AccScience Publishing / IJPS / Volume 2 / Issue 2 / DOI: 10.18063/IJPS.2016.02.008
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Assessments of mortality at oldest-old ages by province in China's 2000 and 2010 censuses

Danan Gu1* Runlong Huang2 Kirill Andreev1 Matthew E. Dupre3 Yaer Zhuang4 Hongyan Liu4
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1 United Nations Population Division, 2 UN Plaza, DC2-1910, New York, NY 10017, USA
2 School of Social Development, Nanjing Normal University, 122 Ninghai Road, Gulou District, Nanjing, Jiangsu Province, China
3 Duke Clinical Research Institute & Department of Sociology, Duke University, Durham, NC 27708, USA
4 China Population and Development Research Center, 12 Dahuisi Road, Haidian, Beijing, China
© Invalid date by the Authors. Licensee AccScience Publishing, Singapore. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC BY-NC 4.0) ( )

This study examined the possible underestimation and age-trajectories of mortality at oldest-old ages in China’s 2000 and 2010 censuses. By linking logit-transformed conditional probabilities of dying from 13 countries with the highest data quality in the world, this study found that many Chinese provinces had underestimations of mortality at oldest-old ages when a relatively lenient criterion was applied. When a relatively strict criterion was applied, most provinces had a 30% or more underestimation in the probability of dying. We also investigated age trajectories of death rates after age 80 in these two censuses by applying the Kannisto model. Results showed that the age trajectories were distorted in most provinces after age 95. Overall, eastern-coastal provinces had higher data quality — in terms of low underestimation rates and less distorted age trajectories — whereas western China had provinces with problematic data. Females had greater rates of underestimation yet less distorted age-trajectories than males; and the 2010 census had greater rates of underestimation yet less distorted age-trajectories than the 2000 census. We conclude that appropriate adjustments with simultaneous applications of the Kannisto model are needed for direct estimates of mortality at oldest-old ages in the 2000 and 2010 censuses for China and for its provinces.

Kannisto model
death underreports
death rate
provincial variation
age exaggeration
age misreporting

Andreev K and Gu D. (2017). Levels and trends in regional mortality in the United States at ages 80 and over: exploratory data analysis of direct mortality estimates. Paper presented at the 2017 Living to 100 symposium, Society of Actuaries, January 4–6, 2017: Orlando, Florida, United States.


Banister J and Hill K. (2004). Mortality in China 1964–2000. Population Studies, 58(1): 55–75.


Bignami-Van Assche S. (2005). Province-specific mortality in China, 1990-2000. Presented at the 2005 Annual Meeting of the Population Association of America, Philadelphia, Pennsylvania, March 31–April 2, 2005. Retrieved on November 5, 2016 from


Brass W. (1971). On the scale of mortality, in W Brass (ed.), Biological Aspects of Demography (pp.69–110). London: Taylor & Francis.


Chou M-J, Tu Y-C and Huang K-P. (2013). Confucianism and character education: a Chinese view. Journal of Social Sciences, 9(2): 59–66.


Coale A and Kisker E E. (1986). Mortality crossovers: reality or bad data? Population Studies, 40(3): 389–401.


Coale A and Li S. (1991). The effect of age misreporting in China on the calculation of mortality rates at very high ages. Demography, 28(2): 293–301.


Dorrington R. (2013). The Brass growth balance method. In T Moultrie, R Dorrington, A Hill, et al. Tools for Demographic Estimation (pp.196–208). Paris: International Union for the Scientific Study of Population (IUSSP).


Duan B and Shi L (2015). Deceleration in the age pattern of old-age mortality rates in China: biases or facts? Statis- Danan Gu, Runlong Huang, Kirill Andreev, et al. International Journal of Population Studies | 2016, Volume 2, Issue 2 19 tical Research, 32(9): 56–67. [In Chinese]


Fang R-K. (1993). The geographical inequalities of mortality in China. Social Sciences & Medicine, 36(10): 1319–1323.


Fox J and Weisberg S (2011). An R Companion to Applied Regression, 2nd edn. Thousand Oaks CA: Sage Publisher.


Gu D and Dupre ME. (2008). Assessment of reliability of mortality and morbidity in the 1998–2002 CLHLS waves. In Y Zeng, D L Poston, D A Vlosky, et al. (eds.). Healthy Longevity in China: Demographic, Socioeconomic, and Psychological Dimensions (pp.99–115). Dordrecht, The Netherlands: Springer Publisher.


Gu D, Gerland P, Li N, et al. (2013). Old-age mortality in Eastern and South-Eastern Asia. Demographic Research, 29: 999–1038.


Guo L and Che S. (2008). Analysis of age heaping in Xinjiang in 2000. Northwest Population, 2: 111–115. [in Chinese]


Hao H, Arriage E and Banister J. (1988). Analysis of China's province-specific mortality. Population Research, 12(4): 1–10. [in Chinese]


Huang R and Poston D L Jr. (2000). Mathematics modeling for the elderly mortality of China by regions. Population & Economics, 3: 17–22. [in Chinese]


Kannisto V. (1988). On the survival of centenarians and the span of life. Population Studies, 42(3): 389–406.


Kannisto V. (1994). Development of Oldest-old Mortality, 1950–1990: Evidence from 28 Developed Countries. Odense: Odense University Press.


Kannisto V, Lauristen J, Thatcher A R, et al. (1994). Reductions in mortality at advanced ages: several decades of evidence from 27 countries. Population and Development Review, 20(4): 793–809.


Kestenbaum B. (1992). A description of the extreme aged population based on improved medicare enrollment data. Demography, 29(4): 565–580. Kostaki A. (2000). A relational technique for estimating the age-specific mortality pattern from grouped data. Mathematical Population Studies: An International Journal of Mathematical Demography, 9(1): 83-95.


Kostaki A, Lanke J (2000). Degrouping mortality data for the elderly. Mathematical Population Studies: An International Journal of Mathematical Demography, 7(4): 331-341.


Jeune B and Vaupel J W (eds.) (1995). Exceptional longevity: from prehistory to the present. Odense, Demark: Odense University Press. Retrieved on December 1, 2016 from


Li J, Bateman H and Liu K. (2015). Regional differences in life expectancy in mainland China. Presented to the Actuaries Institute. Astin, AFIR/ERM and IACA Colloquia. 23–27 August 2015, Sydney. Retrieved on December 2, 2016 from pdf.


Liu Q. (2011). There were 787 deceased persons still receiving pension. South Daily, October 31, 2011. Retrieved on September 13, 2016 from [In Chinese]


Liu Q, Li G, Wei Z, et al. (2016). Analysis on the consistency and timeliness of death data gathered from different sources in the residents of Beijing. Chinese Journal of Epidemiology, 37(12): 1619–1624. [In Chinese]


Liu T. (1991). Age misreporting in the oldest-old in Xinjiang. Population Research, 1: 22–26. [In Chinese]


Murray C J L, Ferguson B D, Lopez A D, et al. (2003). Modified logit life table system: principles, empirical validation, and application. Population Studies, 57(2): 165–182.


Nagnur D. (1986). Rectangularization of the survival curve and entropy: the Canadian experience 1921–1981. Canadian Studies in Population, 13(1): 83–102. Assessments of mortality at oldest-old ages by province in China's 2000 and 2010 censuses 20 International Journal of Population Studies | 2016, Volume 2, Issue 2


National Bureau of Statistics of China. (2002). The tabulations of the 2000 China's Population Census. Beijing: China Statistics Press. [In Chinese]


National Bureau of Statistics of China. (2012). The tabulations of the 2010 China's Population Census. Beijing: China Statistics Press. [In Chinese]


Ren Q, You Y, Zheng X, et al. (2015). The levels and patterns of mortality and their regional variation in China since the 1980s. Chinese Journal of Population Chinese, 3: 19–29. [In Chinese] Robine J-M, Crimmins E, Horiuchi S, et al. (eds.) (2007). Human Longevity, Individual Life Duration, and the Growth of the Oldest-old Population. Dordrecht, The Netherlands: Springer. Robine J-M, Vaupel J W, Jeune B, et al. (eds.) (1997). Longevity: To the Limits and Beyond. Berlin: Springer-Verlag.


Song X. (2000). An assessment of completeness of death reporting in cause-of death registration system in China. Marketing and Demographic Analysis, 2: 33–40. [In Chinese]


Suzman R M, Willis D P and Manton K G. (eds.) (1992). The Oldest-old. Oxford, United Kingdom: Oxford University Press.


Thatcher A R. (1992). Trends in numbers and mortality at high ages in England and Wales. Population Studies, 46(3): 411–426.


Thatcher A R. (1999). The long-term pattern of adult mortality and the highest attained age. Journal of the Royal Statistical Society, 162A(1): 5–43.


Thatcher AR, Kannisto V and Andreev K. (2002). The survivor ratio method for estimating numbers at high ages. Demographic Research, 6(1): 2–15.


Thatcher R, Kannisto V and Vaupel J W. (1998). The force of mortality at ages 80 to 120. Odense, Denmark: Odense University Press. Retrieved on September 15, 2016 from


United Nations Population Division (UNPD). (2003). MortPak for Windows, version 4.3. New York: United Nations.


United Nations Population Division (UNPD) (2013). Notes for extended model life tables. Retrieved on August 12, 2016 from United Nations Population Division. (2015). The World Population Prospects: The 2015 Revision. New York: the United Nations.


Wang H. (2012). Anthropological investigation of age heaping in Uyghurs. Northeast Ethnicity Studies, 3: 5–12. [In Chinese]


Wang J. (2013). Trends in life expectancies and mortality patterns in China since 1990: a further examination and analysis. Population Research, 37(4): 3–18. [In Chinese]


Wang J and Ge Y. (2013). Assessment of 2010 census data quality and past population changes. Population Research, 37(1): 22–33.


Wang P and Liu X,. (2016). The Hainan Social Security Department found 5517 fraud cases for pension. Hainan Daily, May 23. Retrieved on September 21, 2016 from [In Chinese]


Wang L, Wang L, Cai Y, et al. (2011). Analysis of under-reporting mortality surveillance from 2006 to 2008 in China. Chinese Journal of Preventive Medicine, 45(12): 1061–1064. [In Chinese] Wilmoth J, Andreev K, Jdanov D, et al. (2007). Methods protocol for the Human Mortality Database. Retrieved on September 17, 2016 from


Wilmoth J, Zureick S, Canudas-Romo V, et al. (2012). A flexible two-dimensional mortality model for use in indirect estimation. Population Studies, 66(1): 1–28.


Xia M. (2016). A research on the problems of the medical insurance relationship shift for “seasonal migratory retirees”: a practical discussion based on typical provinces: Jilin and Hainan. Advances in Social Sciences, 5(1): 194–199. [In Chinese]


Yang Y. (1988). Aging heaping in population of Xinjiang. Northwest Population, 4: 39–44. [In Chinese] Danan Gu, Runlong Huang, Kirill Andreev, et al. International Journal of Population Studies | 2016, Volume 2, Issue 2 21


You Y and Zheng X (2005). Mortality and Health of the Chinese Population: Levels, Patterns, Causes, and Trends Since the 1980s. Beijing: Peking University Press. [In Chinese]


Zeng Y and Gu D. (2008). Reliability of age reporting among the Chinese oldest-old in the CLHLS data sets. In Y Zeng, D Poston, D A Vlosky, et al. (eds.). Healthy Longevity in China: Demographic, Socioeconomic, and Psychological Dimensions (pp.61–78). Dordrecht, The Netherlands: Springer Publisher.


Zeng Y and Vaupel JW. (2003). Oldest-old mortality in China. Demographic Research, 8(7): 216–244.


Zhai Z, Chen J and Li L. (2015). New developments and future trends of births in China. Population Research, 39(2): 48–56.


Zhang J, Wu T and Zhang Q. (2004). Mortality by province in China. Journal of Sichuan University (medical sciences ed.), 3: 432–433. [In Chinese]


Zheng H. (2014). Aging in the context of cohort evolution and mortality selection. Demography, 51(4), 1295–1317.


Zhou M, Wang H, Zhu J. et al. (2016). Cause-specific mortality for 240 causes in China during 1990–2013: a systematic subnational analysis for the global burden of disease study 2013. The Lancet, 387(10015): 251–272.


Zhou M and Yin P. (2016). The experience of China with the Disease Surveillance Point system (DSPs) and validation studies to evaluate the completeness of death registration. Presented at the Expert Group Meeting on the Methodology and lessons learned to evaluate the completeness and quality of vital statistics data from civil registration”, November 3–4, 2016. Retrieved on November 18, 2016 from

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