Supporting Information Uncertainties in the projection of species distributions related to general circulation models Eric Goberville1,2,3*, Grégory Beaugrand2,3,4, Nina-Coralie Hautekèete1, Yves Piquot1 and Christophe Luczak3,5,6 1 Université Lille 1 - Sciences et Technologies (USTL), UMR 8198 GEPV, Laboratoire de Génétique et Evolution des Populations Végétales, F-59655 Villeneuve d'Ascq, FR 2 Université Lille 1 - Sciences et Technologies (USTL), UMR 8187 LOG, Laboratoire d’Océanologie et de Géosciences, 28 Avenue Foch, F-62930 Wimereux, FR 3 CNRS, UMR 8187 LOG, Laboratoire d’Océanologie et de Géosciences, 28 Avenue Foch, F- 62930 Wimereux, FR 4 SAHFOS (Sir Alister Hardy Foundation for Ocean Science), The Laboratory, Citadel Hill, Plymouth PL1 2PB, UK 5 Université d’Artois, ESPE, Centre de Gravelines, 40 rue Victor Hugo - BP 129, 59820 Gravelines, FR 6 Université Lille Nord de France, FR * To whom correspondence should be addressed: E-mail: eric.goberville@univ-lille1.fr Submitted to Ecology and Evolution 1 Supplementary Figures and Tables Table S1. Environmental data retrieved from the WorldClim dataset. Variables are derived from the monthly temperature and rainfall values in order to generate more biologically meaningful variables. The variables represent annual trends (e.g. mean annual temperature, annual precipitation…), seasonality (as standard deviation for temperature and coefficient of variation for precipitation) and extreme or limiting environmental factors. A quarter is a period of three months (1/4 of the year). They are coded from 1 to 19 following the indications on the WorldClim website (http://www.worldclim.org/). 2 Table S2. Environmental parameters retained from the WorldClim dataset (Table S1) after application of the Escoufier procedure (See Materials and Methods). 3 Name Radiative forcing Pathway SRES scenario with similar median temperature increase by 2100 RCP2.6 Peak at ~ 3 W.m-2 before 2100 and then declines Peak and decline None RCP4.5 ~ 4.5 W.m-2 at stabilization after 2100 Stabilization without overshoot SRES B1 RCP6.0 ~ 6 W.m-2 at stabilization after 2100 Stabilization without overshoot SRES B2 decades between 2060 and 2090, and slower during other periods of the 21 century RCP8.5 > 8.5 W.m-2 in 2100 Rising SRES A1FI period between 2035 and 2080, and faster during other periods of the 21 century Particular differences (RCPs vs SRES) The ratio between temperature increase and net radiative forcing in 2100 is 0:88 C (W.m-2 ) for RCP2.6, whereas all other scenarios show a ratio of about -2 0:62 C (W.m ). RCP2.6 is closer to equilibrium in 2100 than the other scenarios Median temperature in RCP4.5 rise faster than in SRES B1 until mid-century, and slower afterwards. Median temperature in RCP6.0 rise faster than in SRES B2 during the three st Median temperatures in RCP8.5 rise slower than in SRES A1FI during the st Table S3. The four RCPs and main similarities and differences between temperature projections for SRES and RCPs. From Moss et al., (2010) and Rogelj et al., (2012). 4 Table S4. General Circulation Models (GCMs) used in this study. Detailed descriptions of the different GCMs can be found in the references cited in the Table. 5 Betula nana MDT run 1 run 2 run 3 run 4 run 5 0.273 0.269 0.277 0.273 0.274 Castanea sativa MDT run 1 run 2 run 3 run 4 run 5 0.194 0.189 0.209 0.191 0.198 AUC Mean Min Max SD 0.804 0.826 0.813 0.809 0.810 0.771 0.803 0.789 0.777 0.792 0.832 0.850 0.845 0.842 0.825 0.010 0.009 0.010 0.010 0.008 AUC Mean Min Max SD 0.885 0.875 0.861 0.895 0.865 0.857 0.846 0.838 0.861 0.836 0.905 0.887 0.885 0.909 0.887 0.008 0.011 0.009 0.008 0.011 Table S5. Minimised Difference Threshold (‘MDT’) criterion and statistical summary of AUC values from the ROC curve procedure; average (Mean), minimum (Min), maximum (Max) and standard deviation (SD) of the AUC value for each species. Five model runs were performed for each species where a different random partitioning of the occurrence data (70% for calibration and 30% for validation) was used at each time. 6 Table S6. Table of the 25 simulations distributed within the three projected trends (pessimistic, moderate and optimistic) for both species and the two periods 2010-2029 and 2080-2099. See the Methods section ‘Projections of the spatial changes in species distribution’ for details on the categories. See Table S4 for the meaning of GCMs. 7 Betula nana Castanea sativa MPI-ESM-LR RCP2.6 CCSM4 RCP2.6 GISS-E2-R RCP4.5 MPI-ESM-LR RCP4.5 CCSM4 RCP4.5 GISS-E2-R RCP6.0 IPSL-CM5A-LR RCP2.6 MPI-ESM-LR RCP2.6 CNRM-CM5 RCP4.5 GISS-E2-R RCP4.5 IPSL-CM5A-LR RCP4.5 MPI-ESM-LR RCP4.5 IPSL-CM5A-LR RCP6.0 CNRM-CM5 RCP8.5 GISS-E2-R RCP8.5 CCSM4 RCP4.5 CSIRO-Mk3.6.0 RCP6.0 GISS-E2-R RCP6.0 CCSM4 RCP6.0 CNRM-CM5 RCP8.5 CCSM4 RCP8.5 GISS-E2-R RCP2.6 IPSL-CM5A-LR RCP2.6 CSIRO-Mk3.6.0 RCP4.5 IPSL-CM5A-LR RCP4.5 MPI-ESM-LR RCP4.5 IPSL-CM5A-LR RCP6.0 CNRM-CM5 RCP8.5 IPSL-CM5A-LR RCP8.5 MPI-ESM-LR RCP8.5 IPSL-CM5A-LR RCP4.5 HadGEM2-ES RCP4.5 CSIRO-Mk3.6.0 RCP6.0 CCSM4 RCP6.0 GISS-E2-R RCP8.5 -CSIRO-Mk3.6.0 RCP2.6 GISS-E2-R RCP2.6 HadGEM2-ES RCP2.6 CCSM4 RCP2.6 CSIRO-Mk3.6.0 RCP4.5 GISS-E2-R RCP6.0 CCSM4 RCP6.0 MPI-ESM-LR RCP8.5 -- CCSM4 RCP2.6 GISS-E2-R RCP4.5 IPSL-CM5A-LR RCP4.5 CSIRO-Mk3.6.0 RCP8.5 MPI-ESM-LR RCP8.5 -CSIRO-Mk3.6.0 RCP2.6 MPI-ESM-LR RCP2.6 GISS-E2-R RCP4.5 CSIRO-Mk3.6.0 RCP6.0 GISS-E2-R RCP6.0 CCSM4 RCP6.0 GISS-E2-R RCP8.5 HadGEM2-ES RCP8.5 -- CSIRO-Mk3.6.0 RCP8.5 HadGEM2-ES RCP8.5 MPI-ESM-LR RCP8.5 CCSM4 RCP8.5 -HadGEM2-ES RCP4.5 CCSM4 RCP4.5 CSIRO-Mk3.6.0 RCP6.0 HadGEM2-ES RCP6.0 CSIRO-Mk3.6.0 RCP8.5 IPSL-CM5A-LR RCP8.5 HadGEM2-ES RCP8.5 CCSM4 RCP8.5 -- GISS-E2-R RCP8.5 IPSL-CM5A-LR RCP8.5 HadGEM2-ES RCP8.5 -HadGEM2-ES RCP2.6 CCSM4 RCP2.6 CNRM-CM5 RCP4.5 HadGEM2-ES RCP4.5 CCSM4 RCP4.5 HadGEM2-ES RCP6.0 CSIRO-Mk3.6.0 RCP8.5 CCSM4 RCP8.5 -- CSIRO-Mk3.6.0 RCP4.5 MPI-ESM-LR RCP2.6 CNRM-CM5 RCP8.5 HadGEM2-ES RCP4.5 IPSL-CM5A-LR RCP8.5 GISS-E2-R RCP2.6 HadGEM2-ES RCP2.6 MPI-ESM-LR RCP4.5 CNRM-CM5 RCP4.5 GISS-E2-R RCP2.6 HadGEM2-ES RCP6.0 HadGEM2-ES RCP2.6 HadGEM2-ES RCP6.0 CSIRO-Mk3.6.0 RCP2.6 CNRM-CM5 RCP4.5 CSIRO-Mk3.6.0 RCP4.5 IPSL-CM5A-LR RCP2.6 CSIRO-Mk3.6.0 RCP2.6 IPSL-CM5A-LR RCP6.0 IPSL-CM5A-LR RCP2.6 IPSL-CM5A-LR RCP6.0 2090s 2020s 2090s 2020s optimistic trends 2090s moderate trends 2020s pessimistic trends Figure S1. Distribution map of the occurrence of Castanea sativa in Europe from the European Forest Genetic Resources Programme (http://www.euforgen.org). 8 Figure S2. Results from the Escoufier procedure (See Materials and Methods). Environmental factors are coded from 1 to 19 following the indications on the WorldClim dataset (Table S1). 9 Figure S3. Modelled ecological niche of Betula nana assessed from NPPEN and based on four environmental factors represented by pairs. a. Precipitation of the driest quarter and Temperature annual range; b. Precipitation of the driest quarter and Annual mean temperature; c. Precipitation of the coldest quarter and Temperature annual range. The colorbar indicates the probability of occurrence of B. nana. 10 Figure S4. Modelled ecological niche of Castanea sativa assessed from NPPEN and based on five environmental factors represented by pairs. a. Annual mean precipitation and Annual mean temperature; b. Temperature seasonality and Annual mean temperature; c. Precipitation seasonality and Annual mean temperature; d. Precipitation of the warmest quarter and Annual mean temperature. The colorbar indicates the probability of occurrence of C. sativa. 11 Figure S5. Description of the ‘delta method’ procedure. GCM: General Circulation Model, tmin: temperature minimum, tmax: temperature maximum. Adapted from Ramirez & Jarvis (2010). 12 Figure S6. Variability in the probability of occurrence of a) Betula nana and b) Castanea sativa for the periods 2010-2029 and 2080-2099 and three projected species trends. A coefficient of variation was calculated for each geographical cell of our spatial domain, each trend (pessimistic, moderate and optimistic) and each time period. 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