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A general HIV incidence inference scheme based on likelihood of individual level data and a population renewal equation

(2012) PLOS ONE. 7(9).
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Abstract
We derive a new method to estimate the age specific incidence of an infection with a differential mortality, using individual level infection status data from successive surveys. The method consists of a) an SI-type model to express the incidence rate in terms of the prevalence and its derivatives as well as the difference in mortality rate, and b) a maximum likelihood approach to estimate the prevalence and its derivatives. Estimates can in principle be obtained for any chosen age and time, and no particular assumptions are made about the epidemiological or demographic context. This is in contrast with earlier methods for estimating incidence from prevalence data, which work with aggregated data, and the aggregated effect of demographic and epidemiological rates over the time interval between prevalence surveys. Numerical simulation of HIV epidemics, under the presumption of known excess mortality due to infection, shows improved control of bias and variance, compared to previous methods. Our analysis motivates for a) effort to be applied to obtain accurate estimates of excess mortality rates as a function of age and time among HIV infected individuals and b) use of individual level rather than aggregated data in order to estimate HIV incidence rates at times between two prevalence surveys.
Keywords
AGE-SPECIFIC PREVALENCE, CAPTURE ENZYME-IMMUNOASSAY, INCIDENCE RATES, SEROPREVALENCE DATA, INFECTION, EPIDEMIC, WOMEN, ESTIMATORS, AFRICA, TESTS

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Citation

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Chicago
Mahiane, Guy Severin, Rachid Ouifki, Hilmarie Brand, Wim Delva, and Alex Welte. 2012. “A General HIV Incidence Inference Scheme Based on Likelihood of Individual Level Data and a Population Renewal Equation.” Plos One 7 (9).
APA
Mahiane, G. S., Ouifki, R., Brand, H., Delva, W., & Welte, A. (2012). A general HIV incidence inference scheme based on likelihood of individual level data and a population renewal equation. PLOS ONE, 7(9).
Vancouver
1.
Mahiane GS, Ouifki R, Brand H, Delva W, Welte A. A general HIV incidence inference scheme based on likelihood of individual level data and a population renewal equation. PLOS ONE. 2012;7(9).
MLA
Mahiane, Guy Severin, Rachid Ouifki, Hilmarie Brand, et al. “A General HIV Incidence Inference Scheme Based on Likelihood of Individual Level Data and a Population Renewal Equation.” PLOS ONE 7.9 (2012): n. pag. Print.
@article{3058354,
  abstract     = {We derive a new method to estimate the age specific incidence of an infection with a differential mortality, using individual level infection status data from successive surveys. The method consists of a) an SI-type model to express the incidence rate in terms of the prevalence and its derivatives as well as the difference in mortality rate, and b) a maximum likelihood approach to estimate the prevalence and its derivatives. Estimates can in principle be obtained for any chosen age and time, and no particular assumptions are made about the epidemiological or demographic context. This is in contrast with earlier methods for estimating incidence from prevalence data, which work with aggregated data, and the aggregated effect of demographic and epidemiological rates over the time interval between prevalence surveys. Numerical simulation of HIV epidemics, under the presumption of known excess mortality due to infection, shows improved control of bias and variance, compared to previous methods. Our analysis motivates for a) effort to be applied to obtain accurate estimates of excess mortality rates as a function of age and time among HIV infected individuals and b) use of individual level rather than aggregated data in order to estimate HIV incidence rates at times between two prevalence surveys.},
  articleno    = {e44377},
  author       = {Mahiane, Guy Severin and Ouifki, Rachid and Brand, Hilmarie and Delva, Wim and Welte, Alex},
  issn         = {1932-6203},
  journal      = {PLOS ONE},
  keyword      = {AGE-SPECIFIC PREVALENCE,CAPTURE ENZYME-IMMUNOASSAY,INCIDENCE RATES,SEROPREVALENCE DATA,INFECTION,EPIDEMIC,WOMEN,ESTIMATORS,AFRICA,TESTS},
  language     = {eng},
  number       = {9},
  pages        = {11},
  title        = {A general HIV incidence inference scheme based on likelihood of individual level data and a population renewal equation},
  url          = {http://dx.doi.org/10.1371/journal.pone.0044377},
  volume       = {7},
  year         = {2012},
}

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