Supporting information Table S1. The native and invasive ranges of 10 study aquatic plant invaders

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Supporting information Table S1. The native and invasive ranges of 10 study aquatic plant invaders Name Family Native ranges Invasive ranges Alternanthera philoxeroides Amaranthaceae Argentina, Bolivia, Brazil, Paraguay, Peru, Venezuela Australia, China, France, Indonesia, Italy, New Zealand, United States Ceratophyllum demersum Ceratophyllaceae United Kingdom, United States Burkina Faso, China, Finland, New Zealand, Norway, Sweden Crassula helmsii Crassulaceae Australia Belgium, Denmark, France, Germany, Ireland, Netherlands, United Kingdom Elodea canadensis Hydrocharitaceae United States Australia, Austria, Denmark, Finland, France, Germany, Mexico, New Zealand, Norway, Poland, Portugal, Russia, South Africa, Spain, Sweden, Switzerland Hydrilla verticillata Hydrocharitaceae India, South Korea New Zealand, United States Ludwigia peruviana Onagraceae Argentina, Belize, Bolivia, Brazil, Colombia, Costa Rica, Cuba, Ecuador, El Salvador, Guatemala, Honduras, Jamaica, Mexico, Nicaragua, Panama, Paraguay, Peru, Venezuela Najas minor Hydrocharitaceae Austria, Belgium, France, Germany, India, Italy, Japan, Poland, Portugal, Russia, Ukraine Pistia stratiotes Araceae Argentina, Bolivia, Brazil, Colombia, Ecuador, Paraguay, Peru, Suriname, Venezuela, Australia, Dominican Republic, Indonesia, Puerto Rico, United States Canada, United States Australia, Burkina Faso, Papua New Guinea, Puerto Rico, United States Potamogeton crispus Potamogetonaceae Australia, Colombia Canada, New Zealand, United States Sagittaria platyphylla Alismataceae Mexico, Panama, United States Australia, Georgia, New Zealand

Table S2. Summary of bioclimatic variables that were used as bioclimatic layers of Maxent modeling Code Environmental variables Unit Bio1 Annual mean temperature C Bio2 Mean diurnal range C Bio4 Temperature seasonality SD*100 Bio8 Mean temperature of the wettest quarter C Bio12 Annual precipitation mm Bio14 Precipitation of the driest month mm Bio15 Precipitation seasonality CV* Bio18 Precipitation of the warmest quarter mm *CV represents coefficient of variation; SD represents standard deviation.

Table S3. The training omission rate for all 10 aquatic plant invaders. Species 1 2 3 4 5 6 7 8 Alternanthera philoxeroides Ceratophyllum demersum Native 0.052 0.052 0.052 0.086 0.052 0.052 0.052 0.052 Invasive 0.040 0.040 0.060 0.096 0.050 0.050 0.040 0.050 Native 0.019 0.025 0.077 0.100 0.070 0.019 0.019 0.019 Invasive 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.115 Crassula helmsii Native 0.048 0.048 0.063 0.099 0.051 0.051 0.048 0.048 Invasive 0.020 0.044 0.092 0.100 0.076 0.021 0.020 0.020 Elodea canadensis Native 0.000 0.028 0.049 0.098 0.045 0.028 0.000 0.028 Invasive 0.000 0.034 0.074 0.100 0.083 0.037 0.000 0.025 Hydrilla verticillata Native 0.000 0.016 0.047 0.094 0.016 0.016 0.000 0.016 Ludwigia peruviana Invasive 0.010 0.010 0.039 0.098 0.020 0.010 0.000 0.010 Native 0.003 0.020 0.048 0.098 0.048 0.003 0.000 0.020 Invasive 0.031 0.031 0.063 0.094 0.031 0.031 0.031 0.047 Najas minor Native 0.004 0.030 0.068 0.098 0.030 0.008 0.004 0.008 Invasive 0.000 0.019 0.066 0.094 0.019 0.000 0.000 0.019 Pistia stratiotes Native 0.000 0.028 0.047 0.094 0.028 0.009 0.000 0.028 Potamogeton crispus Sagittaria platyphylla Invasive 0.037 0.043 0.056 0.099 0.049 0.043 0.037 0.043 Native 0.000 0.027 0.079 0.098 0.041 0.022 0.000 0.019 Invasive 0.000 0.029 0.060 0.098 0.044 0.029 0.000 0.025 Native 0.012 0.025 0.037 0.099 0.025 0.012 0.012 0.025 Invasive 0.000 0.019 0.047 0.094 0.019 0.019 0.000 0.019 Mean 0.014 0.028 0.056 0.092 0.040 0.023 0.013 0.032 SD 0.018 0.013 0.019 0.021 0.021 0.016 0.018 0.023 1: Fixed cumulative value 1 training omission; 2: Fixed cumulative value 5 training omission; 3: Fixed cumulative value 10 training omission; 4: 10 percentile training presence training omission; 5: Equal training sensitivity and specificity training omission; 6: Maximum training sensitivity plus specificity training omission; 7: Balance training omission, predicted area and threshold value training omission; 8: Equate entropy of thresholded and original distributions training omission; SD represents standard deviation.

Table S4. Climatic niche overlap of all 10 aquatic plant invaders between native and invasive models across 12 freshwater biomes on the global scale. Species 1 2 3 4 5 6 7 8 9 10 11 12 Alternanthera philoxeroides D 0.554 0.621 0.294 0.780 0.947 0.596 0.534 0.464 0.606 0.604 0.700 0.561 I 0.861 0.886 0.647 0.950 0.989 0.853 0.829 0.790 0.841 0.873 0.933 0.837 Ceratophyllum demersum D 0.579 1.000 0.307 0.731 0.603 0.443 0.441 0.568 0.399 0.693 0.847 0.321 I 0.851 1.000 0.622 0.933 0.853 0.767 0.753 0.836 0.750 0.901 0.969 0.660 Crassula helmsii D 1.000 1.000 1.000 1.000 0.790 0.463 0.353 1.000 0.445 1.000 1.000 0.397 I 1.000 1.000 1.000 1.000 0.929 0.764 0.655 1.000 0.787 1.000 1.000 0.763 Elodea canadensis D 0.593 1.000 0.708 0.498 0.318 0.565 0.434 0.631 0.715 1.000 0.937 0.502 I 0.815 1.000 0.927 0.825 0.625 0.840 0.745 0.858 0.932 1.000 0.995 0.824 Hydrilla verticillata D 0.639 1.000 0.188 0.301 0.663 0.312 0.356 0.485 0.659 0.467 0.548 0.428 I 0.893 1.000 0.528 0.558 0.892 0.621 0.710 0.811 0.872 0.757 0.844 0.727 Ludwigia peruviana D 0.543 0.488 0.483 0.486 0.603 0.500 0.537 0.779 0.427 0.575 0.405 0.262 I 0.819 0.772 0.774 0.774 0.850 0.790 0.796 0.950 0.724 0.840 0.700 0.567 Najas minor D 0.595 1.000 0.530 0.527 0.445 0.178 0.144 0.385 0.351 0.454 0.546 0.502 I 0.844 1.000 0.827 0.832 0.743 0.473 0.416 0.658 0.664 0.782 0.846 0.793 Pistia stratiotes D 0.242 0.708 0.542 0.633 0.776 0.555 0.514 0.663 0.618 0.710 0.667 0.527 I 0.578 0.925 0.829 0.878 0.876 0.816 0.820 0.913 0.879 0.933 0.919 0.791 Potamogeton crispus D 0.466 1.000 0.817 0.794 0.568 0.464 0.382 0.691 0.689 0.858 0.746 0.536 I 0.757 1.000 0.976 0.972 0.852 0.775 0.704 0.901 0.914 0.985 0.957 0.792 Sagittaria platyphylla D 0.731 1.000 0.866 0.572 0.733 0.310 0.226 0.735 0.430 1.000 0.780 0.241 I 0.933 1.000 0.971 0.858 0.936 0.633 0.551 0.918 0.736 1.000 0.969 0.544 D represents Schoener s D for APIs between native and invasive models on both native and invasive ranges; I represents the measure derived from Hellinger distance called I based on both the native and invasive ranges.

Table S5. Numerical data of climatic suitability for all 10 aquatic plant invaders in the native ranges based on freshwater biomes Species 1 2 3 4 5 6 7 8 9 10 11 12 Alternanthera philoxeroides C Native 0.227 0.071 0.103 0.000 0.000 0.150 0.408 0.000 0.232 0.176 0.175 0.020 C Invasive 0.050 0.049 0.033 0.000 0.000 0.166 0.318 0.000 0.092 0.079 0.085 0.055 Ceratophyllum demersum C Native 0.494 0.000 0.000 0.466 0.178 0.428 0.503 0.488 0.366 0.000 0.000 0.444 C Invasive 0.123 0.000 0.000 0.432 0.090 0.102 0.071 0.036 0.034 0.000 0.000 0.041 Crassula helmsii C Native 0.000 0.000 0.000 0.000 0.000 0.566 0.276 0.000 0.106 0.000 0.000 0.069 C Invasive 0.000 0.000 0.000 0.000 0.000 0.080 0.010 0.000 0.010 0.000 0.000 0.004 Elodea canadensis C Native 0.396 0.000 0.000 0.062 0.015 0.335 0.436 0.420 0.078 0.000 0.000 0.298 C Invasive 0.143 0.000 0.000 0.531 0.020 0.154 0.087 0.100 0.199 0.000 0.000 0.043 Hydrilla verticillata C Native 0.000 0.000 0.003 0.010 0.000 0.583 0.000 0.000 0.018 0.082 0.157 0.000 C Invasive 0.000 0.000 0.044 0.081 0.000 0.180 0.000 0.000 0.092 0.045 0.071 0.000 Ludwigia peruviana C Native 0.298 0.146 0.282 0.387 0.000 0.067 0.164 0.001 0.350 0.238 0.344 0.087 C Invasive 0.140 0.041 0.083 0.473 0.000 0.119 0.219 0.000 0.124 0.091 0.109 0.004 Najas minor C Native 0.001 0.000 0.029 0.052 0.001 0.089 0.097 0.000 0.017 0.007 0.019 0.000 C Invasive 0.001 0.000 0.022 0.006 0.000 0.030 0.012 0.002 0.005 0.009 0.024 0.001 Pistia stratiotes C Native 0.392 0.219 0.190 0.739 0.000 0.063 0.260 0.000 0.385 0.392 0.344 0.042 C Invasive 0.124 0.066 0.093 0.228 0.000 0.160 0.418 0.000 0.203 0.206 0.177 0.125 Potamogeton crispus C Native 0.205 0.000 0.095 0.000 0.000 0.491 0.521 0.000 0.385 0.085 0.161 0.276 C Invasive 0.088 0.000 0.077 0.000 0.000 0.465 0.284 0.000 0.099 0.069 0.092 0.157 Sagittaria platyphylla C Native 0.028 0.000 0.000 0.096 0.001 0.169 0.141 0.108 0.168 0.000 0.190 0.022 C Invasive 0.007 0.000 0.000 0.299 0.004 0.033 0.020 0.010 0.099 0.000 0.164 0.006 1: large lakes; 2: large river deltas; 3: montane freshwaters; 4: oceanic islands; 5: polar freshwaters; 6: temperate coastal rivers; 7: temperate floodplain rivers and wetlands; 8: temperate upland rivers; 9: tropical and subtropical coastal rivers; 10: tropical and subtropical floodplain rivers and wetland complexes; 11: tropical and subtropical upland rivers; 12: xeric freshwaters and endorheic (closed) basins. C Native and C Invasive represent the climatic suitability based on native and invasive models. Other codes were the same as Fig. 1.

Table S6. Numerical data of climatic suitability for all 10 aquatic plant invaders in the invasive ranges based on freshwater biomes Species 1 2 3 4 5 6 7 8 9 10 11 12 Alternanthera philoxeroides C Native 0.001 0.000 0.002 0.195 0.003 0.075 0.035 0.005 0.147 0.119 0.025 0.007 C Invasive 0.004 0.000 0.021 0.080 0.003 0.213 0.106 0.053 0.181 0.230 0.055 0.051 Ceratophyllum demersum C Native 0.175 0.000 0.112 0.000 0.172 0.427 0.113 0.153 0.108 0.076 0.080 0.000 C Invasive 0.596 0.000 0.049 0.000 0.428 0.387 0.028 0.008 0.132 0.266 0.190 0.000 Crassula helmsii C Native 0.000 0.000 0.000 0.000 0.027 0.256 0.134 0.000 0.000 0.000 0.000 0.000 C Invasive 0.000 0.000 0.000 0.000 0.404 0.321 0.337 0.000 0.000 0.000 0.000 0.000 Elodea canadensis C Native 0.037 0.000 0.210 0.006 0.018 0.168 0.119 0.057 0.055 0.000 0.080 0.044 C Invasive 0.111 0.000 0.169 0.450 0.025 0.256 0.237 0.046 0.131 0.000 0.258 0.048 Hydrilla verticillata C Native 0.026 0.000 0.000 0.002 0.011 0.014 0.034 0.026 0.048 0.000 0.000 0.008 C Invasive 0.050 0.000 0.000 0.424 0.013 0.278 0.161 0.169 0.485 0.000 0.000 0.130 Ludwigia peruviana C Native 0.010 0.000 0.391 0.356 0.003 0.046 0.014 0.009 0.187 0.219 0.390 0.008 C Invasive 0.012 0.000 0.032 0.126 0.011 0.082 0.052 0.023 0.124 0.061 0.009 0.002 Najas minor C Native 0.004 0.000 0.000 0.099 0.001 0.006 0.006 0.005 0.020 0.000 0.000 0.006 C Invasive 0.067 0.000 0.000 0.016 0.000 0.063 0.134 0.142 0.134 0.000 0.000 0.011 Pistia stratiotes C Native 0.005 0.000 0.147 0.278 0.003 0.043 0.021 0.008 0.229 0.113 0.233 0.010 C Invasive 0.123 0.000 0.162 0.217 0.015 0.239 0.169 0.160 0.390 0.334 0.418 0.113 Potamogeton crispus C Native 0.004 0.000 0.000 0.236 0.001 0.030 0.017 0.009 0.414 0.000 0.000 0.020 C Invasive 0.194 0.000 0.000 0.196 0.006 0.142 0.232 0.268 0.144 0.000 0.000 0.283 Sagittaria platyphylla C Native 0.000 0.000 0.017 0.000 0.000 0.082 0.022 0.000 0.069 0.000 0.000 0.010 C Invasive 0.000 0.000 0.023 0.000 0.000 0.316 0.156 0.000 0.113 0.000 0.000 0.026 1: large lakes; 2: large river deltas; 3: montane freshwaters; 4: oceanic islands; 5: polar freshwaters; 6: temperate coastal rivers; 7: temperate floodplain rivers and wetlands; 8: temperate upland rivers; 9: tropical and subtropical coastal rivers; 10: tropical and subtropical floodplain rivers and wetland complexes; 11: tropical and subtropical upland rivers; 12: xeric freshwaters and endorheic (closed) basins. C Native and C Invasive represent the climatic suitability based on native and invasive models. Other codes were the same as Fig. 1.

Fig. S1. The climatic suitability maps based on native and invasive models for Alternanthera philoxeroides (a, b); Ceratophyllum demersum (c, d); Crassula helmsii (e, f); Elodea Canadensis (g, h); Hydrilla verticillata (i, j); Ludwigia peruviana (k; l); Pistia stratiotes (m, n); Potamogeton crispus (o, p); Sagittaria platyphylla (q, r).