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Western Mensurationist Meeting Victoria, July 3, 2003. Yield Implications of Variable Retention Harvesting. VR Team: Mario Di Lucca, Ken Polsson, Jim Goudie, and Tim Bogle. Research & Timber Supply Branches B. C. Ministry of Forests, Victoria. In the Fraser TSA.
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Western Mensurationist Meeting Victoria, July 3, 2003 Yield Implications of Variable Retention Harvesting VR Team: Mario Di Lucca, Ken Polsson, Jim Goudie, and Tim Bogle Research & Timber Supply Branches B. C. Ministry of Forests, Victoria
In the Fraser TSA From a Timber Supply Perspective
Variable Retention (VR)Impacts on Sustainable Harvest Levels • Will VR reduce harvest levels? • If so, by how much? • What are the ecological merits of • aggregated vs. dispersed retention? • What are the G&Y impacts? • What are the economic implications?
Variable Retention (VR) • Background • J. Franklin (UW) “New Forestry” • Clayoquot Scientific Panel (1995) • Weyerhaeuser (1998) & • TASS simulations - Goudie (1998) • Timber supply analysts request VR volume estimates for the Fraser TSA • Research Branch develops tools to predict VR yields of: • regenerated stands • excluding retained trees
TASS Simulations (Goudie, 1998) Weyerhaeuser Retained stand age 100 years - Regenerated stand age 10
Methods to Estimate Variable Retention Yield Curves using TASS 1. Simulate Actual Site VR Yield Curves Cutblock Variables TASS TSR
Methods to Estimate Variable Retention Yield Curves using TASS 1. Simulate Actual Site VR Yield Curves Cutblock Variables TASS TSR 2. Derive Relationships TASS VRAF Function VR Yield Curves Simulation Variables TIPSY TSR Cutblock Variables
Method 1. Simulate Actual Site in the Fraser TSA 60 years old cutblock after VR harvest TASS layout
Cutblock Statistics(ArcInfo) Cutblock area: 31.02 ha Retention area: 4.38 ha (15 groups ranging from 0.05 to 2.1 ha) Percent retention: 14% Perimeter or edge retained: 111 m/ha
TASS Simulations • Simulate VR cutblock scenario: • Plant: 4444 trees/ha Fd on site 35 (age 0) • Grow to: age 60 • Harvest to mimic cutblock layout • Plant: 1400 Cw trees/ha • Grow to: age 160 & harvest Simulate comparable clearcut scenario & calculate: VRAF = VR vol/Clearcut vol = 0.82 (age 100)
Clearcut vs. Regenerated (VR) Yields Average Reduction 1.00 0.83 Clearcut VR Previous Stand
Method 2. Derive Relationships • Matrix of TASS simulations • Select important variables & • Derive VRAF equations: • VRAF(sp) = f (edge, % retention, SI, • overstory age or height, etc.)
Method 2. Derive Relationships • Matrix of TASS simulations (1107 runs): • Site Index: 25, 30 & 35 • Harvest ages: 70, 130 & 200 years • Retention level: 10, 20 & 30% • 15 rectangular group sizes: 0.01 to 4 ha • Number of groups: 1 to 9 • 27 dispersed tree regimes: 20 to 240 trees/ha • Constants: • Original stand: 5000 trees/ha FDc natural • Regenerated stand: 1200 trees/ha planted & • 600 trees/ha natural • Retained groups: rectangularity of 1:6.25
Partial matrix of TASS simulationsSI 30, Overstory age 70 & 10% Retention Run 1: 1 group - 1.5 ha Run 2: 152 groups - 0.01 ha (1 ha) Run 3: 718 groups (trees) - 0.0015 ha (1 ha) (15 ha)
Partial matrix of TASS simulations Clearcut 1 group 152 groups 718 groups
Partial matrix of TASS simulations Avg. Yield Reduction 1.00 Clearcut 0.91 1 group 0.72 0.73 152 groups 718 groups VRAF = VR volume/Clearcut volume
Method 2. Derive Relationships • Matrix of TASS simulations • Select important variables & • Derive VRAF equations: • VRAF(sp) = f (edge, % retention, SI, • overstory age or height, etc.)
Select important variables to estimate VRAF using TASS • Species & Site Index • Overstory retained stand: • Edge length > f (group shape, size & number) • % retention • Top height /age • Regenerated stand: • Top height
Edge Effect Retained stand age 100 years - Regenerated stand age 10 0 m edge 118 m edge 235 m edge 200 m edge 352 m edge 910 m edge No trees will grow under the overstory canopy (black areas) TASS Simulations (Goudie, 1998) of Weyerhaeuser treatments
VRAF as affected by edge length, no. & group size Run 1: (1 Group) Run 2: (152 Groups) Run 3: (718 Groups) VRAF declines (< 1.00) as: • Edge length increases by: • increasing number of groups • decreasing group size
VRAF as affected by % Retention & Overstory Age VRAF declines (< 1.00) as: • % retention increases • overstory age decreases
VRAF as affected by Site Index & Overstory Topht SI 35 SI 25 SI 30 VRAF declines (< 1.00) as: • SI increases • overstory top height decreases
Method 2. Derive Relationships • Matrix of TASS simulations • Select important variables & • Derive VRAF equations: • VRAF(sp) = f (edge, % retention, SI, • overstory age or height, etc.)
10% 20% 30%
VRAF Segmented Regression Function VRAF = 1- (b * Edge + c * (Edge - x0) * d1 + f * (Edge - x1) * d2) 1st Slope: b = b0 + b1* SI + b2 * retht + b3 * perc + b4 * topht Slope change: c = c0 + c1* SI + c2 * retht + c3 * perc + c4 * topht 2nd slope change: f = f0 + f1 * SI + f2* retht + f3 * perc Where: Edge = Edge length (m/ha) SI = Site index Retht = Overstory top height Perc = % retention Topht = Regenerated top height
Fitted VRAF Function R2 = 0.993
Retention 10% 20% 30%
Percent retention: 14% Edge length: 111 m/ha Overstory height: 30 m Overstory age: 60 yrs. TIPSY ver. 3.2 VRAF = 0.83 Fraser TSA Cutblock
Variable retention vs. clearcut yields & value at age 60 VRAF = 0.83
CC 200 Overstory Age 130 70 CC % = b * ba ** c Where: b = b0 + b1 * retht c = c0 + c1 * SI
Variable Retention Harvesting Effects on Timber Supply
% retention edge length SI top height of regenerated trees top height/age of overstory trees Variable Retention Summary VRAF declines (< 1.00) and the relative yield of regenerated stands decreases as:
Variable Retention Summary The primary factor affecting VRAF is: the amount and distribution of the retained trees which will compete for the regenerated growing space
Current & Future Development • incorporate VRAF into TIPSY • address other species • model impact of windthrow & pests • incorporate VRAF into TASS III which is linked to a light model
TASS with and without light model TASS II TASS III
TASS with and without light model TASS II TASS III
TASS with and without light model TASS II TASS III
TASS with and without light model TASS II TASS III
TASS II TASS III
TASS II TASS III