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Figure S1. Response curves of each species against the climate variables used in the models.

Figure S2 Projected distributions at the Last Glacial Maximum (LGM, c. 21,000 years BP) for each of the four study species a) Lagopus lagopus, b) L. mutus, c) Pyrrhocorax graculus, d) Montifringilla nivalis) using the Model for Interdisciplinary Research On Climate (MIROC) data.

Figure S3 Last Glacial Maximum (LGM, c. 21,000 years BP) projected distributions of the two grouse subspecies (Lagopus lagopus lagopus and L.l.scotica) modeled individually using the Community Climate System Model (CCSM) climate data.

Figure S4 Projected (blue) distributions of Lagopus lagopus, L. mutus, Pyrrhocorax graculus, and Montifringilla nivalis for the LGM, current climate and projected 2080s climate using alternative distribution models.

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