Abstract

Background: Zika virus is an emerging Flaviviridae virus, which has spread rapidly in the last few years. It has raised concern because it has been associated with fetus microcephaly when pregnant women are infected. The main vector is the mosquito Aedes aegypti, distributed in tropical areas.

Methods: Niche modelling techniques were used to estimate the potential distribution area of A. aegypti. This was overlapped with human population density, determining areas of potential transmission risk worldwide. Afterwards, we quantified the population at risk according to risk level.

Results: The vector transmission risk is distributed mainly in Asia and Oceania on the shores of the Indian Ocean. In America, the risk concentrates in the Atlantic coast of South America and in the Caribbean Sea shores in Central and North America. In Africa, the major risk is concentrated in the Pacific and Atlantic coasts of Central and South Africa. The world population under high and very high risk levels includes 2.261 billion people.

Conclusions: These results illustrate Zika virus risk at the global level and provide maps to target the prevention and control measures especially in areas with higher risk, in countries with less sanitation and poorer resources. Many countries without previous vector reports could become active transmission zones in the future, so vector surveillance should be implemented or reinforced in these areas.

Key Messages

  • Zika virus (ZIKV) could be transmitted to 43.9% of the world population.

  • Around 30.4% of the global human population could be under high or very high risk of ZIKV.

  • Our model of the spatial distribution of Aedes aegypti includes tropical and subtropical areas from 35° north latitude to 35° south latitude in four continents.

  • Some countries have more than 90% of their population under risk of being affected by ZIKV.

Introduction

The Zika virus (ZIKV) has generated global alarm. ZIKV is part of the family Flaviviridae; it was discovered in monkeys in 1947, and human cases were reported in Asia and Africa in the 1960s.1 This virus is transmitted mainly by the bite of the mosquito Aedes aegypti, which has a global distribution.2,Aedes albopictus is also a possible vector in laboratory experiments.3,Aedes aegypti has adapted efficiently to urban areas and feeds mostly indoors on humans, unlike A. albopictus, which is abundant in peridomestic habitats and feeds on a wide range of hosts, mainly mammals.4 ZIKV has been isolated from several species of mosquitoes,5–7 but their vector status remains to be investigated. ZIKV is maintained in a zoonotic cycle between arboreal Aedes spp. mosquitoes and non-human primates in African and Asian forests.7 The reports of ZIKV have increased since 2007, reaching a peak in 2015.8–10 The mechanisms of transmission involved, in addition to direct contact with the vectors, include blood transfusion, perinatal transmission and sexual intercourse.11–16 Human infection with ZIKV can present mild fever, rash, headache, joint pain, muscle pain, malaise and conjunctivitis in adult patients; in pregnant women, the fetus has a high risk of microcephaly.17–19

Kraemer et al.20 studied the distribution of the A. aegypti worldwide and identified the most suitable areas as tropical climate zones; Messina et al.21 recently mapped the global environmental suitability of ZIKV using niche modelling techniques with the global database of Kraemer et al.20, proving its utility and corroborating the previous results. The risk of infection due to ZIKV has not yet been determined in a spatially explicit way, associating the presence of the mosquitoes and the human population. The probability of establishment and spread of an infectious disease depend in many ways on human factors such as sanitation, socio-economic condition (poverty) and access to health services, among others.22,23 The aim of our study was to assess the potential risk of ZIKV vector transmission at the global level, considering A. aegypti as the main vector, and to quantify the number of people exposed to contact with this vector.

Methods

Modelling of the vector distribution

We generated a potential environmental niche model for the vector, using the maximum entropy technique with MaxEnt Software V3.3.3k24,25; linking spatially explicit environmental layers and records of the species, it extrapolates the sites where a species should be present. We used the elevation layer and 19 bioclimatic layers of the WorldClim project, both at 2.5 arc minute spatial resolution worldwide (approximately 5 km*5km cells). The occurrences of A. aegypti were taken from the Global Biodiversity Information Facility species database,26 MosquitoMap27 and Dryad.20 The combined database included 20 203 occurrences.

The preliminary distribution of A. aegypti was modelled initially using all variables (19 bioclimatic plus elevation) with 15 replicates and 500 iterations each, using the cross-validation technique, calculating the variables’ importance in the model. Using R 3.2.2 software, we evaluated the normality of the data with the Shapiro-Wilk test28,29; then we determined the level of correlation between pairs of variables in the presence points using the absolute correlation coefficient.30 The variables were selected according to their importance in the preliminary distribution model, taking into account that their correlation index had to be low (less than ±0.7). The final model was generated using the cross-validation technique with 100 replicates and 500 iterations each, including seven selected variables, corresponding to a 95% confidence model generated from the replicates. Its adjustment was measured by the area under the curve metric (AUC).

Modelling of potential transmission risk for the population due to contact with the vector

We used the Population Density Grid, v3 of 2000, with 2.5 arc minute spatial resolution for the world (http://sedac.ciesin.columbia.edu/data/set/gpw-v3-population-density) generated by the Socioeconomic Data and Application Center (SEDAC) of NASA.31

We used a geographic information system (GIS) to link the probability of presence of the vector with the exposed population. First, we reclassified the probability of presence of the vector, to convert the MaxEnt resulting grid with continuous information into a new discrete grid with levels of presence probability null, low, medium and high, using four equal intervals to assign the thresholds for each level. To evaluate the population at risk, the population density grid was classified in four levels: null (0–1 inhabitants/km2), low (>1–10 inhabitants/km2), medium (>10–100 inhabitants/km2) and high (more than 100 inhabitants/km2), assigning a value to each category (null = 0; low = 1; medium = 2; high = 3). The new discrete grids were multiplied using the Raster Calculator tool (Figure 1). With this product, we estimated the potential ZIKV transmission risk in levels from Null to Very high (Figure 1). Finally, we performed a geographic identification of the zones with major risk of transmission.

Schemes of the raster multiplication process and risk level generation. Left: Double entry matrix generating a linkage grid between the probability of presence of the vector and the population density. The values 0 to 3 represent the four reclassified levels of each variable. Right: Probability of vector transmission according to the result of the grid multiplication, and corresponding risk levels.
Figure 1

Schemes of the raster multiplication process and risk level generation. Left: Double entry matrix generating a linkage grid between the probability of presence of the vector and the population density. The values 0 to 3 represent the four reclassified levels of each variable. Right: Probability of vector transmission according to the result of the grid multiplication, and corresponding risk levels.

Quantification of the exposed human population

The levels of transmission risk were overlapped with a grid of population count by square kilometre. The population grid used was the Global Rural-Urban Mapping Project, Version 1 (GRUMPv1) of NASA.32 This corresponds to an estimate of the population in the year 2000, with a spatial resolution of 30 arc minutes (1 km). The number of inhabitants was counted by country according to level of exposure.

Results

Modelling the vector distribution

The final model had an AUC of 0.746 ± 0.016. None of the included variables had an absolute correlation index greater than 0.7 (Figure 2 and Supplementary Material 2, available as Supplementary Data at IJE online). The most important variables were the mean annual temperature, annual temperature range and precipitation of the wettest month, with 56.3%, 16.6% and 16.6% importance, respectively; these three variables contributed 89.5% to the probability of presence of the vector and 56.6% of the permutation importance in the model (Figure 2). The most suitable conditions for A. aegypti corresponded to high temperatures, with a peak between 18° and 22°C; with low variation of the temperature amplitude, less than 20°C annual range of temperature; and high levels of precipitation, increasing asymptotically, reaching a peak at 600-mm precipitation in the wettest month (Figure 3). The spatial distribution of this mosquito includes tropical and subtropical areas from 35° north latitude to 35° south latitude in four continents, according to the model (Figure 4a).

Correlation panel of Aedes aegypti suitability model variables. The panel shows only the selected variables in the final model. The upper right boxes show the absolute correlation index (r) and its p-value. The diagonal boxes show histograms of each variable and the Shapiro-Wilk test result of each variable (w), with its p-value. The lower left boxes shows the scatter plot of correlation between pairs of variables.
Figure 2

Correlation panel of Aedes aegypti suitability model variables. The panel shows only the selected variables in the final model. The upper right boxes show the absolute correlation index (r) and its p-value. The diagonal boxes show histograms of each variable and the Shapiro-Wilk test result of each variable (w), with its p-value. The lower left boxes shows the scatter plot of correlation between pairs of variables.

Response curves and contribution of the variables in the model of Aedes aegypti. These response curves show how the logistic prediction of the distribution of A. aegypti changes as each environmental variable is varied, keeping all other environmental variables at their average sample value. The Y axis shows the probability of presence expressed in logistic values (0 to 1). Two important metrics appear in the right corner: Percentage of contribution (PC) and Permutation Importance (PI); these are estimates of the relative contribution of the variables to the model.
Figure 3

Response curves and contribution of the variables in the model of Aedes aegypti. These response curves show how the logistic prediction of the distribution of A. aegypti changes as each environmental variable is varied, keeping all other environmental variables at their average sample value. The Y axis shows the probability of presence expressed in logistic values (0 to 1). Two important metrics appear in the right corner: Percentage of contribution (PC) and Permutation Importance (PI); these are estimates of the relative contribution of the variables to the model.

Suitability model of Aedes aegypti. (A) Map of the potential distribution of A. aegypti worldwide. (B) Zoom to areas with higher suitability for the vector in America. (C) Map of the potential distribution in Africa. (D) Zoom to areas with higher suitability for the vector Oceania and Asia.
Figure 4

Suitability model of Aedes aegypti. (A) Map of the potential distribution of A. aegypti worldwide. (B) Zoom to areas with higher suitability for the vector in America. (C) Map of the potential distribution in Africa. (D) Zoom to areas with higher suitability for the vector Oceania and Asia.

In America, the insect would develop essentially in the Atlantic coast, with greater probability of presence in Brazil, Colombia and Venezuela. In Argentina, it would be present only in the extreme north-east areas. Peru and Bolivia would have areas with high probability of presence, mainly in Amazonia. Chile would have low probability of presence of the vector in the north and north-central areas, with high probability in Easter Island. In Central America, the mosquito could be distributed in all its countries, principally on the Caribbean Sea coast. In North America, it would be present in Mexico and the USA, mainly on the Caribbean Sea shores. The probability of presence is very low for the Pacific coast (Figure 4b).

Aedes aegypti predicted distribution in Africa is limited by the Sahara Desert; it would be present from 12° north latitude to 12° south latitude, occupying Central Africa. It would be abundant in both Atlantic and Indian Ocean shores, and present in Madagascar (Figure 4c).

In Asia, it would be present in several countries including India, Burma, Thailand and Cambodia; the Himalayan massif appears as the most important geographic barrier to its dispersion, blocking their passage to north and north-east Asia (Figure 4d).

The insect is predicted to be present in all the islands of Oceania, concentrating in the Philippines, Indonesia and Papua New Guinea. The north-eastern Australian coast has high probability of presence of this mosquito (Figure 4d).

Europe has no considerable chance of presence of the insect, but, in the south of France and Spain, there are some regions with slight probability of presence of the vector (Figure 4c).

Modelling of potential transmission risk for the population due to contact with the vector

Asia concentrates the highest risk levels of vector transmission worldwide, specifically in India and Pakistan, with extremely high risk levels (Figures 5d and 6d). Brazil, Venezuela and Colombia have the highest risk levels in South America, mainly in coastal areas; however, this risk decreases in Amazonia, related to lower human densities in these areas. In Central America, the risk level is generally very high, reaching extremely high values in Haiti and Cuba. In North America, Mexico and the USA have considerable risk, decreasing within the continent, by the reduction of the climatic influence of the Caribbean Sea (Figure 5b).

Transmission risk model of ZIKV due to Aedes aegypti vector. (A) Map of the global transmission risk of ZIKV by A. aegypti. (B) Zoom to areas with higher transmission risk in America. (C) Map of the transmission risk in Africa. (D) Zoom to areas with higher transmission risk in Oceania and Asia.
Figure 5

Transmission risk model of ZIKV due to Aedes aegypti vector. (A) Map of the global transmission risk of ZIKV by A. aegypti. (B) Zoom to areas with higher transmission risk in America. (C) Map of the transmission risk in Africa. (D) Zoom to areas with higher transmission risk in Oceania and Asia.

Estimate of the population potentially exposed to ZIKV. (A) Map of the exposed human population to ZIKV worldwide. (B) Zoom to areas with higher potentially exposed population in America. (C) Map of the exposed human population to ZIKV in Africa. (D) Zoom to areas with higher potentially exposed population to ZIKV in Oceania and Asia.
Figure 6

Estimate of the population potentially exposed to ZIKV. (A) Map of the exposed human population to ZIKV worldwide. (B) Zoom to areas with higher potentially exposed population in America. (C) Map of the exposed human population to ZIKV in Africa. (D) Zoom to areas with higher potentially exposed population to ZIKV in Oceania and Asia.

In Africa, the risk concentrates in the Atlantic coast, with highly populated countries. Near the Indian Ocean, the risk level is lower, but is still quite high (Figure 5c). In Oceania, greater risk levels are largely concentrated in island countries, principally in the Philippines and Indonesia. Australia has lower levels of vector transmission risk because the zones with higher suitability for the vector coincide with low or very low population densities (Figure 5d and 6d). The most affected country in Europe would be Spain. Italy shows areas potentially affected, mainly in the south-west (Figures 4 and 5).

Estimation of the exposed human population

The human population in zones of high and very high transmission risk represents approximately 30.4% of the global human population (2 261 184 280). Roughly 3 billion people may be potentially exposed to some level of ZIKV transmission risk, from low to very high (Table 1).

Table 1

Population exposed to ZIKV: quantification of the exposed human population in millions by continent, grouped by the modelled risk level of ZIKV exposure

ContinentVery highHighMediumLowVery lowTotal
Africa95.37187.43231.0463.107.31584.25
America205.26145.17140.4534.333.03528.24
Asia529.921059.06464.9642.010.432096.38
Europe0.858.0525.304.290.1338.62
Oceania7.623.826.142.640.2020.42
Total839.021403.53867.89146.3711.103267.91
ContinentVery highHighMediumLowVery lowTotal
Africa95.37187.43231.0463.107.31584.25
America205.26145.17140.4534.333.03528.24
Asia529.921059.06464.9642.010.432096.38
Europe0.858.0525.304.290.1338.62
Oceania7.623.826.142.640.2020.42
Total839.021403.53867.89146.3711.103267.91
Table 1

Population exposed to ZIKV: quantification of the exposed human population in millions by continent, grouped by the modelled risk level of ZIKV exposure

ContinentVery highHighMediumLowVery lowTotal
Africa95.37187.43231.0463.107.31584.25
America205.26145.17140.4534.333.03528.24
Asia529.921059.06464.9642.010.432096.38
Europe0.858.0525.304.290.1338.62
Oceania7.623.826.142.640.2020.42
Total839.021403.53867.89146.3711.103267.91
ContinentVery highHighMediumLowVery lowTotal
Africa95.37187.43231.0463.107.31584.25
America205.26145.17140.4534.333.03528.24
Asia529.921059.06464.9642.010.432096.38
Europe0.858.0525.304.290.1338.62
Oceania7.623.826.142.640.2020.42
Total839.021403.53867.89146.3711.103267.91

Asia is the continent with the highest number of people potentially infected (including all risk levels). India is the country with most people potentially affected worldwide, followed by China and Indonesia (Figure 6d). America follows in the number of people potentially infected; the country with most affected people is Brazil. Only Canada does not show population potentially affected in our prediction (Figure 6a). Africa has also a considerable number of inhabitants exposed to very high risk levels, and 56 countries could be affected (Figure 6c). Most of the people potentially affected by ZIKV in Oceania are in Australia and Thailand; only some islands will not be affected, mainly located in the north-western Pacific Ocean. In comparison, Europe has lower numbers of people exposed (Figure 6 and Table 1).

Our model indicates that 43.9% of the world population can be potentially affected by ZIKV, distributed in 178 countries (Supplementary Material 1, available as Supplementary Data at IJE online).

Discussion

About the model

Niche modelling has become one of the most widely used methods worldwide for ecologists to study the spatial distribution of organisms.33–37 Recently, the potential of this methodology to assess the distribution of vectors of infectious diseases worldwide was demonstrated.20,21 Our study used the MaxEnt 3.3.3 k software as the method of species distribution modelling, which has been evaluated over other methodologies, showing better performance for modelling disease vectors.38–46

Our model used a database of 20 203 occurrences, representing the largest database used for modelling of A. aegypti distribution worldwide. The relevance of the variables used was similar to that of Kraemer’s model, with the annual mean temperature as an important factor in the distribution of A. aegypti; in our model, this variable had 56.3% of the weight. Our resulting spatial distribution of the vector is similar to that of Kraemer et al.20; the main differences reside in the selected variables and in the spatial configuration and magnitude of probabilities of the vector’s presence: in South Africa and Brazil, it showed slightly higher probabilities than the model of Kraemer et al.20 We avoid using land-cover or vegetation indices as variables, given that the presence database has records from 1960 to 2016, and those variables’ values change very quickly, so, if current values are attributed to a presence point that had a very different value when it occurred, it could generate bias. However, our model is similar in distribution of that of Kreamer et al.20, which probably relates to the lower degree of importance that land-cover and vegetation variables had in their model, hence the bioclimatic variables used in both models account for their similarity.

The scale of analysis represents an important factor in the choice of variables. Pearson and Dawson47 argue that, on a large scale (over 2000 km study area), the distribution is mainly explained by climate; so we chose to work mainly with bioclimatic layers. In addition to these, other variables could influence the spatial distribution of the vector, such as availability of reproduction sites for the vector that could be related to the availability of sanitation or sewage systems48; unfortunately, they were not available in a spatially explicit manner on a global scale.

In the studies of Kraemer et al.20 and Messina et al.21, the probability of occurrence of the vector was assessed, but the human population exposed to this threat was not evaluated. Vries49 developed a spatially explicit risk model of malaria in Kenya without using niche modelling, using a classification of a number of coverages based on the suitability of the insect in each; then he compared this level of suitability with the population exposed to the vector. The present study used the MaxEnt technique to evaluate the level of the vector’s habitat suitability, and combined the interaction with the spatial distribution of human population, measured as human density.

Our estimation of the population at risk could be considered conservative because the database of CIESIN-IFPRI-World Bank-CIAT27 was built with an estimate of the world population of the year 2000. Considering that the population has increased about 20%,50 we expect the number of potentially affected people to be higher. Our model did not consider other ZIKV vector species or person-to-person transmission pathways, which could also increase the population at risk. We assumed that all A. aegypti mosquitoes are potential vectors of the disease, in the same way as Messina et al.21 Since only the females can actually transmit the virus by biting, we could be overestimating the risk; however, at this scale of analysis, there should be no difference in the environmental conditions preferred by females or males51 and there are suspicions of rapid seasonal amplification of the virus, probably due to efficient vertical transmission to their progeny (including males) and/or maintenance in vertebrate reservoirs.1,7

Public health repercussions

Our model predicted that over 2.261 billion people live in sites at high or very high risk of transmission of ZIKV—greater than the Messina et al.21 estimate. If we consider the overall risk of vector transmission, the population exposed could reach 3.267 billion people, representing around 43.9% of the world population in 2016. Recently, WHO17 released a global alert for the expansion of the virus worldwide, and recommended that affected countries perform a series of actions to reduce the risk of infection. In the present study, we show that the transmission risk by A. aegypti is not homogeneous throughout the tropics, depending on the abundance of both the vector and the human population, although the number of people actually affected will be largely influenced by the control actions implemented by each government. The responses recommended by WHO are focused on preventing and managing medical complications by targeting pregnant women; by sexual and reproductive health education and care; and by integrated mosquito management.17 If there are short budgets for implementing these actions, it may create conditions that increase the risk and the probability of spread of the vector, along with unsanitary conditions, overcrowding and hospital deficits, particularly of populations in urban slums and other densely populated areas.17 There was no information available about the gender distribution worldwide in a spatially explicit way, so we could not stratify the risk by vulnerable group. We provide a worldwide map of risk in downloadable format at 5-km2 pixel as a tool for management of the disease and public health (see Supplementary Material 3, available as Supplementary Data at IJE online).

By the end of 2015, there were 49 countries/territories with active transmission of ZIKV.52 The data presented in our study suggest that 170 countries are at risk of vector transmission (Supplementary Material 1 and 3, available as Supplementary Data at IJE online). Our prediction is partially consistent with the diagnosis made by WHO,17 differing in the countries without risk of infection; in our study, in America, only Canada will have null vector transmission risk by A. aegypti. We found that Chile would have suitable sites for the vector, which was shown to be true in April 2016, with A. aegypti findings in Arica, a city near Peru53; these presence points were not available to be included in our model’s database, which confirms the validity of our prediction.

The virus has spread worldwide, with a significant proportion of the global population exposed to risk. Various agencies and governments must join forces to control the virus, especially in zones with higher risk, in countries with less sanitation and poorer resources.

Funding

This work was supported by Fondo Nacional de Desarrollo de Ciencia y Tecnología FONDECYT (grant number 1140650) to A.B. and P.E.C.

Acknowledgements

To Dr Antonio O. Soares for his comments and corrections. To Romina P. Lazo and Andrés Aviles for helping with the grammar and translation of this document.

Conflict of interest: The authors have no conflicts of interest to declare.

References

1

Vorou
R
.
Zika virus, vectors, reservoirs, amplifying hosts, and their potential to spread worldwide: what we know and what we should investigate urgently
.
Int J Infect Dis
2016
;
48
:
85
90
.

2

Hayes
EB
.
Zika virus outside Africa
.
Emerg Infect Dis
2009
;
15
:
1347
50
.

3

Wong
PSJ
,
Li
M
,
Zhi
I
et al.
Aedes (Stegomyia) albopictus (Skuse): a potential vector of Zika virus in Singapore
.
PLoS Negl Trop Dis
2013
;
7
:
1
5
.

4

Marcondes
CB
,
Ximenes M de
FF de M
.
Zika virus in Brazil and the danger of infestation by Aedes (Stegomyia) mosquitoes
.
Rev Soc Bras Med Trop
2015
;
49
:
4
10
.

5

Faye
O
,
Diallo
D
,
Diallo
M
et al.
Quantitative real-time PCR detection of Zika virus and evaluation with field-caught mosquitoes
.
Virol J
2013
;
10
:
311
.

6

Faye
O
,
Freire
CCM
,
Iamarino
A
et al.
Molecular evolution of Zika virus during its emergence in the 20th century
.
PLoS Negl Trop Dis
2014
;
8
:
36
.

7

Diallo
D
,
Sall
AA
,
Diagne
CT
et al.
Zika virus emergence in mosquitoes in Southeastern Senegal, 2011
.
PLoS ONE
2014
;
9
:
4
11
.

8

Kim
E
,
Tm
S
,
Myco
RGM
.
Zika virus
.
Emerg Infect Dis
2014
;
20
:
1090
.

9

Musso
D
,
Roche
C
,
Robin
E
et al.
Potential sexual transmission of Zika virus
.
Emerg Infect Dis
2015
;
21
:
359
61
.

10

Rodriguez-Morales
AJ
.
Dengue and Chikungunya were not enough: now also Zika arrived
.
iMedPub Journals-Archivos Med
2015
;
11
:
1
4
.

11

Foy
BD
,
Kobylinski
KC
,
Foy
JLC
et al.
Probable non-vector-borne transmission of Zika virus, Colorado, USA
.
Emerg Infect Dis
2011
;
17
:
880
2
.

12

Li
M
,
Wong
PSJ
,
Ng
LC
et al.
Oral susceptibility of Singapore Aedes (Stegomyia) aegypti (Linnaeus) to Zika virus
.
PLoS Negl Trop Dis
2012
;
6
:
e1792
.

13

Besnard
M
,
Lastère
S
,
Teissier
A
et al.
Evidence of perinatal transmission of Zika virus, French Polynesia, December 2013 and February 2014
.
Euro Surveill
2014
;
19
:
pii=20751
.

14

Musso
D
,
Nhan
T
,
Robin
E
et al.
Potential for Zika virus transmission through blood transfusion demonstrated during an outbreak in French Polynesia, November 2013 to February 2014
.
Euro Surveill
2014
;
19
:
pii=20761
.

15

Mansuy
JM
,
Dutertre
M
,
Mengelle
C
et al.
Zika virus: high infectious viral load in semen, a new sexually transmitted pathogen?
.
Lancet Infect Dis
2016
;
16
:
405
.

16

Hazin
AN
,
Poretti
A
,
Di Carvalcanti
D
et al.
Computed tomographic findings in microcephaly associated with Zika virus
.
N Engl J Med
2016
;
374
:
1
3
.

17

World Health Organization
.
Zika virus
.
http://www.who.int/mediacentre/factsheets/zika/en/ (5 February 2016, date last accessed)
.

18

Mlakar
J
,
Korva
M
,
Tul
N
et al.
Zika virus associated with microcephaly
.
N Engl J Med
2016
;
374
:
951
8
.

19

Oliveira Melo
AS
,
Malinger
G
,
Ximenes
R
et al.
Zika virus intrauterine infection causes fetal brain abnormality and microcephaly: Tip of the iceberg?
.
Ultrasound Obstet Gynecol
2016
;
47
:
6
7
.

20

Kraemer
MUG
,
Sinka
M
,
Duda
KA
et al.
The global distribution of the arbovirus vectors Aedes aegypti and Ae. Albopictus
.
eLife
2015
;
4
:
1
18
.

21

Messina
JP
,
Kraemer
MUG
,
Brady
O
et al.
Mapping global environmental suitability for Zika virus
.
eLife
2016
;
5
:
e15272
.

22

Alsan
MM
,
Westerhaus
M
,
Herce
M
et al.
Poverty, global health and infectious disease: lessons from Haiti and Rwanda
.
Infect Dis Clin North Am
2011
;
25
:
611
22
.

23

Xia
S
,
Allotey
P
,
Reidpath
DD
et al.
Combating infectious diseases of poverty: a year on
.
Infect Dis Poverty
2013
;
2
:
27
.

24

Phillips SJ, Anderson RP, Schapire SP. Maximum entropy modeling of species geographic distributions. Ecol Modell 2006;190:231–59.

25

Phillips
SJ
,
Dudik
M
,
Schapire
RE
.
A maximum entropy approach to species distribution modeling
. In:
Proceedings of the Twenty-First International Conference on Machine Learning
,
2004
, pp.
655
62
.

26

Global Biodiversity Information Facility-GBIF.org GBIF Occurrence
.
http://doi.org/10.15468/dl.vij0ap (24 May 2016, date last accessed)
.

27

Foley
DH
,
Wilkerson
RC
,
Birney
I
et al.
MosquitoMap and the Mal-area calculator: new web tools to relate mosquito species distribution with vector borne disease
.
Int J Health Geogr
2010
;
9
:
1
8
.

28

Royston
P
.
An extension of Shapiro and Wilks’s W test for normality to large samples
.
J Appl Statist
1982
;
31
:
115
24
.

29

Royston
P
.
A simple method for evaluating the Shapiro–Francia W’ test of non-normality
.
Statistician
1983
;
32
:
297
300
.

30

Bradley
C
.
The absolute correlation coefficient
.
Math Gazette
1985
;
69
:
12
17
.

31

Center for International Earth Science Information Network (CIESIN), Columbia University and Centro Internacional de Agricultura Tropical (CIAT)
.
Gridded Population of the World Version 3 (GPWv3): Population Density Grids. Palisades, NY: Socioeconomic Data and Applications Center (SEDAC), Columbia University. http://sedac.ciesin.columbia.edu/data/set/gpw-v3-population-density/data-download 2005 (25 January 2017, date last accessed)
.

32

Center for International Earth Science Information Network (CIESIN), Columbia University; International Food Policy Research Institute (IFPRI); the World Bank; and Centro Internacional de Agricultura Tropical (CIAT)
.
Global Rural-Urban Mapping Project, Version 1 (GRUMPv1): Population Count Grid. Palisades, NY: Socioeconomic Data and Applications Center (SEDAC), Columbia University. http://sedac.ciesin.columbia.edu/data/set/grump-v1-population-count 2011 (25 January 2017, date last accessed)
.

33

Hirzel
AH
,
Le Lay
G
.
Habitat suitability modelling and niche theory
.
J Appl Ecol
2008
;
45
:
1372
81
.

34

Ferraz
KMPM de B
,
Ferraz
SF de B
,
de Paula
RC
et al.
Species distribution modeling for conservation purposes
.
Nat a Conserv
2012
;
10
:
214
20
.

35

Zhang
M-G
,
Zhou
Z-K
,
Chen
W-Y
et al.
Using species distribution modeling to improve conservation and land use planning of Yunnan, China
.
Biol Conserv
2012
;
153
:
257
64
.

36

Pyke
CR
,
Andelman
SJ
,
Midgley
G
.
Identifying priority areas for bioclimatic representation under climate change: a case study for Proteaceae in the Cape Floristic Region, South Africa
.
Biol Conserv
2005
;
125
:
1
9
.

37

Franklin
J
.
Species distribution models in conservation biogeography: developments and challenges
.
Divers Distrib
2013
;
19
:
1217
23
.

38

Elith
J
,
Kearney
M
,
Phillips
S
.
The art of modelling range-shifting species
.
Methods Ecol Evol
2010
;
1
:
330
42
.

39

Hernandez
PA
,
Graham
CH
,
Master
LL
et al.
The effect of sample size and species characteristics on performance of different species distribution modeling methods
.
Ecography
2006
;
29
:
773
85
.

40

Wisz
MS
,
Hijmans
RJ
,
Li
J
et al.
Effects of sample size on the performance of species distribution models
.
Divers Distrib
2008
;
14
:
763
73
.

41

Larson
SR
,
DeGroote
JP
,
Bartholomay
LC
et al.
Ecological niche modeling of potential West Nile virus vector mosquito species in Iowa
.
J Insect Sci
2010
;
10
:
110
.

42

Rapacciuolo
G
,
Roy
DB
,
Gillings
S
et al.
Climatic associations of British species distributions show good transferability in time but low predictive accuracy for range change
.
PLoS ONE
2012
;
7
:
e40212
.

43

Illoldi-Rangel
P
,
Rivaldi
C
,
Sissel
B
et al.
Species distribution models and ecological suitability analysis for potential tick vectors of Lyme disease in Mexico
.
J Trop Med
2012
;
2012
:
959101
.

44

Aguirre-Gutiérrez
J
,
Carvalheiro
LG
,
Polce
C
et al.
Fit-for-purpose: species distribution model performance depends on evaluation criteria—Dutch hoverflies as a case study
.
PLoS ONE
2013
;
8
:
e63708
.

45

Dicko
AH
,
Lancelot
R
,
Seck
MT
et al.
Using species distribution models to optimize vector control in the framework of the tsetse eradication campaign in Senegal
.
Proc Natl Acad Sci U S A
2014
;
111
:
10149
54
.

46

Conley
AK
,
Fuller
DO
,
Haddad
N
et al.
Modeling the distribution of the West Nile and Rift Valley Fever vector Culex pipiens in arid and semi-arid regions of the Middle East and North Africa
.
Parasit Vectors
2014
;
7
:
289
.

47

Pearson
RG
,
Dawson
TP
.
Predicting the impacts of climate change on the distribution of species: are bioclimate envelope models useful?
.
Glob Ecol Biogeogr
2003
;
12
:
361
71
.

48

Costa
EAP de A
,
Santos
EM de M
,
Correia
JC
et al.
Impact of small variations in temperature and humidity on the reproductive activity and survival of Aedes aegypti (Diptera, Culicidae)
.
Rev Bras Entomol
2010
;
54
:
488
93
.

49

Vries
P
.
Modelling malaria risk: an individual based and spatial explicit approach. Workshop on Spatial Aspects of Demography: 1–14. http://www.demogr.mpg.de/Papers/workshops/010516_paper04.pdf. 2001 (25 January 2017, date last accessed)
.

50

UN, Dept. of Economic and Social Affairs, Population Division
.
World Population Prospects: The 2012 Revision
.
Note: 1950–2010 are estimates and from 2011–2100 are projected populations in the medium-fertility variant. 2013
.

51

Wongkoon
S
,
Jaroensutasinee
M
,
Jaroensutasinee
K
.
Distribution, seasonal variation & dengue transmission prediction in Sisaket, Thailand
.
Indian J Med Res
2013
;
138
:
347
53
.

52

CDC (Centers for Disease Control and Prevention) (2016)
All Countries & Territories with Active Zika Virus Transmission
.
http://www.cdc.gov/zika/geo/active-countries.html (16 January 2017, date last accessed)
.

53

ISPCH
.
Resultados de diagnóstico y confirmación de Culícidos. Chile, 2010–2016
.
Boletín
2016
;
6
:
1
11
. .

Supplementary data