Elsevier

Computers & Operations Research

Volume 40, Issue 9, September 2013, Pages 2229-2240
Computers & Operations Research

Selecting malaria interventions: A top-down approach

https://doi.org/10.1016/j.cor.2011.07.023Get rights and content

Abstract

Malaria continues to be a great burden on both morbidity and mortality as well as economic development across the world. In highly endemic areas, such as Nigeria, malaria can claim hundreds of thousands of lives and millions of dollars yearly. Typically, when selecting intervention strategies to control malaria, research is focused on the cost-effectiveness and general applicability of individual interventions. In separate studies, great care is taken to develop high-fidelity models of malaria's economic and morbidity/mortality burden. In this paper, we take a top-down approach to selecting malaria intervention strategies. Instead of studying each element of the problem separately, we combine models for intervention cost-effectiveness, disease burden, and intervention delivery to create a single large-scale geographic optimization. We illustrate our top-down approach with a case study of malaria in Nigeria. Our optimization produces detailed geographic intervention plans, identifies key budget values and specifies the locations of the supply distribution centers.

Introduction

Selecting malaria intervention strategies is a complex problem, but one that is highly motivated by the disease's great burden on economic development and human morbidity and mortality. Most studies take a bottom-up approach in addressing the problem. They concentrate on a single subproblem in great detail, such as modeling the economic burden of malaria, or studying the cost-effectiveness of a single intervention. In this study, we take a top-down approach, by combining the subproblems into a single large-scale geographic optimization for selecting malaria interventions.

At a high level, our optimization takes as input (1) data on available intervention strategies (2) ecological and demographic data and (3) an intervention budget constraint. As output, the optimization delivers the location of the supply distribution centers and a geographic plan of intervention delivery that minimizes the disease's impact, subject to the budget constraint. The optimization can be used to construct an efficient frontier, depicting the achievable morbidity or mortality at each budget value.

Geographic epidemiological intervention models have been studied in the past. Most of these models consider a small number of intervention strategies (typically less than 5), e.g., contact tracing and quarantine, and then simulate their effect across the entire geographic region [1], [2], [3], [4]. Large-scale intervention optimization, where a combinatorially large set of intervention strategies is considered, is an active area of research. Recently, large-scale intervention optimization has addressed the distribution of a limited stockpile of vaccines to halt pandemic influenza [5], however that study is not geographically targeted. Little work exists in the area of geographically targeted, large-scale intervention optimization [6]; despite explicit calls for the computation of geographically targeted malaria interventions [7]. This paper's main contribution is a novel large-scale, geographically targeted malaria intervention decision support tool, derived using a top-down approach. The output of the optimization model is a fine-grained geographic intervention plan, specifying a set of actions for each geographic sub-region.

While our top-down optimization approach is able to produce detailed geographic intervention plans, it should be regarded simply as a decision support tool. The complexity and main contribution of a top-down approach comes in combining subproblems to produce the final intervention decision. The drawback of a top-down approach is that each subproblem may be considered in less detail than a typical bottom-up study dedicated solely to an individual subproblem. Our optimization attempts to capture as many aspects of the intervention selection problem as is both (1) computationally tractable and (2) reasonably quantifiable. No model or optimization can capture all the salient factors for a problem as complex as malaria, in which even cultural factors may be definitive in determining the effectiveness of an intervention strategy. Expert knowledge is critical to decision-making; the role of decision support tools is to make the task of decision makers easier by providing quantitative data on the effects of various strategies.

We structure the rest of the paper as follows. First, in Section 2 we outline the structure of our top-down approach. In the Section 3, we cover in detail the execution of the approach for our case study of malaria in Nigeria. Finally, in Section 4, we draw some conclusions.

Section snippets

Materials and methods

In this section we describe our top-down approach in detail. In Section 2.1, we present the stages, i.e., the building blocks of our approach. In Section 2.2, we focus on the mathematical methodology at the core of the optimization.

Results: a case study of malaria in Nigeria

We illustrate the top-down approach by considering malaria intervention in Nigeria. In each of the following subsections, we describe the stages of the approach as applied to this case study.

Discussion

We propose a top-down approach for suggesting disease intervention strategies across a given geographic region. A top-down approach combines models for many subproblems into one. In contrast, most studies take a bottom-up approach, where a detailed model for a single subproblem is developed. The benefit of a top-down approach is that it results in a decision support tool. The drawback of a top-down approach is that to maintain tractability, often, the models for each of the individual

Acknowledgments

This work has been supported by the National Science Foundation through grants CMMI-0653916 and CMMI-0800676 and the Defense Threat Reduction Agency through grant HDTRA1-08-1-0029.

References (66)

  • S. Riley et al.

    Smallpox transmission and control: spatial dynamics in Great Britain

    PNAS

    (2006)
  • J. Medlock et al.

    Optimizing influenza vaccine distribution

    Science

    (2009)
  • N.B. Dimitrov et al.

    Optimizing tactics for use of the U.S. antiviral strategic national stockpile for pandemic influenza

    PLoS ONE

    (2011)
  • R. Carter et al.

    Spatial targeting of interventions against malaria

    Bull World Health Organ

    (2000)
  • The Cochrane Collaboration. The Cochrane Library: A Product of the Cochrane Collaboration, maintained by Wiley...
  • A. Moffett et al.

    Malaria in Africa: vector species niche models and relative risk maps

    PLoS ONE

    (2007)
  • W.D. Rowe

    An anatomy of risk

    (1988)
  • D. Pfeiffer et al.

    Spatial analysis in epidemiology

    (2008)
  • A.T. Peterson

    Biogeography of diseases: a framework for analysis

    Naturwissenschaften

    (2008)
  • N.B. Dimitrov et al.

    Combinatorial design of a stochastic Markov decision process

  • M.L. Puterman

    Markov decision processes: discrete stochastic dynamic programming

    (1994)
  • E.A. Feinberg et al.

    Constrained Markov decision models with weighted discounted rewards

    Math Oper Res

    (1995)
  • K.W. Ross

    Randomized and past dependent policies for Markov decision processes with finite action set

    Oper Res

    (1989)
  • Nigerian Federal Ministry of Health. National Malaria Control Programme. Strategic plan 2009-2013: A Road Map for...
  • L.C.M. Kallenberg

    Survey of linear programs for standard and nonstandard Markovian control problems. Part I: theory

    Math Methods Oper Res

    (1994)
  • R.J. Hijmans et al.

    Very high resolution interpolated climate surfaces for global land areas

    Int J Climatol

    (2005)
  • United States Geological Survey. HYDRO1k Elevation Derivative Database....
  • Center for International Earth Science Information Network. Columbia University and Centro Internacional de Agricultura...
  • Nigeria. Summary country profile for HIV-AIDS treatment scale up. WHO Report;...
  • National Population Commission Federal Republic of Nigeria. ORC Media, Calverton: Nigeria Demographic and Health...
  • A. Kiszewski et al.

    Estimated global resources needed to attain international malaria control goals

    Bull World Health Organ

    (2007)
  • Kiszewski A, Johns B, Schapira A, Delacollette C, Crowell V, Tessa TT, Ameneshewa B, Teklehaimanot A, Nafo-Traoré F....
  • K. Marsh et al.

    Indicators of life-threatening malaria in African children

    N Engl J Med

    (1995)
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