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Biodivers Conserv DOI 10.1007/s10531-007-9287-y ORIGINAL PAPER Predicting range expansion of the map butterfly in Northern Europe using bioclimatic models Varpu Mitikka Æ Risto K. Heikkinen Æ Miska Luoto Æ Miguel B. Araújo Æ Kimmo Saarinen Æ Juha Pöyry Æ Stefan Fronzek Received: 22 March 2007 / Accepted: 24 October 2007 Ó Springer Science+Business Media B.V. 2007 Abstract The two main goals of this study are: (i) to examine the range shifts of a currently northwards expanding species, the map butterfly (Araschnia levana), in relation to annual variation in weather, and (ii) to test the capability of a bioclimatic envelope model, based on broad-scale European distribution data, to predict recent distributional changes (2000–2004) of the species in Finland. A significant relationship between annual maximum dispersal distance of the species and late summer temperature was detected. This suggests that the map butterfly has dispersed more actively in warmer rather than cooler summers, the most notable dispersal events being promoted by periods of exceptionally warm weather and southerly winds. The accuracy of the broad-scale bioclimatic model built for the species with European data using Generalized Additive Models (GAM) was good based on split-sample evaluation for a single period. However, the model’s performance was poor when applied to predict range shifts in Finland. Among the many potential explanations for the poor success of the transferred bioclimatic model, is the fact V. Mitikka R. K. Heikkinen (&) J. Pöyry Research Department, Research Programme for Biodiversity, Finnish Environment Institute, P.O. Box 140, 00251 Helsinki, Finland e-mail: [email protected] V. Mitikka Metapopulation Research Group, Department of Biological and Environmental Sciences, University of Helsinki, P.O. Box 65, 00014 Helsinki, Finland M. Luoto Thule Institute, University of Oulu, P.O. Box 7300, 90014 Oulu, Finland M. B. Araújo Department of Biodiversity and Evolutionary Biology, National Museum of Natural Sciences, CSIC, C/ José Gutiérrez Abascal 2, 28006 Madrid, Spain K. Saarinen South Karelia Allergy and Environment Institute, 55330 Tiuruniemi, Finland S. Fronzek Research Department, Research Programme for Global Change, Finnish Environment Institute, P.O. Box 40, 00251 Helsinki, Finland 123 Biodivers Conserv that bioclimatic envelope models do not generally account for species dispersal. This and other uncertainties support the view that bioclimatic models should be applied with caution when they are used to project future range shifts of species. Keywords Bioclimatic envelope model Climate change Dispersal jump Model accuracy Range shift Species distribution modelling Abbreviations AUC Area under curve of a receiver operating characteristic (ROC) plot GAM Generalized additive models Introduction Recent studies suggest that many habitats and species are already being affected by climate change (Parmesan et al. 1999; Walther et al. 2002; Parmesan and Yohe 2003; Parmesan 2006) and that future projected climate change is expected to cause further range shifts of species (Berry et al. 2002; Midgley et al. 2003; Thomas et al. 2004; Thuiller et al. 2005). In northern Europe, species are generally predicted to move northwards to track the changing climate (Bakkenes et al. 2002; Hill et al. 2002, 2003; Skov and Svenning 2004). Bioclimatic envelope models have an important role in the assessments of the potential magnitude and broad patterns of climate change impacts on species distribution (Gitay et al. 2001; Beaumont and Hughes 2002; Midgley et al. 2002; Pearson and Dawson 2003; Araújo et al. 2005a). These techniques correlate current distributions of species with climate variables to then derive a species’ climate envelope, which enables future potential distributions to be estimated (Bakkenes et al. 2002; Berry et al. 2002; Pearson and Dawson 2003; Thuiller 2003). A fundamental assumption of bioclimatic envelope models is that a spatial correlation of species distribution vs. climate can be applied to infer spatial shifts in distribution over time, as the climate changes. The approach is thus based on a realised species distribution rather than its potential distribution, which may cause uncertainty in the projections of species future ranges. The usefulness of bioclimatic models has recently been questioned on the grounds that several sources of uncertainty can significantly decrease the accuracy of their predictions. Sources of uncertainty range from choice of the modelling technique to effects of land cover and biotic interactions on species distributions, and impacts of scale and species characteristics on the model performance (Hill et al. 1999; Kadmon et al. 2003; Hampe 2004; Thuiller et al. 2004; Luoto et al. 2005, 2007; Heikkinen et al. 2006; Pearson et al. 2006). Recently, some progress has been made in order to take these uncertainty sources into account (e.g. Pearson et al. 2004; Lawler et al. 2006; Midgley et al. 2006; Araújo and New 2007). However, understanding of the capabilities of bioclimatic models for providing reliable range shift projections in real-life situations is still limited (Araújo and Guisan 2006; Araújo and Rahbek 2006; Barry and Elith 2006). Improvements in understanding are essential if models are to be used for assessing climate change impacts on biodiversity and for implementing conservation planning strategies under climate change (Araújo et al. 2005c). This is one of the core elements of the Integrated Project ALARM, which has the particular objective to test methods of risk assessment for biodiversity 123 Biodivers Conserv (Settele et al. 2005). This will be done under different scenarios of future global change, which include effects of climate and land use changes as well as socio-economic drivers behind them (Spangenberg 2007). We focus here on three critical issues that have been insufficiently studied in the field of bioclimatic envelope modelling. First, model validation has generally been conducted using either a resubstitution approach (the data used to calibrate the model are also used to validate it) or split-sample approach (i.e. dividing the species–environment data randomly into two subsets, for model calibration and model evaluation (for a review see Araújo et al. 2005a). Both of these approaches are likely to yield overly optimistic estimates of the model performance in new areas and time periods. Indeed there are very few instances where bioclimatic models have been tested with independent data, i.e. calibrating the model with data collected at one point in time and validating the model using data recorded at another point in time (see also Hill et al. 1999; Araújo et al. 2005a). Second, very few studies have performed downscaling of the projections of broad-scale bioclimatic models to finer spatial resolutions and evaluated the accuracy of the regional predictions of species distributions (Pearson et al. 2002, 2004; Araújo et al. 2005b; McPherson et al. 2006), even though finer spatial scales would be better suited for the purposes of conservation planning. Third, none of the studies that validated model projections using independent data, have, to our knowledge, investigated the possible reasons for the success or failure of models in predicting the distributions of species in different periods of time. Gathering such information from empirical studies is important because it increases understanding of the limitations of bioclimatic models. Here we use the European map butterfly (Araschnia levana) as a model system to examine and model current range shifts. Being a mobile species, not in need of any particularly rare habitat and with a host-plant widely distributed throughout Europe, this butterfly species is well-suited for studying potential range shifts under climate change. We develop a bioclimatic envelope model for the butterfly using broad-scale European distribution and climate data from the period 1961 to 1995, and validate the model, first, with a subset of the European data, and then with current species’ distribution and climate data from Finland (2000–2004). Specifically, we addressed the following questions: (i) How well does the bioclimatic envelope model perform when using a truly independent evaluation data collected at a different resolution and time period? (ii) How suited is the bioclimatic envelope modelling approach for predicting the observed range expansion of map butterfly in Finland? (iii) If the validation results from the European model and downscaled model largely disagree, what might the key reasons behind this discrepancy be? In addition to these questions we document the history of expansion of the map butterfly in Finland in relation to the selected climate variables. For mobile generalist species that are more likely to respond rapidly to changes in climate, such as the map butterfly (cf. Thomas et al. 2001), strongest periods of range expansion may be associated with one or two climatically extreme years rather than the mean climate values averaged often over several years or decades. Therefore we examine whether the years in which the butterfly has more strongly expanded its range are climatically different from other years, and whether these potential annual differences in range expansion rate are likely to hamper the attempts to predict the species response to the changing climate. 123 Biodivers Conserv Materials and methods Study species The European map butterfly (Araschnia levana) has a Palaearctic distribution extending from Europe to the Russian Far East and Japan (Reinhardt 1972; Kudrna 2002). The range boundaries in Western Europe reach the Atlantic coast in France, Netherlands and Denmark, and in Southern Europe in Spain and northern Greece. The species has actively expanded its range during the twentieth century, especially during recent decades where both westward and northward expansions have been recorded (Parmesan 2005). In Finland, the map butterfly was observed for the first time in 1973 and a rapid northward expansion has been occurring since the 1980s. The map butterfly is a nymphalid species that has two distinct and seasonally polymorphic generations per summer (Reinhardt 1972; Fric and Konvicka 2002). The first (spring) generation is orange with black markings, whereas the second generation (f. prorsa) is black and white. In central Europe an additional third generation in late summer is common (Reinhardt 1972; Marttila et al. 1990). In Finland, the second generation has been regularly observed from 1999 onwards, coinciding with recent warm summers. The map butterfly favours semi-open and predominantly moist habitats, like meadows along riverbanks, pastures surrounded by forest and forest openings (Marttila et al. 1990). The larval host plant is common nettle (Urtica dioica). Both suitable habitats and host plants are commonly found all over the European distribution range. The species is mobile and a rather fast flier, and thus regarded as a relatively good disperser (Marttila et al. 1990; Fric and Konvicka 2000, 2002; Komonen et al. 2004). The study area Two different geographical windows were used in this study. First we applied a 0.5°91° resolution latitude-longitude grid extending from SW to NE across Europe from 35.5°N, 10.0°W to 71.5°N, 40.0°E, which was used to calibrate the broad-scale butterfly-climate model. The mean annual temperature (based on grid box averages assuming mean altitude) in this window for the period of 1961–1995 varies from ca. -6°C in the Fennoscandian mountains to ca. 19°C in parts of the Mediterranean, and the mean annual precipitation from ca. 250 mm in Mediterranean regions of Spain and Turkey to ca. 2800–2900 mm in Scotland and on the western coast of Norway. Second, we used a 10 9 10 km2 resolution gridded national window for Finland, extending from 59.5°N, 19.5°E to 70.5°N, 32.0°E. This window was used to evaluate the downscaled model projections for the butterfly. Finland’s climate becomes more continental away from the coasts and eastwards (Tuhkanen 1984), and rainfall and temperature decrease from the southwestern hemiboreal zone (mean annual temperature ca. 5°C and mean annual precipitation 600–700 mm during 1961–1995) to the subarctic region in northernmost Finland (-2°C and 400 mm, respectively). Species distribution data The distribution data of the map butterfly for the European window was mainly extracted from Kudrna (2002). The species was recorded as present in each of the 2298 0.5°N 9 1°E 123 Biodivers Conserv grid cells in which it had been recorded after 1950, and the records made exclusively earlier than that were omitted (Kudrna 2002). However, because the distribution data for the species were rather sparse in the eastern Europe, we supplemented the data with distribution notes from the literature and information from specialists for the following areas: Estonia (Kesküla 1992; Tammaru, pers. comm. 2005), Russian Karelia (Gorbach, pers.comm. 2005; Humala, pers.comm. 2005), the St Petersburg region (Ivanov 1999), Belarus (Dovgailo et al. 2003), and Ukraine (Popov 2005). For documentation on the expansion history and the records of species distribution in Finland, we used data from the National Butterfly Recording Scheme in Finland (NAFI) for 1991–2004. The NAFI data is collected using a 10 9 10 km2 grid system from voluntary amateur and professional lepidopterists every year based on a uniform questionnaire for the whole country (Saarinen et al. 2003). The recording intensity (number of recording days per grid square) is included for the NAFI data (Saarinen 2003). The NAFI data were complemented with observations collected by the Finnish Lepidopterological Society and inquiries to individual lepidopterists, in order to gather as detailed an understanding of the annual range shifts of the butterfly as possible. Climatological data Mean monthly temperature and monthly precipitation for the European study area was extracted from the Climatic Research Unit (CRU) grid-based, interpolated climatological data set (New et al. 2002; Mitchell et al. 2003). Averages for the time period 1961–1995 were linearly interpolated from the original 0.5° 9 0.5° spatial resolution to the grid cell size of the butterfly distribution data, 0.5° latitude 9 1° longitude. Interpolated mean monthly climatological data (temperature and precipitation) for Finland, including data for all individual years between 1973 and 2004 and data averaged for the period 2000–2004, were provided by the Finnish Meteorological Institute on a uniform 10 9 10 km2 grid system matching the national distribution data for the butterfly (Venäläinen and Heikinheimo 2002). The procedures adopted for climate envelope modelling followed Hill et al. (2003) and Luoto et al. (2006), focusing on three climate variables (Table 1) known to be important determinants of the distributions of European butterflies: mean temperature of the coldest month (MTCO), growing degree days above 5°C (GDD) and water balance (WB). MTCO is related to the overwintering survival, GDD is regarded as a surrogate for the developmental threshold of the larvae, and WB corresponds to the moisture availability for the larval host and adult nectar plants (Hill et al. 2003). GDD values were calculated as the accumulated sum of daily mean temperatures above 5°C (see Luoto et al. 2004). The water balance (WB) was calculated as the annual sum of the monthly differences between precipitation and potential evapotranspiration following Holdridge (1967) and Skov and Svenning (2004). An additional climate variable, which was used in studying the relationships between climate and the expansion history of the butterfly in Finland, was the mean temperature of late summer, i.e. July and August (TMPJA; Table 1). Expansion history in Finland and climate The expansion history of the map butterfly in Finland was examined as annual changes in the distribution from 1983 to 2004. The measures of expansion used were: (i) maximum 123 Biodivers Conserv Table 1 Climate variables used in bioclimatic envelope modelling for the map butterfly and in analysing relationships between the annual variation in climate and expansion activity of the species Variable Abbreviation Definition Mean temperature of the coldest month MTCO The lowest value of the monthly mean temperature in one year Growing degree days above 5°C GDD Water balance WB WB ¼ 12 P ðPi PETÞ where, Pi = mean i¼1 precipitation in month i PETi = mean potential evapotranspiration in month i = (58.939Ti)/12[if Ti [ 0°C, else PETi = 0] where, Ti = mean temperature in month i Mean temperature of the summer months July and August TMPJA The average of summed monthly mean temperatures of July and August Abbreviations are those referred to in the text. The source of the expression for PET = Skov and Svenning (2004) annual dispersal distance, (ii) annual average northward distribution shift, (iii) number of newly occupied grid cells in each year, and (iv) cumulative number of occupied grid cells in each year. The maximum annual dispersal distance was measured as the distance from grid cells occupied in the preceding years to the newly occupied 10 9 10 km2 grid cell lying furthest away from these. The relationship between the maximum dispersal distance and the climate of the corresponding year was analysed using the distribution records and climate data for the overall area in which the species had been observed between 1973 and 2004. Similar analyses of the relationship between the maximum dispersal distance and the climate were also conducted separately for data from two spatially distinct subpopulations in Finland, one located in eastern Finland, and the other on the southern coast (Fig. 1c). Next, we examined the average northward shift of the map butterfly. This was done only separately for the eastern subregion and southern coastal subpopulation, because there a) b) c) Fig. 1 Snapshots during the expansion of the map butterfly (Araschnia levana) in Finland in: (a) 1987, (b) 1995 and (c) 2002. Each black dot represents an occupied 10 9 10 km2 grid cell 123 Biodivers Conserv were clear differences in the timing of the more active expansion periods in the two subpopulations. The annual average northward distribution shift in the two sub-regions was calculated as the average latitude of the 10 northernmost occupied grid cells in each year. The influence of the climatically warmer years on the rate of expansion was studied firstly, by relating the maximum dispersal distance and the annual average northward distribution shift to two climatic variables (TMPJA and GDD; Table 1) using a linear regression. Secondly, we arranged the 22 years into two groups according to the annual values of the two climate variables, i.e. those having (1) higher and (2) lower than average values of TMPJA or GDD. Because we expected a priori that the butterfly range expansions would be more pronounced in favourable years, we used one-tailed t-tests (using the assumption = equal variances not assumed, i.e. the Welch’s t-test) to measure the significance between the average maximum dispersal distance and average latitude in the climatically more favourable years vs. climatically less favourable years. In the analysis of expansion rates for the two subpopulations, climate variables were based only on data from the corresponding areas. Finally, we calculated the expansion rates for the overall study area in Finland following Hill et al. (2003) separately for three time periods: (1) 1983–1991; (2) 1992–1998; and (3) 1999–2004, using the formula E = C/Hp. Here, E is the velocity of range expansion, and C is the slope of line from a regression of the square of the area occupied plotted against the years (i.e. the square root of area of the cumulative total number of 10-km grid cells containing species records in each year). Species–climate envelope modelling with GAM We used generalized additive models (GAM) for building the climate envelope for the map butterfly species. Generalized additive models are flexible data-driven non-parametric extensions of generalized linear models (Hastie and Tibshirani 1986) that allow both linear and complex additive response curves to be fitted (Wood and Augustin 2002). GAMs were performed using GRASP (Generalised Regression Analysis and Spatial Prediction) version 3.2 in S-PLUS (version 6.1 for Windows, Insightful Corp.), by applying a logistic link function for quasi-binomial error distribution (Lehmann et al. 2003). A starting model including all predictors smoothed with 4 degrees of freedom was fitted first. The variable dropping, or conversion to linear form, was then determined using Akaike’s Information Criterion (AIC) (Akaike 1974). The validation of the butterfly–climate envelope model was done in two ways. First we employed the commonly used split-sample approach (Guisan and Zimmermann 2000; Thuiller 2003; Araújo et al. 2005a). Models were calibrated using a 70% random sample (1609 grid cells of the 2298 cells) of the European distribution of the species and climate data for the years 1961–1995, then evaluated by fitting the derived model to the remaining 30% of data (689 grid cells). Second, the model calibrated at the European scale was projected onto a 10 9 10 km2 grid for Finland using climate data (Venäläinen and Heikinheimo 2002) for 2000–2004 and then evaluated with distribution data of the map butterfly collated (see Species distribution data section) for the same time period. Here, we excluded all 10 9 10 km2 grid cells with no butterfly recordings or with only one-day visit. The downscaled model was evaluated using the 829 grid cells which were visited at least twice during 2000–2004. The explanatory power of the butterfly–climate model was evaluated examining the proportion of explained deviance (D2) of the total deviance of the model (Midgley et al. 123 Biodivers Conserv 2003; Luoto et al. 2006). The predictive capability of the model was assessed by examining the AUC (area under curve) of a ROC (receiver operating characteristic) plot and the Kappa statistics (Fielding and Bell 1997). In order to determine the probability thresholds at which the predicted values for species occupancy were optimally classified as absence or presence values, we used the prevalence of the species as the cut-off probability level (Liu et al. 2005). Thus, as the prevalence of the map butterfly in the European model calibration data was 0.26, the grid cells with predicted probability of occurrence C0.26 were classified as occupied (presence) cells, and the remaining cells as unoccupied (absence) cells. Results Expansion history The first observation of the map butterfly in Finland was made in 1973, followed by 10 years without new observations until 1983, when a stable population was discovered in eastern Finland (Fig. 1). During the 1980s the distribution in eastern Finland remained fairly local with maximum annual expansion distances of about 10–20 km, and the mean rate of spread was rather low (Fig. 2a). In the 1990s the rate of spread remained about the same (Fig. 2b), and the distribution of the species moved both west- and northwards. The first observation on the southern coast of Finland was made in 1992 (Repo 1993). From 1983 to 1998 few observations of the map butterfly were recorded in Finland, with an average of 1.8 newly occupied 10 9 10 km2 grid squares being detected every year (29 new grid squares occupied in the entire period). However, in the summer of 1999 the number of grid squares occupied by the species increased notably (to 43) compared to the summer of 1998. Large numbers of map butterflies (which probably originated from the Baltic countries) were observed in mid-July 1999 and onwards (Mikkola 2000), especially Sqrt cum. occupied area (km2) 120 100 c) 80 60 40 b) a) 20 0 1985 1990 1995 2000 2005 Year Fig. 2 Expansion of the map butterfly (Araschnia levana) in Finland during 1983–2004. The expansion is illustrated as the square root (V) of the area occupied (km) as a function of time (year) and shown separately for three time periods: (a) the first years of expansion in eastern Finland, (b) expansion after 1992, when the first observation on the southern coast was made, and (c) expansion since the 1999 invasion of the southern coast. Expansion rates (E = C/p), calculated from the slopes (C) of the regression lines, for the three periods are 1.29, 1.47, and 7.50 km/year, respectively 123 Biodivers Conserv on the southern coast of Finland. According to NAFI and other lepidopterological records and Saarinen and Marttila (2000) all the observations on the south coast were of second generation individuals. From the beginning of the 2000s, expansion northwards became more pronounced with new observations being recorded at the northern edge of the species’ range (Figs. 1c, 2c). The average annual number of newly occupied grid squares between 2000 and 2004 was 16, and the cumulative number occupied increased to 124. The increased rate of range expansion starting from 1999 was also clearly detected in expansion rate comparison of the three time periods based on the approach of Hill et al. (2003). The regression coefficients (C) of the linear models for the time periods 1–3 in ascending order were: 2.28, 2.60, and 13.30. The calculated expansion rates (E) for the three periods were 1.29, 1.47, and 7.50 km/year, respectively (Fig. 2). Expansion rate and climatically extreme years The annual means of GDD and TMPJA (and their standard deviations) during the third time period used in the expansion rate comparison (1999–2004; GDD = 1112.49 ± 63.29°Cd; TMPJA = 15.21 ± 0.99°C) were higher than the mean values for the overall expansion period in Finland (1983–2004; GDD = 1021.15 ± 110.10°Cd; TMPJA = 14.16 ± 1.36° C). This observation supports the expectation that the rate of expansion of the map butterfly might be higher during warmer summers. The results of the linear regression between GDD and the maximum annual dispersal distance for the whole data set showed a statistically non-significant relationship (F = 0.60; df = 1,20; P = 0.45; R2 = 0.03), whereas the corresponding results for TMPJA revealed a significant positive relationship (F = 5.40; df = 1,20; P = 0.03; R2 = 0.17). Similarly, when time periods were grouped into warmer vs. cooler years (with respect to TMPJA), the average maximum dispersal rates were significantly higher (one-way t-test; t = -2.664; P = 0.01) in the periods with late summers warmer than average (Table 2, Fig. 3). The examination of the annual dispersal shifts in relation with GDD and TMPJA in the two subregions revealed different trends. Maximum dispersal distance and annual climate trends in the eastern region had a greater degree of positive association with range expansions (particularly in 1994, 2001, and 2003; Fig. 4a) than the population at the southern coast. The t-tests indicated that the average latitude of species’ occurrences shifted significantly more notably towards the north in the years with higher GDD than in years with lower GDD values (one-way t-test; t = -2.438; P = 0.017); the maximum dispersal distances were also higher in warmer summers than in cooler summers (Table 3). Table 2 Comparison of the annual dispersal activity of the map butterfly in Finland between years with (1) lower and (2) higher than average growing degree (GDD) and July–August temperatures (TMPJA) during 1983–2004 (1) Lower (2) Higher t P GDD 37.50 ± 15.60 47.92 ± 12.90 -0.515 0.307 TMPJA 21.25 ± 7.34 69.50 ± 16.56 -2.664 0.010 Mean (±standard error) values of annual maximum dispersal distance (km) are shown for each grouping along with the statistical significance of the differences between them based on a one-way t-test 123 Biodivers Conserv 140 Maximum dispersal distance 120 100 80 60 40 20 0 -20 1 2 Grouping of years by July-August temperature Fig. 3 The mean annual maximum dispersal distance (km) of the map butterfly in Finland in 1983–2004, by assigning the distances into two categories: years with (1) lower than average July–August temperature (in 1983–2004) vs. (2) higher than average temperature (in 1983–2004). The difference is statistically significant (one-way t-test; P = 0.01). Each box shows the median, quartiles, and extreme values within a category 160 a) 20 18 120 16 Maximum dispersal distance per year (km) 80 14 40 12 0 10 1984 1988 1992 1996 2000 2004 20 160 b) 18 120 16 80 14 40 12 0 10 1992 1994 1996 1998 Year 123 2000 2002 2004 Average July-August temperature (C) Fig. 4 Annual trends in maximum dispersal distance of the map butterfly and July– August temperature in (a) eastern Finland and (b) the southern coastal region. Circles = July– August temperature; squares = maximum dispersal distance Biodivers Conserv Table 3 Comparison of the annual maximum dispersal distance (km) and annual average northward distribution shift (mean N-coordinate of the ten northernmost grid cells; m) of the map butterfly in eastern Finland between years with (1) lower and (2) higher than average growing degree (GDD) and July–August temperatures (TMPJA) during 1983–2004 (1) Lower (2) Higher t P Maximum dispersal (km) GDD 13.89 ± 5.99 36.16 ± 11.70 -1.694 0.054 TMPJA 13.64 ± 4.53 40.46 ± 13.61 -1.870 0.043 Northwards range shift (mean N-coordinate; m) GDD 6928141 ± 1883 6947269 ± 7698 -2.413 0.015 TMPJA 6928525 ± 1123 6950363 ± 8885 -2.438 0.017 Mean (± standard error) values are shown for each grouping along with the statistical significance of the differences between them based on a one-way t-test In contrast, in the southern coastal subpopulation, the years with higher maximum dispersal jumps matched only partly with the years with warmer summers in the years 1992– 2004 (Fig. 4b). In this subregion, no significant differences were detected between the two range expansion estimates in warmer years and cooler years (Table 4). Map butterfly–climate envelope models Accuracy of the GAM model calibrated with the 70% subset of the European 1961–1995 data and evaluated with the remaining 30% of European data was good. The amount of the deviance (D2) accounted for by the three climate variables was 31%, and the AUC value from the validation data set (0.875), which is a value classified as providing good model accuracy by Swets (1988). Visual inspection of the maps of observed and predicted distributions of the map butterfly for the European window supports the quantitative assessment provided by AUC (Fig. 5). However, the performance of the butterfly–climate model was much poorer when the model based on European data was transferred to the Finnish 10 9 10 km2 climate and butterfly data for 2000–2004. Here, an AUC value of 0.630 was obtained indicating poor model accuracy (see Swets 1988). Table 4 Comparison of the annual maximum dispersal distance (km) and annual average northward distribution shift (mean N-coordinate of the ten northernmost grid cells; m) of the map butterfly in the southern coastal region of Finland between years with (1) lower and (2) higher than average growing degree (GDD) and July–August temperatures (TMPJA) during 1992–2004 (1) Lower (2) Higher t P Maximum dispersal (km) GDD 50.00 ± 21.13 31.67 ± 14.47 0.716 0.755 TMPJA 53.57 ± 18.68 22.00 ± 13.19 1.389 0.904 Northwards range shift (mean N-coordinate; m) GDD 6681881 ± 5890 6676486 ± 2220 0.857 0.791 TMPJA 6680552 ± 5271 6677533 ± 2398 0.521 0.693 Mean (± standard error) values are shown for each grouping along with the statistical significance of the differences between them based on a one-way t-test 123 Biodivers Conserv b) a) Fig. 5 Distribution of the map butterfly in Europe: (a) observed and (b) projected. Observations are for species distribution data recorded since 1950 (based on Kudrna 2002, and the supplementary sources for eastern Europe). Projections are from a bioclimatic model developed using GAM based on climate data for 1961–1995. Data are plotted on a 0.5° latitude 9 1.0° longitude grid Based on the Kappa statistics, the matching of the observed occurrences and predicted presences in the 829 grid cells in Finland in 2000–2004 can be considered moderate (Kappa = 0.51), according to a classification by Landis and Koch (1977). The maps of the observed distributions and predicted distributions for Finland show clear spatial discrepancies, most notably because the model predicted presences in many grid cells in SW Finland where the species has hitherto occurred very rarely (Fig. 6). We also tentatively fitted the European data based model into the climate data for Finland averaged over the a) b) Fig. 6 Distribution of the map butterfly in Finland in 2000–2004: (a) observed and (b) projected. Black and grey squares represent presence and absence records in the 1115 10 9 10 km2 grid cells for which observations are reliable. The projected distribution is based on the downscaled bioclimatic model calibrated using the European distribution and climate data (Fig. 5) 123 Biodivers Conserv years 1970–1979. The outcomes of this exercise suggested that the climate might already have been suitable for the map butterfly in the 1980s, but for a substantially smaller area than in 2000–2004, in essence a small coastal zone in southwestern Finland, both on the mainland and in the archipelago (results not shown). Thus a clear spatial discrepancy also occurred here, because the first observations of the species were made close to the SE border of Finland (cf. Fig. 1). Discussion Influence of annual climatic variation on expansion Our results from eastern Finland show a statistically significant relationship between annual maximum dispersal distance travelled by expanding map butterflies and temperature of the late summer. This observation supports the view that the map butterfly (and potentially other functionally similar species) has dispersed more actively in warmer rather than cooler summers. Visual inspection indicates that the average distribution limit of the species has steadily moved northwards from about 2000 onwards, especially in eastern Finland. We also found that this pattern is consistent with a similar trend in the thermal sum (GDD) and average late summer temperatures. There are additional reasons for supporting the assumption that higher summer temperatures in recent years have accelerated species expansion in northern Europe (Parmesan 2006). The ranges of many European butterflies are closely correlated with summer temperature, especially those of mobile species that have a widespread host plant (Pollard 1988; Pollard and Yates 1993). Warm summer temperatures of even some few consequent days and certain weather events, such as the occurrence of warm southerly winds, may also promote northward dispersal (Mikkola 1986). It is likely that the map butterfly has dispersed most actively in Finland during summers with short duration spells of exceptionally warm weather (even lasting only 2–3 days) in the late summer. In 1999, field observations suggested that the expansion event from Estonia (Mikkola 2000; Saarinen and Marttila 2000) was associated with warm southeasterly air currents on 14–15 July. At the same time, large numbers of other non-resident butterflies were recorded on the southern coast of Finland, including bath white (Pontia daplidice), short-tailed blue (Cupido argiades) and Palla’s fritillary (Argynnis laodice). The lack of complete annual data of such events does not allow the statistical analysis of this hypothesis. However, our results support the conclusion of Bryant et al. (2002) that annual and monthly averaged climatic variables do not reveal local, shorter-term climate variability that is likely to play an important role in driving dispersal processes. It has been suggested that in bivoltine species, overwintering as pupae, the second generation may become more common and occur further north as a consequence of warming summer temperatures (Virtanen and Neuvonen 1999). The development of second and third generations in bivoltine butterfly species is regulated by day length and temperature, and by genetic variation (Reinhardt 1972; Brakefield and Shreeve 1992). In the case of the map butterfly, it has been suggested that second generation individuals are better suited for long-distance dispersal. Fric and Konvicka (2002) found that these butterflies were bigger, had larger and less pointed wings and their thorax ratio was higher compared to first generation butterflies, facilitating an enhanced flight capacity. A mark– recapture study by the same authors indicated that the second generation individuals had higher emigration probabilities and shorter residence times than their first generation 123 Biodivers Conserv counterparts. Thus, consecutive warm summer temperatures of the recent years may partly explain the accelerated expansion of the species in Finland, where the second generation has been observed only in warm summers since 1999. Model performance in predicting distribution It has been increasingly emphasised that the evaluation of bioclimatic models requires statistically independent test data collected in other regions or times (Araújo and Guisan 2006). Yet such evaluations are rare (but see Beerling et al. 1995; Hill et al. 1999; Araújo et al. 2005a; Randin et al. 2006) and this hinders our ability to understand the true capability of models for predicting climate change impacts (Araújo and Guisan 2006). The few results available hitherto from such independent validations have yielded contrasting results. For example, Peterson (2001) reported an excellent predictive ability for 34 bird species in North America, based on species–climate models built using GARP and a set of randomly selected states of the United States, and validated using the states omitted from the model building (validation using different regions; Araújo and Guisan 2006). In contrast, the results of Araújo et al. (2005a) showed that accuracies of bioclimatic envelope models for 116 UK birds were always higher when evaluated by one-time splitsample than accuracy values derived from fitting the calibrated model to the independent data recorded ca. 15 years later than the calibration data (validation using different time periods; Araújo and Guisan 2006). This result supported concerns that predictive accuracy measured by commonly used split-sample approach may provide an over-optimistic assessment of model performance when applied into truly independent data (see also Randin et al. 2006). One of the novelties of our study was the attempt to evaluate the bioclimatic envelope model developed for the map butterfly using the European data with an independent dataset of climate and species distribution data in Finland, which differed both in terms of the resolution and time period used. Our results are largely in agreement with those of Araújo et al. (2005a). The accuracy of the model calibrated with European data and validated using split-sample approach was good. However, the performance of the model decreased drastically when it was transferred to predict the recent observed range shifts in Finland. Also the visual comparison of the predicted spatial distributions of the map butterfly for the period 2000–2004 in Finland and the recorded distribution for the same period showed that the transferred model performed rather poorly. There are several sources of uncertainty in bioclimatic envelope models (Kadmon et al. 2003; Hampe 2004; Barry and Elith 2006; Heikkinen et al. 2006), which may contribute to the poor performance of our transferred models of the map butterfly. Much attention has been paid to the variation in species range predictions based on the selection of the modelling method. Recent studies have shown significant differences in present-day predictions from different modelling techniques which may result in disturbingly dissimilar future projections (Thuiller 2004; Pearson et al. 2006; Araújo and New 2007). However, such variability in model predictions is not the most likely cause of the poor success of our transferred model. This is because a preliminary analysis using three other methods, classification and regression trees (CTA), neural network (ANN) and generalized linear models (GLM) provided overall similar projections (results not shown) to the chosen GAM model. More likely explanations of the poor performance of our transferred models might lie elsewhere. Firstly, there are data deficiencies worth considering. The known distribution of 123 Biodivers Conserv the map butterfly is sparse in north-eastern Europe, and this may generate a climatic bias in our data (corrected only by further extensive sampling from regions E-SE from Finland). Two recent studies (Kadmon et al. 2003; Thuiller et al. 2004) have shown that insufficient or biased sampling of the climate range of the species can have a significant effect on the accuracy of the bioclimatic model predictions. Second, there are issues of scale to consider. Our models were calibrated at a coarse resolution but were then evaluated independently with projections at a finer resolution. Earlier studies in boreal landscapes (Heikkinen and Birks 1996; Virkkala et al. 2005; Luoto et al. 2006) and elsewhere (Hill et al. 1999; Pearson et al. 2004; Stefanescu et al. 2004) have shown that species distributions at 10-km resolution (or finer) often reflect the interplay between habitat availability and climate. Although the map butterfly is considered to be a generalist species, the spatial distribution of the most suitable habitats—or those clearly unsuitable—may contribute to the mismatch of the predicted and observed distribution in Finland. This mismatch was particularly important in certain intensively managed agricultural landscapes in SW Finland, where the species was projected to thrive well based on the climate variables alone. A third and probably the most important reason for the failure of the transferred map butterfly model is the non-spatial nature of the projections of the bioclimatic models; they do not generally take into account dispersal barriers or other migration limitations of the species (Pearson and Dawson 2003; Hampe 2004). The fact that the species has migrated over the Baltic Sea only during very favourable weather conditions suggests that the sea constitutes an effective barrier for dispersal. In contrast, the species has been able to migrate far more easily (and was recorded first) to south-eastern and eastern parts of Finland with a land connection to populations in Russian Karelia, Belarus and Estonia. Thus, from the perspective of butterfly individuals, climatically suitable areas in SW Finland are located in a remote ‘‘peninsula’’ compared to the areas on the eastern border of Finland. Similar kinds of potential limitations to dispersal are increasingly being discussed in the bioclimatic modelling literature (Berry et al. 2002; Pearson and Dawson 2003; Peterson et al. 2004) and occasionally also integrated into the modelling (Schwartz et al. 2001; Peterson 2003; Midgley et al. 2006), but there is still a need for more research in the field. A potential alternative for modelling distributions, which accounts for the spatial dependencies of the range shifts, is the use of spatially explicit dynamic models (Collingham et al. 1996; Hill et al. 1999; Iverson et al. 2004). Detailed examination of the strengths and limitations of this approach are beyond the scope of this paper. However, the findings in our study suggest that there might also be limitations in the successful application of spatially dynamic models. The most important reason for this conclusion is that it seems that the magnitude of range shifts of mobile species varies in response to the annual variation in the weather. Moreover, under favourable weather conditions such species may be able to undertake long distance jumps in dispersal. When modelling mobile species it is critical that model’s are able to capture such events (Pearson and Dawson 2005). However, spatial dynamic models often assume that species migration proceeds as a broad moving wave, and thus may inevitably underestimate the true dispersal response of the species. Conclusions Our results indicate that mobile butterfly species have demonstrated their potential to migrate to regions that have become climatically suitable due to recent climate warming in 123 Biodivers Conserv northern Europe. Moreover, it appears that the rate of dispersal of species such as the map butterfly is not constant from year to year, but varies according to the annual variation in climate. In addition, the species appear capable of responding to exceptionally favourable short-term (warm) weather by exhibiting long-distance jumps in dispersal. Such phenomena can be hard to identify on the basis of climate information averaged over long time periods and are therefore difficult to predict accurately. The fact that bioclimatic models do not account for dispersal barriers can also severely hamper their usefulness when they are used to downscale and transfer models into independent situations. An additional factor that may cause problems, as suggested by our results, is the possible differences in the responses to climate warming of separate subpopulations, a phenomenon related to the local adaptation of the populations under the changing climate (Pearson and Dawson 2003; Thomas 2005). By and large, it seems obvious that spatially accurate predictions of the impacts of climate warming are rather difficult to achieve. Perhaps the most robust strategy for obtaining more realistic predictions of the impacts of climate change on species distributions is to use many different approaches, for example a combination of bioclimatic models, spatially dynamic models and empirical monitoring (Berry et al. 2002; Pearson and Dawson 2003). Finally, following Araújo et al. (2005a) and Heikkinen et al. (2006) we argue that more empirical evidence needs to be gathered to improve the knowledge of the usefulness and limitations of bioclimatic models and their predictions in real-life situations. Acknowledgements We thank Timothy R. Carter, Ilkka Hanski and Josef Settele for valuable comments on the manuscript. This research was funded by the EC FP6 Integrated Project ALARM (GOCE-CT-2003506675) (Settele et al. 2005) and by the Academy of Finland (project grant 116544). 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