Table 5 Extended mathematical notation.
From: Optimizing sustainable and multifunctional management of Alpine Forests under climate change
Notation | |
|---|---|
\(B_{i,s,t,m,cli,opt}\) | Value of indicator i in stand s in period t if management strategy m is applied under climate scenarios cli and optimization scenarios opt |
CLI | Set of all climate scenarios cli |
E | Set of all elevation ranges elv |
OPT | Set of all optimization scenarios opt |
P | Set indicating whether a stand has a protection service or not (p) |
\(PU_{g,p,s,o}\) | Partial utility of indicator group g in forests with / without a protection service p for all optimization opt and climate cli scenarios |
\(dPU_{g,p,s,o}\) | Difference in partial utility of indicator group g in forests with / without a protection service p for all optimization opt and climate cli scenarios compared with the EnterpriseRef scenario |
\(PU_{g,cli,opt,t,elv}\) | Partial utility of indicator group g, for all elevational ranges elv, periods t, optimization scenarios opt and climate cli scenarios |
\(\overline{Y}_{i,g,p}\) ; \(\underline{Y}_{i,g,p}\) | Upper / lower bound for indicator i in group g and forests with or without a protection service p over all optimization opt and climate cli scenarios |
\(\max ; \min ({B}_{i})\) | Stand-based global maximum and minimum indicators values over all stands s, periods t, climate scenarios cli, and optimization scenarios opt |
