We show how a climatic niche model can be used to describe the potential geographic distribution of a pest species with variable life-history, and illustrate how to estimate biogeographic pest threats that vary across space. The models were used to explore factors that affect pest risk (irrigation and presences of host plant). A combination of current distribution records and published experimental data were used to construct separate models for the asexual and sexual lineages of Rhopalosiphum padi (Linnaeus) (Hemiptera: Aphididae). The two models were combined with knowledge of host plant presence to classify the global pest risk posed by R. padi. Whilst R. padi has a relatively limited area in which sexual lineages can persist year round, a much larger area is suitable for transient sexual and asexual lineages to exist. The greatest risk of establishment of persistent sexual and asexual populations is in areas with warm temperate climates. At the global scale the models show very little difference in risk patterns between natural rainfall and irrigation scenarios, but in Australia, the amount of land suitable for persistent asexual and transient sexual populations decreases (by 20%) if drought stress is no longer alleviated by irrigation. This approach proved useful for modelling the potential distribution of a species that has a variable life-history. We were able to use the model outputs to examine factors such as irrigation practices and host plant presence that altered the nature (transient or permanent) and extent of pest risk. The composite niche maps indicate pest risk in terms that are useful to both biosecurity agencies and pest managers.
Citation: Macfadyen S, Kriticos DJ (2012) Modelling the Geographical Range of a Species with Variable Life-History. PLoS ONE 7(7): e40313. https://doi.org/10.1371/journal.pone.0040313
Editor: Dorian Q. Fuller, University College London, United Kingdom
Received: February 21, 2012; Accepted: June 4, 2012; Published: July 11, 2012
Copyright: © 2012 Macfadyen, Kriticos. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Funding: S.M.’s research is part of the National Invertebrate Pest Initiative (NIPI) and funded by the Grains Research and Development Corporation (GRDC). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Competing interests: The authors have declared that no competing interests exist.
Bioclimatic niche models and species distribution models that relate geographic observations of a taxa to environmental covariates have become an important modelling tool for addressing research questions in the fields of biogeography, conservation biology, invasion ecology, and evolution , , , . The majority of bioclimatic models have sought to portray the current or potential distribution of species, rather than any other taxonomic level, though some effort has been applied to modelling species communities , . When using bioclimatic niche models to estimate a taxon’s potential range, there is an implicit assumption that local adaptations in climate response within a species are encompassed within the modelled range. In most cases, the effect of modelling the species climatic range compared to modelling the range of a single genotype is likely to be a simple stretching of the climatic envelope to encompass the genotypes adapted to the climatic extremes. That is, the cold limits are set by the most cold-adapted genotypes, and the warm limits are set by the most warm-adapted genotypes. Where the species life-stages have significantly different climate responses, the bioclimatic models implicitly encompass the cold-, hot-, wet-, and dry-tolerant lifestages. Similarly, when modelling the niche of organisms such as some plant pathogens with complex life-histories involving multiple hosts, the model’s climatic parameters may simply span the requirements of two or more hosts (e.g. , ). Depending upon whether a particular life-history is facultative or obligate, the climatic requirements may be either additive or multiplicative, and different modelling approaches may be better or worse at capturing these responses.
Many pest aphid species exhibit complex life-histories involving multiple host plants . The plasticity in their life-histories can involve different life-stages to cope with stressful conditions. Modelling such complex life-histories can be achieved through process-based population dynamics models or individual-based models applied to single locations (e.g. ). Unlike the challenge of encompassing a breadth of local adaptations, a single bioclimatic model that encompasses the geographical range of a species with multiple life histories may include significant areas that are climatically unsuitable for a particular life-history.
Most of the literature on species ranges has focussed on the conditions necessary for species persistence, although for some highly mobile, short-lived species, examples of ephemeral populations have been documented (e.g. , ). Such ephemeral populations often arise from species temporarily expanding their geographic range into regions that are only suitable for population growth during part of the year. Temporal variation in range boundaries has been acknowledged in the literature , and is an important factor influencing the occurrence of transient pest populations.
Here we focus on Rhopalosiphum padi (Linnaeus) (Hemiptera: Aphididae) (bird cherry–oat aphid), a pest of cereals in many countries around the world. Farmers rely heavily on the use of insecticides to control R. padi populations, particularly in winter wheat and barley crops across Europe, as it is a vector of crop diseases , , . The widespread distribution and economic importance of R. padi, combined with a large number of published studies on the ecology and biology of this species, makes it an ideal subject for exploring how certain factors influence the risk posed by this pest. R. padi has a variable life-history. It alternates between host plants, with sexual individuals being produced once a year before moving onto the woody winter host (usually Prunus padus). In spring and summer individuals migrate to grass species (Poaceae) where they undergo parthenogenesis . These asexual lineages switch to the sexual mode in response to a critical night length ,  and produce frost-tolerant overwintering eggs , , . In some regions, the sexual phase has been partially or completely lost, and obligate asexual lineages have developed . These lineages do not alternate hosts and reproduce parthenogenetically on poaceous host plants throughout the year . This life history leads to higher population growth rates during favourable winter conditions, but carries a risk of mortality during inclement winters . Rhopalosiphum padi can form both apterous (wingless) and alate (winged) forms . Its ability to produce alatae in response to photoperiodic and crowding stimuli facilitates access to seasonally abundant host resources , . Viruses transmitted by R. padi can persist in grass host plants without causing symptoms and be transmitted to crops via feeding by aphids that have moved into emerging cereal crops , . The viruses cannot persist in the woody winter host plant, so aphids emerging from overwintering eggs are not initially virus vectors . Both sexual and asexual lineages can be present in a particular region during a season, but their relative abundance varies according to a variety of factors including winter climate, the phenology of host resources (e.g. the timing of cereal crop production), and the availability across space and time of the winter woody host plant , .
The currently documented range of R. padi includes areas of the world with persistent populations that are present year-round and regions with transient populations resulting from seasonal migration events. After considering the available documented life-history of R. padi we modelled the sexual and asexual lineages separately in order to capture information on persistent and seasonal transient populations. Here we use this novel modelling approach to describe the potential global distribution of each reproductive mode (sexual or asexual lineages) based on climatic conditions alone. We then recombine the results from these two models to understand the different types of pest risk posed by the organism throughout its potential range. We characterise the regional invasion risk by each reproductive mode, host presence, ability of the aphid to persist (permanent or transient), and the impact of land-use change (irrigated or dryland cropping). Through this process we illustrate how relatively complex life-histories can be incorporated into a simple niche model using an aphid species.
Materials and Methods
Current Distribution Records
A literature review was conducted on the biology and ecology of R. padi using a range of data sources focussing on life-history parameters that we considered important for R. padi presence and pest status around the world. The present known distribution of R. padi was estimated from a search of the Global Biodiversity Information Facility (www.gbif.org), the Australian Plant Pest Database (www.planthealthaustralia.com.au), published literature gathered through Web of Science searches (e.g. , , ), suction sample catches of the aphid throughout the UK and Europe (Harrington et al. 2004; EXAMINE network, www.rothamsted.ac.uk/examine/), and specimen collection labels in museums (Australian National Insect Collection, Canadian National Collection of Insects). These searches revealed point locations as indicated by latitude and longitude coordinates, and in some case only placenames (Fig. 1). In the latter case, for Australian sites, the Geoscience Australia Place Name search (www.ga.gov.au/map/names/) was used to link reported placenames with coordinates. For all other sites Google Earth® was used to gather coordinates. Prior to use, location records with erroneous geocodes or placenames that could not be reliably linked to coordinates were discarded. Subsequently, during model fitting, additional erroneously geocoded records were discovered where biologically unreasonable parameter values were required to fit outlying locations. In many cases, investigation of the descriptive locality information revealed that these records had the incorrect signs on their longitude or latitude value, and were altered accordingly. The point records generally give no indication as to the types of lineages (sexual, asexual or obligate asexual) represented by the collected specimen(s). Therefore, this point distribution map (Fig. 1, Fig. S1) was used as the starting point for model development, but experimental data from the scientific literature were used to distinguish between the sexual and asexual models. The CABI distribution map (Commonwealth Agricultural Bureaux International, 1971) produced in 1971, and the Crop Protection Compendium (Commonwealth Agricultural Bureaux International, 2007, R. padi entry updated 20 April 2001) were used to supplement these point locations with administrative region reports (Fig. 1, Fig. S1). These reports were used to code a world administrative region shapefile (ESRI, Redlands, CA) as present (1), or absent (0). These fuzzy spatial data were used to check model concordance, but were otherwise not used to fit model parameters.
The point records were collected from searches of the Global Biodiversity Information Facility, the Australian Plant Pest Database, published literature gathered through Web of Science searches, suction sample catches of the aphid throughout the UK and Europe (EXAMINE network), and specimen collection labels in museums (Australian National Insect Collection, Canadian National Collection of Insects). The CABI distribution map (Commonwealth Agricultural Bureaux International 1971) produced in 1971 and the Crop Protection Compendium (Commonwealth Agricultural Bureaux International 2007) was used to supplement these point locations with administrative region reports (shaded grey). The North American distribution points (circle A.) were used to fit both models, and the European distribution data (circle B.) used to verify the fit of the models.
Prunus padus is the main winter host plant in Europe, but R. padi can also use P. spinosa , P. virginiana and P. pennsylvanica in the USA , , and P. cerasus , although it is listed as non-preferred). There is some suggestion in the literature that R. padi can persist on P. persica in Asia (citation in ) however we could not confirm this report. The distributions of the five recorded Prunus host species were determined using GBIF point records and the USDA PLANTS database (USDA 2010, www.plants.usda.gov). These reports were used to code a world administrative region shapefile (ESRI, Redlands, CA) as present (1), or absent (0) if none of the five Prunus species were recorded as present in the region. For New Zealand extra data were gathered that showed that commercial cherries (including P. cerasus) are grown in the Otago, Marlborough and Hawkes Bay regions. These regions were coded as present (1) in the shapefile.
For this study, we chose to use CLIMEX , a climate-based computer system for exploring the relationship between climate, species distributions and patterns of growth. Whilst there is a plethora of techniques available for modelling species distributions , , CLIMEX allows us to incorporate information from various knowledge domains besides the geographic point locations at which the species has been found, and is useful for estimating the potential range of species in novel climates such as may be encountered in intercontinental model projections . This latter ability is aided by the fact that it’s environmental response functions are constrained to conform with ecological principles such as the Law of Tolerance  and the Law of the Minimum . CLIMEX was used to build models of each of the sexual and asexual lineages of R. padi (Table 1, Supporting Information S1). The asexual R. padi model was fitted first, relying upon a combination of geographic and published experimental data. The asexual R. padi CLIMEX model parameters were then adjusted to accommodate changes in the climatic tolerances documented for the sexual lineages. The asexual model makes no distinction between facultative asexual lineages and obligate asexual lineages that have lost their ability to reproduce sexually. The sexual model represents a life-cycle in which individuals will produce cold-resistant eggs to withstand cold winter conditions (obligate diapause). In areas where the winter is mild populations can still persist year-round but do not go into diapause. Both models were fitted to the North American distribution data (where we had comprehensive records), and verified using European distribution data (Fig. 1). Distribution data elsewhere were reserved for model validation. CLIMEX calculates a weekly Growth Index (GIW) that describes the species population response to temperature and soil moisture through the Temperature (TI) and Soil Moisture (MI) indices respectively (Table 1, Supporting Information S1). GIW is integrated to provide the Annual Growth Index (GIA). Factors that limit a species’ ability to persist at a particular location are known as stress indices (hot, cold, wet, dry) and interaction stress indices (hot-wet, hot-dry, cold-wet and cold-dry). These individual stress values are combined to create the annual Stress Index (SI), and when combined with the Annual Growth Index (GIA) the programme calculates the Ecoclimatic index (EI). The EI is a measure of the overall suitability of a location for species persistence year-round (the larger the value the more suitable) . The geographic range of a species is relatively insensitive to changes in parameters for growth indices; whereas the spatio-temporal pattern of relative climatic suitability within the geographic range is strongly affected by growth index parameters. In the absence of relative abundance measures across a range of sites it is necessary to draw upon observations of a species response to climatic factors in development rate experiments, or to infer parameters from phenological observations. Ideally, information from both of these sources can be used as a powerful form of independent cross validation.
Temporal patterns in abundance from suction samples ( EXAMINE trap network www.rothamsted.ac.uk/examine/) at three sites in Europe (Cáslav in the Czech Republic, Jokioinen in Finland and Rothamsted in England) were used to verify the fit of both models. The monthly catch of R. padi (males plus females) in suction samples at each site was averaged across the years 1996–2000. These data were compared to the average GIW for each month produced by the CLIMEX model at each of these sites. This was calculated by totalling the GIW values and dividing by the number of weeks in each month. In Australia, phenological data from monthly yellow pan collections from four sites (Canberra, Australian Capital Territory; Mackay, Queensland; Grove, Tasmania; and Adelaide Hills, South Australia) in 1961 were used in model comparisons . Ideally we would like to compare phenological data collected across multiple years from these sites to capture inter-annual variability; however this information was not available. These data were compared to the average GI for each month produced by the CLIMEX model at each of these sites. Only the asexual model was assessed in Australia because sexual lineages are unlikely given that cold winter climates are limited, the primary wood host plant is rare (commercial cherries, Prunus cerasus are grown only in limited areas and there are a few point records for the other Prunus host species), and the timing of predominately winter cereal cropping throughout south-eastern and Western Australia means that asexuals would generally out-number sexuals.
Classification of Pest Risk
The definitions of invasion risk adopted by the FAO in the International Standard for Phytosanitary Measures (ISPM)  provide a framework for the invasion risks assessed here. Areas are endangered if “…ecological factors favour the establishment of a pest whose presence in the area will result in economically important loss” (p 49), where establishment is defined as “The perpetuation, for the foreseeable future, of a pest within an area after entry” (p 49). In CLIMEX terms, we interpret those areas to be where the EI is greater than 0, indicating that all climatic factors necessary for survival have been met, albeit at a marginal level if the EI value is low (e.g. EI<10) and a suitable prunus host was present. A transient threat is posed if “the presence of a pest … is not expected to lead to establishment (p 56). This corresponds to an area where the EI is 0, and the GIA is greater than 0. This rationale was used to create a matrix of invasion risk categories based on the spatial patterns in EI versus GIA for each model, and the presence or absence of the primary Prunus host (Table 2). An area was considered potentially endangered if sexual populations could exist there year round, but a suitable Prunus host was reportedly absent. This extra risk category was introduced to account for uncertainty surrounding the Prunus distribution records (in some areas the Prunus host may be present but has not yet been recorded in the databases we accessed). The risk classifications were applied in Excel using a set of nested ‘IF THEN’ conditions.
The ability of R. padi to invade an area seasonally where crops are grown under natural rainfall conditions was assessed by spatially intersecting the Australian distribution data for the asexual R. padi model, the cropping area polygons selected from the Land Use of Australia, V4, 2005–2006 dataset (Australian Bureau of Agricultural and Resource Economics and Sciences, www.abares.gov.au), and the CLIMEX results. Transient areas where seasonal invasion could take place were coded 1 and represented cells with GIA>0 and EI = 0. Endangered areas where asexual lineages could persist year round were coded 2 and represent cells with EI>0. In both cases, more than one generation per year was required.
Baseline climatic data used to build the models was taken from the TYN CL1.0 dataset supplied by the Climatic Research Unit (CRU) of the University of East Anglia for the period 1961–1990 . For the ‘Compare Locations’ analyses, CLIMEX requires five climatic variables in the form of long-term monthly means of daily minimum temperature, daily maximum temperature, relative humidity at 0900 hours and 1500 hours, and monthly total precipitation. Where necessary, the variables supplied by the CRU were transformed as described by Stephens et al.  and Kriticos et al. . The output from the models (EI values, GI values and Risk categories), illustrated on global maps, were plotted at the 0.5° grid cell scale.
The potential distribution of R. padi appears to be influenced by irrigation in Mediterranean climates, providing a means for it to persist through the dry summers . To assess the potential influence of this agricultural practice we ran an irrigation scenario in CLIMEX and applied it to both sexual and asexual models. The irrigation scenario consisted of a simple “top-up” irrigation of 2 mm day−1 during the six summer months. In this case, for any week in which there is less than 14 mm rainfall, the deficit was added prior to the calculation of the soil moisture balance.
Current Known and Modelled Geographic Distribution
Rhopalosiphum padi is a palaearctic species that appears climatically suited to large areas of both northern and southern hemispheres (Fig. 1). Both the sexual and asexual models (Fig 2 and 3 respectively) match the known distribution in its native range in North America, with little apparent model commission error (areas modelled as suitable without occurrence records). Elsewhere the models also fitted all known observations. The GIA output of the asexual and sexual models matched well with the CABI distribution map produced in 1971 (compare Fig. 1 with Fig. 2b and Fig. 3b). Our model also highlights additional areas which appear to be climatically suitable for R. padi but were not recorded as having the species on the CABI map. However, the nature of the CABI distribution map means that these areas should not be interpreted as indicating model commission error, but rather that the model is untested in those areas. Further support for our models comes from the results of the temporal comparison of the yearly phenology graphs produced by the models and the empirical data from the EXAMINE traps and Hughes 1961  yellow pan traps. Similar patterns in terms of months of peak abundance were found between the data sets (graphs not shown). The asexual model (Fig. 2) clearly illustrates the inability of R. padi to persist year round in areas with severely cold winters, however the GIA suggests that many cropping areas around the world may nonetheless be suitable suitable for seasonal invasion (i.e. long-distance and local movement of asexuals from grass species into the growing cereal crop). The model suggests that sexually reproducing aphids (Fig. 3) can persist in areas with more severe cold winters than asexual populations (e.g. parts of Eastern Europe, Fig. 3a), however the geographic pattern of growth potential described by the GIA is more restricted than in the asexual model due to the presence of an obligate diapause, during which growth is suspended. The sexual model does not contain information about the presence of primary woody host plant in the regions with cold winters, which is one factor crucial for successful development in sexual lineages. When we compared the global distribution of Prunus host plant point records we found that they encompassed the predicted distribution of R. padi based on our sexual model (EI>0). We would expect this to be the case given that we fitted the sexual model to the known distribution of R. padi, and adjusted the cold stress and diapause parameters according to evidence that sexual populations rarely occur in some regions of Canada.
The model was parameterised for the asexual mode of reproduction and shows; (a), the Ecoclimatic Index, indicating the potential distribution of sexual populations (potential for year round persistence EI>0); and (b), the annual Growth Index GIA indicating areas that are suitable for growth at some point during the year (GIA>0). This model does not include data about the presence of a suitable primary host plant.
The model was parameterised for the sexual mode of reproduction and shows; (a), the Ecoclimatic Index, indicating the potential distribution of sexual populations (potential for year round persistence EI>0); and (b), the annual Growth Index GIA indicating areas that are suitable for growth at some point during the year (GIA>0). This model does not include data about the presence of a suitable primary host plant.
Pest Risk Around the World
Data on the presence (or absence) of the Prunus host species were incorporated into the risk analysis to give a more comprehensive global picture of R. padi risk (Fig. 4). At the global level almost half of the area suitable for R. padi falls in the ‘transient both’ risk category (48% natural rainfall, 46% irrigation) (Fig. 5). The next most common risk category is for ‘endangered asexual only and transient sexual’ (20% natural rainfall, 23% irrigation). The regions of the world experiencing risk from establishment of populations of both the sexual and asexual lineages (‘Endangered both’) closely reflect warm temperate climates in North America, Europe and Australia. Areas that are transient for both sexual and asexual include continental climates with a cool summer (northern hemisphere) or arid climates (southern hemisphere) (Fig 4). Large areas of Eastern Europe (Russia) are potentially endangered by populations of sexual R. padi lineages (and transient asexuals) if a suitable Prunus host plant species is present in this area (or is introduced into this area). When an irrigation scenario was included, the greatest change in risk categories is seen in regions of the world with arid climates (Fig. 4). At the global scale, there is very little difference between natural rainfall and irrigation scenarios in terms of the proportional area occupied by each risk category (Fig. 5). However, when we examine more closely a country such as Australia (which is dominated by an arid climate, and only asexual lineages are common) there are quite dramatic differences between natural rainfall and irrigation scenarios (Fig. 5). In Australia, the amount of land endangered by populations of asexual lineages and at risk from transient populations of sexual lineages increased (by 20%) under irrigation and land suitable for transient lineages of both reproductive modes decreased under irrigation (by 18%).
Two scenarios are shown that represent; (a), natural rainfall conditions; and (b), an irrigation scenario. Results are based on the output from sexual and asexual CLIMEX models and the presence or absence of the primary woody host plant. Invasion risk categories are based on the International Standard for Phytosanitary Measures (ISPM) (FAO 2006). ‘Endangered’ indicates areas that are at risk of R. padi populations establishing and persisting year-round, ‘Transient’ indicates areas that are at risk of seasonal reinvasion but conditions are not suitable for persistence year-round, and ‘Potentially endangered’ indicates areas at risk of persistent populations year-round if a suitable Prunus host plant were introduced.
The data for the world (a), and Australia only (b), is generated from two CLIMEX models. The models illustrate the asexual and sexual modes of reproduction of the species, the presence or absence of the primary host plant and scenarios incorporating natural rainfall or irrigation. The ‘potentially endangered sexual only and transient asexual’ risk category is not shown here.
For Australia we extracted the cropping regions from the Land Use V4 dataset to examine what proportional area of the cropping zone (approximately 14.6 million ha of land) was at risk from seasonal re-invasion by transient populations of asexual lineages. Whilst land outside the cropping zone is also climatically suitable for R. padi the impact of attack by R. padi on crops is of economic importance. Only the asexual model output was considered in this analysis. A very small amount of cropping land (1.6% or 232,000 ha) was unsuitable for growth of R. padi asexual lineages. When an irrigation scenario was applied, the area of land at potential risk from persistent year-round populations of asexual lineages of R. padi increased to 33% (Fig. 6). This equates to an extra 4.5 million ha of potential cropping land falling into this risk category.
Here we have used a relatively simple modelling methodology to describe the global potential distribution (based on climatic variables) and pest risk posed by an aphid species with a variable life-history. Using this approach we have been able to integrate information on differences in environmental limits to growth for the sexual and asexual lineages, along with the presence or absence of the primary host plant, to present global pest risk patterns. The resulting models accord with the current known geographic distribution of this species and provide comprehensive maps of the potential distribution in areas where collection records are scarce or unavailable. The areas modelled as being environmentally suitable for R. padi, but have no collection records provide the basis for a set of testable hypotheses concerning sampling biases, non-climatic factors (e.g., host distribution), wind patterns, invasion lags and model formulation. The model output provided insight into the nature and extent of the pest risk posed by this species, and how factors such as primary host presence and irrigation practices might significantly influence the extent and nature of the pest risk.
Asexuality generally limits the adaptive potential of a species when colonizing new areas (but increases colonisation potential). However, R. padi, like other pest aphids , occupies a broad climatic niche that has been crucial to its widespread invasion success around the world; indeed, most of the major grain growing regions of the world appear climatically suitable for this species. From our results we can see how the presence of the primary host plant and irrigation can significantly increase the potential range of this species. Using this methodology we can also see that large areas of the world are suitable for populations of R. padi to persist year-round. Whether or not a particular region is more suitable for sexual versus asexual lineages in our models, not surprisingly depends largely on cold winter conditions and the presence of an alternative primary host. The absence of this primary host plant limits the sexual lineages ability to occupy areas that have suitable conditions for growth at other times of the year. Clearly, if this primary host plant was more widespread we would see larger areas of land suitable for endangered sexual lineages (blue areas in Fig. 4). Our analysis does not include factors such as competition between sexual and asexual lineages throughout time, and colonisation history, which may influence the relative abundance of sexual versus asexual lineages in particular regions. Furthermore, there is some evidence that not all the Prunus host species we have included here are equally suitable as hosts .
The irrigation scenario results are particularly relevant to arid cropping areas such as those found in Australia. The model suggests that the majority of the wheat/sheep belt of Australia is favourable for the growth and survival of R. padi. In fact less than 2% of cropping land was modelled as unfavourable. Very few parts of the Australian wheat/sheep cropping belt are currently under irrigation (approximately 7% of total cropping area is irrigated). However, irrigation also occurs on land used for pastures and horticulture. The addition of an irrigation scenario to the asexual model made a larger area of cropping land suitable for persistent populations year-round.
The modelling results provide useful guidance for the future management of this pest. Firstly, the abundance of sexual and asexual lineages in a particular area has implications for plant damage due to the transmission of aphid-vectored viruses. Vitou & Edwards  showed that aphids (Diuraphis noxia) from an asexual lineage caused significantly more damage to wheat in comparison to a sexual lineage in a laboratory-based experiment. Cropping areas of the world that are currently suitable for the establishment of sexual lineages may experience a greater threat from R. padi vectored viruses if warmer winters in the future lead to a greater prevalence of asexual lineages , , and grassy weeds that act as alternative hosts serve as virus reservoirs. Furthermore, the differences in time of arrival and build-up of migratory asexual populations and local sexual populations may alter their relative impacts. Secondly, these types of niche models represent the first step towards predicting seasonal peaks in aphid abundance . The climatic favourability of a particular site for growth of aphid populations as described through the GIw indicates where outbreaks could potentially occur, but the timely arrival of migrants from suitable oversummering or overwintering sites is also necessary for the build-up of populations. More broadly, modelling the climate suitability for each R. padi reproductive mode separately enabled the geographic patterns of the different types of risk to be mapped, which can aid in the development of region-specific pest management plans.
As with all studies that aim to model a species with a complex life-history we have simplified parts of R. padi’s life-cycle which puts certain limitations on the results we discuss here. We have presented the asexual and sexual reproductive modes as two separate models, but in reality they are a continuation of the one life-cycle. Asexual clones can produce sexual clones in response to seasonal conditions (with the exception of obligate asexual lineages that generally will not alter their reproductive mode despite conditions). By then combining these two models to assess pest risk, our distribution maps reflect the complexity inherent in this species life-history across space but not across time. Whist it is possible to develop more complex lifecycle models (using tools such as DYMEX and ILCYM (research.cip.cgiar.org)) to generate pest risk models, their information demands are great, and it is likely that ecologically significant factors might remain unaddressed when the detailed model is applied across a gridded climate station network. That is, in an effort to achieve more precision, they may run into ecological scaling issues that make them less accurate. For this reason, a complementary modelling approach can prove very useful for the study of a species. A niche model can provide the broad geographical and phenological context  and a process-based population dynamics model  can provide the detailed insight into the system dynamics. In these examples with modelling the Queensland Fruit Fly, the CLIMEX model indicated overall climate suitability patterns, and was used for an assessment of invasion risk and climate change sensitivity . The detailed population dynamics model was used to provide case study insight at selected locations where detailed information was available . The starting point for both CLIMEX models was R. padi point distribution records collated from a range of sources (Fig. 1). Some time was spent removing (or corroborating) erroneous records, though we cannot rule out the possibility of incorrect identifications. Likewise there are large areas of the world that appear suitable for R. padi for which no point references were found. For example, caution must be exercised when interpreting the model output in tropical areas as R. padi may experience some form of biotic stress associated with hot and wet conditions. However, we did not have sufficient reliable data with which to fit parameters to explore this point. There is some evidence that aphid populations can be limited by the presence of parasitoids or predators in certain circumstances . These biotic interactions are likely to affect the abundance of the species, but perhaps not restrict its potential range significantly. In regions such as South America and China, that appear climatically suitable, we found very few published records. It may be that there are many records for R. padi that have not yet been digitized (and so are not available) or a lack of recording effort in these regions. In contrast other regions (e.g. south-west Western Australia) have a disproportionate number of records that may represent a concerted research effort in this area. The CLIMEX programme allowed us to incorporate information from published experimental studies that examined growth and development parameters for R. padi however for parameters such as moisture index no published information was available (Supporting Information S1). In this case we took a conservative approach and used the wilting point of plants as a surrogate for moisture index. If R. padi, responds differently to moisture conditions than its hosts, this may alter the output of our models. Finally, the climatic variables obtained from weather stations used in this model may not reflect the microclimate experienced by aphids whilst on their host plant . However, given the large spatial scale used in this study it is unlikely that microclimate issues will have a significant impact on the potential range of R. padi as mapped here. Despite these limitations our models describe some of the more important life-history parameters of R. padi and therefore are useful for investigating applied issues (seasonal movement, irrigation) and the broader pest management issues discussed above. The models showed that whilst R. padi has a relatively limited area in which sexual lineages can persist year round, a much larger area of land globally is suitable for transient asexual and sexual lineages to exist during favourable seasons. The modelling approach proved useful for examining factors that influence the seasonal growth and potential range of a pest species that occupies a broad climatic niche and has a variable life-history. Whilst niche models cannot incorporate all the complexity inherently present in any single species, understanding species ecology and thereby including the right complexity into the model goes some way to making these models useful in applied contexts.
Global recorded distribution of Prunus host plants of R. padi. The distributions of the five recorded Prunus host species were determined using GBIF point records and the USDA PLANTS database (USDA 2010, www.plants.usda.gov) (a). These reports were used to code a world administrative region shapefile (ESRI, Redlands, CA) as present (1), or absent (0) if none of the five Prunus species were not known to occur in the region (b). For New Zealand extra data were gathered that showed that commercial cherries (including P. cerasus) are grown in the Otago, Marlborough and Hawkes Bay regions.
We would like to thank Robert G. Foottit, Hazel R. Parry and many other scientists we contacted to gather information about R. padi biology and ecology. We thank Richard Harrington for providing access to the EXAMINE project suction sample data, Antonin Kohler for permission to use the Cáslav data and Irmeli Markkula for permission to use the Jokioinen data. Owain Edwards, Paul de Barro, Richard Harrington and anonymous reviewers provided invaluable comments on earlier versions of this manuscript.
Conceived and designed the experiments: SM DM. Performed the experiments: SM DM. Analyzed the data: SM DM. Contributed reagents/materials/analysis tools: SM DM. Wrote the paper: SM DM.
- 1. Guisan A, Thuiller W (2005) Predicting species distribution: offering more than simple habitat models. Ecol. Lett. 8: 993–1009.A. GuisanW. Thuiller2005Predicting species distribution: offering more than simple habitat models. Ecol. Lett.89931009
- 2. Guisan A, Zimmermann NE (2000) Predictive habitat distribution models in ecology. Ecol. Modell. 135: 147–186.A. GuisanNE Zimmermann2000Predictive habitat distribution models in ecology. Ecol. Modell.135147186
- 3. Kriticos DJ, Randall RP (2001) A comparison of systems to analyse potential weed distributions. In: Groves RH, Panetta FD, Virtue JG, editors. pp. 61–79.DJ KriticosRP Randall2001A comparison of systems to analyse potential weed distributions.RH GrovesFD PanettaJG Virtue6179editors.Weed Risk Assessment Melbourne: CSIRO Publishing. Weed Risk Assessment Melbourne: CSIRO Publishing.
- 4. Sutherst RW (2003) Prediction of species geographical ranges. J. Biogeogr. 30: 805–816.RW Sutherst2003Prediction of species geographical ranges. J. Biogeogr.30805816
- 5. Underwood EC, Klinger R, Moore PE (2004) Predicting patterns of non-native plant invasions in Yosemite National Park, California, USA. Divers. Distrib. 10: 447–459.EC UnderwoodR. KlingerPE Moore2004Predicting patterns of non-native plant invasions in Yosemite National Park, California, USA. Divers. Distrib.10447459
- 6. Ferrier S, Guisan A (2006) Spatial modelling of biodiversity at the community level. J. Appl. Ecol. 43: 393–404.S. FerrierA. Guisan2006Spatial modelling of biodiversity at the community level. J. Appl. Ecol.43393404
- 7. Watt MS, Kriticos DJ, Alcaraz S, Brown AV, Leriche A (2009) The hosts and potential geographic range of Dothistroma needle blight. For. Ecol. Manage. 257: 1505–1519.MS WattDJ KriticosS. AlcarazAV BrownA. Leriche2009The hosts and potential geographic range of Dothistroma needle blight. For. Ecol. Manage.25715051519
- 8. Yonow T, Kriticos DJ, Medd RW (2004) The potential geographic range of Pyrenophora semeniperda. Phytopathology 94: 805–812.T. YonowDJ KriticosRW Medd2004The potential geographic range of Pyrenophora semeniperda.Phytopathology94805812
- 9. Blackman RL, Eastop VF (1994) Aphids on the world’s trees: An identification and information guide. Wallingford: CAB International. RL BlackmanVF Eastop1994Aphids on the world’s trees: An identification and information guide.Wallingford: CAB International
- 10. Parry HR, Evans AJ, Morgan D (2006) Aphid population response to agricultural landscape change: A spatially explicit, individual-based model. Ecol. Modell. 199: 451–463.HR ParryAJ EvansD. Morgan2006Aphid population response to agricultural landscape change: A spatially explicit, individual-based model. Ecol. Modell.199451463
- 11. Murray MD, Nix HA (1987) Southern limits of distribution and abundance of the biting midge culicoides brevitarsus kieffer (diptera: Ceratopogonidae) in south eastern Australia. Aust. J. Zool. 35: 575–585.MD MurrayHA Nix1987Southern limits of distribution and abundance of the biting midge culicoides brevitarsus kieffer (diptera: Ceratopogonidae) in south eastern Australia. Aust. J. Zool.35575585
- 12. Williams JD, Sutherst RW, Maywald GF, Petherbridge CT (1985) The southward spread of buffalo fly (haematobia irritans) in eastern Australia and its survival through a severe winter. Aust. Vet. J. 62: 367–369.JD WilliamsRW SutherstGF MaywaldCT Petherbridge1985The southward spread of buffalo fly (haematobia irritans) in eastern Australia and its survival through a severe winter. Aust. Vet. J.62367369
- 13. Brown JH, Stevens GC, Kaufman DM (1996) The geographic range: Size, shape, boundaries, and internal structure. Annu. Rev. Ecol. Syst. 27: 597–623.JH BrownGC StevensDM Kaufman1996The geographic range: Size, shape, boundaries, and internal structure. Annu. Rev. Ecol. Syst.27597623
- 14. Leather SR, Walters KFA, Dixon AFG (1989) Factors determining the pest status of the bird cherry oat aphid Rhaopalosiphum padi (L) (Hemiptera, Aphididae), in Europe - a study and review. Bull. Entomol. Res. 79: 345–360.SR LeatherKFA WaltersAFG Dixon1989Factors determining the pest status of the bird cherry oat aphid Rhaopalosiphum padi (L) (Hemiptera, Aphididae), in Europe - a study and review. Bull. Entomol. Res.79345360
- 15. Milne WM, Delves RI (1999) Impact of cereal aphids on wheat yields in southern New South Wales, Australia. Aust. J. Exp. Agric. 39: 171–180.WM MilneRI Delves1999Impact of cereal aphids on wheat yields in southern New South Wales, Australia. Aust. J. Exp. Agric.39171180
- 16. Thackray DJ, Diggle AJ, Jones RAC (2009) BYDV PREDICTOR: a simulation model to predict aphid arrival, epidemics of Barley yellow dwarf virus and yield losses in wheat crops in a Mediterranean-type environment. Plant Pathology 58: 186–202.DJ ThackrayAJ DiggleRAC Jones2009BYDV PREDICTOR: a simulation model to predict aphid arrival, epidemics of Barley yellow dwarf virus and yield losses in wheat crops in a Mediterranean-type environment.Plant Pathology58186202
- 17. Halkett F, Plantegenest M, Prunier-Leterme N, Mieuzet L, Delmotte F, et al. (2005) Admixed sexual and facultatively asexual aphid lineages at mating sites. Mol. Ecol. 14: 325–336.F. HalkettM. PlantegenestN. Prunier-LetermeL. MieuzetF. Delmotte2005Admixed sexual and facultatively asexual aphid lineages at mating sites. Mol. Ecol.14325336
- 18. Lees DA (1966) The control of polymorphism in aphids. In: Beament JWL, editor. pp. 207–277.DA Lees1966The control of polymorphism in aphids.JWL Beament207277editor.Advances in insect physiology.London: Academic Press Inc. London: Academic Press Inc.
- 19. Ward SA, Leather SR, Dixon AFG (1984) Temperature prediction and the timing of sex in aphids. Oecologia 62: 230–233.SA WardSR LeatherAFG Dixon1984Temperature prediction and the timing of sex in aphids.Oecologia62230233
- 20. Leather SR (1981) Factors affecting egg survival in the bird cherry oat aphid Rhaopalosiphum padi. Entomol. Exp. Appl. 30: 197–199.SR Leather1981Factors affecting egg survival in the bird cherry oat aphid Rhaopalosiphum padi. Entomol. Exp. Appl.30197199
- 21. Lushai G, Hardie J, Harrington R (1996) Diapause termination and egg hatch in the bird cherry aphid, Rhopalosiphum padi. Entomol. Exp. Appl. 81: 113–115.G. LushaiJ. HardieR. Harrington1996Diapause termination and egg hatch in the bird cherry aphid, Rhopalosiphum padi. Entomol. Exp. Appl.81113115
- 22. Strathdee AT, Howling GG, Bale JS (1995) Cold-hardiness of overwintering aphid eggs. J. Insect Physiol. 41: 653–657.AT StrathdeeGG HowlingJS Bale1995Cold-hardiness of overwintering aphid eggs. J. Insect Physiol.41653657
- 23. Voegtlin DJ, Halbert SE (1998) Variable morph production by some north American clones of Rhopalosiphum padi in response to reduced photoperiod and temperature. In: Nieto Nafria JM, Dixon AFG, editors. pp. 309–315.DJ VoegtlinSE Halbert1998Variable morph production by some north American clones of Rhopalosiphum padi in response to reduced photoperiod and temperature.JM Nieto NafriaAFG Dixon309315editors.Aphids in natural and managed ecosystems (Proceedings of the Fifth International Symposium on Aphids, September 15th - 19th, 1997).Leon: Universidad de Leon. Leon: Universidad de Leon.
- 24. Halkett F, Kindlmann P, Plantegenest M, Sunnucks P, Simon JC (2006) Temporal differentiation and spatial coexistence of sexual and facultative asexual lineages of an aphid species at mating sites. J. Evol. Biol. 19: 809–815.F. HalkettP. KindlmannM. PlantegenestP. SunnucksJC Simon2006Temporal differentiation and spatial coexistence of sexual and facultative asexual lineages of an aphid species at mating sites. J. Evol. Biol.19809815
- 25. Richards WR (1960) A synopsis of the genus Rhopalosiphum in Canada (Homoptera: Aphididae). Can. Entomol. pp. 5–45.WR Richards1960A synopsis of the genus Rhopalosiphum in Canada (Homoptera: Aphididae). Can.Entomol545
- 26. De Barro PJ (1992) The role of temperature, photoperiod, crowding and plant quality on the production of alate viviparous females of the bird cherry-oat aphid, Rhopalosiphum padi. Entomol. Exp. Appl. 65: 205–214.PJ De Barro1992The role of temperature, photoperiod, crowding and plant quality on the production of alate viviparous females of the bird cherry-oat aphid, Rhopalosiphum padi. Entomol. Exp. Appl.65205214
- 27. Dixon AFG (1998) Aphid Ecology, An optimization approach. London: Chapman & Hall. AFG Dixon1998Aphid Ecology, An optimization approach.London: Chapman & Hall
- 28. Fabre F, Pierre JS, Dedryver CA, Plantegenest M (2006) Barley yellow dwarf disease risk assessment based on Bayesian modelling of aphid population dynamics. Ecol. Modell. 193: 457–466.F. FabreJS PierreCA DedryverM. Plantegenest2006Barley yellow dwarf disease risk assessment based on Bayesian modelling of aphid population dynamics. Ecol. Modell.193457466
- 29. Foster GN, Blake S, Tones SJ, Barker I, Harrington R (2004) Occurrence of barley yellow dwarf virus in autumn-sown cereal crops in the United Kingdom in relation to field characteristics. Pest Manag. Sci. 60: 113–125.GN FosterS. BlakeSJ TonesI. BarkerR. Harrington2004Occurrence of barley yellow dwarf virus in autumn-sown cereal crops in the United Kingdom in relation to field characteristics. Pest Manag. Sci.60113125
- 30. Carter N (1994) Cereal aphid modelling through the ages. In: Leather SR, Watt AD, Mills NJ, Walters KFA, editors. pp. 129–138.N. Carter1994Cereal aphid modelling through the ages.SR LeatherAD WattNJ MillsKFA Walters129138editors.Individuals, populations and patterns in ecology.Hampshire: Intercept Ltd. Hampshire: Intercept Ltd.
- 31. Gilabert A, Simon JC, Mieuzet L, Halkett F, Stoeckel S, et al. (2009) Climate and agricultural context shape reproductive mode variation in an aphid crop pest. Mol. Ecol. 18: 3050–3061.A. GilabertJC SimonL. MieuzetF. HalkettS. Stoeckel2009Climate and agricultural context shape reproductive mode variation in an aphid crop pest. Mol. Ecol.1830503061
- 32. Rispe C, Pierre JS (1998) Coexistence between cyclical parthenogens, obligate parthenogens, and intermediates in a fluctuating environment. J. Theor. Biol. 195: 97–110.C. RispeJS Pierre1998Coexistence between cyclical parthenogens, obligate parthenogens, and intermediates in a fluctuating environment. J. Theor. Biol.19597110
- 33. Hughes RD, Casimir M, O’Loughlin GT, Martyn EJ (1964) A survey of aphids flying over eastern Australia in 1961. Australian J Zool 12: 174–200.RD HughesM. CasimirGT O’LoughlinEJ Martyn1964A survey of aphids flying over eastern Australia in 1961.Australian J Zool12174200
- 34. Honek A, Jarosik V, Dixon AFG (2006) Comparing growth patterns among field populations of cereal aphids reveals factors limiting their maximum abundance. Bull. Entomol. Res. 96: 269–277.A. HonekV. JarosikAFG Dixon2006Comparing growth patterns among field populations of cereal aphids reveals factors limiting their maximum abundance. Bull. Entomol. Res.96269277
- 35. Sandstrom JP, Pettersson J (2000) Winter host plant specialization in a host-alternating aphid. J. Insect Behav. 13: 815–825.JP SandstromJ. Pettersson2000Winter host plant specialization in a host-alternating aphid. J. Insect Behav.13815825
- 36. Torikura H (1991) Seasonal occurrence of some morphs of Rhopalosiphum spp. (Homoptera: Aphididae) on the primary host in Hokkaido. Annual Report of the Society of Plant Protection of North Japan 42: 114–116.H. Torikura1991Seasonal occurrence of some morphs of Rhopalosiphum spp. (Homoptera: Aphididae) on the primary host in Hokkaido.Annual Report of the Society of Plant Protection of North Japan42114116
- 37. Rogerson JP (1947) The oat bird-cherry aphis, Rhopalosiphum padi, L, and comparison with R. crataegellum, Theo (Hemiptera, Aphididae). Bull. Entomol. Res. 38: 157–176.JP Rogerson1947The oat bird-cherry aphis, Rhopalosiphum padi, L, and comparison with R. crataegellum, Theo (Hemiptera, Aphididae). Bull. Entomol. Res.38157176
- 38. Sutherst RW, Maywald GF (1985) A computerised system for matching climates in ecology. Agric. Ecosyst. Environ. 13: 281–299.RW SutherstGF Maywald1985A computerised system for matching climates in ecology. Agric. Ecosyst. Environ.13281299
- 39. Elith J, Graham CH, Anderson RP, Dudik M, Ferrier S, et al. (2006) Novel methods improve prediction of species’ distributions from occurrence data. Ecography 29: 129–151.J. ElithCH GrahamRP AndersonM. DudikS. Ferrier2006Novel methods improve prediction of species’ distributions from occurrence data.Ecography29129151
- 40. Webber BL, Yates CJ, Le Maitre DC, Scott JK, Kriticos DJ, et al. (2011) Modelling horses for novel climate courses: insights from projecting potential distributions of native and alien Australian acacias with correlative and mechanistic models. Divers. Distrib. 17: 978–1000.BL WebberCJ YatesDC Le MaitreJK ScottDJ Kriticos2011Modelling horses for novel climate courses: insights from projecting potential distributions of native and alien Australian acacias with correlative and mechanistic models. Divers. Distrib.179781000
- 41. Shelford VE (1963) The ecology of North America. Urbana, IL., USA. : University of IIIinoise Press. VE Shelford1963The ecology of North America. Urbana, IL., USA.: University of IIIinoise Press
- 42. can der Ploeg RR, Bohm W, Kirkham MB (1999) On the origin of the theory of mineral nutrition of plants and the law of the minimum. Soil Sci. Soc. Am. J. 63: 1055–1062.RR can der PloegW. BohmMB Kirkham1999On the origin of the theory of mineral nutrition of plants and the law of the minimum. Soil Sci. Soc. Am. J.6310551062
- 43. Maywald GF, Kriticos DJ, Sutherst RW, Bottomley W (2007) Dymex Model Builder Version 3: User’s Guide. Melbourne: Hearne Publishing. GF MaywaldDJ KriticosRW SutherstW. Bottomley2007Dymex Model Builder Version 3: User’s Guide.Melbourne: Hearne Publishing
- 44. Harrington R, Verrier P, Denholm C, Hulle M, Maurice D, et al. (2004) EXAMINE (EXploitation of Aphid Monitoring In Europe): an European thematic network for the study of global change impacts on aphids. In: Simon JC, Dedryver CA, Rispe C, Hulle M, editors. pp. 45–49.R. HarringtonP. VerrierC. DenholmM. HulleD. Maurice2004EXAMINE (EXploitation of Aphid Monitoring In Europe): an European thematic network for the study of global change impacts on aphids.JC SimonCA DedryverC. RispeM. Hulle4549editor.Aphids in a New Millennium. Aphids in a New Millennium.
- 45. FAO (2006) International standards for phytosanitary measures: 1 to 24: Secretariat of the International Plant Protection Convention. FAO2006International standards for phytosanitary measures: 1 to 24: Secretariat of the International Plant Protection Convention.
- 46. Mitchell TD, Carter TR, Jones PD, Hulme M, New M (2004) A comprehensive set of climate scenarios for Europe and the globe: the observed record (1900–2000) and 16 scenarios (2000–2100). Norwich: University of East Anglia. TD MitchellTR CarterPD JonesM. HulmeM. New2004A comprehensive set of climate scenarios for Europe and the globe: the observed record (1900–2000) and 16 scenarios (2000–2100).Norwich: University of East Anglia
- 47. Stephens AEA, Kriticos DJ, Leriche A (2007) The current and future potential geographical distribution of the oriental fruit fly, Bactrocera dorsalis (Diptera : Tephritidae). Bull. Entomol. Res. 97: 369–378.AEA StephensDJ KriticosA. Leriche2007The current and future potential geographical distribution of the oriental fruit fly, Bactrocera dorsalis (Diptera : Tephritidae). Bull. Entomol. Res.97369378
- 48. Kriticos DJ, Webber BL, Leriche A, Ota N, Macadam I, et al. (2011) CliMond: global high resolution historical and future scenario climate surfaces for bioclimatic modelling. Methods Ecol. Evol. 3: 53–64.DJ KriticosBL WebberA. LericheN. OtaI. Macadam2011CliMond: global high resolution historical and future scenario climate surfaces for bioclimatic modelling. Methods Ecol. Evol.35364
- 49. De Barro PJ, Maelzer DA (1993) Influence of high temperatures on the survival of Rhopalosiphum padi (L) (Hemiptera, Aphididae) in irrigated perennial grass pastures in South Australia. Aust. J. Zool. 41: 123–132.PJ De BarroDA Maelzer1993Influence of high temperatures on the survival of Rhopalosiphum padi (L) (Hemiptera, Aphididae) in irrigated perennial grass pastures in South Australia. Aust. J. Zool.41123132
- 50. Peccoud J, Figueroa CC, Silva AX, Ramirez CC, Mieuzet L, et al. (2008) Host range expansion of an introduced insect pest through multiple colonizations of specialized clones. Mol. Ecol. 17: 4608–4618.J. PeccoudCC FigueroaAX SilvaCC RamirezL. Mieuzet2008Host range expansion of an introduced insect pest through multiple colonizations of specialized clones. Mol. Ecol.1746084618
- 51. Vitou J, Edwards O (2009) Diuraphis noxia (Mordvilko) overwintering strategy can affect its performance on resistant and susceptible wheat. Redia 92: 237–238.J. VitouO. Edwards2009Diuraphis noxia (Mordvilko) overwintering strategy can affect its performance on resistant and susceptible wheat.Redia92237238
- 52. Harrington R (2003) Turning up the heat on pests and diseases: a case study for Barley yellow dwarf virus, Glasgow, UK. The British Crop Protection Council. pp. 1195–1200.R. Harrington2003Turning up the heat on pests and diseases: a case study for Barley yellow dwarf virus, Glasgow, UK.The British Crop Protection Council11951200
- 53. Zalucki MP, Furlong MJ (2005) Forecasting Helicoverpa populations in Australia: A comparison of regression based models and a bio-climatic based modelling approach. Insect Sci. 12: 45–56.MP ZaluckiMJ Furlong2005Forecasting Helicoverpa populations in Australia: A comparison of regression based models and a bio-climatic based modelling approach. Insect Sci.124556
- 54. Yanow T, Sutherst RW (1998) The geographical distribution of the Queensland fruit fly, Bactrocera (Dacus) tryoni, in relation to climate. Aust. J. Agric. Res. 49: 935–953.T. YanowRW Sutherst1998The geographical distribution of the Queensland fruit fly, Bactrocera (Dacus) tryoni, in relation to climate. Aust. J. Agric. Res.49935953
- 55. Yanow T, Zalucki MP, Sutherst RW, Dominiak B, Maywald GF, et al. (2004) Modelling the population dynamics of the Queensland Fruit Fly, Bactrocera (Dacus) tryoni: a cohort-based approach incorporating the effects of weather. Ecol. Modell. 173: 9–30.T. YanowMP ZaluckiRW SutherstB. DominiakGF Maywald2004Modelling the population dynamics of the Queensland Fruit Fly, Bactrocera (Dacus) tryoni: a cohort-based approach incorporating the effects of weather. Ecol. Modell.173930
- 56. Pinol J, Espadaler X, Perez N, Beven K (2009) Testing a new model of aphid abundance with sedentary and non-sedentary predators. Ecol. Modell. 220: 2469–2480.J. PinolX. EspadalerN. PerezK. Beven2009Testing a new model of aphid abundance with sedentary and non-sedentary predators. Ecol. Modell.22024692480
- 57. Hartley S, Krushelnycky PD, Lester PJ (2010) Integrating physiology, population dynamics and climate to make multi-scale predictions for the spread of an invasive insect: the Argentine ant at Haleakala National Park, Hawaii. Ecography 33: 83–94.S. HartleyPD KrushelnyckyPJ Lester2010Integrating physiology, population dynamics and climate to make multi-scale predictions for the spread of an invasive insect: the Argentine ant at Haleakala National Park, Hawaii.Ecography338394