Caswell Hal, Margolis Rachel, Verdery Ashton M
Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, Amsterdam, The Netherlands.
Department of Sociology, University of Western Ontario, London, Ontario, Canada.
Demogr Res. 2023 Jul-Dec;49. doi: 10.4054/demres.2023.49.41. Epub 2023 Dec 14.
The death of kin has psychological, physical, and economic effects on other members of a kinship network. Recently developed formal demographic models provide the deaths of kin, of any kind, at any age of a Focal individual. However, causes of death have yet to be accounted for.
Our objective is to extend the matrix kinship model to analyze losses of kin by cause of death, given age-specific schedules of risk due to each cause.
The projection matrix is enlarged to include multiple absorbing states representing the age at death and the cause of death of kin at each age of Focal. The fertility matrix is enlarged to include production of living kin and set births by dead kin to zero.
The model provides deaths experienced at each age and accumulated up to each age of Focal, by cause of death and age at death. Causes of death are competing risks, permitting the study of how the elimination of one cause displaces bereavement across kin types and age groups of the bereaved. As an example, we analyze kin death experiences attributable to each of the leading 15 causes of death in the United States non-Hispanic white female population.
Studies of the death of kin and bereavement of survivors can now take into account diverse causes of death, each with its own age schedule of risks. These results provide novel understandings of how different causes of death influence kinship structures and bereavement experiences among surviving kin.
亲属的死亡会对亲属网络中的其他成员产生心理、身体和经济影响。最近开发的正式人口模型可以提供焦点个体在任何年龄、任何类型亲属的死亡情况。然而,死亡原因尚未得到考虑。
我们的目标是扩展矩阵亲属模型,以分析因死亡原因导致的亲属损失,并给出每个原因对应的特定年龄风险时间表。
将投影矩阵扩大,以纳入多个吸收状态,这些状态代表焦点个体每个年龄时亲属的死亡年龄和死亡原因。将生育矩阵扩大,以纳入存活亲属的生育情况,并将死亡亲属的设定出生数设为零。
该模型按死亡原因和死亡年龄提供了焦点个体每个年龄经历的死亡情况以及累积至每个年龄的死亡情况。死亡原因是竞争风险,这使得我们能够研究消除一种死因如何在亲属类型和丧亲者年龄组中转移丧亲情况。例如,我们分析了美国非西班牙裔白人女性人口中15种主要死因各自导致的亲属死亡经历。
对亲属死亡和幸存者丧亲情况的研究现在可以考虑到不同的死亡原因,每种原因都有其自己的年龄风险时间表。这些结果为不同死亡原因如何影响亲属结构和幸存亲属的丧亲经历提供了新的认识。