24 Feb 2011: Bejon P, Williams TN, Liljander A, Noor AM, Wambua J, et al. (2011) Correction: Stable and Unstable Malaria Hotspots in Longitudinal Cohort Studies in Kenya. PLOS Medicine 8(2): 10.1371/annotation/592709c8-8f86-4f40-968b-1e7e051ab491. https://doi.org/10.1371/annotation/592709c8-8f86-4f40-968b-1e7e051ab491 View correction
Infectious diseases often demonstrate heterogeneity of transmission among host populations. This heterogeneity reduces the efficacy of control strategies, but also implies that focusing control strategies on “hotspots” of transmission could be highly effective.
Methods and Findings
In order to identify hotspots of malaria transmission, we analysed longitudinal data on febrile malaria episodes, asymptomatic parasitaemia, and antibody titres over 12 y from 256 homesteads in three study areas in Kilifi District on the Kenyan coast. We examined heterogeneity by homestead, and identified groups of homesteads that formed hotspots using a spatial scan statistic. Two types of statistically significant hotspots were detected; stable hotspots of asymptomatic parasitaemia and unstable hotspots of febrile malaria. The stable hotspots were associated with higher average AMA-1 antibody titres than the unstable clusters (optical density [OD] = 1.24, 95% confidence interval [CI] 1.02–1.47 versus OD = 1.1, 95% CI 0.88–1.33) and lower mean ages of febrile malaria episodes (5.8 y, 95% CI 5.6–6.0 versus 5.91 y, 95% CI 5.7–6.1). A falling gradient of febrile malaria incidence was identified in the penumbrae of both hotspots. Hotspots were associated with AMA-1 titres, but not seroconversion rates. In order to target control measures, homesteads at risk of febrile malaria could be predicted by identifying the 20% of homesteads that experienced an episode of febrile malaria during one month in the dry season. That 20% subsequently experienced 65% of all febrile malaria episodes during the following year. A definition based on remote sensing data was 81% sensitive and 63% specific for the stable hotspots of asymptomatic malaria.
Hotspots of asymptomatic parasitaemia are stable over time, but hotspots of febrile malaria are unstable. This finding may be because immunity offsets the high rate of febrile malaria that might otherwise result in stable hotspots, whereas unstable hotspots necessarily affect a population with less prior exposure to malaria.
Citation: Bejon P, Williams TN, Liljander A, Noor AM, Wambua J, Ogada E, et al. (2010) Stable and Unstable Malaria Hotspots in Longitudinal Cohort Studies in Kenya. PLoS Med 7(7): e1000304. https://doi.org/10.1371/journal.pmed.1000304
Academic Editor: Thomas A. Smith, Swiss Tropical Institute, Switzerland
Received: March 22, 2010; Accepted: May 27, 2010; Published: July 6, 2010
Copyright: © 2010 Bejon et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Funding: The study was supported by the Wellcome Trust and by the Kenya Medical Research Institute (KEMRI). PB is supported by the Biomedical Research Centre in Oxford. KM, TNW, and FO are supported by Wellcome Trust. SIH is funded by a Senior Research Fellowship from the Wellcome Trust (#079091). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Competing interests: The authors have declared that no competing interests exist.
Abbreviations: CI, confidence interval; cpy, child per year; ITN, insecticide-treated net; OD, optical density; RR, rate ratio
Malaria, a mosquito-borne parasitic disease, is a major global public-health problem. About half the world's population is at risk of malaria and about one million people (mainly children living in sub-Saharan Africa) die each year from the disease. Malaria is transmitted to people through the bite of an infected mosquito. Initially, the parasite replicates inside human liver cells but, about a week after infection, these cells release “merozoites” (one of the life-stages of the parasite), which invade red blood cells. Here, the merozoites replicate rapidly before bursting out after 2–3 days and infecting more red blood cells. The cyclical and massive increase in parasitemia (parasites in the bloodstream) that results from this pattern of replication is responsible for malaria's recurring fevers and can cause life-threatening organ damage and anemia (a lack of red blood cells). Malaria can be prevented by controlling the mosquitoes that spread the parasite and by avoiding mosquito bites. Effective treatment with antimalarial drugs can also reduce malaria transmission.
Why Was This Study Done?
Like many other infectious diseases, the transmission of malaria is heterogeneous. That is, even in places where malaria is always present, there are “hotspots” of transmission, areas where the risk of catching malaria is particularly high. The existence of these hotspots, which are caused by a combination of genetic factors (for example, host susceptibility to infection) and environmental factors (for example, distance from mosquito breeding sites), reduces the efficacy of control strategies. However, mathematical models suggest that focusing control strategies on transmission hotspots might be an effective way to reduce overall malaria transmission. Efforts have been made to identify such hotspots using environmental data collected by satellites but with limited success. In this study, therefore, the researchers investigate the heterogeneity of malaria transmission in the Kilifi District of Kenya over time by analyzing data collected over up to 12 years (“longitudinal” data) on malaria episodes and parasitemia in three groups (cohorts) of children living in 256 homesteads.
What Did the Researchers Do and Find?
The researchers identified febrile malaria episodes in the homesteads by taking blood from children with fever (febrile children) to analyze for parasitemia. They took blood once a year from all the study participants just before the rainy season (when malaria peaks) to look for symptom-free parasitemia and they also looked for antibodies (proteins made by the immune system that fight disease) against malaria parasites in the blood of the participants. They then used a “spatial scan statistic” to look for heterogeneity of transmission and to identify transmission hotspots (groups of homesteads where the observed incidence of malaria or parasitemia was higher than would be expected if cases were evenly distributed). The researchers identified two types of hotspots—stable hotspots of symptom-free parasitemia that were still hotspots several years later and unstable hotspots of febrile malaria that rarely stayed in the same place for more than a year or two. Children living in the stable hotspots had slightly higher average amounts of antimalaria antibodies and developed malaria at a slightly lower average age than children living in the unstable hotspots.
What Do These Findings Mean?
These findings show that in Kilifi District, Kenya, hotspots of symptom-free parasitemia are stable over time but hotspots of febrile malaria are unstable. The researchers suggest that rapid acquisition of immunity in the stable hotspots reduces the occurrence of febrile malaria whereas in the unstable hotspots there is a high incidence of febrile malaria because lack of previous exposure to the parasite means there is a low level of immunity. Targeted strategies for malaria control should target both types of hotspots, suggest the researchers. Stable hotspots of symptom-free parasitemia (which can be identified by parasite or antibody surveys or by remote environmental sensing) should be targeted because mosquito dispersion probably increases malaria transmission rates near these hotspots. Unstable hotspots of febrile disease should be targeted to reduce both the burden of disease and transmission in the wider community. Unstable hotspots of febrile malaria, the researchers suggest, could be efficiently identified in Kilifi District (and maybe elsewhere) by determining which homesteads had malaria outbreaks during September (part of the dry season) one year and then focusing control interventions on these homesteads the next year.
Please access these Web sites via the online version of this summary at http://dx.doi.org/10.1371/journal.pmed.1000304.
- Information is available from the World Health Organization on malaria (in several languages)
- The US Centers for Disease Control and Prevention provide information on malaria (in English and Spanish)
- MedlinePlus provides links to additional information on malaria (in English and Spanish)
- Information is available from the Roll Back Malaria Partnership on the global control of malaria (in English and French) and on malaria in Kenya
Many infectious disease show marked heterogeneity of transmission . Mathematical models predict that this heterogeneity reduces the efficacy of disease control strategies , and intensifying control measures on foci of high transmission is predicted to be very effective in reducing overall transmission . Marked spatial heterogeneity of malaria transmission on the household level is consistently detected when analysed –, and results from both genetic and environmental factors ,. It is unclear how stable hotspots are in longitudinal data.
Malaria risk is related to environmental factors  including altitude , cultivation practices , urbanization , and distance from bodies of water . However, ecological analyses to guide malaria control have been limited by the following factors: the overall models are complex –, the same ecological feature may not have a consistent effect in different settings ,, and there is marked residual variation in malaria risk despite models with detailed ecological data . Furthermore, the resolution of multitemporal remote sensing satellite data (i.e. data based on more than a single snap-shot) for environmental monitoring is rarely finer than 0.5–1 km .
Since vector dispersion occurs on average over 0.5–1 km distances –, this is the scale at which “hotspots” of transmission need to be identified in order to impact overall transmission. Malaria episodes have been found to cluster at this scale to form hotspots in high resolution geo-spatial analyses in Mali , Uganda , Ethiopia , and the highlands of Kenya ,.
Here, we have conducted an analysis of malaria episodes and parasitaemia over 12 y, a substantially longer time period than has been reported previously, across three different cohorts without conspicuous variations in geography, such as nearby water bodies. We examine febrile episodes, asymptomatic parasitaemia, serological markers of exposure, environmental remote sensing data, and molecular studies of parasite clones to describe the spatial and temporal limits of hotspots, and to examine whether heterogeneity can be predicted.
The approval for human participation in these cohorts was given by Kenya Medical Research Institute Scientific committee and National Review and Ethical Committee of Kenya Medical Research Institute, and was conducted according to the principles of the declaration of Helsinki.
Surveillance for Malaria
The cohorts under surveillance for malaria episodes were located in Chonyi, Ngerenya, and Junju sublocations of Kilifi District, on the coast of Kenya between January 1998 and June 2009 (Figure 1). Concurrent entomological studies and parasite prevalence rates suggest that the transmission intensity is higher in Junju and Chonyi than in Ngerenya ,, but transmission has been falling throughout the period of study .
The field methods used to identify episodes of febrile malaria and asymptomatic parasitaemia have previously been described ,. Weekly active surveillance was undertaken, and children with fever had blood slides for malaria parasites. In Chonyi and Ngerenya, children with either subjective (i.e., reported) or objective fever (temperature ≥37.5°C) had blood smears performed for estimating the parasite density. In Junju blood smears were done only on children with an objective fever, but children with subjective fever were seen again 6–12 h later, and the temperature measurement repeated. Blood smears were made if objective fever was confirmed at this measurement.
The parents of the children in Chonyi and Ngerenya were instructed to report to Kilifi District Hospital 20 km away if the child had any symptoms of disease at any time (and reimbursed for travel expenses), and in Junju trained field workers were available at all times in the villages for passive surveillance. Antimalarials were supplied for proven episodes of malaria by the study team in accordance with government of Kenya guidelines; this was sulfadoxine-pyrimethamine until 2004, and co-artemether thereafter. Study participants may have used private clinics or bought antimalarials without the study team's knowledge, but given the availability of free treatment this was probably infrequent.
Surveys for asymptomatic parasitaemia were undertaken once yearly, immediately before the rainy season. All individuals recruited to the study were asked to attend for blood sampling, and microscopy results were available for 70%–88% of participants for each survey.
The Geographic Positioning System coordinates from the Kilifi Demographic Surveillance Survey were linked to each homestead in the study. In Ngerenya and Chonyi, all the residents at individual homesteads were recruited, but in Junju only children under 8 y of age were recruited. The homesteads in Ngerenya and Junju were evenly spaced throughout the study location, but in Chonyi the homesteads were distributed along a central road through the study area. Children born in the study homesteads during the period of monitoring were recruited, and so the average age of the cohort did not increase over time (Table 1).
Definition of Febrile Malaria Incidence and Parasite Rates
Episodes of febrile malaria were determined using a parasite density threshold of >2,500/µl . Episodes of febrile malaria were censored for 21 d after the last episode. The incidence per homestead per year was calculated by episodes of febrile malaria per homestead divided by the number of children who were <15 y old and by the number of years that participants were monitored. The parasite rate per homestead was calculated as the percentage of blood films positive for Plasmodium falciparum malaria from afebrile participants at scheduled blood sampling, including both adults and children.
Analysis of Hotspots
The SaTScan software  was used to calculate the spatial scan statistic . The spatial scan statistic uses a scanning window that moves across space. For each location and size of the window, the number of observed and expected cases is counted, and the window with the greatest ratio of observed to expected cases is noted. The numbers of expected cases are calculated by considering an even distribution of cases across the population. The statistical significance of this cluster (or “hotspot”) is then evaluated taking into account the multiple tests for the many potential cluster locations and sizes evaluated . The scan statistic was then calculated for two types of cluster; to identify clusters (or “hotspots”) of febrile disease, using a discrete Poisson model; and to identify clusters (or “hotspots”) of asymptomatic parasitaemia, using a Bernoulli model, where cases were participants with parasitaemia and controls were participants without parasitaemia.
A spatial-only model was repeated each year rather than a temporal-spatial model for the entire period of monitoring for three reasons. First, the frequent seasonal peaks in transmission could only be adjusted for after assuming their uniformity across the study area. Secondly, the size of the database (11 y and 256 homesteads) made secondary clusters (or “hotspots”) very likely, and the option of excluding primary clusters to analyse for secondary clusters is not available for temporal-spatial analyses, but is validated for spatial-only analyses . Thirdly, we could then compare hotspots of febrile disease on the basis of each year of monitoring with hotspots of asymptomatic parasitaemia and antibody titres measured on annual cross-sectional surveys.
The rate ratio (RR) was defined as the ratio of observed to expected cases, as produced in the SaTScan output. The test of significance was based on a Poisson generalized likelihood ratio test, using 9999 replications for a Monte Carlo inference. In order to run scans, the maximum cluster/hotspot size was set at 30% of the population, and the inference level for significance was set at 0.05 for primary clusters/hotspots (i.e., the window found with the highest RR). After removing the primary cluster/hotspot, the scan statistic was recalculated for the remaining locations in order to identify secondary clusters/hotspots. This calculation was only done where strongly significant (p<0.001) primary clusters/hotspots were identified.
A modified Poisson regression  was used to examine the relationships between clustering in different years, which were determined by scoring each homestead 0 or 1 for its absence or presence in any cluster under each condition.
MSP-2 Genotyping of P. falciparum Infection
Amplification of the merozoite surface protein 2 (MSP-2) domain following capillary electrophoresis was used to accurately measure fragment size . In the primary PCR reaction, the entire polymorphic region of MSP-2 (block 3) was amplified, and in the following nested reactions the allelic types FC27 and IC were amplified separately. In the capillary electrophoresis-based method fluorescently labelled oligonucleotide primers were used in the nested reaction, and fragment analysis was performed in a 96-well format on a 3130xl DNA sequencer and GeneMapper Software version 4.0 (both Applied Biosystems). A 150 relative fluorescent unit (rfu) cut-off was used. Discrete clones were described by the allelic type and PCR product fragment size, aggregated over three base pair intervals (i.e., considered within the error of the method rather than the genetic structure of the alleles). Clones that were present in less than 3% of samples were described as “other.”
Antibody titres against recombinant antigens of P. falciparum (3D7) were measured in a standard ELISA as reported in previous studies in Chonyi – and in Ngerenya ,. Antibody titres were not available from Junju. The recombinant antigen AMA-1 was provided by Sheetij Dutta and David Lanar , and recombinant MSP-2 was provided by Dave Conway and Spencer Polley using a plasmid provided by Jana McBride and David Cavanagh . The optical density (OD) reading was used as a proxy for antibody concentration, and seropositivity was determined by an OD reading above the mean response plus three standard deviations for nonexposed control sera.
MODIS is a sensor on board two NASA satellites. MODIS-derived temperature and reflectance layers were acquired for the years 2001 through 2008 . A set of four channels; middle infra-red reflectance, daytime land surface temperature, night-time land surface temperature, and the enhanced vegetation index (EVI) were then processed by a temporal Fourier algorithm to achieve temporal ordination of the data time series while preserving important aspects of seasonal variation in the measures . Each channel was then described by the following parameters: mean, minimum and maximum, and the amplitude, phase and variance of annual and bi-annual cycles decomposed from the data. A multivariable logistic regression model to predict hotspots using these parameters was developed from the best fit parameter in each channel, with subsequent exclusion of nonsignificant parameters (p>0.05). The most significant parameters from each channel were then combined in a final multivariable logistic regression model, with further exclusion of nonsignificant parameters (p>0.05). There are approximately 120 MODIS picture elements (pixels) widths/heights to each degree of latitude/longitude at the equator (i.e., approximately 1 km squared per pixel), so several homesteads are included in each pixel. The logistic regression models were therefore adjusted to take account of the nonindependence of observations by using the sandwich estimator to group observations by pixel . The coefficients and constant from the final model (i.e., with p<0.05) were then used with the observed remote sensing data, to derive a predicted probability of a hotspot, which was then used to derive sensitivity and specificities for hotspot prediction.
Data were analysed from 256 homesteads in three study cohorts, where 5,600 episodes of febrile malaria were recorded over 32,452 person years of observation. The average incidence of malaria was 0.49 per child per year (cpy) in the lowest incidence cohort, and 0.82 per cpy in the highest incidence cohort (Table 1). Behind these summary statistics was substantial heterogeneity, with individual homestead incidences of febrile malaria ranging from zero to two episodes per cpy over the 3–11 y of monitoring (Figures S1 and S2).
Spatial Limits of Clusters of Malaria
Episodes of febrile malaria were aggregated in “hotspots” or clusters (Table 2). The geometric mean of the RR for the clusters was 2.35 (range 1.3–28). 14% of the population monitored were within a hotspot at any one time. A total of 23 of the 26 hotspots were significant (i.e., p<0.05) and retained for further analysis. 17 of the 26 were strongly significant (i.e., p<0.005).
The average hotspot had a 1.3-km radius. There were six hotspots, where the apparent radius was less than the closest distance between sampled homesteads (i.e., the hotspot was a single homestead). All these hotspots were in Ngerenya, where there was the greatest distance between sampled homesteads (Table 1).
Asymptomatic parasitaemia was also aggregated into hotspots, with a geometric mean RR of 2.9 (range 1.5–15). 14% of the population monitored were within a hotspot. 19 of the 35 potential hotspots identified were significant (p<0.05) and retained for further analysis. Six were strongly significant (p<0.005). The average radius of these hotspots was 1 km.
Gradient of Incidence on Moving from the Centre of a Hotspot to Outside the Hotspot
Based on the LOWESS curve, the incidence of febrile malaria was highest in the centre of a hotspot of febrile malaria (Figure 2), at 1.32 episodes/child year, and decreased towards the perimeter of the hotspot, where the mean incidence was 0.83 episodes/child year. The incidence of febrile malaria continued to fall gradually with distance outside the hotspot until reaching a plateau at 0.3 episodes/child year 3.7 km away from the perimeter of the hotspot. Between the centre to 3.7 km outside the perimeter, the gradient was −0.17 episodes/child year per km (95% confidence interval [CI] −0.2 to −0.14, p = 4×10−21). After 3.7 km, the gradient was −0.05 episodes/child year per km (95% CI −0.04 to 0.04, p = 0.8).
Negative distances indicate a location inside the cluster, and positive distances indicate a location outside. Loess curves are shown in red (using a bandwidth of 0.8).
The highest point prevalence of asymptomatic parasitaemia was in the centre of a hotspot of asymptomatic parasitaemia, with a gradient of falling prevalence towards and then outside the perimeter of the hotspot. However, the incidence of febrile malaria was low in the centre of a hotspot of asymptomatic parasitaemia, at 0.49 episodes/child year by the LOWESS curve, and rose to 0.63 episodes/child year at the perimeter. Overall, the mean incidence within the hotspot was 0.6 episodes/child year, 95% CI 0.49–0.71. The peak incidence of 0.78 episodes/child year by LOWESS was reached 1.4 km away from the perimeter, and incidence then declined to 0.4 episodes/child year 7 km away from the perimeter. The mean incidence was 0.72 episodes/child year (95% CI 0.66–0.78) between 0 and 3 km from the perimeter of the hotspot of asymptomatic parasitaemia, and 0.48 episodes/child year (95% CI 0.41–0.55) after 3 km. The gradient of the incidence of febrile malaria was −0.033 episodes/child year per km outside the perimeter (95% CI −0.06 to −0.006, p = 0.016).
There was no consistent distance between contemporaneous hotspots of febrile malaria and hotspots of asymptomatic parasitaemia (range from 0 to 4.6 km).
Malariometrics of Hotspots of Febrile Malaria Versus Hotspots of Asymptomatic Parasitaemia
Children within hotspots of asymptomatic parasitaemia had higher antibody titres on cross-sectional samples, and a lower mean age at the time of febrile malaria than children in hotspots of febrile malaria (Table 3). As a consequence of their respective definitions, the parasite rates were higher in hotspots of asymptomatic parasitaemia and the incidence of febrile malaria higher in hotspots of febrile malaria.
Temporal Stability of Hotspots
The position of hotspoting of febrile malaria changed from year to year in two study areas, although there was a subset of houses that remained within hotspots from year to year (Figure 3). Overall, the distribution of homesteads in a hotspot was moderately predictive of the distribution of hotspots for the following year, but became less predictive of the hotspots present after 4 y or longer. In contrast, hotspots of asymptomatic parasitaemia were more stable over time (Figure 4). The distribution of homesteads was more strongly predictive of hotspots the next year, and was still predictive of hotspots 7 y later (Table 4).
Although the location of hotspots of febrile malaria varied by year, they did not vary on a pooled analysis by season (Figure 5). The distribution of hotspots during the short rains predicted hotspots during the long rains (RR = 3.91, 95% CI 2.7–5.2, p = 7×10−10) and dry season (RR = 5.23, 95% CI 4.0–6.5, p = 3×10−16), and the hotspots seen in the dry season predicted hotspots during the long rains (RR = 4.45, 95% CI 3.0–5.9, p = 3.7×10−9).
Homestead Level Clustering Versus Hotspots of Homesteads
There appeared to be substantial variation in the incidence of malaria outside the hotspots (Figures S2 and S3). Variation in risk at the homestead level was stable from year to year, even when analysing the homesteads inside and outside hotspots separately (Table 5). The geographical heterogeneity in asymptomatic parasitaemia at the homestead level was more stable over time than the heterogeneity for febrile malaria.
Prediction of Hotspots by Serology
The antibody response to MSP-2 was used to determine hotspots in three ways; by the OD measurement (as a continuous variable), by the seropositivity rate, and by the seroconversion rate using a catalytic model. Neither the seropositivity rate nor seroconversion rate were associated with hotspots of febrile malaria or parasitaemia (OR = 0.99, 95% CI 0.98–1.01 p = 0.4 and OR = 1.03, 95% CI 0.95–1.1, p = 0.5). However, the OD measurements predicted concurrent hotspots of febrile malaria and parasitaemia significantly (OR = 3.77, 95% CI 1.3–10, p = 0.012 and OR = 5.9, 95% CI 1.7–20, p = 0.005, respectively), giving a sensitivity and specificity of 68% and 73% for febrile malaria hotspots, and 65% and 69% for asymptomatic parasitaemia hotspots, respectively. The OD remained associated with asymptomatic parasitaemia hotspots 3 y after the original measurement (OR = 20.1, 95% CI 1.2–300, p = 0.037), and with febrile malaria hotspots 2 y later (OR = 4.1, 95% CI 1.5–11, p = 0.005) but not at 3 y (OR = 2.5, 95% CI 0.3–18, p = 0.4).
AMA-1 responses were associated with hotspots of asymptomatic parasitaemia (OR = 3.5, 95% CI 1.3–10, p = 0.016) but not hotspots of febrile malaria (OR = 1.5, 95% CI 0.7–3.5, p = 0.3) (See Figure S1 for receiver operating characteristic [ROC] curves for antibody titres).
Prediction of Hotspots by Remote Sensing Data
Environmental factors indicated by remote sensing data were strongly implicated in determining hotspots of asymptomatic parasitaemia, either by selection of dominant parameters or from principal component analysis (Table 6). The first three components of the principal component analysis had Eigenvalues of 7.09, 5.97, and 4.43, accounting for 49% of the total variance. The remaining components had Eigenvalues <3, and each accounted for 8% or less of the total variance. Definitions based on the logistic regression models from the MODIS satellite data were 65% sensitive and 67% specific from principal component analysis or 81% sensitive and 63% specific based on the model of selected independent predictors.
Hotspots of febrile malaria were less strongly linked to the remote sensing data, and the significant factors differed from those that identified hotspots of asymptomatic parasitaemia. Definitions for febrile malaria hotspots were only 62% sensitive and 30% specific from principal components or 81% sensitive and 50% specific from the selected independent predictor (see Figure S3).
Parasite Genotyping Data by Hotspot
In Junju parasite genotypes according to MSP-2 fragment size by capillary tube electrophoresis were available. There were 26 common alleles (i.e., represented in more than ten individuals) and 66 less common alleles that were classified as “other”. An overall analysis of variance showed significant variation in the distribution of clones (p = 0.016). Post hoc testing (Table 7) suggested that this variation was due to three genotypes that were overrepresented inside the hotspot: fc419 (16% versus 8%, p = 0.004); ic496 (5% versus 2%, p = 0.015); and ic545 (4% versus 1%, p = 0.017).
Predicted Operational Performance of Predictors of Heterogeneity
Using antibody titres, 20% of homesteads would be identified for an intervention with a cut-off of mean titre >1.0 OD, but only 37% of the whole cohort's malaria episodes would occur in these homesteads. In order to include 50% of the malaria episodes, a cut-off of 0.85 would be required, and this would require 32% of the homesteads in the study area to be treated.
Table 8 shows the results of monitoring episodes of febrile malaria during 1 or 2 mo of surveillance to predict febrile malaria episodes during the following year, on the basis of the assumption that any homestead with at least one episode of febrile malaria during the monitoring period would be targeted for treatment.
We identified stable hotspots of asymptomatic parasitaemia, and unstable hotspots of febrile disease in each of three cohorts in Kilifi District. The hotspots of asymptomatic parasitaemia were characterized by nonsignificantly higher mean antibody titres, a lower mean age at febrile episodes, and lower overall incidences of febrile disease. There may have been an increase in the incidence of febrile malaria in the penumbra around the perimeter of the hotspots of asymptomatic parasitaemia (Figure 5). Furthermore, hotspots of asymptomatic parasitaemia were stable over the full 7 y of monitoring, whereas hotspots of febrile malaria were not stable past 3 y of monitoring. Taken together, these observations suggest the following explanation: that a rapid acquisition of immunity in stable high transmission hotspots offsets the high rates of febrile malaria that would otherwise result. Instead, a high prevalence of asymptomatic parasitaemia is seen . Unstable hotspots are not associated with prior exposure, and hence relatively low levels of immunity, and therefore produce higher incidences of febrile disease. Although the unstable hotspots are directly associated with more febrile disease, hotspots of asymptomatic parasitaemia may be critical in maintaining transmission .
The satellite remote sensing data suggest a primarily environmental cause for stable hotspots, but it was unclear why some hotspots are unstable. It was not simply a seasonal effect, since there was no indication of a seasonal specificity of hotspots in pooled analysis by season. Potential explanations might be a changing prevailing wind direction  or the temporary presence of “superspreaders” as seen in other infectious diseases . Insecticide-treated net (ITN) use has expanded in Kilifi generally  and in the Junju cohort specifically , but there was no evidence that there were hotspots of ITN use in our dataset (p = 0.9).
The study is based on active case detection in a sample of the total population (5%–10%). Data from the missing homesteads might alter the dimensions and frequency of the hotspots identified, and clarify whether clustering is stronger at the level of individual homestead or at the level of groups of homesteads that form “hotspots.” The resolution of remote sensing data results in an average of six homesteads per pixel. The remote sensing data predicted hotspots, but heterogeneity in risk by individual homestead was also observed, and higher resolution remote sensing data are needed to further investigate this.
The instability of hotspots of febrile malaria was not simply due to variations in age of the children monitored (Table 3). Furthermore, stable hotspots of asymptomatic parasitaemia were observed in Junju, where only children and not adults were recruited to the cohort. Although the three cohorts monitored were from geographically different areas, the study is limited by presenting data from a single district, and so cannot represent the great diversity of ecology that will be seen across sub-Saharan Africa. Other cohorts undergoing longitudinal surveillance should be examined to confirm our findings.
Malaria transmission varies by geographical features such as altitude , cultivation practices , streams and dams , house construction , socioeconomic factors , and ITN use . Data on these factors were not available for the analysis presented here, although there were no large water bodies in the study area. However, a previous analysis in one of the study areas demonstrated that both environmental factors at the homestead level and host genetic factors contributed substantially to variation in malaria risk .
Our analysis suggests that environmental factors identified by remote sensing are associated with stable hotspots of asymptomatic parasitaemia. The environment in Kenya is seasonal, with two rainy seasons per year. The strongest individual factors from remote sensing were not the means of any index, but rather the minimum, and phases for a vegetation index and indicators of temperature, consistent with previous studies that have demonstrated the importance of temporal monitoring . The remote sensing data show strong cross-correlation, and significant individual factors are likely to be proxies for more complex environmental determinants of transmission. 48 different measures of remote sensing were tested, but after a Bonferroni correction p = 1.4×10−5 and p = 2×10−4 for the two most significant individual factors.
The evidence for environmental causation of the unstable hotspots of febrile malaria was less strong. Nevertheless, p = 0.006 after a Bonferroni correction for the single individual factor retained in the final model.
On principle component analysis the second and third components were significantly associated with hotspots of asymptomatic parasitaemia, but the first component was associated with hotspots of febrile malaria. This finding is consistent with a complex environmental causation of hotspots rather than a single factor, and different environmental causes for the two types of hotspot.
Anti-AMA antibody titres were associated with hotspots, but seroprevalence and seroconversion rates did not predict hotspots. This association contrasts with previous findings on a larger geographical scale . The effects of individual variation may become more noticeable on a smaller scale , and smaller scale hotspots are unlikely to be as stable as environmental features such as altitude that operate on a larger scale .
There was substantial heterogeneity of transmission inside and outside hotspots. This heterogeneity was not simply random variation, since the previous year's incidence per homestead was strongly predictive of subsequent risk (r = 0.57). Variation in malaria risk at the homestead level has been shown to be due to a mixture of genetic and environmental factors ,. Irrespective of the cause, hotspots have a substantial effect on overall transmission in the community . Here, we demonstrate two levels of clustering; clustering at the homestead level, and hotspots of groups of high risk homesteads in 1.3-km radius areas. The “gradient” effect away from the perimeter of a hotspot is consistent with transmission in the majority of the cohort being maintained by transmission from within the hotspot of homesteads. Hence, targeting the 73% of febrile malaria within the 28% highest risk homesteads is likely to benefit the wider community, since the highest risk homesteads will increase transmission in the surrounding area .
The genotyping data suggest that individual parasite clones are associated with a hotspot of asymptomatic parasitaemia. This finding may be because particular hosts more frequently transmit their parasites within a hotspot , or because particular parasite clones have adapted to a geographical micro-environment, determined, for instance, by the vector species . Genotypes were not available from febrile disease episodes.
Clustering of episodes by individual is reported in many infectious diseases , and has been relevant to the control of diverse pathogens such as Escherichia coli , tuberculosis , gonorrhea , SARS , and leishmaniasis . Clustering of malaria episodes by homestead  and larger geographical hotspots including groups of homesteads is well described –,, but there are few data on the temporal stability of hotspots.
Targeted strategies for malaria control need to consider two kinds of hotspot; stable hotspots of asymptomatic parasitaemia and unstable hotspots of febrile disease. One might argue against intervening in hotspots of asymptomatic parasitaemia, since rates of febrile disease are not high, and intervention might reduce host immunity. However, where transmission has fallen in areas of high transmission, substantial direct and indirect mortality and public health gains have been described in the short and long term ,,. Furthermore, these stable hotspots probably feed transmission in their penumbrae for a distance of several kilometres because of vector dispersion –. Hotspots of asymptomatic parasitaemia can be identified by parasite surveys, serological surveys, or, more conveniently, remote sensing.
Hotspots of febrile disease may be targeted by monitoring presentations to the local dispensary during the dry season, and targeting the effected homesteads during the subsequent rains. The optimal protocol would be to monitor during the dry season in September and then treat for the following year, which would result in targeting 20% of the homesteads, accounting for 65% of the febrile malaria episodes during the following year. It is optimal to cover 100% of the homesteads with any control intervention (particularly ITN distribution). However, some other interventions are currently not practical on community-wide scale, such as repeated mass drug administration ,, environmental modification –, mass vaccination , or (in some circumstances) indoor residual spraying (IRS) –, but become feasible if targeted on the 20% of homesteads at greatest risk.
When transmission has reduced to very low levels, transmission remains geographically clustered ,, and intensified control in these hotspots is key to achieving elimination. In our setting, as in much of sub-Saharan Africa, there is not an immediate prospect of elimination. Additional targeted control measures may be viewed simply as a cost-effective way of ensuring that those most in need get the intervention, but the stronger justification is that reducing transmission in hotspots will reduce transmission on the wider community .
Environmental interactions are complex in determining malaria risk per se , and so these findings should be validated in other datasets before firm recommendations for malaria control programmes are made.
Receiver operator characteristics (ROCs) are shown for AMA-1 antibodies, MSP-2 antibodies, and for the model on the basis of selected remote sensing variables and principle component analysis of the remote sensing variables. The areas under the ROC curves were 0.61, 0.67, 0.68, and 0.68 for prediction of febrile malaria hotspots by AMA-1 and MSP-2 antibodies, and for the model and principal component analyses, respectively. For asymptomatic parasitaemia hotspots the areas under the curves were 0.70, 0.72, 0.82, and 0.73, respectively.
(0.61 MB TIF)
The incidence of febrile malaria episodes cpy is shown for the three cohorts. More intense green colouring indicates higher incidence.
(0.48 MB TIF)
The paper is published with the permission of the director of the KEMRI. MODIS data were processed and made available by David Benz, Spatial Ecology and Epidemiology group, Department of Zoology, University of Oxford. Greg Fegan, David Conway, and Teun Bousema are thanked for helpful comments on the analysis and write-up. Jana McBride and David Cavanagh provided plasmid clones to produce MSP-2; Sheetij Dutta and David Lanar provided AMA-1 recombinant antigen; and David Conway, Spencer Polley, and Kevin Tetteh provided support in producing recombinant antigens.
ICMJE criteria for authorship read and met: PB TNW AL AMN JW EO AO FHO SIH AF KM. Agree with the manuscript's results and conclusions: PB TNW AL AMN JW EO AO FHO SIH AF KM. Designed the experiments/the study: PB FHO KM. Analyzed the data: PB. Collected data/did experiments for the study: PB TNW AL JW EO AO FHO SIH. Enrolled patients: PB TNW JW EO. Wrote the first draft of the paper: PB. Contributed to the writing of the paper: PB TNW AL AMN AO FHO SIH KM. Overall data manager for the cohorts from which these data were derived and was responsible for data integrity: EO. Contributed data, interpretation, and writing of the paper: AF.
- 1. Woolhouse ME, Dye C, Etard JF, Smith T, Charlwood JD, et al. (1997) Heterogeneities in the transmission of infectious agents: implications for the design of control programs. Proc Natl Acad Sci U S A 94: 338–342.ME WoolhouseC. DyeJF EtardT. SmithJD Charlwood1997Heterogeneities in the transmission of infectious agents: implications for the design of control programs.Proc Natl Acad Sci U S A94338342
- 2. Smith DL, McKenzie FE, Snow RW, Hay SI (2007) Revisiting the basic reproductive number for malaria and its implications for malaria control. PLoS Biol 5: e42.DL SmithFE McKenzieRW SnowSI Hay2007Revisiting the basic reproductive number for malaria and its implications for malaria control.PLoS Biol5e42
- 3. Mackinnon MJ, Gunawardena DM, Rajakaruna J, Weerasingha S, Mendis KN, et al. (2000) Quantifying genetic and nongenetic contributions to malarial infection in a Sri Lankan population. Proc Natl Acad Sci U S A 97: 12661–12666.MJ MackinnonDM GunawardenaJ. RajakarunaS. WeerasinghaKN Mendis2000Quantifying genetic and nongenetic contributions to malarial infection in a Sri Lankan population.Proc Natl Acad Sci U S A971266112666
- 4. Gamage-Mendis AC, Carter R, Mendis C, De Zoysa AP, Herath PR, et al. (1991) Clustering of malaria infections within an endemic population: risk of malaria associated with the type of housing construction. Am J Trop Med Hyg 45: 77–85.AC Gamage-MendisR. CarterC. MendisAP De ZoysaPR Herath1991Clustering of malaria infections within an endemic population: risk of malaria associated with the type of housing construction.Am J Trop Med Hyg457785
- 5. Ghebreyesus TA, Haile M, Witten KH, Getachew A, Yohannes M, et al. (2000) Household risk factors for malaria among children in the Ethiopian highlands. Trans R Soc Trop Med Hyg 94: 17–21.TA GhebreyesusM. HaileKH WittenA. GetachewM. Yohannes2000Household risk factors for malaria among children in the Ethiopian highlands.Trans R Soc Trop Med Hyg941721
- 6. Gaudart J, Poudiougou B, Dicko A, Ranque S, Toure O, et al. (2006) Space-time clustering of childhood malaria at the household level: a dynamic cohort in a Mali village. BMC Public Health 6: 286.J. GaudartB. PoudiougouA. DickoS. RanqueO. Toure2006Space-time clustering of childhood malaria at the household level: a dynamic cohort in a Mali village.BMC Public Health6286
- 7. Kreuels B, Kobbe R, Adjei S, Kreuzberg C, von Reden C, et al. (2008) Spatial variation of malaria incidence in young children from a geographically homogeneous area with high endemicity. J Infect Dis 197: 85–93.B. KreuelsR. KobbeS. AdjeiC. KreuzbergC. von Reden2008Spatial variation of malaria incidence in young children from a geographically homogeneous area with high endemicity.J Infect Dis1978593
- 8. Smith DL, Dushoff J, Snow RW, Hay SI (2005) The entomological inoculation rate and Plasmodium falciparum infection in African children. Nature 438: 492–495.DL SmithJ. DushoffRW SnowSI Hay2005The entomological inoculation rate and Plasmodium falciparum infection in African children.Nature438492495
- 9. Belizario VY, Saul A, Bustos MD, Lansang MA, Pasay CJ, et al. (1997) Field epidemiological studies on malaria in a low endemic area in the Philippines. Acta Trop 63: 241–256.VY BelizarioA. SaulMD BustosMA LansangCJ Pasay1997Field epidemiological studies on malaria in a low endemic area in the Philippines.Acta Trop63241256
- 10. Mackinnon MJ, Mwangi TW, Snow RW, Marsh K, Williams TN (2005) Heritability of malaria in Africa. PLoS Med 2: e340.MJ MackinnonTW MwangiRW SnowK. MarshTN Williams2005Heritability of malaria in Africa.PLoS Med2e340
- 11. Mwangi TW, Fegan G, Williams TN, Kinyanjui SM, Snow RW, et al. (2008) Evidence for over-dispersion in the distribution of clinical malaria episodes in children. PLoS ONE 3: e2196.TW MwangiG. FeganTN WilliamsSM KinyanjuiRW Snow2008Evidence for over-dispersion in the distribution of clinical malaria episodes in children.PLoS ONE3e2196
- 12. Rogers DJ, Randolph SE, Snow RW, Hay SI (2002) Satellite imagery in the study and forecast of malaria. Nature 415: 710–715.DJ RogersSE RandolphRW SnowSI Hay2002Satellite imagery in the study and forecast of malaria.Nature415710715
- 13. Reyburn H, Mbatia R, Drakeley C, Bruce J, Carneiro I, et al. (2005) Association of transmission intensity and age with clinical manifestations and case fatality of severe Plasmodium falciparum malaria. JAMA 293: 1461–1470.H. ReyburnR. MbatiaC. DrakeleyJ. BruceI. Carneiro2005Association of transmission intensity and age with clinical manifestations and case fatality of severe Plasmodium falciparum malaria.JAMA29314611470
- 14. Lindsay SW, Wilkins HA, Zieler HA, Daly RJ, Petrarca V, et al. (1991) Ability of Anopheles gambiae mosquitoes to transmit malaria during the dry and wet seasons in an area of irrigated rice cultivation in The Gambia. J Trop Med Hyg 94: 313–324.SW LindsayHA WilkinsHA ZielerRJ DalyV. Petrarca1991Ability of Anopheles gambiae mosquitoes to transmit malaria during the dry and wet seasons in an area of irrigated rice cultivation in The Gambia.J Trop Med Hyg94313324
- 15. Hay SI, Guerra CA, Tatem AJ, Atkinson PM, Snow RW (2005) Urbanization, malaria transmission and disease burden in Africa. Nat Rev Microbiol 3: 81–90.SI HayCA GuerraAJ TatemPM AtkinsonRW Snow2005Urbanization, malaria transmission and disease burden in Africa.Nat Rev Microbiol38190
- 16. Ghebreyesus TA, Haile M, Witten KH, Getachew A, Yohannes AM, et al. (1999) Incidence of malaria among children living near dams in northern Ethiopia: community based incidence survey. BMJ 319: 663–666.TA GhebreyesusM. HaileKH WittenA. GetachewAM Yohannes1999Incidence of malaria among children living near dams in northern Ethiopia: community based incidence survey.BMJ319663666
- 17. Omumbo JA, Hay SI, Snow RW, Tatem AJ, Rogers DJ (2005) Modelling malaria risk in East Africa at high-spatial resolution. Trop Med Int Health 10: 557–566.JA OmumboSI HayRW SnowAJ TatemDJ Rogers2005Modelling malaria risk in East Africa at high-spatial resolution.Trop Med Int Health10557566
- 18. Craig MH, Sharp BL, Mabaso ML, Kleinschmidt I (2007) Developing a spatial-statistical model and map of historical malaria prevalence in Botswana using a staged variable selection procedure. Int J Health Geogr 6: 44.MH CraigBL SharpML MabasoI. Kleinschmidt2007Developing a spatial-statistical model and map of historical malaria prevalence in Botswana using a staged variable selection procedure.Int J Health Geogr644
- 19. Snow RW, Gouws E, Omumbo J, Rapuoda B, Craig MH, et al. (1998) Models to predict the intensity of Plasmodium falciparum transmission: applications to the burden of disease in Kenya. Trans R Soc Trop Med Hyg 92: 601–606.RW SnowE. GouwsJ. OmumboB. RapuodaMH Craig1998Models to predict the intensity of Plasmodium falciparum transmission: applications to the burden of disease in Kenya.Trans R Soc Trop Med Hyg92601606
- 20. Gemperli A, Sogoba N, Fondjo E, Mabaso M, Bagayoko M, et al. (2006) Mapping malaria transmission in West and Central Africa. Trop Med Int Health 11: 1032–1046.A. GemperliN. SogobaE. FondjoM. MabasoM. Bagayoko2006Mapping malaria transmission in West and Central Africa.Trop Med Int Health1110321046
- 21. Noor AM, Clements AC, Gething PW, Moloney G, Borle M, et al. (2008) Spatial prediction of Plasmodium falciparum prevalence in Somalia. Malar J 7: 159.AM NoorAC ClementsPW GethingG. MoloneyM. Borle2008Spatial prediction of Plasmodium falciparum prevalence in Somalia.Malar J7159
- 22. Kleinschmidt I, Sharp BL, Clarke GP, Curtis B, Fraser C (2001) Use of generalized linear mixed models in the spatial analysis of small-area malaria incidence rates in Kwazulu Natal, South Africa. Am J Epidemiol 153: 1213–1221.I. KleinschmidtBL SharpGP ClarkeB. CurtisC. Fraser2001Use of generalized linear mixed models in the spatial analysis of small-area malaria incidence rates in Kwazulu Natal, South Africa.Am J Epidemiol15312131221
- 23. Hay SI (2000) An overview of remote sensing and geodesy for epidemiology and public health application. Adv Parasitol 47: 1–35.SI Hay2000An overview of remote sensing and geodesy for epidemiology and public health application.Adv Parasitol47135
- 24. Trape JF, Lefebvre-Zante E, Legros F, Ndiaye G, Bouganali H, et al. (1992) Vector density gradients and the epidemiology of urban malaria in Dakar, Senegal. Am J Trop Med Hyg 47: 181–189.JF TrapeE. Lefebvre-ZanteF. LegrosG. NdiayeH. Bouganali1992Vector density gradients and the epidemiology of urban malaria in Dakar, Senegal.Am J Trop Med Hyg47181189
- 25. Thompson R, Begtrup K, Cuamba N, Dgedge M, Mendis C, et al. (1997) The Matola malaria project: a temporal and spatial study of malaria transmission and disease in a suburban area of Maputo, Mozambique. Am J Trop Med Hyg 57: 550–559.R. ThompsonK. BegtrupN. CuambaM. DgedgeC. Mendis1997The Matola malaria project: a temporal and spatial study of malaria transmission and disease in a suburban area of Maputo, Mozambique.Am J Trop Med Hyg57550559
- 26. Thomas CJ, Lindsay SW (2000) Local-scale variation in malaria infection amongst rural Gambian children estimated by satellite remote sensing. Trans R Soc Trop Med Hyg 94: 159–163.CJ ThomasSW Lindsay2000Local-scale variation in malaria infection amongst rural Gambian children estimated by satellite remote sensing.Trans R Soc Trop Med Hyg94159163
- 27. Lindsay SW, Alonso PL, Armstrong Schellenberg JR, Hemingway J, Thomas PJ, et al. (1993) A malaria control trial using insecticide-treated bed nets and targeted chemoprophylaxis in a rural area of The Gambia, west Africa. 3. Entomological characteristics of the study area. Trans R Soc Trop Med Hyg 87: Suppl 219–23.SW LindsayPL AlonsoJR Armstrong SchellenbergJ. HemingwayPJ Thomas1993A malaria control trial using insecticide-treated bed nets and targeted chemoprophylaxis in a rural area of The Gambia, west Africa. 3. Entomological characteristics of the study area.Trans R Soc Trop Med Hyg87Suppl 21923
- 28. Bogh C, Lindsay SW, Clarke SE, Dean A, Jawara M, et al. (2007) High spatial resolution mapping of malaria transmission risk in the Gambia, west Africa, using LANDSAT TM satellite imagery. Am J Trop Med Hyg 76: 875–881.C. BoghSW LindsaySE ClarkeA. DeanM. Jawara2007High spatial resolution mapping of malaria transmission risk in the Gambia, west Africa, using LANDSAT TM satellite imagery.Am J Trop Med Hyg76875881
- 29. Midega JT, Mbogo CM, Mwnambi H, Wilson MD, Ojwang G, et al. (2007) Estimating dispersal and survival of Anopheles gambiae and Anopheles funestus along the Kenyan coast by using mark-release-recapture methods. J Med Entomol 44: 923–929.JT MidegaCM MbogoH. MwnambiMD WilsonG. Ojwang2007Estimating dispersal and survival of Anopheles gambiae and Anopheles funestus along the Kenyan coast by using mark-release-recapture methods.J Med Entomol44923929
- 30. Yeshiwondim AK, Gopal S, Hailemariam AT, Dengela DO, Patel HP (2009) Spatial analysis of malaria incidence at the village level in areas with unstable transmission in Ethiopia. Int J Health Geogr 8: 5.AK YeshiwondimS. GopalAT HailemariamDO DengelaHP Patel2009Spatial analysis of malaria incidence at the village level in areas with unstable transmission in Ethiopia.Int J Health Geogr85
- 31. Brooker S, Clarke S, Njagi JK, Polack S, Mugo B, et al. (2004) Spatial clustering of malaria and associated risk factors during an epidemic in a highland area of western Kenya. Trop Med Int Health 9: 757–766.S. BrookerS. ClarkeJK NjagiS. PolackB. Mugo2004Spatial clustering of malaria and associated risk factors during an epidemic in a highland area of western Kenya.Trop Med Int Health9757766
- 32. Ernst KC, Adoka SO, Kowuor DO, Wilson ML, John CC (2006) Malaria hotspot areas in a highland Kenya site are consistent in epidemic and non-epidemic years and are associated with ecological factors. Malar J 5: 78.KC ErnstSO AdokaDO KowuorML WilsonCC John2006Malaria hotspot areas in a highland Kenya site are consistent in epidemic and non-epidemic years and are associated with ecological factors.Malar J578
- 33. Mbogo CM, Mwangangi JM, Nzovu J, Gu W, Yan G, et al. (2003) Spatial and temporal heterogeneity of Anopheles mosquitoes and Plasmodium falciparum transmission along the Kenyan coast. Am J Trop Med Hyg 68: 734–742.CM MbogoJM MwangangiJ. NzovuW. GuG. Yan2003Spatial and temporal heterogeneity of Anopheles mosquitoes and Plasmodium falciparum transmission along the Kenyan coast.Am J Trop Med Hyg68734742
- 34. Bejon P, Berkley JA, Mwangi T, Ogada E, Mwangi I, et al. (2007) Defining childhood severe falciparum malaria for intervention studies. PLoS Med 4: e251.P. BejonJA BerkleyT. MwangiE. OgadaI. Mwangi2007Defining childhood severe falciparum malaria for intervention studies.PLoS Med4e251
- 35. O'Meara WP, Bejon P, Mwangi TW, Okiro EA, Peshu N, et al. (2008) Effect of a fall in malaria transmission on morbidity and mortality in Kilifi, Kenya. Lancet 372: 1555–1562.WP O'MearaP. BejonTW MwangiEA OkiroN. Peshu2008Effect of a fall in malaria transmission on morbidity and mortality in Kilifi, Kenya.Lancet37215551562
- 36. Mwangi TW, Ross A, Snow RW, Marsh K (2005) Case definitions of clinical malaria under different transmission conditions in Kilifi District, Kenya. J Infect Dis 191: 1932–1939.TW MwangiA. RossRW SnowK. Marsh2005Case definitions of clinical malaria under different transmission conditions in Kilifi District, Kenya.J Infect Dis19119321939
- 37. Bejon P, Mwacharo J, Kai O, Mwangi T, Milligan P, et al. (2006) A phase 2b randomised trial of the candidate malaria vaccines FP9 ME-TRAP and MVA ME-TRAP among children in Kenya. PLoS Clin Trials 1: e29.P. BejonJ. MwacharoO. KaiT. MwangiP. Milligan2006A phase 2b randomised trial of the candidate malaria vaccines FP9 ME-TRAP and MVA ME-TRAP among children in Kenya.PLoS Clin Trials1e29
- 38. Kulldorff M (2010) SaTScan - Software for the spatial, temporal, and space-time scan statistics. Boston: Harvard Medical School and Harvard Pilgrim Health Care. M. Kulldorff2010SaTScan - Software for the spatial, temporal, and space-time scan statisticsBostonHarvard Medical School and Harvard Pilgrim Health Care
- 39. Kulldorff M, Heffernan R, Hartman J, Assuncao R, Mostashari F (2005) A space-time permutation scan statistic for disease outbreak detection. PLoS Med 2: e59.M. KulldorffR. HeffernanJ. HartmanR. AssuncaoF. Mostashari2005A space-time permutation scan statistic for disease outbreak detection.PLoS Med2e59
- 40. Naus J (1965) The distribution of the size of maximum cluster of points on the line. J Am Stat Assoc 60: 532–538.J. Naus1965The distribution of the size of maximum cluster of points on the line.J Am Stat Assoc60532538
- 41. Kulldorff M (1997) A spatial-scan statistic. Commun Stat Theory Methods 26: 1481–1496.M. Kulldorff1997A spatial-scan statistic.Commun Stat Theory Methods2614811496
- 42. Zou G (2004) A modified poisson regression approach to prospective studies with binary data. Am J Epidemiol 159: 702–706.G. Zou2004A modified poisson regression approach to prospective studies with binary data.Am J Epidemiol159702706
- 43. Liljander A, Wiklund L, Falk N, Kweku M, Martensson A, et al. (2009) Optimization and validation of multi-coloured capillary electrophoresis for genotyping of Plasmodium falciparum merozoite surface proteins (msp1 and 2). Malar J 8: 78.A. LiljanderL. WiklundN. FalkM. KwekuA. Martensson2009Optimization and validation of multi-coloured capillary electrophoresis for genotyping of Plasmodium falciparum merozoite surface proteins (msp1 and 2).Malar J878
- 44. Osier FH, Fegan G, Polley SD, Murungi L, Verra F, et al. (2008) Breadth and magnitude of antibody responses to multiple Plasmodium falciparum merozoite antigens are associated with protection from clinical malaria. Infect Immun 76: 2240–2248.FH OsierG. FeganSD PolleyL. MurungiF. Verra2008Breadth and magnitude of antibody responses to multiple Plasmodium falciparum merozoite antigens are associated with protection from clinical malaria.Infect Immun7622402248
- 45. Polley SD, Conway DJ, Cavanagh DR, McBride JS, Lowe BS, et al. (2006) High levels of serum antibodies to merozoite surface protein 2 of Plasmodium falciparum are associated with reduced risk of clinical malaria in coastal Kenya. Vaccine 24: 4233–4246.SD PolleyDJ ConwayDR CavanaghJS McBrideBS Lowe2006High levels of serum antibodies to merozoite surface protein 2 of Plasmodium falciparum are associated with reduced risk of clinical malaria in coastal Kenya.Vaccine2442334246
- 46. Polley SD, Mwangi T, Kocken CH, Thomas AW, Dutta S, et al. (2004) Human antibodies to recombinant protein constructs of Plasmodium falciparum Apical Membrane Antigen 1 (AMA1) and their associations with protection from malaria. Vaccine 23: 718–728.SD PolleyT. MwangiCH KockenAW ThomasS. Dutta2004Human antibodies to recombinant protein constructs of Plasmodium falciparum Apical Membrane Antigen 1 (AMA1) and their associations with protection from malaria.Vaccine23718728
- 47. Dutta S, Lalitha PV, Ware LA, Barbosa A, Moch JK, et al. (2002) Purification, characterization, and immunogenicity of the refolded ectodomain of the Plasmodium falciparum apical membrane antigen 1 expressed in Escherichia coli. Infect Immun 70: 3101–3110.S. DuttaPV LalithaLA WareA. BarbosaJK Moch2002Purification, characterization, and immunogenicity of the refolded ectodomain of the Plasmodium falciparum apical membrane antigen 1 expressed in Escherichia coli.Infect Immun7031013110
- 48. Tatem AJ, Goetz SJ, Hay SI (2004) Terra and Aqua: new data for epidemiology and public health. Int J Appl Earth Obs 6: 33–46.AJ TatemSJ GoetzSI Hay2004Terra and Aqua: new data for epidemiology and public health.Int J Appl Earth Obs63346
- 49. Scharlemann JP, Benz D, Hay SI, Purse BV, Tatem AJ, et al. (2008) Global data for ecology and epidemiology: a novel algorithm for temporal Fourier processing MODIS data. PLoS One 3: e1408.JP ScharlemannD. BenzSI HayBV PurseAJ Tatem2008Global data for ecology and epidemiology: a novel algorithm for temporal Fourier processing MODIS data.PLoS One3e1408
- 50. Armitage P, Berry G, Matthews J (2001) Using STATA's robust cluster command as appropriate. Statistical methods in medical research. 4th Edition. Oxford: Blackwell Scientific Publications. P. ArmitageG. BerryJ. Matthews2001Using STATA's robust cluster command as appropriate. Statistical methods in medical research. 4th EditionOxfordBlackwell Scientific Publications
- 51. Snow RW, Omumbo JA, Lowe B, Molyneux CS, Obiero JO, et al. (1997) Relation between severe malaria morbidity in children and level of Plasmodium falciparum transmission in Africa. Lancet 349: 1650–1654.RW SnowJA OmumboB. LoweCS MolyneuxJO Obiero1997Relation between severe malaria morbidity in children and level of Plasmodium falciparum transmission in Africa.Lancet34916501654
- 52. Okell LC, Drakeley CJ, Bousema T, Whitty CJ, Ghani AC (2008) Modelling the impact of artemisinin combination therapy and long-acting treatments on malaria transmission intensity. PLoS Med 5: e226.LC OkellCJ DrakeleyT. BousemaCJ WhittyAC Ghani2008Modelling the impact of artemisinin combination therapy and long-acting treatments on malaria transmission intensity.PLoS Med5e226
- 53. Ellis AM (2008) Linking movement and oviposition behaviour to spatial population distribution in the tree hole mosquito Ochlerotatus triseriatus. J Anim Ecol 77: 156–166.AM Ellis2008Linking movement and oviposition behaviour to spatial population distribution in the tree hole mosquito Ochlerotatus triseriatus.J Anim Ecol77156166
- 54. Chase-Topping M, Gally D, Low C, Matthews L, Woolhouse M (2008) Super-shedding and the link between human infection and livestock carriage of Escherichia coli O157. Nat Rev Microbiol 6: 904–912.M. Chase-ToppingD. GallyC. LowL. MatthewsM. Woolhouse2008Super-shedding and the link between human infection and livestock carriage of Escherichia coli O157.Nat Rev Microbiol6904912
- 55. Bejon P, Ogada E, Peshu N, Marsh K (2009) Interactions between age and ITN use determine the risk of febrile malaria in children. PLoS One 4: e8321.P. BejonE. OgadaN. PeshuK. Marsh2009Interactions between age and ITN use determine the risk of febrile malaria in children.PLoS One4e8321
- 56. Lindsay SW, Snow RW (1988) The trouble with eaves; house entry by vectors of malaria. Trans R Soc Trop Med Hyg 82: 645–646.SW LindsayRW Snow1988The trouble with eaves; house entry by vectors of malaria.Trans R Soc Trop Med Hyg82645646
- 57. Baragatti M, Fournet F, Henry MC, Assi S, Ouedraogo H, et al. (2009) Social and environmental malaria risk factors in urban areas of Ouagadougou, Burkina Faso. Malar J 8: 13.M. BaragattiF. FournetMC HenryS. AssiH. Ouedraogo2009Social and environmental malaria risk factors in urban areas of Ouagadougou, Burkina Faso.Malar J813
- 58. Graves PM, Richards FO, Ngondi J, Emerson PM, Shargie EB, et al. (2009) Individual, household and environmental risk factors for malaria infection in Amhara, Oromia and SNNP regions of Ethiopia. Trans R Soc Trop Med Hyg 103: 1211–1220.PM GravesFO RichardsJ. NgondiPM EmersonEB Shargie2009Individual, household and environmental risk factors for malaria infection in Amhara, Oromia and SNNP regions of Ethiopia.Trans R Soc Trop Med Hyg10312111220
- 59. Drakeley CJ, Corran PH, Coleman PG, Tongren JE, McDonald SL, et al. (2005) Estimating medium- and long-term trends in malaria transmission by using serological markers of malaria exposure. Proc Natl Acad Sci U S A 102: 5108–5113.CJ DrakeleyPH CorranPG ColemanJE TongrenSL McDonald2005Estimating medium- and long-term trends in malaria transmission by using serological markers of malaria exposure.Proc Natl Acad Sci U S A10251085113
- 60. Duah NO, Weiss HA, Jepson A, Tetteh KK, Whittle HC, et al. (2009) Heritability of antibody isotype and subclass responses to Plasmodium falciparum antigens. PLoS One 4: e7381.NO DuahHA WeissA. JepsonKK TettehHC Whittle2009Heritability of antibody isotype and subclass responses to Plasmodium falciparum antigens.PLoS One4e7381
- 61. Noor AM, Gething PW, Alegana VA, Patil AP, Hay SI, et al. (2009) The risks of malaria infection in Kenya in 2009. BMC Infect Dis 9: 180.AM NoorPW GethingVA AleganaAP PatilSI Hay2009The risks of malaria infection in Kenya in 2009.BMC Infect Dis9180
- 62. Shililu J, Ghebremeskel T, Seulu F, Mengistu S, Fekadu H, et al. (2003) Larval habitat diversity and ecology of anopheline larvae in Eritrea. J Med Entomol 40: 921–929.J. ShililuT. GhebremeskelF. SeuluS. MengistuH. Fekadu2003Larval habitat diversity and ecology of anopheline larvae in Eritrea.J Med Entomol40921929
- 63. Geng E, Kreiswirth B, Driver C, Li J, Burzynski J, et al. (2002) Changes in the transmission of tuberculosis in New York City from 1990 to 1999. N Engl J Med 346: 1453–1458.E. GengB. KreiswirthC. DriverJ. LiJ. Burzynski2002Changes in the transmission of tuberculosis in New York City from 1990 to 1999.N Engl J Med34614531458
- 64. Jennings JM, Curriero FC, Celentano D, Ellen JM (2005) Geographic identification of high gonorrhea transmission areas in Baltimore, Maryland. Am J Epidemiol 161: 73–80.JM JenningsFC CurrieroD. CelentanoJM Ellen2005Geographic identification of high gonorrhea transmission areas in Baltimore, Maryland.Am J Epidemiol1617380
- 65. Riley S, Fraser C, Donnelly CA, Ghani AC, Abu-Raddad LJ, et al. (2003) Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions. Science 300: 1961–1966.S. RileyC. FraserCA DonnellyAC GhaniLJ Abu-Raddad2003Transmission dynamics of the etiological agent of SARS in Hong Kong: impact of public health interventions.Science30019611966
- 66. Werneck GL, Costa CH, Walker AM, David JR, Wand M, et al. (2002) The urban spread of visceral leishmaniasis: clues from spatial analysis. Epidemiology 13: 364–367.GL WerneckCH CostaAM WalkerJR DavidM. Wand2002The urban spread of visceral leishmaniasis: clues from spatial analysis.Epidemiology13364367
- 67. Bousema T, Drakeley C, Gesase S, Hashim R, Magesa S, et al. Identification of hot spots of malaria transmission for targeted malaria control. J Infect Dis 201: 1764–1774.T. BousemaC. DrakeleyS. GesaseR. HashimS. MagesaIdentification of hot spots of malaria transmission for targeted malaria control.J Infect Dis20117641774
- 68. Kleinschmidt I, Schwabe C, Benavente L, Torrez M, Ridl FC, et al. (2009) Marked increase in child survival after four years of intensive malaria control. Am J Trop Med Hyg 80: 882–888.I. KleinschmidtC. SchwabeL. BenaventeM. TorrezFC Ridl2009Marked increase in child survival after four years of intensive malaria control.Am J Trop Med Hyg80882888
- 69. Ceesay SJ, Casals-Pascual C, Erskine J, Anya SE, Duah NO, et al. (2008) Changes in malaria indices between 1999 and 2007 in The Gambia: a retrospective analysis. Lancet 372: 1545–1554.SJ CeesayC. Casals-PascualJ. ErskineSE AnyaNO Duah2008Changes in malaria indices between 1999 and 2007 in The Gambia: a retrospective analysis.Lancet37215451554
- 70. von Seidlein L, Greenwood BM (2003) Mass administrations of antimalarial drugs. Trends Parasitol 19: 452–460.L. von SeidleinBM Greenwood2003Mass administrations of antimalarial drugs.Trends Parasitol19452460
- 71. Kaneko A, Taleo G, Kalkoa M, Yamar S, Kobayakawa T, et al. (2000) Malaria eradication on islands. Lancet 356: 1560–1564.A. KanekoG. TaleoM. KalkoaS. YamarT. Kobayakawa2000Malaria eradication on islands.Lancet35615601564
- 72. Utzinger J, Tozan Y, Singer BH (2001) Efficacy and cost-effectiveness of environmental management for malaria control. Trop Med Int Health 6: 677–687.J. UtzingerY. TozanBH Singer2001Efficacy and cost-effectiveness of environmental management for malaria control.Trop Med Int Health6677687
- 73. Gu W, Novak RJ (2005) Habitat-based modeling of impacts of mosquito larval interventions on entomological inoculation rates, incidence, and prevalence of malaria. Am J Trop Med Hyg 73: 546–552.W. GuRJ Novak2005Habitat-based modeling of impacts of mosquito larval interventions on entomological inoculation rates, incidence, and prevalence of malaria.Am J Trop Med Hyg73546552
- 74. Gu W, Utzinger J, Novak RJ (2008) Habitat-based larval interventions: a new perspective for malaria control. Am J Trop Med Hyg 78: 2–6.W. GuJ. UtzingerRJ Novak2008Habitat-based larval interventions: a new perspective for malaria control.Am J Trop Med Hyg7826
- 75. Penny MA, Maire N, Studer A, Schapira A, Smith TA (2008) What should vaccine developers ask? Simulation of the effectiveness of malaria vaccines. PLoS ONE 3: e3193.MA PennyN. MaireA. StuderA. SchapiraTA Smith2008What should vaccine developers ask? Simulation of the effectiveness of malaria vaccines.PLoS ONE3e3193
- 76. Protopopoff N, Van Bortel W, Marcotty T, Van Herp M, Maes P, et al. (2008) Spatial targeted vector control is able to reduce malaria prevalence in the highlands of Burundi. Am J Trop Med Hyg 79: 12–18.N. ProtopopoffW. Van BortelT. MarcottyM. Van HerpP. Maes2008Spatial targeted vector control is able to reduce malaria prevalence in the highlands of Burundi.Am J Trop Med Hyg791218
- 77. Protopopoff N, Van Bortel W, Marcotty T, Van Herp M, Maes P, et al. (2007) Spatial targeted vector control in the highlands of Burundi and its impact on malaria transmission. Malar J 6: 158.N. ProtopopoffW. Van BortelT. MarcottyM. Van HerpP. Maes2007Spatial targeted vector control in the highlands of Burundi and its impact on malaria transmission.Malar J6158
- 78. Rodriguez MH, Betanzos-Reyes AF, Hernandez-Avila JE, Mendez-Galvan JF, Danis-Lozano R, et al. (2009) The participation of secondary clinical episodes in the epidemiology of vivax malaria during pre- and post-implementation of focal control in the state of Oaxaca, Mexico. Am J Trop Med Hyg 80: 889–895.MH RodriguezAF Betanzos-ReyesJE Hernandez-AvilaJF Mendez-GalvanR. Danis-Lozano2009The participation of secondary clinical episodes in the epidemiology of vivax malaria during pre- and post-implementation of focal control in the state of Oaxaca, Mexico.Am J Trop Med Hyg80889895
- 79. Coleman M, Mabuza AM, Kok G, Coetzee M, Durrheim DN (2009) Using the SaTScan method to detect local malaria clusters for guiding malaria control programmes. Malar J 8: 68.M. ColemanAM MabuzaG. KokM. CoetzeeDN Durrheim2009Using the SaTScan method to detect local malaria clusters for guiding malaria control programmes.Malar J868