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Figure S1 Additional information concerning temperature in the different climate scenarios is shown. Boxplot (the bottom and top of the box are the lower and upper quartiles, respectively; and the band near the middle of the box is the median) with whiskers from minimum to maximum; in addition the mean of the data are indicated. The diagram display the variation between Tmin and Tann during the three periods —present, Middle Holocene and LGM— the two latter under two general circulation model estimates (CCSM and MIROC). Tmin (minimum temperature of the coldest month); Tann (annual temperature).

Figure S2 Additional information concerning temperature values in the different climate scenarios is shown. The diagram displays the variation of the Tmin and Tann in relation with latitude (from Pyrenees to Straits of Gibraltar) during three periods —present, the Middle Holocene and LGM— the two latter under two GCM model estimates (CCSM and MIROC). The temperature trend displays a reduction of cooling at low latitudes during LGM and vice-versa. Tmin (minimum temperature of the coldest month); Tann (annual temperature).

Figure S3 Additional information concerning the potential distribution of Abies pinsapo and A. alba at the present. Pollen deposits with the code indication are shown.

Figure S4 Additional information concerning the potential distribution of Abies pinsapo during the Middle Holocene under two GCM estimates (CCSM and MIROC). Pollen deposits with the code indication are shown. Presence of Abies pollen in pollen deposits during the Middle Holocene (± 500 years) is indicated with a star symbol.

Figure S5 Additional information concerning the potential distribution of Abies alba during the Middle Holocene under two GCM estimates (CCSM and MIROC). Pollen deposits with the code indication are shown. Presence of Abies pollen in pollen deposits during the Middle Holocene (± 500 years) is indicated with a star symbol.

Figure S6 Additional information concerning the potential distribution of Abies pinsapo at the LGM under two GCM estimates (CCSM and MIROC). Pollen deposits with the code indication are shown. Presence of Abies pollen in pollen deposits at the LGM (± 500 years) is indicated with a star symbol.

Figure S7 Additional information about the potential distribution of Abies alba at the LGM under two GCM estimates (CCSM and MIROC). Pollen deposits with the code indication are shown. Presence of Abies pollen in pollen deposits at the LGM (± 500 years) is indicated with a star symbol.

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