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The Probability Distribution Framework for estimating the Prevalence of Undernourishment

Exploding the Myth of the Bivariate Distribution






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    Methodological issues in the estimation of the prevalence of undernourishment based on dietary energy consumption data: A review and clarification 2014
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    Sukhatme had in the early 1960’s originally formulated the estimate of the proportion of undernourished in a population (PU) within a bivariate distribution framework where dietary energy consumption (DEC) and dietary energy requirement (DER) are considered as random variables. However, in the absence of data on DEC and DER of individuals expressed in the form of bivariate distribution, Sukhatme had suggested a formula that considers the part of the distribution of DEC below a cut-off point repr esenting the lower limit of the distribution of DER as an estimate of PU. However, this univariate approach has been criticised as yielding an underestimate of the magnitude of the prevalence undernourishment in a population. In response to this critic, Sukhatme has attempted to justify the approach by invoking the theory of intra-individual changes in DER. As this theory has led to a controversy rather than a clarification of the univariate approach, doubts regarding its validity still prevail. Following a review of these developments including the concept of DER, this article shows that the formulation of PU within the bivariate distribution framework is inappropriate. Subsequently, the relevance of the univariate approach is clarified. Finally, the article addresses certain issues relating to practical estimation of the prevalence measures based on household rather than individual data pertaining to DEC.
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    Undernourishment and critical food poverty: Indicators at national and sub-national levels 2009
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    Indicators to measure food poverty and undernourishment are useful for understanding food insecurity at national level and within countries. This paper discusses two indicators: proportion of undernourishment, and proportion of critical food poverty. Both indicators are based on nutritional underlying criteria and derived from food consumption and income data collected in national household surveys. Proportion of undernourishment is the Millennium Development Goals (MDG) indicator number 1.9, which is based on the distribution of dietary energy consumption (DEC); the proportion of critical food poverty is an indicator that links undernourishment to food poverty, based on the distribution of income (INC). The link is the concept of minimum dietary energy requirement (MDER) used in the FAO methodology as the cutoff value in the distribution of dietary energy consumption for estimating undernourishment. The critical food poverty line for estimating the proporti on of critical food poverty is the critical income corresponding to the cost of the MDER, based on a balanced diet on energy-yielding nutrients accessible to low-income population groups. The macronutrient-balanced diet uses the recommendations of a Joint WHO/ FAO Expert Consultation on Diet, Nutrition and the Prevention of Chronic Diseases (2002, Geneva) as its point of reference. Examples illustrate the results of both indicators for a sample of countries in different continents.
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    The FAO parametric versus the IFPRI non-parametric approach to estimating the Prevalence of Undernourishment:
    Issues Relating to the Use of Household Level Data from National Household Surveys
    2007
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    A non-parametric approach suggested by researchers from the International Food Policy Research Institute (IFPRI) for measuring food deprivation (undernourishment) is not an improvement to the current FAO parametric approach. This is mainly due to flaws arising from the use of an inappropriate methodological framework and the reliance on single household data from national household surveys (NHS) that are subject to undesirable sources of variation. FAO’s parametric approach is still th e only choice for estimating the prevalence of undernourishment for the purpose of monitoring hunger reduction at country, regional and global levels. The FAO approach estimates the average food consumption parameter from national food balances such as those from the FBS compiled and prepared by FAO on yearly basis. The FBS is the only data source for global monitoring. The parameter on inequality in food access is derived from NHS data, which are collected less frequently. For estim ating the prevalence of undernourishment at subnational levels and identifying population groups at high risk of food insecurity, countries are applying the FAO method to derive both the average and the inequality parameters from the NHS data.

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