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Population Studies
A Journal of Demography
Volume 77, 2023 - Issue 1
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Research Article

A distributional approach to measuring lifespan stratification

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Pages 15-33 | Received 01 Mar 2021, Accepted 01 Nov 2021, Published online: 10 May 2022

References

  • Aburto, José Manuel, and Alyson van Raalte. 2018. Lifespan dispersion in times of life expectancy fluctuation: The case of Central and Eastern Europe, Demography 55(6): 2071–2096. https://doi.org/10.1007/s13524-018-0729-9
  • Aburto, José Manuel, Francisco Villavicencio, Ugofilippo Basellini, Søren Kjærgaard, and James W. Vaupel. 2020. Dynamics of life expectancy and life span equality, Proceedings of the National Academy of Sciences 117(10): 5250–5259. https://doi.org/10.1073/pnas.1915884117
  • Allanson, Paul. 2014. Income stratification and between-group inequality, Economics Letters 124(2): 227–230. https://doi.org/10.1016/j.econlet.2014.05.025
  • Alvarez, Jesús-Adrián, Malene Kallestrup-Lamb, and Søren Kjærgaard. 2021. Linking retirement age to life expectancy does not lessen the demographic implications of unequal lifespans, Insurance: Mathematics and Economics 99: 363–375. https://doi.org/10.1016/j.insmatheco.2021.04.010
  • Antonovsky, Aaron. 1967. Social class, life expectancy and overall mortality, The Milbank Memorial Fund Quarterly 45(2): 31–73. https://doi.org/10.2307/3348839
  • Bergeron-Boucher, Marie-Pier, Jesús-Adrián Alvarez, Ilya Kashnitsky, Virginia Zarulli, and James W. Vaupel. 2020. Not all females outlive all males: A new perspective on lifespan inequalities between sexes, SocArXiv. October, 20.
  • Berkman, Lisa F. 1995. The role of social relations in health promotion, Psychosomatic Medicine 57(3): 245–254. https://doi.org/10.1097/00006842-199505000-00006
  • Brønnum-Hansen, Henrik. 2017. Socially disparate trends in lifespan variation: A trend study on income and mortality based on nationwide Danish register data, BMJ Open 7(5): e014489. http://dx.doi.org/10.1136/bmjopen-2016-014489
  • Brønnum-Hansen, Henrik, and Mikkel Baadsgaard. 2012. Widening social inequality in life expectancy in Denmark. A register-based study on social composition and mortality trends for the Danish population, BMC Public Health 12(1): 994. https://doi.org/10.1186/1471-2458-12-994
  • Brouard, Nicolas. 1986. Structure et dynamique des populations. La pyramide des années à vivre, aspects nationaux et exemples régionaux [Structure and dynamics of populations. The pyramid of years to live, national aspects and regional examples], Espace Populations Sociétés 4(2): 157–168. https://doi.org/10.3406/espos.1986.1120
  • Brown, Dustin C., Mark D. Hayward, Jennifer Karas Montez, Robert A. Hummer, Chi-Tsun Chiu, and Mira M. Hidajat. 2012. The significance of education for mortality compression in the United States, Demography 49(3): 819–840. https://doi.org/10.1007/s13524-012-0104-1
  • Canudas-Romo, Vladimir. 2008. The modal age at death and the shifting mortality hypothesis, Demographic Research 19: 1179–1204. https://doi.org/10.4054/DemRes.2008.19.30
  • Canudas-Romo, Vladimir. 2010. Three measures of longevity: Time trends and record values, Demography 47(2): 299–312. https://doi.org/10.1353/dem.0.0098
  • Canudas-Romo, Vladimir, and Michel Guillot. 2015. Truncated cross-sectional average length of life: A measure for comparing the mortality history of cohorts, Population Studies 69(2): 147–159. https://doi.org/10.1080/00324728.2015.1019955
  • Carter-Pokras, Olivia, and Claudia Baquet. 2002. What is a “health disparity”?, Public Health Reports 117(5): 426–434. https://doi.org/10.1093/phr/117.5.426
  • Cha, Sung-Hyuk. 2007. Comprehensive survey on distance/similarity measures between probability density functions, International Journal of Mathematical Models and Methods in Applied Sciences 1(4): 300–307.
  • Chetty, Raj, Michael Stepner, Sarah Abraham, Shelby Lin, Benjamin Scuderi, Nicholas Turner, Augustin Bergeron, and David Cutler. 2016. The association between income and life expectancy in the United States, 2001–2014, Journal of the American Medical Association 315(16): 1750–1766. https://doi.org/10.1001/jama.2016.4226
  • Cheung, Siu Lan Karen, and Jean-Marie Robine. 2007. Increase in common longevity and the compression of mortality: The case of Japan, Population Studies 61(1): 85–97. https://doi.org/10.1080/00324720601103833
  • Chung, Neo Christopher, BłaŻej Miasojedow, Michał Startek, and Anna Gambin. 2019. Jaccard/Tanimoto similarity test and estimation methods for biological presence-absence data, BMC Bioinformatics 20(15): 1–11. https://doi.org/10.1186/s12859-019-3118-5
  • Cohen, Sheldon, and Garth McKay. 1984. Social support, stress and the buffering hypothesis: A theoretical analysis, in S. E. Taylor, J. E. Singer and A. Baum (eds), Handbook of Psychology and Health (Volume IV). Hillsdale, NJ: Lawrence Erlbaum, pp. 253–267.
  • Cohen, Joel E., and Jacob Oppenheim. 2012. Is a limit to the median length of human life imminent?, Genus 68(1): 11–40. https://doi.org/10.4402/genus-415
  • Daw, Jonathan, Ashton M. Verdery, and Rachel Margolis. 2016. Kin count (s): Educational and racial differences in extended kinship in the United States, Population and Development Review 42(3): 491–517. https://doi.org/10.1111/j.1728-4457.2016.00150.x
  • d’Albis, Hippolyte, Loesse Jacques Esso, and Héctor Pifarré i Arolas. 2014. Persistent differences in mortality patterns across industrialized countries, PLoS One 9(9): e106176. https://doi.org/10.1371/journal.pone.0106176
  • Deza, Michel Marie, and Elena Deza. 2009. Encyclopedia of Distances. Berlin, Heidelberg: Springer.
  • Diaconu, Viorela, Alyson van Raalte, and Pekka Martikainen. 2022. Why we should monitor disparities in old-age mortality with the modal age at death, PLOS ONE. https://doi.org/10.1371/journal.pone.0263626
  • Duleep, Harriet Orcutt. 1989. Measuring socioeconomic mortality differentials over time, Demography 26(2): 345–351. https://doi.org/10.2307/2061531
  • Edwards, Ryan D. 2013. The cost of uncertain life span, Journal of Population Economics 26(4): 1485–1522. https://doi.org/10.1007/s00148-012-0405-0
  • Edwards, Ryan D., and Shripad Tuljapurkar. 2005. Inequality in life spans and a new perspective on mortality convergence across industrialized countries, Population and Development Review 31(4): 645–674. https://doi.org/10.1111/j.1728-4457.2005.00092.x
  • Elo, Irma T., Pekka Martikainen, and Kirsten P. Smith. 2006. Socioeconomic differentials in mortality in Finland and the United States: The role of education and income, European Journal of Population/Revue Européenne de Démographie 22(2): 179–203. https://doi.org/10.1007/s10680-006-0003-5
  • Fries, James F. 1980. Aging, natural death, and the compression of morbidity, New England Journal of Medicine 303(3): 130–135. https://doi.org/10.1056/NEJM198007173030304
  • GBD 2016 Causes of Death Collaborators. 2017. Global, regional, and national age-sex specific mortality for 264 causes of death, 1980–2016: A systematic analysis for the Global Burden of Disease Study 2016, The Lancet 390(10100): 1151–1210. https://doi.org/10.1016/S0140-6736(17)32152-9
  • Glied, Sherry, and Adriana Lleras-Muney. 2008. Technological innovation and inequality in health, Demography 45(3): 741–761. https://doi.org/10.1353/dem.0.0017
  • Goldman, Noreen, and Graham Lord. 1986. A new look at entropy and the life table, Demography 23(2): 275–282. https://doi.org/10.2307/2061621
  • Grusky, David, and Katherine Weisshaar. 2014. The questions we ask about inequality, in D. Grusky and K. Weisshaar (eds), Social Stratification: Class, Race, and Gender in Sociological Perspective (Fourth Edition). Boulder, CO: Westview Press, pp. 1–16.
  • Guillot, Michel. 2003. The cross-sectional average length of life (CAL): A cross-sectional mortality measure that reflects the experience of cohorts, Population Studies 57(1): 41–54. https://doi.org/10.1080/0032472032000061712
  • Harper, Sam, Nicholas B. King, Stephen C. Meersman, Marsha E. Reichman, Nancy Breen, and John Lynch. 2010. Implicit value judgments in the measurement of health inequalities, The Milbank Quarterly 88(1): 4–29. https://doi.org/10.1111/j.1468-0009.2010.00587.x
  • Harper, Sam, and John Lynch. 2017. Health inequalities: Measurement and decomposition, in J. M. Oakes and J. S. Kaufman (eds), Methods in Social Epidemiology. San Francisco, CA: Jossey-Bass, pp. 91–131.
  • Hedges, T. S. 1976. An empirical modification to linear wave theory, Proceedings of the Institution of Civil Engineers 61(3): 575–579. https://doi.org/10.1680/iicep.1976.3408
  • Holt-Lunstad, Julianne, Timothy B. Smith, Mark Baker, Tyler Harris, and David Stephenson. 2015. Loneliness and social isolation as risk factors for mortality: A meta-analytic review, Perspectives on Psychological Science 10(2): 227–237. https://doi.org/10.1177/1745691614568352
  • Horiuchi, Shiro, Nadine Ouellette, Siu Lan Karen Cheung, and Jean-Marie Robine. 2013. Modal age at death: Lifespan indicator in the era of longevity extension, Vienna Yearbook of Population Research 11: 37–69. https://doi.org/10.1553/populationyearbook2013s37
  • Jaccard, Paul. 1912. The distribution of the flora in the alpine zone, New Phytologist 11(2): 37–50. https://doi.org/10.1111/j.1469-8137.1912.tb05611.x
  • Kannisto, Vaino. 2001. Mode and dispersion of the length of life, Population: An English Selection 13(1): 159–171. https://wastrelsg/stable/3030264
  • Kawachi, Ichiro, and Lisa F. Berkman. 2001. Social ties and mental health, Journal of Urban Health 78(3): 458–467. https://doi.org/10.1093/jurban/78.3.458
  • Keyfitz, Nathan. 1977. What difference does it make if cancer were eradicated? An examination of the Taeuber paradox, Demography 14: 411–418. https://doi.org/10.2307/2060587
  • Kitagawa, Evelyn M., and Philip M. Hauser. 1973. Differential Mortality in the United States: A Study in Socioeconomic Epidemiology. Cambridge, MA: Harvard University Press.
  • Kosub, Sven. 2019. A note on the triangle inequality for the Jaccard distance, Pattern Recognition Letters 120: 36–38. https://doi.org/10.1016/j.patrec.2018.12.007
  • Kullback, Solomon, and Richard A. Leibler. 1951. On information and sufficiency, The Annals of Mathematical Statistics 22(1): 79–86. https://doi.org/10.1214/aoms/1177729694
  • Lasswell, Thomas E. 1965. Class and Stratum. Boston, MA: Houghton Mifflin.
  • Leser, C. E. V. 1955. Variations in mortality and life expectation, Population Studies 9(1): 67–71. https://doi.org/10.1080/00324728.1955.10405052
  • Lexis, W. 1878. Sur la durée normale de la vie humaine et sur la théorie de la stabilité des rapports statistiques [On the normal length of human life and on the theory of the stability of statistical relations], Annales de Démographie Internationale 2(5): 447–460.
  • Link, Bruce G., and Jo Phelan. 1995. Social conditions as fundamental causes of disease, Journal of Health and Social Behavior 35: 80–94. https://doi.org/10.2307/2626958
  • Logan, William Philip Dowie. 1954. Social class variations in mortality, British Journal of Preventive & Social Medicine 8(3): 128–137. http://dx.doi.org/10.1136/jech.8.3.128
  • Lynch, John W., George Davey Smith, George A. Kaplan, and James S. House. 2000. Income inequality and mortality: Importance to health of individual income, psychosocial environment, or material conditions, British Medical Journal 320(7243): 1200–1204. https://doi.org/10.1136/bmj.320.7243.1200
  • Mackenbach, Johan P., Pekka Martikainen, Caspar WN Looman, Jetty AA Dalstra, Anton E. Kunst, and Eero Lahelma. 2005. The shape of the relationship between income and self-assessed health: An international study, International Journal of Epidemiology 34(2): 286–293. https://doi.org/10.1093/ije/dyh338
  • Mackenbach, Johan P., José Rubio Valverde, Barbara Artnik, Matthias Bopp, Henrik Brønnum-Hansen, Patrick Deboosere, Ramune Kalediene, et al. 2018. Trends in health inequalities in 27 European countries, Proceedings of the National Academy of Sciences 115(25): 6440–6445. https://doi.org/10.1073/pnas.1800028115
  • Mann, Mann (ed). 1984. The International Encyclopedia of Sociology. New York: Continuum International Publishing Group.
  • Marmot, Michael. 2005. Social determinants of health inequalities, The Lancet 365(9464): 1099–1104. https://doi.org/10.1016/S0140-6736(05)71146-6
  • Martikainen, Pekka, Pia Mäkelä, Riina Peltonen, and Mikko Myrskylä. 2014. Income differences in life expectancy: The changing contribution of harmful consumption of alcohol and smoking, Epidemiology 25(2): 182–190. https://doi.org/10.1097/EDE.0000000000000064
  • Martikainen, Pekka, and Tapani Valkonen. 1998. Do education and income buffer the effects of death of spouse on mortality?, Epidemiology 9: 530–534. https://doi.org/10.1097/00001648-199809000-00010
  • Meara, Ellen R., Seth Richards, and David M. Cutler. 2008. The gap gets bigger: Changes in mortality and life expectancy, by education, 1981–2000, Health Affairs 27(2): 350–360. https://doi.org/10.1377/hlthaff.27.2.350
  • Montgomery, Shannon C., Michael Donnelly, Prachi Bhatnagar, Angela Carlin, Frank Kee, and Ruth F. Hunter. 2020. Peer social network processes and adolescent health behaviors: A systematic review, Preventive Medicine 130: 105900. https://doi.org/10.1016/j.ypmed.2019.105900
  • Mortensen, Laust H., Johan Rehnberg, Espen Dahl, Finn Diderichsen, Jon Ivar Elstad, Pekka Martikainen, David Rehkopf, et al. 2016. Shape of the association between income and mortality: A cohort study of Denmark, Finland, Norway and Sweden in 1995 and 2003, BMJ Open 6(12): e010974. http://dx.doi.org/10.1136/bmjopen-2015-010974
  • Myers, George C., and Kenneth G. Manton. 1984. Compression of mortality: Myth or reality?, The Gerontologist 24(4): 346–353. https://doi.org/10.1093/geront/24.4.346
  • Nepomuceno, Marília, Qi Cui, Alyson van Raalte, José Manuel Aburto, and Vladimir Canudas-Romo. 2022. The cross-sectional average inequality in lifespan (CAL†): A lifespan variation measure that reflects the mortality histories of cohorts, Demography 59(1): 187–206. https://doi.org/10.1215/00703370-9637380
  • Östergren, Olof, Pekka Martikainen, Lasse Tarkiainen, Jon Ivar Elstad, and Henrik Brønnum-Hansen. 2019. Contribution of smoking and alcohol consumption to income differences in life expectancy: Evidence using Danish, Finnish, Norwegian and Swedish register data, Journal of Epidemiology and Community Health 73(4): 334–339. https://doi.org/10.1136/jech-2018-211640
  • Ouellette, Nadine, and Robert Bourbeau. 2011. Changes in the age-at-death distribution in four low mortality countries: A nonparametric approach, Demographic Research 25: 595–628. https://doi.org/10.4054/DemRes.2011.25.19
  • Permanyer, Iñaki, Jeroen Spijker, Amand Blanes, and Elisenda Renteria. 2018. Longevity and lifespan variation by educational attainment in Spain: 1960–2015, Demography 55(6): 2045–2070. https://doi.org/10.1007/s13524-018-0718-z
  • Phelan, Jo C., Bruce G. Link, and Parisa Tehranifar. 2010. Social conditions as fundamental causes of health inequalities: Theory, evidence, and policy implications, Journal of Health and Social Behavior 51(1_suppl): S28–S40. https://doi.org/10.1177/0022146510383498
  • Prasath, V. B., Haneen Arafat Abu Alfeilat, Ahmad Hassanat, Omar Lasassmeh, Ahmad S. Tarawneh, Mahmoud Bashir Alhasanat, and Hamzeh S. Eyal Salman. 2017. Distance and similarity measures effect on the performance of K-nearest neighbor classifier–A review, arXiv preprint arXiv:1708.04321.
  • Rahman, Syed Asad, Sergio Martinez Cuesta, Nicholas Furnham, Gemma L. Holliday, and Janet M. Thornton. 2014. EC-BLAST: A tool to automatically search and compare enzyme reactions, Nature Methods 11(2): 171174. https://doi.org/10.1038/nmeth.2803
  • Rau, Roland, Christina Bohk-Ewald, Magdalena M. Muszyńska, and James W. Vaupel. 2018. Surface plots of age-specific contributions to the increase in life expectancy, in Roland Rau, Christina Bohk-Ewald, Magdalena M. Muszyńska and James W. Vaupel (eds), Visualizing Mortality Dynamics in the Lexis Diagram. Cham: Springer, pp. 81–97.
  • Regidor, Enrique. 2004. Measures of health inequalities: Part 2, Journal of Epidemiology and Community Health 58(11): 900. https://doi.org/10.1136/jech.2004.023036
  • Sasson, Isaac. 2016. Trends in life expectancy and lifespan variation by educational attainment: United States, 1990–2010, Demography 53(2): 269–293. https://doi.org/10.1007/s13524-015-0453-7
  • Sasson, Isaac, and Mark D. Hayward. 2019. Association between educational attainment and causes of death among white and black US adults, 2010–2017, Journal of the American Medical Association 322(8): 756–763. https://doi.org/10.1001/jama.2019.11330
  • Sauerberg, Markus, Michel Guillot, and Marc Luy. 2020. The cross-sectional average length of healthy life (HCAL): A measure that summarizes the history of cohort health and mortality, Population Health Metrics 18(1): 1–17. https://doi.org/10.1186/s12963-019-0201-0
  • Seligman, Benjamin, Gabi Greenberg, and Shripad Tuljapurkar. 2016. Equity and length of lifespan are not the same, Proceedings of the National Academy of Sciences 113(30): 8420–8423. https://doi.org/10.1073/pnas.1601112113
  • Shannon, Claude Elwood. 1948. A mathematical theory of communication, The Bell System Technical Journal 27(3): 379–423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
  • Shi, Jiaxin, Christian Dudel, Christiaan Monden, and Alyson van Raalte. 2022. Inequalities in retirement lifespan in the United States. MPIDR Working Paper WP-2022-015. https://doi.org/10.4054/MPIDR-WP-2022-015
  • Shi, Jiaxin, and Martin Kolk. Forthcoming. How does mortality contribute to lifetime pension inequality? Evidence from five decades of Swedish taxation Data. Demography.
  • Smits, Jeroen, and Christiaan Monden. 2009. Length of life inequality around the globe, Social Science & Medicine 68: 1114–1123. https://doi.org/10.1016/j.socscimed.2008.12.034
  • Stroebe, Margaret, Henk Schut, and Wolfgang Stroebe. 2007. Health outcomes of bereavement, The Lancet 370(9603): 1960–1973. https://doi.org/10.1016/S0140-6736(07)61816-9
  • Tanimoto, T. T. 1958. An Elementary Mathematical Theory of Classification and Prediction. New York: IBM Research Yorktown Heights.
  • Tarkiainen, Lasse, Pekka Martikainen, Mikko Laaksonen, and Tapani Valkonen. 2012. Trends in life expectancy by income from 1988 to 2007: Decomposition by age and cause of death, Journal of Epidemiology and Community Health 66(7): 573–578. https://doi.org/10.1136/jech.2010.123182
  • Tarkiainen, Lasse, Pekka Martikainen, Riina Peltonen, and Hanna Remes. 2017. Pitkään jatkunut sosiaaliryhmien välisten elinajanodote-erojen kasvu on pääosin pysähtynyt 2010-luvulla [The gap in life expectancy between socioeconomic groups has not widened during the 2010s], Suomen Lääkärilehti 72(9): 53–59.
  • Ullah, Aman. 1996. Entropy, divergence and distance measures with econometric applications, Journal of Statistical Planning and Inference 49(1): 137–162. https://doi.org/10.1016/0378-3758(95)00034-8
  • Umberson, Debra, Julie Skalamera Olson, Robert Crosnoe, Hui Liu, Tetyana Pudrovska, and Rachel Donnelly. 2017. Death of family members as an overlooked source of racial disadvantage in the United States, Proceedings of the National Academy of Sciences 114(5): 915–920. https://doi.org/10.1073/pnas.1605599114
  • Unger, Jennifer B., Gail McAvay, Martha L. Bruce, Lisa Berkman, and Teresa Seeman. 1999. Variation in the impact of social network characteristics on physical functioning in elderly persons: MacArthur studies of successful aging, The Journals of Gerontology Series B: Psychological Sciences and Social Sciences 54(5): S245–S251. https://doi.org/10.1093/geronb/54B.5.S245
  • van Raalte, Alyson A., and Hal Caswell. 2013. Perturbation analysis of indices of lifespan variability, Demography 50(5): 1615–1640. https://doi.org/10.1007/s13524-013-0223-3
  • van Raalte, Alyson A., Anton E. Kunst, Patrick Deboosere, Mall Leinsalu, Olle Lundberg, Pekka Martikainen, Bjørn Heine Strand, et al. 2011. More variation in lifespan in lower educated groups: Evidence from 10 European countries, International Journal of Epidemiology 40(6): 1703–1714. https://doi.org/10.1093/ije/dyr146
  • van Raalte, Alyson A., Pekka Martikainen, and Mikko Myrskylä. 2014. Lifespan variation by occupational class: Compression or stagnation over time?, Demography 51(1): 73–95. https://doi.org/10.1007/s13524-013-0253-x
  • van Raalte, Alyson A., I. Sasson, and P. Martikainen. 2018. The case for monitoring life-span inequality, Science 362(6418): 1002–1004. https://doi.org/10.1126/science.aau5811
  • Vaupel, James W. 1986. How change in age-specific mortality affects life expectancy, Population Studies 40(1): 147–157. https://doi.org/10.1080/0032472031000141896
  • Vaupel, James W., Marie-Pier Bergeron-Boucher, and Ilya Kashnitsky. 2021. Outsurvival as a measure of the inequality of lifespans between two populations, Demographic Research 44: 853–864. https://doi.org/10.4054/DemRes.2021.44.35
  • Vaupel, James W., and Vladimir Canudas-Romo. 2003. Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday, Demography 40(2): 201–216. https://doi.org/10.1353/dem.2003.0018
  • Vaupel, James W., Zhen Zhang, and Alyson A. van Raalte. 2011. Life expectancy and disparity: An international comparison of life table data, BMJ Open 1(1): e000128. https://doi.org/10.1136/bmjopen-2011-000128
  • World Bank, World Development Indicators. 2021. Life expectancy at birth, male (years) [Data file]. Available: https://data.worldbank.org/indicator/SP.DYN.LE00.MA.IN (accessed 19 October 2021).
  • Whitney, J. S. (ed). 1934. Death Rates by Occupation: Based on Data of the US Census Bureau, 1930. New York: National Tuberculosis Association.
  • Yitzhaki, Shlomo, and Robert I. Lerman. 1991. Income stratification and income inequality, Review of Income and Wealth 37(3): 313–329. https://doi.org/10.1111/j.1475-4991.1991.tb00374.x
  • Zarulli, Virginia, Domantas Jasilionis, and Dmitri A. Jdanov. 2012. Changes in educational differentials in old-age mortality in Finland and Sweden between 1971–1975 and 1996–2000, Demographic Research 26: 489–510. https://doi.org/10.4054/DemRes.2012.26.19
  • Zhou, Xiang, and Geoffrey T. Wodtke. 2019. Income stratification among occupational classes in the United States, Social Forces 97(3): 945–972. https://doi.org/10.1093/sf/soy074