Research | Open | Published:
The use of mobile phone data for the estimation of the travel patterns and imported Plasmodium falciparum rates among Zanzibar residents
Malaria Journalvolume 8, Article number: 287 (2009)
Malaria endemicity in Zanzibar has reached historically low levels, and the epidemiology of malaria transmission is in transition. To capitalize on these gains, Zanzibar has commissioned a feasibility assessment to help inform on whether to move to an elimination campaign. Declining local transmission has refocused attention on imported malaria. Recent studies have shown that anonimized mobile phone records provide a valuable data source for characterizing human movements without compromizing the privacy of phone users. Such movement data in combination with spatial data on P. falciparum endemicity provide a way of characterizing the patterns of parasite carrier movements and the rates of malaria importation, which have been used as part of the malaria elimination feasibility assessment for the islands of Zanzibar.
Data and Methods
Records encompassing three months of complete mobile phone usage for the period October-December 2008 were obtained from the Zanzibar Telecom (Zantel) mobile phone network company, the principal provider on the islands of Zanzibar. The data included the dates of all phone usage by 770,369 individual anonymous users. Each individual call and message was spatially referenced to one of six areas: Zanzibar and five mainland Tanzania regions. Information on the numbers of Zanzibar residents travelling to the mainland, locations visited and lengths of stay were extracted. Spatial and temporal data on P. falciparum transmission intensity and seasonality enabled linkage of this information to endemicity exposure and, motivated by malaria transmission models, estimates of the expected patterns of parasite importation to be made.
Over the three month period studied, 88% of users made calls that were routed only through masts on Zanzibar, suggesting that no long distance travel was undertaken by this group. Of those who made calls routed through mainland masts the vast majority of trips were estimated to be of less than five days in length, and to the Dar Es Salaam Zantel-defined region. Though this region covered a wide range of transmission intensities, data on total infection numbers in Zanzibar combined with mathematical models enabled informed estimation of transmission exposure and imported infection numbers. These showed that the majority of trips made posed a relatively low risk for parasite importation, but risk groups visiting higher transmission regions for extended periods of time could be identified.
Anonymous mobile phone records provide valuable information on human movement patterns in areas that are typically data-sparse. Estimates of human movement patterns from Zanzibar to mainland Tanzania suggest that imported malaria risk from this group is heterogeneously distributed; a few people account for most of the risk for imported malaria. In combination with spatial data on malaria endemicity and transmission models, movement patterns derived from phone records can inform on the likely sources and rates of malaria importation. Such information is important for assessing the feasibility of malaria elimination and planning an elimination campaign.
Many countries are committing to nationwide malaria elimination and global eradication is once more back on the international agenda [1–3]. Historically, the technical feasibility of achieving malaria elimination in a region has been conceptualized as being composed of 'receptivity' and 'vulnerability' [4, 5]. Receptivity represents the strength of transmission in an area, while vulnerability is the risk of malaria importation . While both have been regularly discussed theoretically, neither have been quantified, nor methods for their quantification ever defined.
Quantifying imported malaria risk represents a central component for not only assessing the feasibility of malaria elimination from a region, but for planning the implementation of an elimination campaign. Malaria is constantly being exported and imported around the World, and in areas of high transmission, malaria importation is generally a minor concern. As local transmission is reduced and after malaria has been eliminated from a region, however, importation becomes a primary concern.
Zanzibar, an island group of the coast of Tanzania, is one of the territories in sub-Saharan Africa that has recently expressed its willingness to move from control towards elimination. Since 2003, the introduction of artemisinin-based combination therapy (ACT) and high coverages of long-lasting insecticide treated nets and indoor residual spraying, has reduced malaria prevalence to just 0.8% [7, 8]. These efforts have resulted in the government of Zanzibar considering an elimination campaign and undertaking an elimination feasibility assessment. Nevertheless, proximity and high connectivity to the mainland where transmission levels remain substantially higher in many places  implies that imported malaria will be a constant problem .
In general, parasites can be imported into Zanzibar in one of three ways: (i) the migration of an infected mosquito, (ii) infected humans visiting or migrating from the mainland, (iii) residents visiting the mainland and becoming infected, then returning. While mosquitoes may occasionally arrive though wind-blown or accidental aircraft or ship transport, typically they will only fly short distances. Human carriage of parasites, therefore, represents the principal risk, and is to blame in many past instances elsewhere where malaria has resurged [11–14]. Quantifying such movements both temporally and spatially, and the resulting imported infection risks, represents an important task if effective, evidence-based planning for elimination is to be undertaken.
Recent approaches to quantifying human mobility patterns point the way to novel insights from new data [15, 16], especially through the analysis of mobile phone records [17–19]. Anonimized phone call record data that has both the time each call was made and the location of the nearest mast that each call was routed through can be used to construct trajectories of the movements of individuals over time . Here, the potential of such data for estimating importation risk in the malaria elimination feasibility assessment for the islands of Zanzibar is demonstrated. The low market share on the mainland for the network provider restricts the focus here to those infections brought in by residents returning from mainland travel. However, the approaches put forward are sufficiently generic to be applied to alternative regions, elimination settings and phone network provider data. Moreover, this exercise aims to present the first exploration of mobile phone based approaches to the quantification of vulnerability to inform malaria elimination decisions and planning.
Like other areas of sub-Saharan Africa, the islands of Zanzibar, off the coast of Tanzania in East Africa (Figure 1), have falciparum malaria and efficient vectors, including Anopheles gambiae, and at many points in the past, malaria in Zanzibar would have been called hyperendemic (Pf PR in the 2-10 age group ~50-75%). Recent control efforts , possibly combined with socioeconomic changes, have pushed Plasmodium falciparum prevalences down to 0.3% for the southern island of Unguja, and 1.4% for the northern island of Pemba , meaning approximately 8,500 infected people at any one time; 3,000 on Unguja and 5,500 on Pemba.
Zanzibar, however, has strong transport connections to the mainland where transmission levels are higher, resulting in concerns about achieving and sustaining elimination being raised , and making the quantification of human movement patterns and ultimately, imported infection rates, a critical aspect of elimination feasibility. While daily flights bring in around 10,000 people a month , these are mainly tourists from non-endemic regions, who will likely be taking prophylaxis, and thus represent a low risk in terms of imported infections and onward transmission. Ferry services have capacity to move up to 1,800 people daily between Zanzibar and the mainland. This route, as well as informal movements such as small fishing and trading vessels, likely represent the highest risk pathways for any imported infections. Figure 2 shows the recorded total numbers of ferry passengers each month for 2007, with these numbers likely split equally between visitors from the mainland and Zanzibar residents .
Plasmodium falciparum malaria endemicity data
A new global map of P. falciparum malaria endemicity for 2007 has now been published . This provides a continuous prediction of prevalence (P. falciparum parasite rate in the two up to ten year old age group, PfPR2-10, between 0-100%) for every 5 × 5 km pixel within the stable limits of P. falciparum malaria transmission . It represents a contemporary measure of global malaria endemicity, based on evidence in a huge repository of parasite rate surveys . Using mathematical models described previously [24–26], the parasite rate map was converted to a map of the daily Entomological Inoculation Rate (dEIR), a more relevant measure for assessing the risk of infection acquisition in an area. The dEIR data for the study area was extracted and is shown in Figure 3(a). Maps showing the start and end months of the principal (Figures 3(c) and 3(d)) and secondary P. falciparum transmission seasons  extracted for Tanzania were also obtained to enable spatial refinement of transmission levels during the study period.
Population distribution data
Population distribution maps for 2002 at 100 m spatial resolution, as described in Tatem et al and available through the AfriPop project , were obtained for the study area. These were projected forward to 2008 to match the mobile phone data by applying national, medium variant, inter-censal growth rates  using methods described previously  and are shown in Figure 3(b).
Mobile phone data
The Zanzibar Telecom (Zantel) mobile phone operator has approximately a 10% share of the Tanzanian market . While nine out of ten Tanzanians are reported to have 'access' to a mobile phone, what these Figures mean in terms of ownership and usage are subject to debate and uncertainty [33, 34]. However, while the 10% share Zantel has likely represents an unrepresentative sample of Tanzania as a whole, Zantel does have a 99% market share on Zanzibar. With over 330,000 individual users apparently resident on Zanzibar (see later analyses) out of a total population of just over a million, this suggests that a substantial sample of Zanzibar phone users is covered by the dataset. Analyses here were, therefore, focussed on Zanzibar residents only, though information derived from mainland resident users is presented in Additional file 1: supplemental information.
Records encompassing three months of complete mobile phone usage for the period October-December 2008 were obtained from Zantel. This represents the limit of available Zantel data, since the company only keeps the preceding three months of records. Nevertheless, this covers the busiest period in terms of travel to and from Zanzibar (Figure 2), and, therefore, enables a conservative upper limit on infection importation risk to be estimated. The data included the dates of all phone usage by 770,369 individual users, making a total of 21,053,198 calls and text messages. Prior to receiving the data, Zantel assigned each individual user a unique code to ensure that the anonymity of users was maintained and that the data could only be used for studying general patterns of mobility. Each individual call and message was spatially referenced to one of six areas: Arusha, Dar Es Salaam, Dodoma, Mbeya, Mwanza and Zanzibar (Figure 1). Any individual that made just four or less calls in any one month (an average of one per week) was removed from further analyses to ensure that sufficient temporal resolution existed in the remainder of the dataset for trajectory analysis.
Estimating exposure to transmission levels
For each of the three months in the study period, and for each Zantel region, the areas within their principal (Figures 3(c) and 3(d)) or secondary transmission seasons were identified and overlaid onto the dEIR map (Figure 3(a)), with non-transmission season areas masked out. The minimum, mean and maximum dEIR values for each Zantel region and month were then calculated, and the gridded population data and dEIR data were combined to calculate population weighted mean dEIRs for the entire regions, and their principal cities (Table 1). To examine the ranges of possible results, should for instance the unlikely case of all visitors travelling to the highest transmission part of each Zantel region be reality, analyses were undertaken with the extreme conditions of minimum and maximum possible dEIR exposure per region. With Zantel coverage principally available in the major populated areas, and travellers more likely to visit heavily populated regions than empty rural areas, it was assumed however that the population-weighted measures likely represented the more realistic range of estimates for dEIR exposure within each coverage region. Moreover, with a high percentage of travellers likely visiting just the principal cities when travelling to each region, the population weighted mean dEIR within the city limits of Arusha, Dar Es Salaam, Dodoma, Mbeya and Mwanza, as defined by the global rural-urban mapping project urban extent map , were also calculated. These scenarios and assumptions were tested through comparing estimated imported infection numbers (see the quantifying imported malaria risk section) to the known numbers of infections present at any one time on the islands of Unguja and Pemba.
Quantifying imported malaria risk from returning residents
Malaria importation risk or vulnerability have been discussed in relation to malaria elimination for decades (e.g. [4, 5, 12]), but never quantified. In simple terms, malaria importation risk as a measurable quantity in a focal country or area is the product of human immigration rates from other malaria endemic countries or areas and their corresponding level of endemicity. However, it may not be sufficient to estimate the number of people who cross the borders of a country or region infected with malaria elsewhere; it also matters how long they stayed in endemic regions, how long they remain infected and infectious in the country or area of interest, as well as where they stay. Thus, the risks deriving from visitors from the mainland (see Additional file 1: supplemental information) and returning residents should be quantified differently.
For Zanzibar residents visiting the mainland on day t, their length of stay, L, and dEIR in the area of stay are the key factors. Recent research efforts have provided spatial quantification of P. falciparum endemicity  enabling estimation of the dEIR at the locations that Zanzibar residents are visiting. Motivated by malaria transmission models , the probability of obtaining an infection, P, is thus:
The total number of imported infections, I, over all N trips made in the three month study period is therefore:
Given the estimates of trip length, range of estimates of dEIR and proportion of travellers captured in the dataset, the total number of infections brought into Zanzibar by returning residents were estimated, as well as the distribution of infection origins. With only around 8,500 infections on the islands at any one time, and just 3,000 on Unguja, where the majority of movements to and from the mainland derive from, this places a realistic limit on the estimates of imported infection numbers, and thus, a guide to the likely dEIR visitor exposure for each Zantel region.
Of the 770,369 individual phone users in the Zantel dataset, 24,625 (3.2%) made four calls or less per month in the three month study period, and were thus removed from further analysis. Of the remaining users, 335,621 made the majority of their calls on Zanzibar. From here on, we assume that these represent Zanzibar residents, since the majority of calls by a customer are most likely to be made in their home region. There will of course be exceptions to this, for instance, if a mobile phone is principally used for business use when travelling, but in the absence of further information, this represents a reasonable assumption to make. Of the 335,621 Zanzibar resident users, just 12.08% of them (40,543 users) made calls from the mainland. Thus, the vast majority of users only made calls from Zanzibar, indicating a lack of travel.
Figure 4 shows, of those Zanzibar residents who travelled in the study period, the proportions that made the majority of their non-home calls at each other mast location. It is clear that of those who travelled to the mainland, a substantial proportion made the majority of their non-Zanzibar calls in the Dar Es Salaam region, with only a small proportion making the majority of their non-Zanzibar calls at the other four mast locations.
To estimate the lengths of trips made by those making calls from more than one location, it was assumed that the date of the first mainland call made represented the start of a trip. The end of this trip was estimated as the date when the first Zanzibar-based call was made again. For each user, the start and end dates of each individual trip made were estimated in this way and the trip lengths quantified and recorded. A total of 73,095 trips were made, with 12,584 residents travelling in October making a total of 24,439 trips, 11,947 in November making 24,335 trips and 12,882 in December making 24,321 trips. These figures correspond well with the ferry passenger numbers (Figure 1) and, assuming residents made up around half of ferry passengers , suggest that around 95% of all trips made by Zanzibar residents to the mainland were captured in the dataset.
Figure 5 shows the distribution of trip lengths made by Zanzibar residents. As shown in Figure 4, the vast majority of trips made were to the Dar Es Salaam region. What is clear from Figure 5 is that the majority of trips made to the mainland were of less than five days long. In fact, 17.4% of all trips to the Dar region were estimated to be of just one day in length, while 29% were of two days in length or less. A similar pattern is shown for the other regions, though with substantially fewer visits made, and a higher proportion of longer (10-30 days) trips made by those travelling further, e.g. Mbeya or Mwanza.
Estimating imported malaria risk
To provide estimates of imported case numbers from returning Zanzibar residents and likely origins of infections, the data on dEIR scenarios for each Zantel region were combined with the trip length estimates using equation (2). Table 2 shows that only the results from the population weighted region and city scenarios fall under the realistic limits of total infections on the islands, given that imported infections will also be brought in by visitors from the mainland and that the majority of travel is to Unguja. Realistically, while a significant majority of visitors to each region will visit the principal cities, others will travel to alternative population centres, thus the regional population weighted mean dEIR (upper) and principal city population weighted mean dEIR (lower) scenarios represent credible limits for estimating the likely number of imported infections per month arising from returning residents. Thus, converting these to annualized measures, estimates of between one and 12 imported infections per 1,000 people per year from returning residents represent realistic limits. Given increased travel in October-December (Figure 2), these also likely represent conservative overestimates.
Figure 6 shows the distribution of trips by probability of infection acquisition, P, under the scenarios of exposure to regional population weighted mean dEIR and principal city population weighted mean dEIR. Each scenario highlights that the majority of trips made entailed a probability of infection acquisition of less than 0.05. Figure 7 shows the regional composition of these distributions, illustrating that under both scenarios, the trips made by residents to Dodoma, Mbeya and Mwanza provided greater risks of infection acquisition, due to a higher proportion of longer stays in these regions typically, combined with overall high levels of transmission.
Results here show that, despite data limitations, spatially and temporally referenced mobile phone usage data can provide valuable information on human movement patterns. In combination with spatial data on malaria endemicity, derived movement patterns can inform on the likely sources, risks and case numbers of imported malaria. The estimates presented represent the first quantification of the vulnerability of an area to imported malaria, a necessary quantity in determining the feasibility of achieving and sustaining elimination.
According to the Zantel data, of the 770,369 users in the entire dataset (made up of Zanzibar and mainland residents), only just over 100,000 travelled anywhere during the three-month study period. Of those Zanzibar residents that travelled, the overwhelming majority went solely to the Dar Es Salaam region (and likely to Dar Es Salaam city itself), where the population weighted average dEIR is relatively low. The majority of these trips were for just one to two days, thus posing a relatively low risk of acquiring an infection and again confirming that most trips could not have involved travel to much further beyond Dar Es Salaam city itself. If malaria prevalence levels continue to fall on the nearby mainland [37, 38], there is reason to believe that importation risk on Zanzibar will fall simultaneously. There do however exist small mobile groups that (i) travel for extended periods to the mainland from Zanzibar (ii) travel to higher transmission areas from Zanzibar. These represent the risk groups contributing most to the imported infection numbers brought in by residents visiting the mainland. Moreover, basic analyses on mainland resident movement patterns (Additional File 1: supplemental information), suggest that similar risk groups exist among visitors to Zanzibar.
As described in the methods section, the data used here have specific limitations that prevent more comprehensive analysis. With just a 10% share of the market on the mainland and Zantel subscribers more likely to travel to Zanzibar than non-subscribers, detailed analyses were not presented based on visitors from the mainland, since the data probably exhibits significant biases. In addition, the activities of visitors to high transmission areas are unknown - in extreme scenarios, some may sleep under bed nets in air-conditioned hotels, while others may spend the night outdoors. Further, those travelling to or from further afield than Tanzania are not captured by this dataset, nor are those who switch to an alternative network provider on the mainland, nor are trips longer than three months captured. Finally, information on movement patterns on Zanzibar are also lacking, preventing an understanding of the likelihood of onwards transmission, since imported cases may play a key role in sustaining local transmission in some parts of Zanzibar. Previous work has shown however, that many mobile phone companies often have the ability to provide more precise spatial locations on data (e.g), potentially improving upon conclusions made, should similar malaria-related studies be undertaken. Moreover, additional studies are planned and should be encouraged to test the approaches presented here further and help to arrive at a clear methodology for the quantification of vulnerability. The importance of preserving the anonymity of phone users should remain the utmost priority though.
The information derived from these analyses can be used to guide strategic planning for elimination, should the Ministry of Health decide to pursue such a campaign. Typically, three principal means of reducing imported infection risk are considered: (i) Identify infected individuals and treat them promptly, ideally before or upon entry, before they can infect competent local vectors and lead to secondary cases and sustained foci of indigenous transmission; (ii) address the source of infection by directly reducing transmission in all regions that are primary sources of infected travellers; (iii) provide prophylaxis to residents visiting endemic areas. While the second method is being addressed indirectly through the scaling up of control on the mainland [37, 38], these analyses provide baseline data to inform on the first and third approaches. Screening with rapid diagnostic tests (RDTs) or microscopy at the ports of entry and providing follow-up treatment of infected individuals may play an important role in reducing imported case numbers and outbreaks. Such an approach is being used for all individuals entering the island of Aneityum in Vanuatu , while visitors from Africa were tested at the airports of Oman during its elimination campaign. Moreover, the details of all visitors to Mauritius from endemic regions are recorded and follow-up is undertaken by health surveillance officers . When movement rates are high and resources are limited however, as in the case of Zanzibar, screening all visitors at the ports or providing follow-up may be prohibitively expensive and inefficient due to the large number of low-risk trips undertaken (Figure 6).
Modelling work on achieving and maintaining elimination done for the Zanzibar malaria elimination feasibility assessment suggests that as long as effective coverage with vector control measures is higher than 80%, elimination will be achieved and can be maintained. However, once transmission is reduced to very low levels, scaling down prevention without risking resurgence will only be possible if the importation levels estimated here are lowered considerably [Moonen B, Cohen J, Smith DL, Tatem AJ, Sabot O, Msellem M, Le Menach A, Randell H, Bjorkman A, Ali A: Malaria elimination feasibility assessment in Zanzibar I: Technical feasibility. Malar Journal 2009, in preparation]. Prophylaxis for Zanzibari travellers is unlikely to be cost-effective or even practical given the high frequency of travel to mainly low risk regions. Screening on the ferries, especially of high risk groups during high risk periods of the year, might be a simpler and more cost-effective option compared to screening at the port of entry. Passengers are on the slow and fast ferries for six and two hours, respectively; enough time to administer a short questionnaire a rapid diagnostic test and treatment if necessary. However, better data are necessary to determine the Pf PR in ferry travellers to appreciate the operational consequences of such an approach.
Future work will aim to link the findings here to GIS data on travel networks in the region, and build these into stochastic metapopulation models of transmission, providing flexible tools for elimination planning. Moreover, retrospective analyses of health facility records at Zanzibar malaria early epidemic detection system sites are being undertaken at present, while surveys on the ferries are planned to corroborate and compliment findings here. This work also links into and is complemented by other datasets being gathered and analysed as part of a new research agenda initiated by the Malaria Atlas Project  to quantify human movement patterns in relation to assessment of malaria elimination feasibility.
Malaria elimination requires a significant investment of resources and capacity and, as has been demonstrated twice before on Zanzibar, failure to achieve this ambitious target can lead to fatigue among donors and policymakers and subsequent devastating resurgence of malaria. As more countries across the world make progress toward malaria elimination, there is a need for evidence based and locally-tailored assessments of the feasibility of making the final step in initiating an elimination campaign. With mobile phone uptake continuing to grow around the world, this novel data source has the potential to play a key role in providing such valuable evidence. While 'vulnerability' has been discussed in relation to malaria elimination for decades, the approaches outlined here represent a first step towards finally quantifying it. Replicating and refining these approaches in other areas will enable the development of a standardized methodology for malaria importation risk assessment to aid countries that are considering and planning elimination.
Conflicts of interests
The authors declare that they have no competing interests.
Feachem R, Sabot O: A new global malaria eradication strategy. Lancet. 2008, 371: 1633-1635. 10.1016/S0140-6736(08)60424-9.
Roberts L, Enserink M: Did they really say...eradication?. Science. 2007, 318: 1544-1545. 10.1126/science.318.5856.1544.
Mendis K, Rietveld A, Warsame M, Bosman A, Greenwood BM, Wernsdorfer WH: From malaria control to eradication: the WHO perspective. Trop Med Int Health. 2009, 14: 802-809. 10.1111/j.1365-3156.2009.02287.x.
Pampana E: A textbook of malaria eradication. 1963, Oxford: Oxford University Press
World Health Organization: Global malaria control and elimination: report of a technical review. 2008, Geneva: World Health Organization
Moonen B, Barrett S, Tulloch J, Jamison DT: Making the decision. Shrinking the malaria map: a prospectus on malaria elimination. 2009, San Francisco: University of California, 1-18.
Zanzibar Malaria Control Program: Roll back malaria indicator survey: survey 2007. 2008, Zanzibar: Ministry of Health and SocialWelfare
Bhattarai A, Ali AS, Kachur SP, Martensson A, Abbas AK, Khatib R, Al-Mafazy AW, Ramsan M, Rotllant G, Gerstenmaier JF, Molteni F, Abdulla S, Montgomery SM, Kaneko A, Bjorkman A: Impact of artemisinin-based combination therapy and insecticide-treated nets on malaria burden in Zanzibar. PLoS Med. 2007, 4: e309-10.1371/journal.pmed.0040309.
Hay SI, Guerra CA, Gething PW, Patil AP, Tatem AJ, Noor AM, Kabaria CW, Manh BH, Elyazar IRF, Brooker SJ, Smith DL, Moyeed RA, Snow RW: World malaria map: Plasmodium falciparum endemicity in 2007. PLoS Med. 2009, 6: e1000048-
Schapira A: Prospects for eradication and elimination of malaria: Annexe 2. Opportunities, obstacles and risks for elimination of Plasmodium falciparum malaria in difference countries and regions of the World with currently existing tools. 2007, London: Department for International Development
Julvez J, Mouchet J, Ragavoodoo C: Epidemiologie historique du paludisme dans l'archipel des Mascareignes (Ocean Indien). Ann Soc Belg Med Trop. 1990, 70: 249-261.
Prothero RM: Population movements and problems of malaria eradication in Africa. Bull World Health Organ. 1961, 24: 405-425.
Sivagnanasundaram C: Rates of infection during the 1967-68 P. vivax epidemic in Sri Lanka (Ceylon). J Trop Med Hyg. 1973, 76: 83-86.
Hammadi D, Boubidi SC, Chaib SE, Saber A, Khechache Y, Gasmi M, Harrat Z: Malaria in Algerian Sahara. Bull Soc Pathol Exot. 2009, 102: 185-192.
Brockmann D, Hufnagel L, Geisel T: The scaling laws of human travel. Nature. 2006, 439: 462-465. 10.1038/nature04292.
Brockmann D, Theis F: Money circulation, trackable items, and the emergence of universal human mobility patterns. Pervasive Comput. 2008, 7: 28-10.1109/MPRV.2008.77.
Candia J, Gonzalez MC, Wang P, Schoenharl T, Madey G, Barabasi AL: Uncovering individual and collective human dynamics from mobile phone records. J Phys A Math Gen. 2008, 41: 1-11. 10.1088/1751-8113/41/22/224015.
Gonzalez MC, Barabasi AL: From data to models. Nat Phys. 2007, 3: 224-225. 10.1038/nphys581.
Gonzalez MC, Hidalgo CA, Barabasi AL: Understanding individual human mobility patterns. Nature. 2008, 453: 779-782. 10.1038/nature06958.
Zanzibar Commission for Tourism: Annually recorded number of tourist arrivals in Zanzibar by country 2002-07. 2008, Zanzibar: Zanzibar Commission for Tourism
Zanzibar Ministry of Communications and Transport: Ferry passenger data 2006-2007. 2008, Zanzibar: Zanzibar Ministry of Communications and Transport
Guerra CA, Gikandi PW, Tatem AJ, Noor AM, Smith DL, Hay SI, Snow RW: The limits and intensity of Plasmodium falciparum transmission: implications for malaria control and elimination worldwide. PLoS Med. 2008, 5: e38-10.1371/journal.pmed.0050038.
Guerra CA, Hay SI, Lucioparedes LS, Gikandi PW, Tatem AJ, Noor AM, Snow RW: Assembling a global database of malaria parasite prevalence for the Malaria Atlas Project. Malar J. 2007, 6: 17-10.1186/1475-2875-6-17.
Smith DL, Dushoff J, Snow RW, Hay SI: The entomological innoculation rate and Plasmodium falciparum infection in African children. Nature. 2005, 438: 492-495. 10.1038/nature04024.
Smith DL, McKenzie FE: Statics and dynamics of malaria infection in anopheles mosquitoes. Malar J. 2004, 3: 13-10.1186/1475-2875-3-13.
Smith DL, McKenzie FE, Snow RW, Hay SI: Revisiting the basic reproductive number for malaria and its implications for malaria control. PLoS Biol. 2007, 5: e42-10.1371/journal.pbio.0050042.
Tanser F, Sharp B, le Sueur D: Potential effect of climate change on malaria transmission in Africa. Lancet. 2003, 362: 1792-1798. 10.1016/S0140-6736(03)14898-2.
Tatem AJ, Noor AM, von Hagen C, di Gregorio A, Hay SI: High resolution population maps for low income nations: combining land cover and census in East Africa. PLoS ONE. 2007, 2: e1298-10.1371/journal.pone.0001298.
AfriPop Project. [http://www.afripop.org]
United Nations Population Division: World population prospects, 2008 revision. 2009, New York: United Nations
Hay SI, Noor AM, Nelson A, Tatem AJ: The accuracy of human population maps for public health application. Trop Med Int Health. 2005, 10: 1-14. 10.1111/j.1365-3156.2005.01487.x.
Tanzania Communications Regulatory Authority: Telecommunications statistics as at 31st December 2008. Edited by: TCR. 2009, DarEs Salaam
James J, Versteeg M: Mobile phones in Africa: how much do we really know?. Soc Indic Res. 2007, 84: 117-126. 10.1007/s11205-006-9079-x.
Vodafone: Africa; the impact of mobile phones. Vodafone Policy Papers Series. 2005, : Vodafone Group
Balk DL, Deichmann U, Yetman G, Pozzi F, Hay SI, Nelson A: Determining global population distribution: methods, applications and data. Adv Parasitol. 2006, 62: 119-156. 10.1016/S0065-308X(05)62004-0.
Smith DL, Hay SI: Endemicity response timelines for Plasmodium falciparum elimination. Malar J. 2009, 8: 87-10.1186/1475-2875-8-87.
Stewart L, Gosling R, Griffin J, Gesase S, Campo J, Hashim R, Masika P, Mosha J, Bousema T, Shekalaghe S, Cook J, Corran P, Ghani A, Riley EM, Drakeley C: Rapid assessment of malaria transmission using age-specific sero-conversion rates. PLoS ONE. 2009, 4: e6083-10.1371/journal.pone.0006083.
Okiro EA, Hay SI, Gikandi PW, Sharif SK, Noor AM, Peshu N, Marsh K, Snow RW: The decline in paediatric malaria admissions on the coast of Kenya. Malar J. 2007, 6: 151-10.1186/1475-2875-6-151.
Kaneko A, Taleo G, Kalkoa M, Yamar S, Kobayakawa T, Bjorkman A: Malaria eradication on islands. Lancet. 2000, 356: 1560-1564. 10.1016/S0140-6736(00)03127-5.
Feachem RGA, Phillips AA, Targett GA, (Eds): Shrinking the malaria map: a prospectus on malaria elimination. 2009, San Francisco: The Global Health Group, Global Health Sciences, University of California
Malaria Atlas Project. [http://www.map.ox.ac.uk]
The authors are grateful to Bob Snow and Simon Hay for comments on earlier versions of this manuscript, to the Clinton Foundation for the financial support that facilitated this work, and to Noel Herrity and Shinuna Kassim at Zantel for supply of the data used in the research. AJT and DLS are supported by a grant from the Bill and Melinda Gates Foundation (#49446). This work forms part of the output of the Malaria Atlas Project (MAP, http://www.map.ox.ac.uk), principally funded by the Wellcome Trust, U.K.
AJT conceived, designed and implemented the research and wrote the paper. BM, DS, OS and YQ aided with ideas, methodological and editorial input. BM and AA provided support in data compilation. The final version of the manuscript was seen and approved by all authors.