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Using non-exceedance probabilities of policy-relevant malaria prevalence thresholds to identify areas of low transmission in Somalia

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Malaria Journal201817:88

https://doi.org/10.1186/s12936-018-2238-0

  • Received: 12 December 2017
  • Accepted: 15 February 2018
  • Published:

Abstract

Background

Countries planning malaria elimination must adapt from sustaining universal control to targeted intervention and surveillance. Decisions to make this transition require interpretable information, including malaria parasite survey data. As transmission declines, observed parasite prevalence becomes highly heterogeneous with most communities reporting estimates close to zero. Absolute estimates of prevalence become hard to interpret as a measure of transmission intensity and suitable statistical methods are required to handle uncertainty of area-wide predictions that are programmatically relevant.

Methods

A spatio-temporal geostatistical binomial model for Plasmodium falciparum prevalence (PfPR) was developed using data from cross-sectional surveys conducted in Somalia in 2005, 2007–2011 and 2014. The fitted model was then used to generate maps of non-exceedance probabilities, i.e. the predictive probability that the region-wide population-weighted average PfPR for children between 2 and 10 years (PfPR2–10) lies below 1 and 5%. A comparison was carried out with the decision-making outcomes from those of standard approaches that ignore uncertainty in prevalence estimates.

Results

By 2010, most regions in Somalia were at least 70% likely to be below 5% PfPR2–10 and, by 2014, 17 regions were below 5% PfPR2–10 with a probability greater than 90%. Larger uncertainty is observed using a threshold of 1%. By 2011, only two regions were more than 90% likely of being < 1% PfPR2–10 and, by 2014, only three regions showed such low level of uncertainty. The use of non-exceedance probabilities indicated that there was weak evidence to classify 10 out of the 18 regions as < 1% in 2014, when a greater than 90% non-exceedance probability was required.

Conclusion

Unlike standard approaches, non-exceedance probabilities of spatially modelled PfPR2–10 allow to quantify uncertainty of prevalence estimates in relation to policy relevant intervention thresholds, providing programmatically relevant metrics to make decisions on transitioning from sustained malaria control to strategies that encompass methods of malaria elimination.

Background

All countries where malaria currently exists are encouraged to accelerate toward elimination [1, 2]. The pathway to elimination requires several important strategic policy decisions, adaptations of control interventions and changing malaria surveillance to become a key intervention [1, 2]. Many countries in Africa continue to support moderate-to-high Plasmodium falciparum transmission and must sustain funding to maintain high levels of vector control coverage, diagnostics and treatment. There are, however, large areas of Africa where the intensity of P. falciparum transmission has always been moderate-to-low or have transitioned to low transmission, in part as a direct result of intervention. These countries must decide how they might adapt previous control strategies that demand maintaining universal coverage to a more nuanced, cost-efficient and efficacious combination of interventions. For example, the inclusion of low dose primaquine to the standard artemisinin-based combination therapy for all clinical cases [3], the possible introduction of mass drug administration, with or without screening at detected foci of transmission [4], and the scaling back of universal coverage of insecticide-treated nets and intermittent presumptive treatment in pregnancy, toward more targeted interventions at foci of transmission [2, 5, 6].

During the Global Malaria Eradication era, recommendations were made to begin planning a pre-elimination stage when community-based parasite prevalence was consistently below 2% [79]. With time this included metrics based on the prevalence of infections in fevers below 5% [10]. The current international guidelines for malaria elimination remain non-specific on the precise criteria for accelerating elimination efforts, but define low transmission areas where community based prevalence is between 1–10% and very low as below 1% [2]. Less than 1% infection prevalence in the population has been identified as a signal for possible migration to an elimination-style approach for national malaria strategies [11]. However, it is recognized that there are areas which have recently transitioned to this state of parasite prevalence < 1%, while prevalence levels in sub-populations remain below a higher threshold (e.g., lower than 5% prevalence) suggesting heterogeneous endemicity. In these areas, immediate withdrawal of vector control is likely to result in rebound. This is distinguished from “low endemic malaria” where the natural state is such that transmission intrinsically occurs at a prevalence of < 1% because ecological conditions cannot support transmission above this value [11, 12].

For countries considering malaria elimination, or selecting sub-national areas to begin the process of elimination, knowing the epidemiological status of areas of low malaria prevalence, < 1% (very low) or < 5% (low), becomes an important pre-requisite. Deciding to change from national universal coverage of vector control and chemoprevention to focused targeting and increasing the sensitivity of surveillance systems comes with costs and benefits. To make definitions of low transmission operationally useful requires innovative analysis of field data to provide sensitive metrics at programmatically useful spatial resolutions to support malaria elimination activities.

Increasingly, model-based geo-statistical methods are applied to predict malaria prevalence across Africa at high spatial resolutions using temporally and spatially sparse empirical data [13, 14]. However, the uncertainty in relation to prevalence thresholds which define different control progress scenarios, has not been applied to national decision-making for malaria elimination. Estimates of prevalence are not sufficient to classify areas into different endemicity levels due to their intrinsic uncertainty. Current approaches used to convey uncertainty in estimates of mean predicted prevalence are based on the use of standard error or quantile (usually those at 0.025 and 0.975 levels) maps. These two approaches can help to visualize the overall dispersion around prevalence estimates but do not provide any information on the uncertainty relating to the exceedance, or not, of prevalence thresholds. This is particularly important in areas of low transmission, where heterogeneity increases and most survey data approach zero infection.

Here, a large collection of P. falciparum survey data from Somalia was used to demonstrate the value of summarizing prediction uncertainty with respect to policy-relevant prevalence thresholds in the sub-national targeting of pre-elimination, and formally introduce the empirical interpretation of uncertainty for decision-making.

Methods

Country and policy context

Somalia is in the Horn of Africa (Fig. 1) and has had a long history of sub-national targeting of vector control [15, 16] in concert with its extremely heterogeneous patterns of malaria transmission [1719]. These ecologically driven heterogeneities have persisted over time [20, 21], however at the launch of the Roll Back Malaria initiative in 2000, Somalia elected to pursue a national strategy of universal coverage of insecticide treated nets (ITN) and presumptive treatment of all fevers with chloroquine [22], changing to artemisinin–sulfadoxine–pyrimethamine combinations in 2006 [23] and changed again in 2016 to artemether–lumefantrine [24]. The third national malaria strategic plan, 2011–2014, proposed a stratified approach emphasising the need for a targeted control effort to attain near zero transmission (parasite prevalence < 1%) in the north while maintaining sustained universal coverage of ITN in the southern regions [25]. The current 5-year malaria strategic plan, launched in 2017, is based on intervention strategies to sustain the prevalence levels below 1% in the north and increasing access to treatment and vector control in the south [26].
Fig. 1
Fig. 1

Somalia, showing three broad health regions of Somaliland (yellow), Puntland (brown) and South Central Zone (green) and the 18 health regions used to allocate federal resources

The country has three operational ministries of health, Somaliland, Puntland and the Federal government [27, 28]. The country is divided into 18 health regions, which serve as the principle sub-national levels of health information aggregation, management and resource allocation [27, 28] (Fig. 1).

Population distribution

The last complete national census was undertaken during the 1970s. Using combinations of land cover, UN agency developed settlement databases and crude population counts at sub-national levels a modelled distribution and density of human settlement was developed for Somalia in 2010 [29]. This has recently been updated using data from a Population Estimation Sample Survey undertaken in 2013–2014 [30] and updated settlement, landcover and modelled approaches to distribution of populations [31]. Data were downloaded from WorldPop (http://www.worldpop.org.uk) at 1 decimal degree/1200 spatial resolution across each of the 18 health regions.

Assembling parasite survey data

Sub-national and national cluster sample surveys of malaria intervention and infection prevalence were undertaken in 2005 [20, 21] and 2014 [32] respectively. Between 2007 and 2011, the Food and Agriculture Organization Food Security and Nutrition Analysis Unit (FAO-FSNAU) in Somalia, included finger prick blood samples for malaria testing using rapid diagnostic tests (RDTs) as part of routine monthly, sample nutritional surveillance across the country [20]. All community-based surveys included the examination of all residents within sampled households. Variations in age-groups per cluster were standardized to a single age group (see below). Each survey location was geo-coded to provide a unique longitude and latitude using a variety of methods and all checked using Google Earth. The final database included 2128 surveys at 1626 unique locations sampled between January 2005 and March 2014. Data were available for every region for each of the survey years; no data were available in 2006, 2012 and 2013. All surveys used RDTs for parasite detection, except in three locations where microscopy was used. For FSANU surveys ethical approval was provided by the Ministry of Health Somalia, Transitional Federal Government of Somalia Republic, Ref: MOH/WC/XA/146./07, dated 02/02/07 For the national survey in 2014 ethical approval was provided by the regional governments of Puntland (MOH/PL/DGO/196/013), Somaliland (MOH/DG/688/25001/13) and South Central Zone (MOHD&PS/DOH/00245/12/2013).

Spatio-temporal geostatistical analysis

A spatio-temporal geostatistical model was developed to borrow strength of information in PfPR between sampled locations and predict risk on a 1 by 1 km regular grid covering the whole of Somalia for every year 2005, 2007–2011 and 2014. Conditionally on a set of spatio-temporal random effects W(x,t), the counts of positive P. falciparum tests are assumed to follow mutually independent binomial distributions with number of trials N, corresponding to number of sampled individuals, and probability of a positive outcome p(x,t) at location x and year t, such that
$$\log\left\{\frac{p(x,t)}{1-p(x,t)}\right\} \; = \; \alpha \; + \; f\left( a \right)\; + \; g\left( A \right) \; + \; W\left( {x,t} \right)$$
(1)
where f(·) and g(·) are linear splines of the minimum and maximum age among the sampled individuals, denoted in the equation above by a and A, respectively. These were then used to standardize to a single age group 2–10 years (PfPR2–10), traditionally used for malaria risk assessments [9, 33], when carrying out predictions, by setting a = 2 and A = 10.

The spatio-temporal analysis of the data underwent several formative stages. First, a spatio-temporal exploratory analysis was undertaken, using a non-spatial binomial mixed model, where W(x,t) is assumed to be Gaussian noise, to assess the presence of residual spatio-temporal correlation in the data, based on the empirical spatio-temporal variogram (ESTV) of the point estimates of W(x,t). In a second step, a spatio-temporal covariance function was specified for the stochastic process W(x,t) [34] and fitted the model using Monte Carlo maximum likelihood. Finally, the validation of the model was carried out. Since the objective was to identify areas where prevalence lies below pre-specified thresholds, the validation approach aimed to test the validity of the adopted spatio-temporal structure for W(x,t). An algorithm was developed to generate 10,000 data-sets under the fitted model and, for each of these, the ESTV was computed as in the first step of exploratory analysis. The resulting 10,000 ESTVs were then used to generate 95% confidence intervals, at each spatial distance of the ESTV, under the assumption that the fitted model generated the data. If the observed ESTV fell within the 95% tolerance bandwidth, the conclusion was that there was no evidence against the adopted spatio-temporal covariance function. All computations were undertaken in the R software environment using the open-source package PrevMap [35]. Further details on the model formulation are provided in section 1.1 of Additional file 1.

Non-exceedance probabilities of regional PfPR2–10

For a given year t and region R, the target for prediction is the regional population-weighted average PfPR2–10, formally defined as
$$p\left( {R,t} \right)\; = \; \frac{\sum_{x \in R} d(x) \hat{p}(x,t) }{\sum_{x \in R} d(x)}$$
where the summations at the numerator and denominator are taken over a 1 km2 regular grid within region R,  \({\hat{p}}(x,t)\) is the predictor of PfPR2–10 from the spatio-temporal geostatistical model and d(x) represents the density population extracted from the WorldPop database. Non-exceedance probabilities (NEPs) are used to summarize the uncertainty in the estimates of regional PfPR2–10 with respect to their likelihood of being below a pre-defined threshold l. More specifically, NEPs are defined as the predictive probability that PfPR2–10 is below l, formally expressed by NEP = Probability{p(R,t) < l|data}. Values of NEP close to 100%, indicate that p(R,t) is highly likely to be below the threshold l; conversely, for values close to 0%, p(R,t) is highly likely to be above l; finally, values around 50% correspond to the case of highest uncertainty, since p(R,t) is with equal probability below or above the threshold l.

Results

The spatio-temporal exploratory analysis showed residual spatio-temporal correlation between data-locations, which mostly manifests within 2 years of time separation between surveys (Additional file 1). A spatio-temporal geostatistical model was fitted as specified by (1) in ‘Spatio-temporal geostatistical analysis’. The empirical spatio-temporal variogram fell within the 95% tolerance intervals generated by the algorithm described in SI-1.4 (Additional file 2). Hence, the conclusion was that the data do not show evidence against the fitted geostatistical model.

Population-weighted mean prediction and standard error maps of PfPR2–10

Between 2005 and 2014, an overall decrease was observed in the mean predictions of the regional population-weighted average PfPR2–10 (Fig. 2). However, two different sets of regions with distinct spatio-temporal patterns can be identified. The southern regions—with Glagadud being the northernmost—show a constantly decreasing trend in predictions but persistently higher than in the rest of Somalia, taking values below 1% only in Galgadud, Banaadir, Shabeellaha Hoose and Dhexe between 2008 and 2011. In the central and northern part of Somalia, the regional predictions show more variation over time, with values above 10% reached only in Togdheer in 2005 and between 5 and 10% in Awdal in 2005 and in Bari in 2008. All of the regions from 2011 onwards show predictions below 5%. In Fig. 2, the spatio-temporal variation in standard errors among the regions largely reflects that in the mean predictions, showing large values in standard errors associated with larger prevalence predictions. This can be noticed by the fact that all regions, except for Bay in 2007, that have predictions above 10% prevalence also have the highest standard errors between 3 and 9%. Additionally, in 2014, with all regions below 5%, the standard errors are between 2 and 3% in Bakool and below 2% in every other region. However, although the standard error maps can allow us to quantify the overall precision in regional estimates of prevalence, they do not provide any information in relation to the uncertainty of exceeding or not specific prevalence thresholds.
Fig. 2
Fig. 2

Mean predictions and standard errors for the regional population-weighted average PfPR2–10 in the years 2005, 2007–2011 and 2014. The mean predictions are grouped into four classes: < 1, 1–5%, 5–10% and > 10%. The standard errors are grouped into six classes: 0.1–0.5%, 0.1–0.5%, 0.5–1%, 1–2%, 2–3% and 3–9%

Non-exceedance probability mapping to detect regions < 1 and < 5% PfPR2–10

The maps of NEPs the regional population-weighted average PfPR2–10 show an overall increase between 2005 and 2014 in the probability that prevalence is below both 1 and 5% (Fig. 3). By 2010, all 18 regions in Somalia were confidently (> 70% likely) below 5% PfPR2–10 and by 2014, there was a greater than 90% probability that 17 regions were below 5% PfPR2–10 (Fig. 3) and between 80 and 90% probability in Bakool. The modelled data suggest that, by 2011, only two regions were more than 90% likely of being < 1% PfPR2–10 and three different regions by 2014 but with most regions of Somaliland and Puntland being more than 70% likely of being < 1% PfPR2–10. In 2014, Bakool, Bay, Hiiran and Shabeellaha Hoose, in the south, were more than 90% likely to be above a 1% threshold, whilst Awdal, Togdheer and Woqooyi Galbeed, in the north, were more than 90% likely to lie below 1%. For the remaining regions NEPs are between 20 and 90%. For any given year, comparison between the two NEPs maps, < 1 and < 5%, highlights that uncertainty with a respect to a threshold is not necessarily reflected in the other. For example, in 2005, Mugug and Nugal, in the central part of Somalia, had a probability between 40 and 60% of lying below 1%, but this becomes at least 90% if the threshold is 5%.
Fig. 3
Fig. 3

Maps of the non-exceedance probabilities for the regional population-weighted average PfPR2–10 in the years 2005, 2007–2011 and 2014, with thresholds l = 1% and l = 5%. In the maps, the values are grouped into ten different classes, as indicated by the legend, from 0 to 10% of to 90–100%

Finally, for 2014, the standard approach was used to classify regions as < 1 or > 1% purely based on the mean predictions of prevalence (Fig. 3) and was compared with two other approaches that use NEPs (Fig. 4). In the first approach (Fig. 4a), a region was classified as < 1% if PfPR2–10 is at least 75% likely to be below 1% or as > 1% if no more than 25% likely to be below 1%. A region was not classified if, instead, NEP is between 25 and 75%. In the second NEP approach (Fig. 4b), the rules for classification were made more stringent, defining a region as < 1% if NEP > 90%, as > 1% if NEP < 10% and as unclassified if 10% < NEP < 90%. The standard method which ignores the uncertainty in prevalence estimates classified all the central and northern regions, including Jubbasa Hoose in the south, as < 1% and all the remaining regions as > 1%. The first NEP approach based on the 25%/75% rule, instead, provided the same classification results for 14 regions but signalled that there was weak evidence (25% < NEP < 75%) to classify Jubbada Dhexe, Shabeellaha Dhexe and Galgadud, in the south, and Sool and Bari, in the north. As expected, the second NEP approach which requires even stronger evidence from the modelled data leaves more regions as unclassified, adding to the previous list two regions in the south and three in the north of Somalia.
Fig. 4
Fig. 4

Maps of the non-exceedance probabilities for the regional population-weighted average PfPR2–10 in 2014, using a l = 1% threshold. Each region is classified as < 25, 25–75% and > 75% in a, and as < 10, 10–90% and > 90% in b

Discussion

Geostatistical methods provide a feasible and statistically principled approach to model spatio-temporally referenced survey data from low-resource settings [36]. One of the main advantages of these methods is that they also allow the estimation of risk at health decision making units and properties of uncertainty. To pursue this objective, the use of non-exceedance probabilities (NEPs) was proposed to quantify uncertainty in regional estimates of PfPR2–10 with respect to policy relevant thresholds. Exceedance probabilities have been previously used to map malaria hotspots over continuous regions [37] but this is the first study that uses NEPs to reliably identify health decision making units with low levels of malaria transmission.

The spatio-temporal geostatistical analysis for Somalia suggested an overall decrease in PfPR2–10 from 2005 to 2014, with all regions, except Bakool, showing more than 90% probability of PfPR2–10 being < 5% by 2014. However, for 2014, the data provided weaker evidence in relation to a 1% threshold. Only the northern regions of Awdal, Woqooyi Galbeed and Togdheer showed a NEP no less than 90%. In the south, Shabeellaha Hoose, Bay, Bakool and Hiiran, instead, had a NEP < 10%, suggesting that these regions are most likely to have a PfPR2–10 between 1 and 5%. However, in all remaining regions where NEPs were between 10 and 90%, inferences on PfPR2–10 cannot be drawn with the same level of precision and, therefore, additional sampling effort would be required in these areas. All these aspects could not be discerned by the use of mean predictions and standard error maps.

The use of NEPS overcomes the limits of standard approaches that either are unsuitable to address policy questions based on thresholds interventions or incorrectly ignore the uncertainty in prevalence estimates. Standard error and quantile maps are an example of summaries of uncertainty that fail to address the specific public health issue: a large standard error or 95% prediction interval for prevalence do not provide any information on the uncertainty of exceeding or not a policy threshold. As a result, one of the most common, but incorrect, approaches is to use maps of prevalence predictions as a stand-alone tool to inform decision making, which can lead to the potential misclassification of health units as a consequence of ignoring uncertainty in prevalence estimates. The proposed approach instead can be used to plan future sampling efforts through the identification of regions where the mapped NEP does not reach acceptable levels (in the analysis two examples were given, where acceptable levels were set to 75 and 90% NEP) in order to make the best use of the available resources. This is particularly important in settings of low prevalence where sampling is often underpowered.

Other approaches that have been used to identify areas where prevalence exceeds a predefined threshold are based on excursion sets [38]. However, these are not defined when the target for prediction is an aerial average and have two main drawbacks with respect to NEPs: their definition is mathematically more complex and, therefore, more difficult to understand for policy-makers; they are exceedingly more conservatives than NEPs [36], i.e. areas with values of NEPs close to 100% might still be excluded from the resulting excursion set.

As malaria transmission in some countries declines, several have identified sub-national areas for malaria elimination, for example Djibouti, Sudan, Yemen, Pakistan and Afghanistan. In many settings, routine health information on fever malaria test positivity rates remains incomplete and rarely validated. Consequently, decisions are currently made on periodic national household sample survey data of infection prevalence. These surveys are often inadequately powered to detect very low levels of heterogeneous transmission. Nevertheless, model based geostatistical methods allows an interpolation of imperfect data in space and in time to provide properties of risk at administrative units required to make policy relevant decisions. However, this is only useful when decision makers can reliably interpret the level of uncertainty that underlies the predictions. The approach presented here provides a means to judge the probability of a health region falling in a category of risk that might define a transition from one strategic approach to another. This application of statistical modelling of uncertainty by exceedance probability has a wider value for other rare infections for which decisions between sustaining mass control and focused elimination are required sub-nationally. Additionally, the use of NEPs is not restricted to prevalence but can be extended to any disease risk metric that is estimated using a model-based approach. Neglected tropical diseases provide many examples where current intervention policies are defined in terms of exceedance of infection thresholds [3941] and where the proposed approach in this paper would find a natural application.

Declarations

Authors’ contributions

EG designed the analysis and produced the first draft of the manuscript. AAO, AHH, AAA, JGHA and AMN all contributed to data assembly and national policy context. FI provided support to the NMCP participation in the project. AMN and RWS provided the scientific and broader conceptual mentorship and revised the manuscript. All authors read and approved the final manuscript.

Acknowledgements

The authors are grateful to Peter Diggle, Lancaster University, for discussions on the methods. RWS is grateful for early discussions with Zamani Ghasem, WHO EMRO, on the need for policy and statistically relevant threshold analysis for malaria elimination.

Competing interests

The authors declare that they have no competing interests.

Data availability statement

All relevant data are available in the manuscript and its Additional files.

Ethics approval and consent to participate

Not applicable.

Funding

EG hold an MRC Strategic Skills Fellowship in Biostatistics (MR/M015297/1). AMN was supported by the Wellcome Trust as an Intermediate Fellow (# 095127); RWS is a Wellcome Trust Principal Fellow (# 079080 & # 103602); AMN and RWS also acknowledge support from the Wellcome Trust to the Kenyan Major Overseas Programme (# 092654). RWS is grateful to support provided by the UK’s Department for International Development as part of a project Strengthening the Use of Data for Malaria Decision Making in Africa (DFID Programme Code # 203155). The funders had no role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Authors’ Affiliations

(1)
Lancaster Medical School, Lancaster University, Lancaster, UK
(2)
National Malaria Control Programme, Garowe, Puntland, Somalia
(3)
Ministry of Health, Hargeisa, Somaliland, Somalia
(4)
WHO Country Office, Hargeisa, Somaliland, Somalia
(5)
Population and Health Theme, Kenya Medical Research Institute-Wellcome Trust Research Programme, Nairobi, Kenya
(6)
Centre for Tropical Medicine and Global Health, Nuffield Department of Clinical Medicine, University of Oxford, Oxford, UK

References

  1. WHO. Global technical strategy for malaria 2016–2030. Geneva: World Health Organization; 2015. (http://apps.who.int/iris/bitstream/10665/176712/1/9789241564991_eng.pdf). Accessed 14 April 2016.
  2. WHO-Global Malaria Programme. A framework for malaria elimination. Geneva: World Health Organization; 2017. http://www.who.int/malaria/publications/atoz/9789241511988/en/.
  3. WHO. Guidelines for the treatment of malaria. Third edition. Geneva: World Health Organization; 2015. http://apps.who.int/iris/bitstream/10665/162441/1/9789241549127_eng.pdf?ua=1&ua=1. Accessed 14 April 2017.
  4. WHO. The role of mass drug administration, mass screening and treatment, and focal screening and treatment for malaria. Recommendations. Geneva: World Health Organization; 2015 http://www.who.int/malaria/publications/atoz/role-of-mda-formalaria.pdf?ua=1. Accessed 14 April 2017.
  5. Carter R, Mendis KN, Roberts D. Spatial targeting of interventions against malaria. Bull World Health Organ. 2000;78:1401–11.PubMedPubMed CentralGoogle Scholar
  6. Moonen B, Cohen JM, Snow RW, Slutsker L, Drakeley C, Smith DL, et al. Operational strategies to achieve and maintain malaria elimination. Lancet. 2010;376:1592–603.View ArticlePubMedPubMed CentralGoogle Scholar
  7. Macdonald G, Göeckel GW. The malaria parasite rate and interruption of transmission. Bull World Health Organ. 1964;31:365–77.PubMedPubMed CentralGoogle Scholar
  8. Pampana E. A textbook on malaria eradication. Oxford: Oxford University Press; 1969.Google Scholar
  9. Hay SI, Smith DL, Snow RW. Measuring malaria endemicity from intense to interrupted transmission. Lancet Infect Dis. 2008;8:369–78.View ArticlePubMedPubMed CentralGoogle Scholar
  10. WHO. Malaria elimination. A field manual for low and moderate endemic countries. Geneva: World Health Organization; 2007. http://apps.who.int/iris/bitstream/10665/43796/1/9789241596084_eng.pdf. Accessed 14 April 2017.
  11. Cohen JM, Moonen B, Snow RW, Smith DL. How absolute is zero? An evaluation of historical and current definitions of malaria elimination. Malar J. 2010;9:213.View ArticlePubMedPubMed CentralGoogle Scholar
  12. Noor AM, Alegana VA, Patil AP, Snow RW. Predicting the unmet need for biologically targeted coverage of insecticide treated nets in Kenya. Am J Trop Med Hyg. 2010;83:854–60.View ArticlePubMedPubMed CentralGoogle Scholar
  13. Noor AM, Kinyoki DK, Mundia CW, Kabaria CW, Wambua JM, Alegana VA, et al. The changing risk of Plasmodium falciparum malaria infection in Africa: 2000–10: a spatial and temporal analysis of transmission intensity. Lancet. 2014;383:1739–47.View ArticlePubMedPubMed CentralGoogle Scholar
  14. Bhatt S, Weiss DJ, Cameron E, Bisanzio D, Mappin B, Dalrymple U, et al. The effect of malaria control on Plasmodium falciparum in Africa between 2000 and 2015. Nature. 2015;526:207–11.View ArticlePubMedPubMed CentralGoogle Scholar
  15. Moise R. Il problema della malaria in Somalia e l’impostazione di una campagna di lotta. Rivista di Malariologia. 1951;30:229–56.PubMedGoogle Scholar
  16. Rishikesh N. Malaria survey and pre-eradication project. Somaliland Government, UNICEF and WHO. Geneva: World Health Organization Archives; 1960.Google Scholar
  17. Massa F. [Malaria Somalia] (in Italian). Giornale di Medicina Militaire. 1936;14:643–51.Google Scholar
  18. Cicchitto AM. Ricerche sugl’ indici malarici-splenico e parassitario nella Somalia Italiana. Riv Malariol. 1938;17:396–410.Google Scholar
  19. Wilson DB. Malaria in British Somaliland. East Afr Med J. 1949;26:283–91.Google Scholar
  20. Noor AM, Clements ACA, Gething PW, Moloney G, Borle M, Shewshuk T, et al. Spatial prediction of Plasmodium falciparum prevalence in Somalia. Malar J. 2008;7:159.View ArticlePubMedPubMed CentralGoogle Scholar
  21. Noor AM, Alegana VA, Patil AP, Moloney G, Borle M, Ahmed F, et al. Mapping the receptivity of malaria risk to plan the future of control in Somalia. BMJ Open. 2012;2:e001160.View ArticlePubMedPubMed CentralGoogle Scholar
  22. Somali Aid Coordinating Body/Health Sector Committee. Proposal to the GFTAM, malaria component, July 2002.Google Scholar
  23. Somali Aid Coordinating Body. Malaria diagnosis and treatment guidelines for Somalia, March 2006. Nairobi.Google Scholar
  24. Federal Ministry of Health, Somalia. Guidelines for the diagnosis and treatment of malaria in Somalia. Mogadishu, Somalia; 2016.Google Scholar
  25. National Malaria Control Programmes (NMCP). Somalia national strategic plan for malaria 2011–2015. Nairobi, Kenya; October 2009.Google Scholar
  26. Federal Ministry of Health, Somalia. Somalia national malaria strategic plan 2017–2020: maximising efforts to control and eliminate malaria. Developed and Endorsed by the NMCPs/MoH of The Federal Government of Somalia, Puntland & Somaliland; 2017.Google Scholar
  27. World Health Organization. Country cooperation strategy for WHO and Somalia 2010–2014. 2011; Accessed 14 April 2017.Google Scholar
  28. Ministry of Human Development and Public Services. Health Sector Strategic Plan 2013–2016. 2012; http://tinyurl.com/qeq9hbu. Accessed 14 April 2017.
  29. Linard C, Alegana VA, Noor AM, Snow RW, Tatem AJ. A high resolution spatial population database of Somalia for disease risk mapping. Int J Health Geogr. 2010;9:e45.View ArticleGoogle Scholar
  30. Population Estimation Survey 2014 for the 18 Pre-War Regions of Somalia, Data for a Better Tomorrow: PESS 2014 (October 2014), Federal Public of Somalia and UNFPA.Google Scholar
  31. Stevens FR, Gaughan AE, Linard C, Tatem AJ. Disaggregating census data for population mapping using random forests with remotely-sensed and ancillary data. PLoS One. 2015;10:e0107042.View ArticlePubMedPubMed CentralGoogle Scholar
  32. National Malaria Control Programmes (NMCP). The first malaria indicator survey in Somalia, 2014. Ministries of Health of the Federal Government of Somalia, Puntland and Somaliland; August 2014.Google Scholar
  33. Metselaar D, van Thiel PH. Classification of malaria. Trop Geogr Med. 1959;11:157–61.Google Scholar
  34. Gneiting T. Non-spearable, stationary covariance functions for space-time data. J Am Stat Assoc. 2002;97:590–600.View ArticleGoogle Scholar
  35. Giorgi E, Diggle PJ. PrevMap: an R package for prevalence mapping. J Stat Software. 2017;78:1–29.View ArticleGoogle Scholar
  36. Diggle PJ, Giorgi E. Model-based geostatistics for prevalence mapping in low-resource settings. J Am Stat Assoc. 2016;111:1096–120.View ArticleGoogle Scholar
  37. Stresman G, Giorgi E, Baidjoe A, Knight P, Odongo W, Owaga C, et al. Impact of metric, sample size and geostatistical methods on determining boundaries of hotspots of malaria. Sci Rep. 2017;7:45849.View ArticlePubMedPubMed CentralGoogle Scholar
  38. Bolin D, Lindgren F. Excursion and contour uncertainty regions for latent Gaussian models. J R Stat Soc B. 2015;77:85–106.View ArticleGoogle Scholar
  39. Diggle PJ, Thomson MC, Christensen OF, Rowlingson B, Obsomer V, Gardon J, et al. Spatial modelling and the prediction of Loa loa risk: decision making under uncertainty. Ann Trop Med Parasitol. 2007;101:499–509.View ArticlePubMedGoogle Scholar
  40. Pullan RL, Gething PW, Smith JL, Mwandawiro CS, Sturrock HJW, Gitonga CW, et al. Spatial modelling of soil-transmitted helminth infections in Kenya: a disease control planning tool. PLoS Negl Trop Dis. 2011;5:e958.View ArticlePubMedPubMed CentralGoogle Scholar
  41. Zouré HGM, Noma M, Tekle AH, Amazigo UV, Diggle PJ, Giorgi E, Remme JHF. The geographic distribution of onchocerciasis in the 20 participating countries of the African programme for onchocerciasis control. Parasit Vectors. 2014;7:326.View ArticlePubMedPubMed CentralGoogle Scholar

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