Table 2.

List of the sets, variables and input data applied in the optimization models.

Set	Description
S:	set of stands in the area
M:	set of management regimes
P:	number of periods
C:	block of stands that do not respect the minimum area limit
∂C:	neighborhood set of the block C
CMA:	set of all blocks of stands that do not respect the minimum area limit
Gi:	set of center points within stand i
PT:	set of all candidate center points for deadwood islands
Function	Description
L(Φ(x))	Piecewise linearization of the function In(cosh(x))
Variable	Description
xij:	binary decision variable that takes value 1 case stand i is managed under regime j or 0 otherwise
auxz i	integer auxiliary variable that equal the variable zi case variable xij takes value 1 and 0 otherwise
zi:	integer variable that equal the number of deadwood islands allocated to stand i
yi:	binary variable that takes value 1 case stand i is selected as forest reserve and value 0 otherwise
VolB:	bound for the volume production at each period k
pti:	binary variable that takes value 1 case center point i is selected as part of the solution and value 0 otherwise
sumPT:	variable that expresses the total number of points in the deadwood island network
linSumij:	auxiliary variable that linearizes the multiplication of the variable sumPT by variables kij
kij:	binary variable that assumes value 1 case the arc connecting center points i and j is selected to be part of the solution and value 0 otherwise
flowij:	flow travelling through arc (i,j)
Data	Description
npvij:	Net Present Value generated by stand i under management regime j
areai:	area of stand i
Tarea:	total forest area
$\left|C\right|$:	number of stands in block C
BPT:	bound on the number of center points in a single stand
AdjPT:	adjacency matrix of the set of points PT
$\left|PT\right|$:	number of points in PT
vijk:	volume produced by stand i, under management j in period k
Enpv:	Expected Net Present value
cholik:	i-th row and k-th column element of the Cholesky decomposition of the covariance matrix