Abstract
Before its eradication from North America, the subtropical‐tropical new world screwworm fly Cochliomyia hominivorax (Coquerel) invaded southwestern temperate areas of the U.S.A., where it caused myiasis in wildlife and livestock. Outbreaks of the fly occurred during years when adult migrants were carried northward on North American monsoon winds from the northern areas of Mexico and south Texas. We deconstruct, retrospectively, the biology and the effect of weather on the eradication of the fly in North America. Screwworm was found to be an ideal candidate for eradication using the sterile insect technique (SIT) because females mate only once, whereas males are polygynous, and, although it has a high reproductive potential, field population growth rates are low in tropical areas. In northern areas, eradication was enhanced by cool‐cold weather, whereas eradication in tropical Mexico and Central America is explained by the SIT. Despite low average efficacy of SIT releases (approximately 1.7%), the added pressure of massive SIT releases reduced intrinsically low fly populations, leading to mate‐limited extinction. Non‐autochthonous cases of myiasis occur in North America and, if the fly reestablishes, climate warming by 2045–2055 will expand the area of favourability and increase the frequency and severity of outbreaks.
Keywords: Allee effect, climate change, eradication, physiologically based modelling, sterile insect technique
Deconstruction of the invasion biology of new world screwworm explains the role of North American monsoons with respect to its dynamics and eradication using the sterile insect technique (SIT).
SIT programme myiasis data explained the time lagged effects of weather on observed and potential myiasis outbreaks in Texas. A demographic model explained the fly dynamics in tropical regions.
The efficacy of sterile fly releases was assessed and the effects of climate change on the potential expansion of the fly's geographical range in North America were estimated.

Prelude to the 1972 outbreak
‘Three tropical storms moved inland along the Texas and northeastern Mexico Gulf Coast in the late summer and autumn of 1971. There was an abundance of rain. The screwworm population began to build up despite releases of 1,140 to 1,520 sterile flies per square kilometer, averaging 135.3 million weekly’ (Novy, 1991)
Introduction
The new world screwworm fly Cochliomyia hominivorax (Coquerel) is a subtropical‐tropical species of the Americas (Baumhover, 2002; Comis et al., 2012; OIE, World Organisation for Animal Health, 2013). Females oviposit in wounds of wildlife, livestock and pets, as well as occasionally humans, and, if untreated, the hatching larvae may cause severe myiasis and death. The fly was eradicated from North America to the Darien Gap in Panama (Wyss, 2000) using releases of large numbers of irradiated sterile flies (i.e. the sterile insect technique, SIT) targeting unmated adult females (Knipling, 1955), establishment of quarantine areas to prevent the introduction of infested animals, and chemical treatment of infested livestock that killed larval stages and possibly adults feeding on serous fluid in wounds (Laake, 1950; Klassen & Curtis, 2005). Eradication efforts began in Florida in 1957 and in Texas in 1962, and subsequently progressed through Mexico during the 1980s to south Panama in the late 1990s (Wyss, 2000), where ongoing containment efforts continue to keep the fly from reinvading northward (Maxwell et al., 2017). The last reported autochthonous case of screwworm myiasis in Southwest (SW) U.S.A. occurred in 1982 (Novy, 1991). However, the fly is endemic to the Caribbean and South America (Laake, 1950; Baumhover, 2002; Comis et al., 2012) and non‐autochthonous cases of myiasis are occasionally reported in the U.S.A. (USDA‐APHIS, United States Department of Agriculture – Animal and Plant Health Inspection Service, 2017a). Eradication of the fly cost more than 750 million US dollars (Gutierrez & Ponti, 2014), removing an important economic constraint on the livestock sector (Vargas‐Terán et al., 2005) and infestations in wildlife. Although not completely attributable to eradication, cattle production in Texas increased from 6.53 million head in 1974 (E. S. Krafsur, personal communication) to 12.32 million in 2016 (USDA, United States Department of Agriculture, 2016).
The present study builds upon the analysis reported by Gutierrez & Ponti (2014) concerning the role of SIT and weather on the eradication of the fly in North America. Specifically, we link the effects of the North American Monsoons (NAMS) to screwworm myiasis outbreaks, and explain why, despite massive releases of sterile adults, outbreaks of myiasis occurred during the 1962–1982 eradication period in the SW U.S.A. (Novy, 1991). We estimate (albeit roughly) the efficacy of SIT releases and map the potential expansion of the fly's geographical range in the U.S.A. under projected climate warming should reinvasion occur.
The biology of screwworm was reviewed and a model of its population dynamics based on available data in the literature was developed by Gutierrez & Ponti (2014); both are only briefly reported here.
Biology and migration of screwworm
Males have a promiscuous mating behaviour (polygyny), whereas females mate only once. This mating biology was a key factor in the eradication success because matings between sterile males and wild females yield non‐viable eggs (Knipling, 1955). Adult male flies feed at flowers and live for 2–3 weeks, whereas adult females live approximately 10 days on average, feeding on serous fluids at animal wounds and decomposing animals (Thomas & Mangan, 1989; OIE, World Organisation for Animal Health, 2013). Approximately 3–4 days after mating, female flies begin to seek wounds on vertebrates to lay large batches of eggs but, because the species is autogenous, females can complete two or three vitellogenic cycles without a protein meal (Crystal, 1966). Under field conditions in Central America, the half‐life of mated wild female is 3.7 days, with a mean age at wounds of 7.5 days and a maximum age of 21 days (Thomas & Chen, 1990).
Screwworm females are attracted to wounds that may be as small as those caused by the feeding of the invasive cattle tick Rhipicephalus (Boophilus) microplus (OIE, World Organisation for Animal Health, 2013), which has periodic outbreaks in Mexico and south Texas (Pérez de León et al., 2012). Feeding by screwworm larvae expands the wound (myiasis) attracting further oviposition and, if not treated, this may cause the death of the animal.
The effects of temperature
Screwworm is a cold intolerant species that has high lower and upper developmental thermal thresholds (14.5 and 43.5 °C, respectively) with the optimal temperature for survival and adult reproduction being approximately 27.5 °C (data from Adams, 1979; Berkebile et al., 2006). The egg and larval stages develop on/in the host at host body temperature and, at maturity, the larvae drop to the ground to pupate. Pupae and free‐living adults experience near ambient temperatures.
The daily mortality rate of pupae and adults [µadult(T)] per day at different temperatures (T) was captured by a symmetrical convex function fitted to laboratory data (Adams, 1979; Berkebile et al., 2006) (Eqn (1), see Gutierrez & Ponti, 2014).
| (1) |
In the model, we focus on the limiting effects of average ambient daily temperatures T < 27.2 °C that reduce reproduction and survival, especially during the critical autumn–winter period. Temperatures of T ≥ 27.2 °C in summer also affect the fly demographic rates, although such temperatures are generally not limiting (Gutierrez & Ponti, 2014). To capture the limiting effects of colder temperatures, the daily values of µadult(T < 27.2°C) were summed over the year [i.e. µcold(y)] (Eqn (2) for each of the 20 335 lattice cells (25 km2) across the continental U.S.A. and Mexico during the period 1975–2005.
| (2) |
Gutierrez & Ponti (2014) estimated that an average value of was a good metric defining the geographical limits for screwworm year round survival (endemicity) that accorded well with field observations. Using this metric, cold weather on average restricts the area of fly endemicity in North America to south Texas and much of Florida, a broad north‐south band of eastern Mexico (the states of Nuevo Leon, Tamaulipas and Veracruz), the Yucatan Peninsula, and tropical south Mexico (Area I), as well as to Baja California and western coastal Mexico (Area II) (Fig. 1A). Higher elevations of Mexico may also be outside of the favourable zone of endemicity (Fig. 1B). We designate the northern reaches of Areas I and II as transition zones of fly persistence.
Figure 1.

(A) Areas I and II of screwworm endemicity in the U.S.A. and Mexico based on average. for the period 1975–2005 [Eqn (2) (Gutierrez & Ponti, 2014)]. Unshaded grey areas have 10 and are unfavourable. Also shown is the reference area in Northwest (NW) Mexico (dashed rectangle) used to categorize North American Monsoons (NAMS) (Arias et al., 2012) and the location of McAllen, Texas (•) in the transition zone of Area I. The topography of Mexico is shown in (B) (https://www.lib.utexas.edu/maps/atlas_mexico/topography.jpg) (m.a.s.l.). [Colour figure can be viewed at http://wileyonlinelibrary.com].
Adult dispersal and migration
Mated adult females have high disperal capacity, whereas males exhibit an aggregation–wait station behaviour that greatly limits their dispersal (Krafsur, 1978). In the tropics, fly numbers are consistently higher in forest habitats (Phillips et al., 2004). In warm humid areas with a high density of animals, dispersal of females is approximately 3 km, although a dispersal of 10–20 km has been reported, with distances of 300 km being documented in arid environments with dispersal aided by prevailing winds that may enable flights across open water (Barrett, 1937; Deonier, 1942; Hightower et al., 1965; Mayer & Atzeni, 1993; Skoda et al., 2017).
Historically, the first cases of myiasis in the U.S.A. were reported in south Texas (and south Florida) during mid‐winter and, during some years, the infestations spread northward in Texas and neighbouring states but subsided in the autumn as temperatures cooled [Eqn (2) (Baumhover, 2002; Comis et al., 2012)]. Reinvasion of non‐endemic areas of the SW U.S.A. during the late spring to autumn period is assumed to be enhanced by NAMS winds (Fig. 2) (Gutierrez & Ponti, 2014). Arias et al. (2012) classified NAMS as being wet or dry based on weather in a rectangular area of Northwest (NW) Mexico (20°N 107°W, 22°N 101°W, 32°N 106°W, 30°N 112°W) (Fig. 1A). Although less impressive than the Asian monsoons, wet NAMS regimes (storms) produce northward surges of relatively cool, moist maritime air from the eastern tropical Pacific into the SW U.S.A. via the Gulf of California (Fig. 2A), although some wet NAMS may also draw atmospheric moisture from the Gulf of Mexico (Fig. 2B) (Carleton et al., 1990; Douglas et al., 1993; Stensrud et al., 1995; Adams & Comrie, 1997; Wright et al., 2001; Higgins et al., 2004; Vera et al., 2006). Wide variations of NAMS occur on intra‐seasonal and decadal time‐scales and are related to the frequency of gulf surges and the latitudinal position of the subtropical ridge during the late June to September period. The Julian dates (from 1 January) for the onsets and retreats of NAMS and the associated total amount of monsoon rainfall (mm) during 1948–2010 are shown in Fig. 3A (data from Arias et al., 2012). Wet NAMS have early seasonal onset and late retreat, and the prevailing winds are anticyclonic and generally flow in a northward direction. By contrast, dry NAMS have late seasonal onset and early retreats, low rainfall, and prevailing winds are often in a southward direction (Fig. 2C). We use total rainfall in the reference area as a surrogate metric for the strength of annual NAMS, as well as for the dominant direction of storm wind flow favourable for fly movement.
Figure 2.

Schematics of typical lower‐troposphere (700 hPa) circulation of air flow (heavy solid arrows line) during: (A, B) wet and (C) dry North American Monsoons (NAMS) events relative to the position of areas of summer high (H) and low (L) surface pressure (maps modified from http://www.cpc.ncep. http://noaa.gov/products/outreach/Report-to-the-Nation-Monsoon_aug04.pdf; http://www.wrh.noaa.gov/twc/monsoon/monsoon_NA.php).
Figure 3.

Data on North American Monsoons (NAMS) weather, cases of screwworm myiasis and releases of sterile flies used in the analysis. (A) Julian dates of onset (solid) and retreat (dashed) of annual NAMS and associated rainfall totals in Northwest (NW) Mexico (shaded) during 1948–2010 (Arias et al., 2012). (B) Total number of annual cases of screwworm myiasis in the U.S.A. (dashed) and total number of sterile flies released by the sterile insect technique (SIT) eradication programme (solid) (Novy, 1991).
Methods
Myiasis data
During the SIT programme, larval samples (cases of myiasis) submitted by stockmen during the eradication period (1962–1983) were used to document the geographical distribution and relative levels of myiasis, as well as to target sterile fly releases (E. S. Krafsur, personal communication). Totals of myiasis cases reported in the SW U.S.A. during the 1962–1980 eradication period and the total annual number of sterile insects of both sexes released are shown in Fig. 3B (Novy, 1991; Gutierrez & Ponti, 2014) (see also the ratio data in Fig. SM1 in the Supporting information, File S1). Approximately 96% of the cases were reported from Texas, and hence this area is a major focus of the present study. The myiasis data implicitly include weather and migration effects, stockmen reporting bias, and the effects of SIT releases of hundreds of millions of adult sterile males and females. The myiasis data are monthly county level totals, georeferenced to the county seat, and are mapped as yearly log10(total cases of myiasis + 1). Data for the 1962 and 1972 outbreaks were further summarized on a weekly and monthly basis respectively, and were mapped to illustrate the time development of the infestations across Texas. The myiasis data are available on request in excel format (Microsoft Corp, Redmond, WA, USA).
Weather data
Observed daily weather data (maximum–minimum temperature and rainfall) for McAllen, Texas for the 1 January 1942 to 31 June 2017 were obtained from the Global Historical Climatology Network – Daily (GHCN‐Daily, Version 3) (Gutzler et al., 2005; Menne et al., 2012a, 2012b; Arias et al., 2012; see supplemental materials, File S1). Daily maximum–minimum temperature and rainfall data for the historical period 1975–2005 and for the future period 2045–2075 at each of 20 355 lattice cells of approximately 25 km2 (spatial resolution 0.25°) across the U.S.A. and Mexico were obtained from the National Aeronautics and Space Administration (NASA) Earth Exchange Global Daily Downscaled Projections (NEX‐GDDP) dataset (Thrasher et al., 2012; https://nex.nasa.gov/nex/projects/1356/). The NEX‐GDDP dataset includes global downscaled climate scenarios that are derived from the General Circulation Model (GCM) runs conducted under the Coupled Model Intercomparison Project Phase 5 (CMIP5) (Taylor et al., 2012). Specifically, we use climate model data from the Max Planck Institute Earth System Model low resolution (MPI‐ESM‐LR) GCM, forced by the Representative Concentration Pathway 8.5 (RCP 8.5), a scenario of high greenhouse gas emissions relative to other RCPs (Riahi et al., 2011), as downscaled in the NEX‐GDDP dataset. Sheffield et al. (2013) evaluated historical simulations of North American climate in CMIP5 experiments using continental metrics of bias relative to weather observations and showed that MPI‐ESM‐LR is the top ranked among the core set of 17 GCMs considered, with a particularly good performance in terms of temperature. The NEX‐GDDP dataset also provides a set of global, high resolution, bias‐corrected climate change projections for use when assessing climate change impacts on processes that are sensitive to finer‐scale climate and local topography, including biological processes of poikilotherm organisms such as screwworm. Downscaling (i.e. increasing the spatial resolution) of GCM output addresses two primary limitations: the relatively coarse spatial resolution of most GCMs (e.g. hundreds of km) and their statistical bias compared with observations (Thrasher et al., 2012).
Results
Our analysis initially focuses on the dynamics of myiasis outbreaks in Texas, and subsequently explores the dynamics of SIT eradication in tropical Mexico.
Analysis of myiasis outbreaks in Texas
Despite massive releases of sterile flies, five peaks of myiasis of varying intensity occurred during the 1962–1982 eradication period: 1962, 1968, 1972, 1975–1976 and 1978 (Fig. 3B). A small outbreak in 1978 was mostly a result of cases from Arizona and New Mexico. Prior analysis of the same myiasis data (Gutierrez & Ponti, 2014) suggested that cold weather and total rainfall at McAllen, Texas during the previous year (y − 1) could be used as predictors of screwworm myiasis outbreaks in Texas during the current year (y).
In the present study, log10 cases of myiasis(y) in year (y) were regressed on (a) the dates in five‐day intervals (pentads) of the onset and retreat of NAMS; (b) their duration; (c) total rainfall (mm) in the NW Mexico reference area (data from Arias et al., 2012) (Fig. 2A); (d) yearly estimates of µcold at McAllen, Texas, as a measure of temperature conditions in the north transition zone (Area I); and (e) yearly log10 sterile insects released. We note that total rainfall in NW Mexico during the eradication period is correlated to the duration of NAMS in pentads (r 2 = 0.71) (Fig. 4A), although the relationship for the 1948–2010 period is weaker (r 2 = 0.56).
Figure 4.

Linear regressions of factors affecting screwworm myiasis. (A) Total monsoon rainfall on the duration of North American Monsoons (NAMS) in pentads (5‐days increments) in Northwest (NW) Mexico (
, 1961–1983;
and
, 1948–2010; data from Arias et al., 2012). (B) Regression of log10 cases of myiasis in year y in the Southwest (SW) U.S.A. on cumulative daily mortality rates (µcold(y – 1)) and (C) log10 cases of myiasis in year y on total rainfall in NW Mexico in year y – 1. The screwworm data are from Novy (1991) and Gutierrez & Ponti (2014).
Multiple linear regression analysis (Eqn 3) found that only lagged values of µcold (y − 1) at McAllen in the transition zone, and total rainfall (y − 1) in the NW Mexico reference area were significant predictors of log10 cases of myiasis(y). None of the interaction terms were significant, and the correlation between µcold (y) and total rain (y) was weak (r 2 = 0.053). This regression model has the added advantage (Gutierrez & Ponti, 2014) in that rainfall values suggest the strength of the NAMS and the direction of the prevailing monsoon winds (Arias et al., 2012).
| (3) |
log10 myiasis(y) declines with increasing µcold(y − 1) (P < 0.01) and increases with total rainfall (y − 1) (P ≈ 0.05) (Fig. 4B,C).
Substituting values of cumulative µcold(autumn–winter) computed for the period 1 September to 31 May that bridges 2 years (i.e. y − 1 and y) for µcold(y − 1) in the multiple regression yielded a low predictive value (r 2 = 0.287), with only µcold(autumn–winter) being significant (P < 0.05). This suggests that screwworm buildup occurs in Area I during the prior year (y − 1) and that conditions during the preceding winter period simply set the stage for outbreaks during summer in Texas in year y.
Favourability of weather for myiasis outbreaks during 1948–2010
The data used in estimating Eqn (3) include the effects of weather, the vagaries of stockman bias and the non‐significant effects of log10 sterile insect released, and may be viewed as an ecological niche model for screwworm outbreaks in Texas. Using Eqn (3), we examined the favourability of weather for myiasis outbreaks in Texas before (1948–1961), during the SIT eradication period (1962–1982) and after (1983–2010). Observed and predicted total myiasis are shown in Fig. 5(A). During 1948–2010, average at McAllen was 7.92 ± 1.28 per year and average rainfall in the NW Mexico reference area was 58.73 ± 24.82 mm/year. Annual deviations from these averages (i.e. Δµcold and Δrain) are depicted as histograms in Fig. 5B,C, with deviations favourable for screwworm outbreaks indicated in black.
Figure 5.

Screwworm dynamics and North American Monsoons (NAMS) characteristics. (A) observed cases of screwworm myiasis (data symbol
) during 1962–1983 (Novy, 1991; Gutierrez & Ponti, 2014) and simulated cases using Eqn 3 during 1948–2010 (solid line). (B) deviations from average cumulative daily mortality rates (i.e. Δµcold = µcold(y) − 7.92) at McAllen TX during 1948–2010 (Gutierrez & Ponti, 2014). (C) Deviations from average total annual rainfall (i.e. Δrain = mm rainfall(y) − 58.73 mm) in the NAMS reference area in Northwest (NW) Mexico during 1948–2009 (data from Arias et al., 2012). Deviations from average values for µcold and rainfall that are favourable for screwworm outbreaks are shaded black. The dashed arrows point to observed outbreaks, and the solid double arrow points to the critical year 1979 (see text).
1948–1961 period
During the pre‐SIT 1948–1960 period, NAMS were drier than average with prevailing winds in a southerly direction. µcold values during 1948 to 1957 were relatively low, suggesting the potential for higher‐than‐average winter survival and also that cases of myiasis would have occurred in the south Texas transition area. By contrast, years 1958–1960 were cold with low predicted screwworm survival. An outbreak of myiasis is predicted only in 1951 as a result of a warmer than average 1950 and a NAMS with slightly below‐average rainfall [i.e. the year lag effect in Eqn (3)].
1962–1982 period
As expected, the observed and predicted values (Eqn 3) of outbreaks during this period are in reasonable agreement (y = 0.74x − 1049.4; r2 = 0.75), with only the 1962 value being a 10× outlier (Fig. 5A). The 1962 outbreak of 51.6 thousand cases of myiasis was preceded in 1961 by near average µcold (= 8.31) and an above average wet NAMS (80 mm) with a late retreat on October 10 and with prevailing winds in a northward direction. Examination of the 1961–1962 weather data revealed no anomalies that could explain the outlier that was posited as a result of delays in sterile insect releases (Krafsur & Garcia, 1978), although over reporting during the initial year of the SIT programme may have been a factor (see Fig. SM2A in the Supporting information, File S1). The small outbreak in 1968 was preceded in 1967 by near‐average µcold and a modest wet NAMS. By contrast, the large 1972 outbreak of 95.6 thousand cases was preceded in 1971 by lower‐than‐average µcold = 6.67 (i.e. good survival) and an above‐average wet NAMS (approximately 80 mm) with northward prevailing winds and a very late retreat in late October. The extent of the 1972 outbreak in the U.S.A. and Mexico is summarized in Fig. SM2B in the Supporting information, File S1. The small 1975 and 1976 outbreaks were preceded by years of near‐average µcold (7.5 and 8.1, respectively) and above‐average wet NAMS with moderately late retreats in 10 and 30 September, respectively.
Years 1976, 1977, 1978 and 1980 had moderately wet NAMS but experienced cold weather (µcold = 10.3, 9.1, 10.3 and 9.2, respectively), whereas 1979 was very dry (approximately 48 mm) and cold (µcold = 9.8) and only low scattered infestations occurred in Texas (see maps of all years, Fig. SM3 in the Supporting information, File S1). The cold period 1976–1980 reduced screwworm populations that coupled with massive sterile insect releases enabled eradication of the fly in the transition zone of Area I. This assertion is reinforced by the fact that, despite favourable weather during 1981 (µcold = 7.49) and a strong NAMS (82 mm rainfall), the predicted outbreaks in 1982 and in subsequent years did not occur (see below). The last autochthonous case of myiasis in the U.S.A. was recorded in 1982, enabling expansion of the SIT programme into Mexico (Novy, 1991; Wyss, 2000).
1983–2010 period
Had eradication not occurred in the transition zone, weather conditions were highly favourable for outbreaks in Texas during some years of the 1983–2010 period. The 1990 NAMS was wet and µcold was below‐average and a very large outbreak is predicted for 1991. From 1991 to 2005, the NAMS were dry but µcold was consistently favourable, and small outbreaks were predicted. Wet NAMS with late retreats and favourable below‐average µcold occurred during 2006–2009, and large outbreaks were predicted in 2007, 2009 and 2010 but did not occur (Fig. 5A). Absent eradication, these favourable conditions could have enhanced fly outbreaks that would have overwhelmed extant eradication efforts as occurred in 1972.
Eradication of screwworm in tropical areas of Mexico
Myiasis data from Mexico are not available, and Eqn (3) for Texas cannot be used to examine the favourability of weather for myiasis outbreaks in this region. Instead, we used an age‐structured, physiologically‐based demographic model (PBDM) (Gutierrez & Ponti, 2014) to capture the fly's weather driven dynamics and to explore SIT eradication of the fly in Mexico. The bio‐demographic functions for development, survival and reproduction in the PBDM depend on temperature, and additionally oviposition site density for reproduction (see below). Although Thomas (1993) asserted that ‘… evidence is lacking that laboratory‐adapted strains are competitively impaired in the field …, laboratory adapted strains clearly deviate from the wildtype’ questions arose whether reproductively isolated population could impede the progress of the eradication campaign (Richardson et al., 1982), whether sterile flies were competitive with wild ecotypes (Bush et al., 1976) and whether aerial fly release procedures were efficient (Krafsur & Garcia, 1978; Krafsur, 1987). Lachance et al. (1982) found that allelic frequencies were similar in wide geographically separated populations and no genetic mating incompatibilities were found. Data to estimate the effects of competitiveness and release procedure are not available, although a very rough estimate of their combined effect can be made heuristically by comparing observed field release rates with base PBDM predictions of sterile fly release rates required for eradication, assuming sterile flies have the same mating competitiveness, and the release procedures are non‐limiting.
Absent SIT effects, the number of fertile eggs (ΔE(t,T)) deposited by all fertile mated females (W m) and newly mated females (0.5W u) at time t (i.e. day) is computed using Eqn (4) (Gutierrez et al., 2014).
| (4) |
Simplifying the notation:
| (4i) |
Only half of virgin females are mated per day (Krafsur, 1985), and the average maximum per capita reproductive rate per female per day R is approximately 67 eggs/days. This potential reproduction is corrected for sex ratio (sr = 0.5) and scaled by concave symmetrical functions for the effects of temperature on reproduction (0 ≤ ϕT(T(t)) ≤ 1, 14.5 °C ≤ T ≤ 43.5 °C; estimated from Thomas & Mangan, 1992) and for adult survival (0 ≤ ϕlx(T) < 1) (Gutierrez et al., 2006). A ratio‐dependent functional response model () (Gutierrez & Baumgärtner, 1984) was used to estimate the success of fertile females in finding wounds (H km−2) given a low search rate (0.0001 per dd) where Δt(T(t)) is physiological time in degree days > 14.5°C (dd) on day t. In the field, H varies in time and space in unknown ways (Matlock et al., 1996; Matlock & Skoda, 2009) and hence a constant (H = 100) was used for comparative purposes.
SIT affects only unmated females and the effects enter the model Eqn (4) as scalar functions for mating competitiveness (0 < ϕcomp < 1) and, as a linear scalar (0 < ϕrelease < 1) for the relative efficacy of sterile fly releases for mating with virgin females (Eqn 5). The ϕ functions can be viewed as survivorship terms.
| (5) |
Specifically, 0 < ϕcomp = W ♂/(cS ♂ + W ♂) ≤ 1 is the proportion of W u mated by wild type males (W ♂) competing with sterile males (S ♂) with coefficient 0 < c ≤ 1 being the competitiveness of S ♂ relative to W ♂ (Krafsur, 1994). Hence, 0.5ϕcompWu(t) is the number of W u × W ♂ matings, and 0.5(1 − ϕcomp)ϕreleaseWu(t) is the number of W u × S ♂ matings removing females from the reproductive pool. The remaining unmated females is Wu(t + 1) = 0.5Wu(t) + ΔWu(t), where ΔWu(t) is the new females emerging from pupae during t.
Estimating the efficacy of SIT
The daily population dynamics of screwworm without and with SIT were simulated at four distinct ecological locations on a north–south transect: Uvalde, Uvalde County and McAllen, Hidalgo County, Texas, and at Tampico, Tamaulipas and Tuxtla‐Gutierrez, Chiapas, Mexico (Fig. 6). Observed daily weather at each location was used to drive the model: years 1961–1980 for Uvalde and McAllen and 1990–2000 weather for Tampico and Tuxtla‐Gutierrez. As initial conditions, H = 100, and 0.25 individuals of both sexes of each life stage km−2 were used, yielding the relative levels of flies observed in the field (Matlock et al., 1996). Simulated pupal numbers was used as the metric of fly density.
Figure 6.

Simulated screwworm pupal numbers in four locations using 1961–2000 weather. (A–D) Simulation of screwworm pupal dynamics (black line, left scale) in the absence of eradication at the four locations using initial densities of 0.25 km−2 for all life stages, whereas the solid red line is the daily pattern of µadult (right scale). Note the large difference in the scale for µadult across locations. The right most solid black graphs (B′–D′) are the eradication dynamics based on the indicated number of bi‐weekly releases of sterile flies using 1961 weather data for Uvalde and McAllen, Texas, and 1990 data for Tampico and Tuxtla‐Gutierrez, Mexico. [Colour figure can be viewed at http://wileyonlinelibrary.com].
The efficacy of SIT was estimated heuristically at the four locations by comparing observed field release rates to PBDM predictions of release rates required for eradication assuming no detrimental effects on sterile flies. Specifically, W u × S ♂ mating is assumed to be frequency dependent (i.e. 0 < ϕcomp = cS ♂/(cS ♂ + W ♂) ≤ 1, given c = 1) and the released sterile flies are assumed to be optimally placed (ϕrelease = 1) in proximity to wild virgin females. The bi‐weekly release rate of sterile flies was varied in the different simulations until all screwworm life stages decline to zero.
Uvalde, Texas is located north of the transition zone, and has historically experienced high incidence of myiasis (e.g. Figs SM2 and SM3 in the Supporting information, File S1). During late spring and summer, simulated populations grow rapidly (Fig. 6A) but, as the autumn temperatures cool, reproduction and survival decline to zero (µadult) (Fig. 6A) requiring annual reinitialization of fly populations in the simulation. Annual µcold (i.e. the sum of daily µadult) during 1961–1983 ranged from 13–18, leading to local extinction of the fly, thus obviating the need for local eradication efforts.
McAllen, Texas in the transition zone had average µcold of 7.92, allowing low level overwinter survival, although cold temperatures during 1979 caused near local extinction (see above) (Figs 5B and 6B). In the model, bi‐weekly releases of two sterile flies km−2 (i.e. both sexes) were sufficient for eradication (Fig. 6B′); a level grossly at odds with the observed weekly release rates of 39–896 sterile flies km−2 (Matlock et al., 1996). During the 1972 outbreak, 1890 sterile flies were released per case of myiasis (Fig. 3B) (see also Fig. SM1 in the Supporting information, File S1) and yet the number of reported cases in Texas remained at approximately 16 500 per month during summer (Fig. 7B). Using the simulated average daily density across all years (e.g. 12.67 adult flies km−2/day) (Fig. 6B) as the initial density, bi‐weekly releases of 15 sterile flies were required for simulated eradication (see Fig. SM5 in the Supporting information, File S1).
Figure 7.

(A) Monthly maps of observed cases of myiasis in Texas during the 1972 outbreak. Highest abundance occurred in August, and the length of all other density colour bars were scaled to it (bars in right hand margin of each map). The maximum density is at the top of each colour bar with the highest midseason incidence occurring in south central Texas (e.g. Uvalde County). (B) Histogram summarizing the monthly total statewide data. (C) Map of total cases of myiasis during 1972. [Colour figure can be viewed at http://wileyonlinelibrary.com].
In tropical areas such as Tampico and Tuxtla‐Gutierrez, Mexico, fly populations are endemic and, despite periods of cool temperatures, local extinction is unlikely (Fig. 6C,D). Simulated fly populations at Tuxtla‐Gutierrez show less variability than at Tampico where winter temperatures are cooler during winter. The effects of cool temperatures in this region are seen in field data from Pozo‐Rico, Veracruz, Mexico, where oviposition rates fell to zero and adult mortality increased as temperatures declined to near the developmental threshold of 14.5 °C (see Fig. SM6A,C in the Supporting information, File S1) (data from Krafsur et al., 1979). Simulated eradication at Tampico required bi‐weekly releases of approximately 3 sterile flies/km2, whereas 23 sterile flies were required at Tuxtla‐Gutierrez (Fig. 6C′,D′). The simulated approximately 7.7‐fold difference is a result of cooler weather at Tampico. The low simulated biweekly values contrast sharply to with weekly field releases of 386 sterile flies/week/km2 in Mexico (Krafsur, 1985). The observed weekly release‐rate at Tuxtla‐Gutierrez was approximately 33.5‐fold higher than the simulated bi‐weekly values for a comparative efficacy of 3%. The low field efficiency of SIT is further shown by the modest sterile mating rates that ranged from 10% to 31% in Mexico (Krafsur et al., 1979, 1980) and from 18.6% to 71.4% in Mexico and Guatemala (Krafsur et al., 1987); with this at low native fly densities (e.g. 7.2 to 53.9 females/km2 in Mexico). The efficacy of SIT releases corrected for mating success (e.g. 18.6–71.4% above) was computed as the percentage of unmated females × 0.03, yielding an efficacy range of 0.1–2.4% with an average of approximately 1.7%. These values serve to inform qualitatively why massive numbers of sterile males were required to eradicate relatively low field populations. Furthermore, field evidence suggests that the effect of ϕrelease ≫ ϕcomp (Krafsur & Garcia, 1978; Krafsur,1987).
Discussion
Before eradication, the invasion of screwworm into non‐endemic temperate areas of Texas and the SW U.S.A. during some summers was similar to that of bushfly Musca vetustissima Walker, which annually reinvades colder areas of Southeast Australia from warmer inland areas on prevailing winds during spring, only to die out during winter (Hughes & Nicholas, 1974). The invasion biology of screwworm differs in that there is a year lag for outbreaks to develop in Texas. Specifically, screwworm adults must migrate northward into the transition area of NE Mexico and south Texas during summer–early autumn the previous year (y − 1) on wet NAMS winds from warmer more southern endemic areas of Mexico. If temperatures during autumn–winter (y − 1) are favourable for adult survival and reproduction, the populations may grow and, aided by monsoon winds, spread northward during summer of year y. Despite massive releases of sterile flies, favourable weather conditions enabled myiasis outbreaks to develop in 1962, 1972, 1975–1976 and 1978 (Fig. 5; see also Fig. SM1 in the Supporting information, File S1). An additional undocumented risk factor enhancing the outbreaks may have been the increase in cattle tick populations (and associated wounds) in the Rio Grande River area in the south Texas transition zone beginning in 1960 (Pérez de León et al., 2012), with outbreaks that appear to mirror those of screwworm during the period (see Fig. SM4 in the Supporting information, File S1).
The outbreaks in 1962 (see Fig. SM2 in the Supporting information, File S1) and 1972 (Fig. 7A–C) were especially large (Fig. 5), with initial infestations first being detected in south Texas during January, increasing in the spring and summer, and spreading northward into Texas during the summer but then retreating to low levels in south Texas during autumn and winter (Fig. 7B). The massive 1972 outbreak also engulfed much of Northern Mexico (see Fig. SM2B in the Supporting information, File S1). The highest levels of myiasis occurred in central and south Texas (e.g. Uvalde), with few cases occurring in the eastern and northern parts of the state (Fig. 7C; see also Fig. SM3 in the Supporting information, File S1). However, with an absence of favourable NAMS in year y − 1, warm autumn–winter weather (low µcold) during year y − 1 could still enable localized infestations to develop in south Texas (Fig. 5A–C; see also Fig. SM3 in the Supporting information, File S1).
Readshaw (1986, 1989) focused on the role of cold weather during 1976–1980 with respect to suppressing screwworm and concluded that the eradication of the fly was a ‘grand delusion’ and that outbreaks would reoccur once favourable conditions returned. This idea was obviously mistaken because no autochthonous cases of myiasis were recorded in the U.S.A. after 1982 (Krafsur et al., 1986; Krafsur, 1998), despite years with highly favourable conditions for outbreaks (e.g. 1992, 2007, 2009 and 2010) (Fig. 5). However, the period 1976–1979 appears to have been critical for eradication because cold weather and weak NAMS (Fig. 5) suppressed screwworm populations and greatly increased the ratios of sterile flies to wild flies (i.e. 105–106 sterile flies released annually per case of myiasis) (see Fig. SM1 in the Supporting information, File S1).
Because records of myiasis and sterile insect releases are not available from Mexico and Central America, we used a physiologically based demographic model to explore heuristically the role of weather and screwworm life history on eradications in the tropics.
Role of screwworm life history and weather in fly eradication in Mexico‐Central America
Ecologists venture that adaptive life histories strategies evolve as a consequence of density and environmental factors (Oizumi et al., 2016). Indicative of an r‐strategy (Pianka, 1970) in screwworm are its very high reproductive potential, allowing rapid opportunistic exploitation of oviposition sites (Thomas & Mangan, 1989), a potential population doubling times of 14 days (Matlock & Skoda, 2009), and an aggregating behaviour of screwworm males and low dispersal of unmated females that enhance mating before dispersal (Krafsur, 1978; Krafsur & Garcia, 1978), as well as promiscuous mating in males (polygyny) and single mating in females. The r‐strategy potential of screwworm is demonstrated by outbreaks during some years induced by low densities of mated female migrants invading non‐endemic temperate areas of Texas.
However, in the tropics, growth rates of endemic field population are low (Thomas & Mangan, 1992) with field doubling times ranging from 54 to 139 days (Matlock & Skoda, 2009), oviposition site densities (wounds) are low and can be viewed as an environmental carrying capacity (Krafsur et al., 1979), and there appears to be a low innate success rate in finding oviposition sites (Krafsur et al., 1979, Krafsur et al., 1980). These attributes in the tropics in addition to promiscuous mating in males (polygyny) and single mating in females makes screwworm highly susceptible to massive SIT releases, this despite an estimated low average efficacy of approximately 1.7%.
Furthermore, screwworm has boom to bust dynamics (Krafsur, 1998) as the oviposition sites and weather allow (Krafsur et al., 1980). Bust phases occur with declining temperatures that decrease fly vital rates and increase mortality rates (e.g. McAllen, Texas, and Tampico, Mexico), suggesting that the added load of massive sterile fly releases during bust periods, even if not all females are sterile mated, could drive intrinsically low screwworm populations to demographic mate limited ‘Allee’ extinction (Courchamp et al., 2008). In tropical areas such as Tuxtla‐Gutierrez, cold weather effects are weak (Fig. 6D) and hence higher simulated levels of SIT releases were required compared with Tampico where low non‐freezing temperatures occur (Fig. 6C). The contrasting simulated dynamics of screwworm at McAllen and Tuxtla‐Gutierrez are shown in Fig. SM5 in the Supporting information, File S1.
By contrast with screwworm, a climatically adapted species such as olive fly with high reproductive rates, abundant hosts and other r‐selected attributes has proven difficult to eradicate using SIT methods. This may have been a result of asynchronous mating activity between the wild and released sterile populations, and/or low competitiveness of the radiation‐sterilized mass‐reared flies (Ant et al., 2012). SIT eradication efforts of pink bollworm in the SW U.S.A. were coupled with the highly effective GMO Bt cotton that greatly reduces wild populations (http://www.westernfarmpress.com/cotton/pink-bollworm-eradication-cotton-2017). However, claims of SIT eradication of pink bollworm in the San Joaquin Valley of central California are flawed because the moth cannot overwinter there and Bt cotton is not widely grown (Gutierrez et al., 2006). In general, claims of establishment of invasive species below detectable levels or of eradication (e.g. fruit flies) (Papadopoulos et al., 2013) are suspect if the effects of weather on the dynamics are ignored.
Potential reinvasion and prospective effects of climate change
Screwworm is endemic to the Caribbean and South America, and periodic cases of myiasis occur in North America (Alexander, 2006) as exemplified by the severe outbreak of myiasis in deer (Odocoileus virginianus clavium) populations in the Florida Keys in 2016. This infestation was eradicated by releasing 188 million sterile flies (USDA‐APHIS, United States Department of Agriculture – Animal and Plant Health Inspection Service, 2017a; Skoda et al., 2018). SIT containment of the fly continues in Panama, and the early detection and control of sporadic infestations in North America remains the mainstay of screwworm management. In 2000, USDA‐APHIS began producing millions of sterile flies annually in its Panama production facility, and releasing them over eastern Panama and areas of Colombia at a cost of $15 million annually (USDA‐APHIS, 2017b). Despite this effort in Panama, ‘… an increased number of [myiasis] cases in … clusters could be due to SIT failure, the regular transport of screwworm‐positive animals …, movement of screwworm‐positive wildlife and a lack of fly control in neighboring Colombia’ (Maxwell et al., 2017). Such problems are potential harbingers of difficulties that may be encountered if attempts are made to extend eradication across the vast tropical and subtropical areas of South America (Gutierrez & Ponti, 2014); a problem that may be exacerbated by climate change.
Cold temperatures limit the potential northward endemic range of the fly, although an increase in average temperatures by year 2050 of 2 °C (or more), as posited by the Intergovernmental Panel on Climate Change (IPCC, Intergovernmental Panel on Climate Change, 2014), would increase its potential endemic range in the U.S.A. However, projections of climate change effects using climate model data are fraught with difficulty because of the complexity of modelling NAMS that make any sound prediction of future weather (Gutzler et al., 2005) and fly dynamics problematic. Several regional climate models have been developed (see supplemental materials, File S1). Using high resolution, bias‐corrected NASA climate model data for 2045–2075 vs. 1975–2005 (Thrasher et al., 2012; NASA, 2015), the model predicts important increases in the prospective endemic range of screwworm northward into the southern U.S.A. and at higher elevations in Mexico (Fig. 8A vs. B). Under climate change, a wide spread reinvasion would greatly challenge low efficacy SIT intervention, as occurred during the large 1972 outbreak, and as suggested by the predicted outbreaks during 1982–2010 (Fig. 5). Furthermore, climate warming would increase cattle tick populations (and wounds) (Pérez de León et al., 2012) and their geographical range, and this would exacerbate the outbreak potential for screwworm. On the positive side, considerable progress has been made with respect to improving SIT eradication technologies (Scott et al., 2017), although these advances need to be augmented by an improved forecasting system of screwworm dynamics on fine time and spatial scale across a large geographical region. The development of this system requires that the weather driven biology of the fly (and of cattle tick) be better documented (Gutierrez & Ponti, 2014) than has occurred previously.
Figure 8.

Comparison of areas of screwworm endemicity in North America based on µcold computed from daily weather data from a high resolution and bias‐corrected climate scenario (Thrasher et al., 2012) for (A) the historical period 1975–2005 and (B) the future period 2045–2055. High values of µcold indicate low favourability, whereas unshaded grey areas are unfavourable (i.e. µcold > 10). [Colour figure can be viewed at http://wileyonlinelibrary.com].
Supporting information
File S1. Deconstructing the eradication of new world screwworm in North America.
Acknowledgements
We acknowledge the invaluable suggestions and criticisms of Professor Emeritus E. S. Krafsur (Iowa State University) on many aspects of our study. The final interpretations of the data and the biology of screwworm are entirely the responsibility of the authors. We thank Bridget Thrasher from the Climate Analytics Group (http://www.climateanalyticsgroup.org) for help in obtaining the NASA climate model weather data. We continue to be grateful to Dr Markus Neteler of mundialis GmbH & Co. KG (http://www.mundialis.de) and the international network of co‐developers for maintaining the Geographic Resources Analysis Support System (GRASS, https://grass.osgeo.org) software and making it available to the scientific community.
The climate scenarios used were from the NEX‐GDDP dataset, prepared by the Climate Analytics Group and NASA Ames Research Center using the NASA Earth Exchange and distributed by the NASA Center for Climate Simulation. We acknowledge the World Climate Research Programme's Working Group on Coupled Modeling, which is responsible for CMIP, and we thank the climate modeling groups for producing and making available their model output. For CMIP, the U.S. Department of Energy's Program for Climate Model Diagnosis and Intercomparison provides coordinating support and leads the development of software infrastructure in partnership with the Global Organization for Earth System Science Portals.
Modest support for this work was provided by the Center for the Analysis of Sustainable Agricultural Systems (http://casasglobal.org) Kensington, CA, USA, the University of California at Berkeley, the Agenzia nazionale per le nuove tecnologie, l'energia e lo sviluppo economico sostenibile (ENEA), Centro Ricerche Casaccia, Roma, Italy, and the Universidad de Antioquia in Medellín, Colombia. The authors declare that they have no conflicts of interest.
All authors contributed equally to the present study.
References
- Adams, T.S. (1979) The reproductive physiology of the screwworm, Cochliomyia hominivorax (Diptera: Calliphoridae). II. Effects of constant temperatures on oogenesis. Journal of Medical Entomology, 15, 484–487. [DOI] [PubMed] [Google Scholar]
- Adams, D.K. & Comrie, A.C. (1997) The North American monsoon. Bulletin of the American Meteorological Society, 78, 2197–2214. [Google Scholar]
- Alexander, J.L. (2006) Zoonosis update: screwworms. Journal of the American Veterinary Medical Association, 228, 357–367. [DOI] [PubMed] [Google Scholar]
- Ant, T. , Koukidou, M. , Rempoulakis, P. et al (2012) Control of the olive fruit fly using genetics‐enhanced sterile insect technique. BMC Biology, 10, 51. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Arias, P.A. , Fu, R. & Mo, K.C. (2012) Decadal variation of rainfall seasonality in the North American monsoon region and its potential causes. Journal of Climate, 25, 4258–4274. [Google Scholar]
- Barrett, W.L. (1937) Natural dispersion of Cochliomyia americana . Journal of Economic Entomology, 30, 873–876. [Google Scholar]
- Baumhover, A.H. (2002) A personal account of developing the sterile insect technique to eradicate the screwworm from Curacao, Florida and the southeastern United States. Florida Entomologist, 85, 666–673. [Google Scholar]
- Berkebile, D.R. , Sagel, A. , Skoda, S.R. & Foster, J.E. (2006) Laboratory environment effects on the reproduction and mortality of adult screwworm (Diptera: Calliphoridae). Neotropical Entomology, 35, 781–786. [DOI] [PubMed] [Google Scholar]
- Bush, G.L. , Neck, R.W. & Kitto, G.B. (1976) Screwworm eradication: inadvertent selection for noncompetitive ecotypes during mass rearing. Science, 193, 491–493. [DOI] [PubMed] [Google Scholar]
- Carleton, A.M. , Carpenter, D.A. & Weser, P.J. (1990) Mechanisms of interannual variability of the Southwest United States summer rainfall maximum. Journal of Climate, 3, 999–1015. [Google Scholar]
- Comis, D. , Weaver‐Missick, T. & Sowers, R. (2012) 150 years of making history: USDA's 150th anniversary. Agricultural Research Magazine, 60, 10–19. http://digitalcommons.unl.edu/usdaagresmag/158 [last accessed 24 May 2018]. [Google Scholar]
- Courchamp, F. , Berec, L. & Gascoigne, J. (2008). Allee Effects in Ecology and Conservation. Oxford University Press, New York, NY. [Google Scholar]
- Crystal, M.M. (1966) Sexual sterilization of screwworm flies by a preoral chemosterilant: quantitative aspects and relation to pretreatment starvation. Journal of Economic Entomology, 59, 580–585. [Google Scholar]
- Deonier, C.C. (1942) Seasonal abundance and distribution of certain blowflies in Southern Arizona and their economic importance. Journal of Economic Entomology, 35, 65–70. [Google Scholar]
- Douglas, M.W. , Maddox, R.A. , Howard, K. & Reyes, S. (1993) The Mexican monsoon. Journal of Climate, 6, 1665–1677. [Google Scholar]
- Gutierrez, A.P. & Baumgärtner, J.U. (1984) Multitrophic level models of predator‐prey energetics: II. A realistic model of plant‐herbivore‐parasitoid‐predator interactions. Canadian Entomologist, 116, 933–949. [Google Scholar]
- Gutierrez, A.P. & Ponti, L. (2014) The new world screwworm: prospective distribution and role of weather in eradication. Agricultural and Forest Entomology, 16, 158–173. [Google Scholar]
- Gutierrez, A.P. , Ellis, C.K. , d'Oultremont, T. & Ponti, L. (2006) Climatic limits of pink bollworm in Arizona and California: effects of climate warming. Acta Oecologica, 30, 353–364. [Google Scholar]
- Gutzler, D.S. , Kim, H.‐K. , Higgins, R.W. et al (2005) The North American monsoon model assessment project: integrating numerical modeling into a field‐based process study. Bulletin of the American Meteorological Society, 86, 1423–1429. [Google Scholar]
- Higgins, R.W. , Shi, W. & Hain, C. (2004) Relationships between Gulf of California moisture surges and precipitation in the southwestern United States. Journal of Climate, 17, 2983–2997. [Google Scholar]
- Hightower, B.G. , Adams, A.L. & Alley, D.A. (1965) Dispersal of released irradiated laboratory‐reared screw‐worm flies. Journal of Economic Entomology, 58, 373–374. [Google Scholar]
- Hughes, R.D. & Nicholas, W.L. (1974) The spring migration of the bushfly (Musca vetustissima Walk.): evidence of displacement provided by natural population markers including parasitism. Journal of Animal Ecology, 43, 411–428. [Google Scholar]
- IPCC, Intergovernmental Panel on Climate Change (2014) IPCC Fifth Assessment Report. http://www.ipcc.ch/report/ar5/index.shtml [accessed on 10 June 2018].
- Klassen, W. & Curtis, C. (2005) History of the sterile insect technique Sterile Insect Technique (ed. by Dyck V., Hendrichs J. & Robinson A.S.), pp. 3–36. Springer, The Netherlands. [Google Scholar]
- Knipling, E.F. (1955) Possibilities of insect control or eradication through the use of sexually sterile males. Journal of Economic Entomology, 48, 459–462. [Google Scholar]
- Krafsur, E.S. (1978) Aggregations of male screwworm flies, Cochliomyia hominivorax (Coquerel) in south Texas (Diptera: Calliphoridae). Proceedings Entomological Society of Washington, 80, 164–170. [Google Scholar]
- Krafsur, E.S. (1985) Screwworm flies (Diptera: Calliphoridae): analysis of sterile mating frequencies and covariates. Bulletin of the Entomological Society of America, 31, 36–40. [Google Scholar]
- Krafsur, E.S. (1987) Climatological correlates of screwworm (Cochliomyia hominivorax) abundance in Texas, USA. Medical and Veterinary Entomology, 1, 71–80. [DOI] [PubMed] [Google Scholar]
- Krafsur, E.S. (1994) Application of models to screwworm eradication programs Modelling Vector‐Borne and Other Parasitic Diseases: Proceedings of a Workshop Organized Jointly by the International Laboratory for Research on Animal Diseases and the Food and Agriculture Organization of the United Nations (ed. by Perry B. & Hansen J.), pp. 299–308. International Laboratory for Research on Animal Diseases (ILRAD), Nairobi, 23–27 November 1992: ILRAD, Nairobi, Kenia. [Google Scholar]
- Krafsur, E.S. (1998) Sterile insect technique for suppressing and eradicating insect population: 55 years and counting. Journal of Agricultural Entomology, 15, 303–317. [Google Scholar]
- Krafsur, E.S. & Garcia, L. (1978) Responses of the screwworm, Cochliomyia hominivorax, to two sterile male release methods in South Texas, 1975–1976. Journal of Medical Entomology, 14, 687–697. [Google Scholar]
- Krafsur, E.S. , Hightower, B.G. & Leira, L. (1979) A longitudinal study of screwworm populations, Cochliomyia hominivorax (Diptera: Calliphoridae), in northern Veracruz, Mexico. Journal of Medical Entomology, 16, 470–481. [DOI] [PubMed] [Google Scholar]
- Krafsur, E.S. , Hightower, B.G. & Vargas, M. (1980) Responses of screwworm (Diptera: Calliphoridae) populations to sterile male challenge in Veracruz. Journal of Medical Entomology, 17, 235–241. [Google Scholar]
- Krafsur, E.S. , Townson, H. , Davidson, G. & Curtis, C.F. (1986) Screwworm eradication is what it seems. Nature, 323, 495–496. [DOI] [PubMed] [Google Scholar]
- Krafsur, E.S. , Whitten, C.J. & Novy, J.E. (1987) Screwworm eradication in north and central America. Parasitology Today, 3, 131–137. [DOI] [PubMed] [Google Scholar]
- Laake, E.W. (1950) Screw‐worm survey in Western United States, 1949. Journal of Economic Entomology, 43, 387–389. [Google Scholar]
- Lachance, L.E. , Bartlett, A.C. , Bram, R.A. et al (1982) Mating types in screwworm populations? Science, 218, 1142–1143. [DOI] [PubMed] [Google Scholar]
- Matlock, J. & Skoda, S.R. (2009) Mark–recapture estimates of recruitment, survivorship and population growth rate for the screwworm fly, Cochliomyia hominivorax . Medical and Veterinary Entomology, 23, 111–125. [DOI] [PubMed] [Google Scholar]
- Matlock, R.B. , Welch, J.B. & Parker, F.D. (1996) Estimating population density per unit area from mark, release, recapture data. Ecological Applications, 6, 1241–1253. [Google Scholar]
- Maxwell, M.J. , Subia, J. , Abrego, J. , Garabed, R. , Xiao, N. & Toribio, R.E. (2017) Temporal and spatial analysis of the new world screwworm (Cochliomyia hominivorax) in Darien and Embera, Panama (2001–2011). Transboundary and Emerging Diseases, 64, 899–905. [DOI] [PubMed] [Google Scholar]
- Mayer, D.G. & Atzeni, M.G. (1993) Estimation of dispersal distances for Cochliomyia hominivorax (Diptera: Calliphoridae). Environmental Entomology, 22, 368–374. [Google Scholar]
- Menne, M.J. , Durre, I. , Korzeniewski, B. et al (2012a). Global Historical Climatology Network ‐ Daily (GHCN‐Daily), Version 3. NOAA National Climatic Data Center, Asheville, North Carolina. [Google Scholar]
- Menne, M.J. , Durre, I. , Vose, R.S. , Gleason, B.E. & Houston, T.G. (2012b) An overview of the Global Historical Climatology Network‐daily database. Journal of Atmospheric and Oceanic Technology, 29, 897–910. [Google Scholar]
- NASA, National Aeronautics and Space Administration (2015) NEX Global Daily Downscaled Climate Projections: Technical Notes and Data Access . https://nex.nasa.gov/nex/projects/1356/wiki/tech_notes_and_data_access/ [accessed on 10 June 2018].
- Novy, J.E. (1991) Screwworm Control and Eradication in the Southern United States of America. World Animal Review; http://www.fao.org/ag/aga/agap/frg/feedback/war/u4220b/u4220b0a.htm [accessed on 17 May 2011]. [Google Scholar]
- OIE, World Organisation for Animal Health (2013) Technical Disease Cards: Screwworm . http://www.oie.int/fileadmin/Home/eng/Animal_Health_in_the_World/docs/pdf/Disease_cards/SCREWWORM.pdf [accessed on 30 May 2018].
- Oizumi, R. , Kuniya, T. & Enatsu, Y. (2016) Reconsideration of r/K selection theory using stochastic control theory and nonlinear structured population models. PLoS One, 11, e0157715. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Papadopoulos, N.T. , Plant, R.E. & Carey, J.R. (2013) From trickle to flood: the large‐scale, cryptic invasion of California by tropical fruit flies. Proceedings of the Royal Society B: Biological Sciences, 280, 20131466. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pérez de León, A.A. , Teel, P.D. , Auclair, A.N. et al (2012) Integrated strategy for sustainable cattle fever tick eradication in USA is required to mitigate the impact of global change. Frontiers in Physiology, 3, 195. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Phillips, P.L. , Welch, J.B. & Kramer, M. (2004) Seasonal and spatial distributions of adult screwworms (Diptera: Calliphoridae) in the Panama Canal area, Republic of Panama. Journal of Medical Entomology, 41, 121–129. [DOI] [PubMed] [Google Scholar]
- Pianka, E.R. (1970) On r‐ and K‐selection. The American Naturalist, 104, 592–597. [Google Scholar]
- Readshaw, J.L. (1986) Screwworm eradication a grand delusion? Nature, 320, 407–410. [DOI] [PubMed] [Google Scholar]
- Readshaw, J.L. (1989) The influence of seasonal temperatures on the natural regulation of the screw worm, Cochliomyia hominivorax, in the southern USA. Medical and Veterinary Entomology, 3, 159–167. [DOI] [PubMed] [Google Scholar]
- Riahi, K. , Rao, S. , Krey, V. et al (2011) RCP 8.5—a scenario of comparatively high greenhouse gas emissions. Climatic Change, 109, 33. [Google Scholar]
- Richardson, R.H. , Ellison, J.R. & Averhoff, W.W. (1982) Autocidal control of screwworms in North America. Science, 215, 361–370. [DOI] [PubMed] [Google Scholar]
- Scott, M.J. , Concha, C. , Welch, J.B. , Phillips, P.L. & Skoda, S.R. (2017) Review of research advances in the screwworm eradication program over the past 25 years. Entomologia Experimentalis et Applicata, 164, 226–236. [Google Scholar]
- Sheffield, J. , Barrett, A.P. , Colle, B. et al (2013) North American climate in CMIP5 experiments. Part i: evaluation of historical simulations of continental and regional climatology. Journal of Climate, 26, 9209–9245. [Google Scholar]
- Skoda, S.R. , Phillips, P.L. , Sagel, A. & Chaudhury, M.F. (2017) Distribution and persistence of sterile screwworms (Diptera: Calliphoridae) released at the Panama–Colombia border. Journal of Economic Entomology, 110, 783–789. [DOI] [PubMed] [Google Scholar]
- Skoda, S.R. , Phillips, P.L. & Welch, J.B. (2018) Screwworm (Diptera: Calliphoridae) in the United States: response to and elimination of the 2016–2017 outbreak in Florida. Journal of Medical Entomology, 55, 777–786. [DOI] [PubMed] [Google Scholar]
- Stensrud, D.J. , Gall, R.L. , Mullen, S.L. & Howard, K.W. (1995) Model climatology of the Mexican monsoon. Journal of Climate, 8, 1775–1794. [Google Scholar]
- Taylor, K.E. , Stouffer, R.J. & Meehl, G.A. (2012) An overview of CMIP5 and the experiment design. Bulletin of the American Meteorological Society, 93, 485–498. [Google Scholar]
- Thomas, D.B. (1993) Fecundity and oviposition in laboratory colonies of the screwworm fly (Diptera: Calliphoridae). Journal of Economic Entomology, 86, 1464–1472. [DOI] [PubMed] [Google Scholar]
- Thomas, D.B. & Chen, A.C. (1990) Age distribution of adult female screwworms (Diptera: Calliphoridae) captured on sentinel animals in the coastal lowlands of Guatemala. Journal of Economic Entomology, 83, 1422–1429. [DOI] [PubMed] [Google Scholar]
- Thomas, D.B. & Mangan, R.L. (1989) Oviposition and wound‐visiting behavior of the screwworm fly, Cochliomyia hominivorax (Diptera: Calliphoridae). Annals of the Entomological Society of America, Journal of Economic Entomology, 82, 85, 526, 441–534. ewworm (Diptera: Calliphoridae) flies at a release site, 444. [Google Scholar]
- Thrasher, B. , Maurer, E.P. , McKellar, C. & Duffy, P.B. (2012) Technical note: bias correcting climate model simulated daily temperature extremes with quantile mapping. Hydrology and Earth System Sciences, 16, 3309–3314. [Google Scholar]
- USDA, United States Department of Agriculture (2016) Livestock Marking Information Center. Research, Education, and Economics Information System (REEIS) https://reeis.usda.gov/ [accessed on 30 May 2018].
- USDA‐APHIS, United States Department of Agriculture – Animal and Plant Health Inspection Service (2017a) ALERT: Screwworm Infestation in Florida . https://www.aphis.usda.gov/aphis/ourfocus/animalhealth/nvap/vet_acred_alert [accessed on 10 June 2018].
- USDA‐APHIS, United States Department of Agriculture – Animal and Plant Health Inspection Service (2017b) Sterile Fly Release Programs . https://www.aphis.usda.gov/aphis/ourfocus/internationalservices/sterile_fly_release_programs/ [accessed on 10 June 2018].
- Vargas‐Terán, M. , Hofmann, H. & Tweddle, N. (2005) Impact of screwworm eradication programmes using the sterile insect technique Sterile Insect Technique. Principles and Practice in Area‐Wide Integrated Pest Management (ed. by Dyck V.A., Hendrichs J. & Robinson A.S.), pp. 629–650. Springer, The Netherlands. [Google Scholar]
- Vera, C. , Higgins, W. , Amador, J. et al (2006) Toward a unified view of the American monsoon systems. Journal of Climate, 19, 4977–5000. [Google Scholar]
- Wright, W.E. , Long, A. , Comrie, A.C. , Leavitt, S.W. , Cavazos, T. & Eastoe, C. (2001) Monsoonal moisture sources revealed using temperature, precipitation, and precipitation stable isotope timeseries. Geophysical Research Letters, 28, 787–790. [Google Scholar]
- Wyss, J.H. (2000) Screwworm eradication in the Americas. Conference OIE 2000 – World Organization for Animal Health, pp. 239–244.
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Supplementary Materials
File S1. Deconstructing the eradication of new world screwworm in North America.
