| Xijkl | Area of species j planted in period i that harvested and regenerated to species l at period j in management zone X (ha) |
| wh | Weight of timber production |
| wc | Weight of carbon storage |
| ww | Weight of water storage |
| wm | Weight of air purification |
| TVp | Timber production volume form thinning at period p (m3) |
| HVp | Timber production volume form final cutting at period p (m3) |
| trp | Net present value of revenue from thinning at period p (Korean won) |
| tcp | Net present value of cost from thinning at period p (Korean won) |
| hrp | Net present value of revenue from final cutting at period p (Korean won) |
| hcp | Net present value of cost from final cutting at period p (Korean won) |
| Cp | Net present value of carbon storage at period p (Korean won) |
| Wp | Net present value of water storage at period p (Korean won) |
| Mp | Net present value of fine dust absorption at period p (Korean won) |
| hvXijkp | Final cutting volume of species j in period p that planted at period i and harvested at period k in management zone X (m3/ha) |
| tvXijkp | Thinning volume of species j in period p that planted at period i and harvested at period k in management zone X (m3/ha) |
| HVp | Final cutting volume at period p (m3) |
| TVp | Thinning volume at period p (m3) |
| vXijp | Residual volume of species j at period p, that planted at period i in management zone X (m3) |
| Vrp | Volume of species r at period p (m3) |
| cr | Carbon emission factor of species r |
| wXijp | The amount of water storage of species j at period p, that planted at period i in management zone X (ton) |
| mr | The amount of fine dust absorption of species r |
| α | Allowable decreasing rate in timber production (%) |
| β | Allowable increasing rate in timber production (%) |
| ACnp | Area of age-class n at period p (ha) |
| γnp | Lower bound area of age-class n at period p (ha) |
| Area | Total area (ha) |
| δrp | Lower bound area of species r at period p (ha) |
| εrp | Upper bound area of species r at period p (ha) |
| AXrp | Area of species r at period p in management zone X (ha) |
| XA | Aeea of management zone X (ha) |
| ζp | Lower bound area of conifers trees at period p (ha) |
| ηp | Upper bound area of conifers trees at period p (ha) |
| CAp | Area of conifers trees at period p (ha) |
| θp | Lower bound area of Broad-leaveds at period p (ha) |
| ιp | Upper bound area of Broad-leaveds at period p (ha) |
| BAp | Area of Broad-leaveds at period p (ha) |