Sticky central limit theorems on open books

Given a probability distribution on an open book (a metric space obtained by gluing a disjoint union of copies of a half-space along their boundary hyperplanes), we define a precise concept of when the Fr\'{e}chet mean (barycenter) is sticky. This nonclassical phenomenon is quantified by a law of large numbers (LLN) stating that the empirical mean eventually almost surely lies on the (codimension $1$ and hence measure $0$) spine that is the glued hyperplane, and a central limit theorem (CLT) stating that the limiting distribution is Gaussian and supported on the spine. We also state versions of the LLN and CLT for the cases where the mean is nonsticky (i.e., not lying on the spine) and partly sticky (i.e., is, on the spine but not sticky).Comment: Published in at http://dx.doi.org/10.1214/12-AAP899 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org

Methods matter: a meta-regression on the determinants of willingness-to-pay studies on biofortified foods

Following the growing evidence on biofortification as a cost-effective micronutrient strategy, various researchers have elicited consumers’ willingness to pay (WTP) for biofortified crops in an effort to justify and determine their adoption. This review presents a meta-analysis of WTP studies on biofortified foods, either developed through conventional breeding or using genetic modification technology. On the basis of 122 estimates from 23 studies (9507 respondents), consumers are generally willing to pay 21.3% more for biofortified crops. Because WTP estimates are often determined through different valuation methods and procedures, a meta-regression was carried out to examine the role of potential determinants. Aside from contextual factors, such as type of food crop, target nutrient, and region(but not breeding technique), various methodological factors significantly influence premiums, including the type of respondent, nature of the study, study environment, participation fee, and provided information. The findings allow researchers to better anticipate potential methodological biases when examining WTP for (biofortified) foods,while it gives policy makers a broad understanding of the potential demand for different biofortified crops in various settings

Ethical and Sociocultural Considerations of Biofortified Crops: Ensuring Value and Sustainability for Public Health

This chapter highlights ethical considerations related to biofortified crops and provides insights on how planned and implemented biofortification interventions can take into account sociocultural aspects to improve public health. A literature review of ethical and sociocultural issues was performed, as well as an analysis of biofortification using a public health ethics framework. The research suggests that biofortification has clear public health goals and has promise toward meeting those goals. Where there is a need for more research is to better understand the impacts of biofortification programs on issues of self-determination, liberties, and food justice, the burdens and nonmaleficence to society can be minimized. This can be done through early involvement of the community in research and programmatic strategies. Distributive justice issues, such as ensuring fair access to seeds and foods for farmers and consumers, ought to be considered

Children's and adolescents' rising animal-source food intakes in 1990-2018 were impacted by age, region, parental education and urbanicity

Animal-source foods (ASF) provide nutrition for children and adolescents physical and cognitive development. Here, we use data from the Global Dietary Database and Bayesian hierarchical models to quantify global, regional and national ASF intakes between 1990 and 2018 by age group across 185 countries, representing 93% of the worlds child population. Mean ASF intake was 1.9 servings per day, representing 16% of children consuming at least three daily servings. Intake was similar between boys and girls, but higher among urban children with educated parents. Consumption varied by age from 0.6 at <1 year to 2.5 servings per day at 1519 years. Between 1990 and 2018, mean ASF intake increased by 0.5 servings per week, with increases in all regions except sub-Saharan Africa. In 2018, total ASF consumption was highest in Russia, Brazil, Mexico and Turkey, and lowest in Uganda, India, Kenya and Bangladesh. These findings can inform policy to address malnutrition through targeted ASF consumption programmes. (c) 2023, The Author(s)

Incident type 2 diabetes attributable to suboptimal diet in 184 countries

The global burden of diet-attributable type 2 diabetes (T2D) is not well established. This risk assessment model estimated T2D incidence among adults attributable to direct and body weight-mediated effects of 11 dietary factors in 184 countries in 1990 and 2018. In 2018, suboptimal intake of these dietary factors was estimated to be attributable to 14.1 million (95% uncertainty interval (UI), 13.814.4 million) incident T2D cases, representing 70.3% (68.871.8%) of new cases globally. Largest T2D burdens were attributable to insufficient whole-grain intake (26.1% (25.027.1%)), excess refined rice and wheat intake (24.6% (22.327.2%)) and excess processed meat intake (20.3% (18.323.5%)). Across regions, highest proportional burdens were in central and eastern Europe and central Asia (85.6% (83.487.7%)) and Latin America and the Caribbean (81.8% (80.183.4%)); and lowest proportional burdens were in South Asia (55.4% (52.160.7%)). Proportions of diet-attributable T2D were generally larger in men than in women and were inversely correlated with age. Diet-attributable T2D was generally larger among urban versus rural residents and higher versus lower educated individuals, except in high-income countries, central and eastern Europe and central Asia, where burdens were larger in rural residents and in lower educated individuals. Compared with 1990, global diet-attributable T2D increased by 2.6 absolute percentage points (8.6 million more cases) in 2018, with variation in these trends by world region and dietary factor. These findings inform nutritional priorities and clinical and public health planning to improve dietary quality and reduce T2D globally. (c) 2023, The Author(s)