Journal of Biogeography SUPPORTING INFORMATION Combining trade data and niche modelling improves predictions of the origin and distribution of non-native European populations of a globally invasive species Laura Cardador, Martina Carrete, Belinda Gallardo, José L. Tella APPENDIX S2 Presence-absence models, effect of sample size differences and Multivariate Environmental Similarity Surface (MESS) analysis Presence-absence models To assess the potential influence of unequal geographic birding effort in our distribution models, we conducted Maxent models using ‘real’ absences instead of Maxent’s default 10.000 background points located within 100-500 km distances from occurrence points. ‘Real’ absences consisted of surveyed locations at a maximum distance of 500 km from occurrence locations, where the species has not been detected according to eBird. These models produced predictions that were highly correlated to those derived using Maxent’s default background points (Pearson correlation coefficient, r = 0.75 for Asia and r = 0.65 for Africa), supporting the idea that observed patterns are not affected by sampling bias. However, the goodness-of-fit of models using ‘real’ absences was slightly inferior, particularly for the Asian range (AUC = 0.62, TSS = 0.20 for Asia; AUC = 0.86, TSS = 0.72 for Africa). This may be related to the lower number of absences available (n=1829 for Asia and n=1119 for Africa) compared to the 10.000 background points provided by Maxent. Our results also raise concerns about the reliability of absence information, since failing to detect a species does not guarantee that the species is absent from a given grid, particularly if this data does not come from intensive surveys (as is the case) (Brotons et al., 2004). Additionally, the absence of the species can occur in areas with conditions equal to those occupied due to other processes not considered by our models. This could constrain the obtained range nearer to the realized distribution, which may underestimate potential suitable areas (Chefaoui & Lobo, 2008). Since we were interested in providing model predictions able to reflect all the environmental suitable places in which a species can occur according to selected environmental variables we retained Maxent models based on random background selection within 100-500 km distances from occurrence points and bias grid files as final models (Phillips et al., 2009, Elith et al., 2010). Sample size differences To minimize the potential effect of sample size differences between African and Asian occurrences in model performance, we conducted Maxent models using 10 random subsamples of the Asian dataset equal to the number of occurrences available for Africa. This model predicted occurrences within the training region with high AUC (AUC = 0.94 ± 0.01) and TSS values (TSS = 0.77 ± 0.02) and produced highly concordant predictions to Maxent models using the complete data set (Pearson correlation coefficient range: 89 – 0.93). Sample size differences were thus not likely to affect our results, and thus the complete data set for the Asian range was retained for final models. MESS analyses Since model transferability can be problematic when extrapolating to areas with conditions non-analogous to those where the model was calibrated, we conducted Multivariate Environmental Similarity Surface (MESS) analysis in Maxent. MESS measures the similarity of any given pixel in the invaded range to a reference set of pixels in the calibration area with respect to the chosen predictor variables. A pixel with a positive value indicates that it falls within the range of environmental values present in the calibration area, while a pixel with a negative value indicates that at least one variable has a value that is outside of the range of environmental values present in the calibration area. Negative values close to zero could mean that the environmental conditions are only slightly different from those prevailing in the calibration area, thus we defined analogous climatic conditions with a threshold value of -20 (Mateo et al., 2014). MESS maps (Fig. S4) showed that most areas of Europe appear to have background environmental conditions within the range of that found in the Asian calibration range. In the case of Africa, while Eastern Europe does not have environmental conditions within the environmental range in Africa, most of Western Europe (e.g. Portugal, Spain, France, Netherlands, Great Britain, Germany, Southern Sweden) have. Interestingly, even in those areas (which coincide with areas predicted as suitable for Asian parakeets, see Fig. 2), African models do not predict the presence of the species. This result is likely to be related to habitat selection patterns of African parakeets. That is, although available, African parakeets do not occupied habitats similar to those found in those areas of Europe in their native range and thus models do not predict them as suitable. At least in such regions, we can be confident that differences in African and Asian predictions are not related to model extrapolation outside of calibration conditions. Figure S4. MESS maps for Maxent models calibrated in Asian and African native ranges. References Brotons, L., Thuiller, W., Araújo, M. B., & Hirzel, A. H. (2004). Presence‐absence versus presence‐only modelling methods for predicting bird habitat suitability. Ecography, 27, 437-448. Chefaoui, R.M. & Lobo, J.M. (2008) Assessing the effects of pseudo-absences on predictive distribution model performance. Ecological modelling, 210, 478-486. Elith, J., Kearney, M. & Phillips, S. (2010) The art of modelling range-shifting species. Methods in Ecology and Evolution, 1, 330–342. Mateo, R.G., Broennimann, O., Petitpierre, B., Muñoz, J., van Rooy,J., Laenen, B., Guisan, A. & Vanderpoorten, A. (2014) What is the potential of spread in invasive bryophytes? Ecography, 37, 001–008. Phillips, S. J., Dudík, M., Elith, J., Graham, C. H., Lehmann, A., Leathwick, J., & Ferrier, S. (2009). Sample selection bias and presence-only distribution models: implications for background and pseudo-absence data. Ecological Applications, 19, 181-197.
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