival values when the maternal grandmother was present, light grey when she was dead. Bandwidths were set as 0.003. (a) Violin plots by time period and grandmother presence. (b) Violin plots by grandchild birth cohort and grandmother presence. Smoothing splines fitted from model predictions using smooth.spline function with 8 degrees of freedom, with a solid black line for maternal grandmother present and dashed black line for maternal grandmother deceased. Together, these panels show there was an association between grandmother presence and grandchild survival in the pre-industrial period, but that this association declined over the transition as baseline survival increased. By the end of the demographic transition, maternal grandmothers were no longer associated with improved survival of toddlers. See also Table S2.

Figure 2

Figure 3. Model-predicted probabilities of subsequent reproduction by mother presence, time since last birth, and time period. (a) Pre-industrial era, (b) transitional period, (c) post-transition period. Line colour and type indicate mother/mother-in-law combination: solid grey = both alive; dashed grey = both dead; solid black = mother only; dashed black = mother-in-law only. Mother and mother-in-law presence associated with higher probabilities of reproduction (i.e. shorter birth intervals) when both were alive. Smoothing splines fitted from model predictions using smooth.splines function, with 5 degrees of freedom. See also Table S3.

Supplementary material: File

Chapman and Lummaa supplementary material 1

Chapman and Lummaa supplementary material
Download Chapman and Lummaa supplementary material 1(File)
File 796.2 KB
Supplementary material: File

Chapman and Lummaa supplementary material 2

Chapman and Lummaa supplementary material
Download Chapman and Lummaa supplementary material 2(File)
File 92.2 KB
Supplementary material: File

Chapman and Lummaa supplementary material 3

Chapman and Lummaa supplementary material
Download Chapman and Lummaa supplementary material 3(File)
File 2.4 KB