A comparative study of prevalence-based incidence estimation techniques with application to dementia data in Germany

Statistics in Medicine

Volumn 35, Issue 5, 2016, Pages 768-781

  Landwehr, Sandra ^a   Brinks, Ralph ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

Illness death model; Incidence estimation; Ordinary differential equation; Prevalence

Indexed keywords

AGE; ARTICLE; COMPARATIVE STUDY; CROSS-SECTIONAL STUDY; DEMENTIA; DISEASE COURSE; DISEASE MODEL; EPIDEMIOLOGICAL DATA; GERMANY; HUMAN; ILLNESS DEATH MODEL; INCIDENCE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MORTALITY; ORDINARY DIFFERENTIAL EQUATION; PREVALENCE; SIMULATION; AGE DISTRIBUTION; AGED; FEMALE; MALE; VERY ELDERLY;

AGE DISTRIBUTION; AGED; AGED, 80 AND OVER; DEMENTIA; EPIDEMIOLOGIC STUDIES; FEMALE; GERMANY; HUMANS; INCIDENCE; MALE; PREVALENCE;

EID: 84956596968     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.6736     Document Type: Article

References (32)

1. Keiding N. Age-specific incidence and prevalence: a statistical perspective. Journal of the Royal Statistical Society Series A. 1991; 154(3):371-412.
2. Fix E, Neyman J. A simple stochastic model of recovery, relapse, death and loss of patients. Human Biology. 1951; 23:205-241.
3. Murray CJL, Lopez AD. Quantifying disability: data, methods and results. Bulletin of the World Health Organization. 1994; 72(3):481-494.
4. Brinks R, Landwehr S, Icks A, Koch M, Giani G. Deriving age-specific incidence from prevalence with an ordinary differential equation. Statistics in Medicine. 2013; 32(12):2070-2078.
5. Barendregt JJ, Baan CA, Bonneux L. An indirect estimate of the incidence of non-insulin-dependent diabetes mellitus. Epidemiology. 2000; 11(3):274-279.
6. Barendregt JJ, van Oortmarsen GJ, van Hout BA, van de Bosch JM, Bonneux L. Coping with multiple morbidity in a life table. Mathematical Population Studies. 1998; 7(1):29-49.
7. McGee MA, Brayne C. The impact on prevalence of dementia in the oldest age groups of differential mortality patterns: a deterministic approach. International Journal of Epidemiology. 1998; 27(1):87-90.
8. Podgor MJ, Leske MC. Estimating incidence from age-specific prevalence for irreversible diseases with differential mortality. Statistics in Medicine. 1986; 5(6):573-578.
9. Brinks R, Landwehr S. Age- and time-dependent model of the prevalence of non-communicable diseases and application to dementia in Germany. Theoretical Population Biology. 2014; 92:62-68.
10. Ziegler U, Doblhammer G. Prävalenz und Inzidenz von Demenz in Deutschland - Eine Studie auf Basis von Daten der gesetzlichen Krankenversicherungen von 2002. (Prevalence and incidence of dementia in Germany - a study based on data from the Public Sick Funds in 2002.)Das Gesundheitswesen. 2009; 71(5):281-290.
11. Qiu C, Kivipelto M, von Strauss E. Epidemiology of Alzheimers disease: occurrence, determinants, and strategies toward intervention. Dialogues in Clinical Neuroscience. 2009; 11:111-128.
12. Bickel H. Demenzsyndrom und Alzheimer Krankheit: Eine Schätzung des Krankenbestandes und der jährlichen Neuerkrankungen in Deutschland. Gesundheitswesen. 2000; 62:211-216.
13. Putter H, Fiocco M, Geskus RB. Tutorial in biostatistics: competing risks and multi-state models. Statistics in Medicine. 2007; 26:2389-2430.
14. Brinks R, Landwehr S. A new relation between prevalence and incidence of a chronic disease. Mathematical Medicine and Biology. to appear. DOI:10.1093/imammb/dqu024.
15. Keiding N. Event history analysis and the cross-section. Statistics in Medicine. 2006; 25:2343-2364.
16. Pearce N. What does the odds ratio estimate in a case-control study?International Journal of Epidemiology. 1993; 22:1189-1192.
17. Dahlquist G, Björk A. Numerical Methods. Prentice-Hall: Englewood-Cliffs, NJ, 1974.
18. Kahn HA, Leibowitz HM, Ganley JP, Kini MM, Colton T, Nickerson RS, Dawber TR. The Framingham Eye Study. I. Outline and major prevalence findings. Americal Journal of Epidemiology. 1977; 106(1):17-32.
19. Leibowitz HM, Krueger DE, Maunder LR, Milton RC, Kini MM, Kahn HA, Nickerson RJ, Pool J, Colton TL, Ganley JP, Loewenstein JI, Dawber TR. The Framingham Eye Study monograph: an ophthalmological and epidemiological study of cataract, glaucoma, diabetic retinopathy, macular degeneration, and visual acuity in a general population of 2631 adults, 1973-1975. Survey of Ophtalmology. 1980; 24(Supplement):335-610.
20. Hennekens CH, Buring JE. Epidemiology in Medicine. Lippincott Williams & Wilkins: Philadelphia, PA, 1987.
21. Leske MC, Ederer F, Podgor M. Estimating incidence from age-specific prevalence in glaucoma. American Journal of Epidemiology. 1981; 113:606-613.
22. Dray A. A multistage incidence estimation model for diseases with differential mortality. Thesis, Harvey Mudd College, 2010.
23. Strehler BL, Mildvan AS. General theory of mortality and aging. Science. 1960; 132:14-21.
24. Carstensen B, Kristensen JK, Ottosen P, Borch-Johnsen K. on behalf of the steering group of the National Diabetes Register. The Danish National Diabetes Register: trends in incidence, prevalence and mortality. Diabetologia. 2008; 51:2187-2196.
25. Allen TT. Introduction to Discrete Event Simulation and Agent-based Modeling: Voting Systems, Health Care, Military, and Manufacturing. Springer: London, 2011.
26. Rait G, Walters K, Bottomley C, Petersen I, Iliffe S, Nazareth I. Survival of people with clinical diagnosis of dementia in primary care: cohort study. BMJ. 2010; 341:c3584.
27. Brodaty H, Seeher K, Gibson L. Dementia time to death: a systematic literature review on survival time and years of life lost in people with dementia. International Psychogeriatrics. 2012; 24:1034-1045.
28. Ziegler U. Dementia in Germany - past trends and future developments. PhD thesis, 2010.
29. Schulz A, Doblhammer G. 2012. Aktueller und zukünftiger Krankenbestand von Demenz in Deutschland auf basis der outinedaten der AOK. (Current and future number of people suffering from dementia in Germany based on routine data from the AOK.) In Versorgungs-Report, Günster C, Klose J, Schmacke N (eds).; 161-175.
30. Schrijvers EM, Verhaaren BF, Koudstaal PJ, Hofman A, Ikram MA, Breteler MM. Is dementia declining?: Trends in dementia incidence since 1990 in the Rotterdam study. Neurology. 2012; 78:1456-1463.
31. Brinks R, Landwehr S, Waldeyer R. Age of onset in chronic diseases: new method and application to dementia in Germany. Population Health Metrics. (2 May 2013); 11(6). 10.1186/1478-7954-11-6.
32. Federal Statistical Office of Germany. http://www.destatis.de (accessed 19.05.2014).