1 1 Supplement. Assessment of landscape matrix. This assessment provides further information 2 about future land-use changes, considering the characteristics of the landscape matrix where 3 future land-use changes are projected to occur. For this, we separated between landscape 4 matrices that have low vs. high human presence. Landscape matrices with high human presence 5 are defined as 100-km2 areas with greater than 50% cover of human land-uses in 2001, whereas 6 landscape matrices with low human presence are defined as those with less than 50% cover of 7 human land uses in 2001. These results are shown in form of tables (Table 1) and maps (Figures 8 1 and 2). 9 Table 1. Extent of Future Land-use Changes in Relationship with Landscape Matrix 10 Characteristics In landscape matrix with In landscape matrix with Type of land-use change by Total area scenario <50% cover of human ≥50% cover of human land-uses (million ha) land-uses (million ha) (million ha) Business As Usual Crop abandonment 16.174 4.549 11.625 Pasture abandonment 22.509 11.578 10.931 Urban expansion 15.816 13.180 2.637 Crop expansion 14.396 11.668 2.728 Pasture expansion 11.803 9.898 1.905 Crop abandonment 29.758 6.515 23.243 Pasture abandonment 23.215 11.527 11.688 Forest Incentives 2 Urban expansion 16.342 13.597 2.745 Crop expansion 13.883 11.203 2.680 Pasture expansion 11.936 10.185 1.751 Crop abandonment 17.140 4.814 12.326 Pasture abandonment 24.302 12.292 12.010 Urban expansion 15.449 12.796 2.654 Crop expansion 9.982 8.436 1.546 Pasture expansion 7.717 6.678 1.039 Crop abandonment 16.508 4.524 11.985 Pasture abandonment 23.622 12.075 11.547 Urban expansion 6.781 5.345 1.435 Crop expansion 14.369 11.643 2.726 Pasture expansion 11.495 9.635 1.860 Crop abandonment 11.073 3.414 7.658 Pasture abandonment 18.512 9.854 8.658 Urban expansion 14.389 12.025 2.364 Crop expansion 29.887 23.432 6.455 9.136 7.734 1.402 Native Habitat Urban Containment High Crop Demand Pasture expansion 11 12 3 13 14 Figure 1: Distribution of land-use expansion versus land abandonment across the conterminous 15 U.S. within areas of high human presence, under different scenarios of future land-use change 16 (Figure 1a). The bottom figure shows the main land-use change driver of land-use expansion and 17 land abandonment respectively, calculated at the pixel level (Figure 1b). Only pixels with greater 18 than 10% cover of total land-use expansion and/or abandonment are shown. 19 4 20 21 Figure 2: Distribution of land-use expansion versus land abandonment across the conterminous 22 U.S. within areas of low human presence, under different scenarios of future land-use change 23 (Figure 2a). The bottom figure shows the main land-use change driver of land-use expansion and 24 land abandonment respectively, calculated at the pixel level (Figure 2b). Only pixels with greater 25 than 10% cover of total land-use expansion and/or abandonment are shown. 26