FOREST ESTATE PLANNING

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FOREST ESTATE PLANNING

• ESTATE / TIMBER SUPPLY PLANNING References
• UBC Forestry Handbook, Chapter on Forest-level
  Planning
• Davis, Johnson, Bettinger Howard, Forest
  Management, Chapters 6, 10 11
• Buongiorno Gilless
• Chapters 1-5 (good practice problems)

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Simple Forest-level Problem

• Maximize total harvests over 3 periods (each
  period10 years)
• Subject to
• minimum harvest/period 1500 mbf
• Harvest in period t1 not to exceed -20 of
  harvest in period t (sequential flow)
• Maximum acres cut/period 120
• Maximum acres cut period in each stand (see
  table)
• Sum of periodic treatments in stand i cannot
  exceed the total number of acres in stand i

3
Simple Forest-level Problem

• WORK THROUGH SIMPLE HARVEST PROBLEM IN EXCEL
  (based on DJ p. 276)

4
Introduce More Complexity

• multiple Prescriptions
• Regenerated Stands
• more time periods
• more constraints
• WORK THROUGH PICKETT HARVEST SCHEDULING PROBLEM
  (based on DJ, p. 583)

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PICKETT FOREST (Davis Johnson Chpt. 11)
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MODELLING PRESCRIPTIONS AND YIELDS

• EXISTING AND REGENERATED STANDS
• VOLUMES CUT AT HARVEST
• CLEARCUT AND THINNED ACRES
• INVENTORIES

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Prescription 1 All sites Prepare site, plant,
clearcut at age 30. Prescription 2 Good Sites
Prepare site, plant, release, commercially thin
about 40 volume at age 20, clearcut at age 40.
Prescription 3 Good Sites Prepare site, plant
improved stock, prune, thin about 40 at age
20, clearcut at age 40.
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EXISTING STAND YIELDS (CCF/ACRE)
OBJECTIVE IS TO CUT EXISTING STANDS WITHIN 40
YEARS, OR LEAVE THEM AS PARK
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REGENERATION STAND YIELDS FROM CLEARCUT
(CCF/ACRE)
R30 YEARS
R40 YEARS
R40 YEARS
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REGENERATION STAND YIELDS FROM THINNING
(CCF/ACRE)
THIN AT 20 YEARS AGE
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EACH COLUMN GIVES A FULL TREATMENT
PRESCRIPTION FOR AN ACRE OF LAND OVER THE
PLANNING HORIZON
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SUM THE HARVEST VOLUME YIELDS IN EACH PERIOD
INTO TOTAL HARVEST VARIABLES
THESE ROWS 0 on the RHS
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SIMILAR DECISION VARIABLES FOR EACH STAND,
PRESCRIPTION AND TIMING CHOICE
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ADD ROWS (and variables) FOR TOTAL ACRES CUT BY
PERIOD
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ADD ROWS (and variables) FOR THINNED ACRES BY
PERIOD
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ADD INVENTORY ROWS (VOLUME / ACRE AFTER HARVEST)
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SUM INVENTORIES INTO TOTALS FOR EACH PERIOD
0 on the RHS
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MODELLING POLICY

• HARVEST FLOW CONSTRAINTS
• INVENTORY CONSTRAINTS
• CASH FLOW CONSTRAINTS
• NON-TIMBER CONSTRAINTS
• SILVICULTURE/PRESCRIPTION LEVELS

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HARVEST FLOW CONSTRAINTS (SEQUENTIAL)