Table SM3.ANOVA (P-value) and Tukey test of the effects of composition (mixed stands Mx, pure pine stands Ps and pure oak stands Qp) and forest management alternatives (1: NOM, 2: BAU, 3: AM1 and 4: AM2) on the provision of ecosystem services under all climate change scenarios. Results are shown for the last 25 years of the simulation period (2085-2110). Different letters show significant differences between species composition or between forest management alternatives (a>bacb>c). ns= not significant, dark grey shaded cells show significant differences at p<0.01, light grey shaded cells show significant differences at p<0.001**, white cells show significant differences at p<0.0001***.TP=timber production, CS=carbon sequestration, NCBD=nature conservation and the maintenance of biodiversity, PGH=protection against gravitational hazards.

Climate change scenario C1 / Climate change scenario C2 / Climate change scenario C3 / Climate change scenario C4 / Climate change scenario C5
Composition / Management / Composition / Management / Composition / Management / Composition / Management / Composition / Management
Ps / Mx / Qp / NOM / BAU / AM1 / AM2 / Ps / Mx / Qp / NOM / BAU / AM1 / AM2 / Ps / Mx / Qp / NOM / BAU / AM1 / AM2 / Ps / Mx / Qp / NOM / BAU / AM1 / AM2 / Ps / Mx / Qp / NOM / BAU / AM1 / AM2
TP
V / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b
VI / a / a / b / ns / a / a / b / ns / a / a / b / ns / a / a / b / ns / a / a / b / ns
TVH / ns / c / b / a / a / ns / c / b / a / a / ns / c / b / a / a / ns / c / b / a / a / ns / c / b / a / a
CS
CS / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b
NCBD
LLTN / ba / a / b / a / b / b / b / a / a / b / a / b / b / b / ba / a / b / a / b / b / b / ba / a / b / a / b / b / b / ba / a / b / a / b / b / b
SDWV / a / a / b / a / b / b / b / a / b / c / a / b / cb / c / a / a / b / a / b / b / b / a / b / c / a / b / b / b / a / b / c / a / b / b / b
LSDTN / a / ba / b / a / b / b / b / a / ba / b / a / b / b / b / a / ba / b / a / b / b / b / a / b / b / a / b / b / b / a / b / b / a / b / b / b
LSDTV / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b
COV / a / a / b / ns / b / b / a / ns / b / b / a / ns / b / b / a / ns / b / b / a / ns
H / b / a / c / a / b / b / b / b / a / c / a / b / b / b / b / a / c / a / b / b / b / b / a / c / a / b / b / b / b / a / c / a / b / b / b
PGH
RPI1 / a / a / b / a / b / b / b / a / a / b / a / b / b / ba / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b
RPI9 / b / a / b / a / b / b / b / b / a / b / a / b / b / b / b / a / b / a / b / b / b / b / a / b / a / b / b / b / b / a / b / a / b / b / b
LPI / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b / a / a / b / a / b / b / b

V, Standing volume (m3.ha-1); VI, current annual volume increment ( m3.ha-1.yr-1); TVH, volume of timber harvested (m3.ha-1.yr-1); CS, total carbon storage (t.ha-1); LLTN, abundance of large living trees (ha-1); SDWV, dead wood volume (m3.ha-1); LSDTN, abundance of large standing dead trees (ha-1); LSDTV, volume of large standing dead trees (m3.ha-1); COV, canopy cover; H, tree size diversity; RPI1, RPI9, protection against rockfalls at different rock sizes; LPI, protection against landslides and erosion