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JABOWA. Janick , Botkin , and Wallis Individual tree Not location dependent ‘gap model’. Driving equation is diameter. Mitscherlich equation Diameter growth = G * LIGHT * AET * TEMP … G (max growth) based on record trees LIGHT based in physiologic experiments
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JABOWA • Janick, Botkin, and Wallis • Individual tree • Not location dependent • ‘gap model’
Driving equation is diameter • Mitscherlich equation • Diameter growth = G*LIGHT*AET*TEMP … • G (max growth) based on record trees • LIGHT based in physiologic experiments • AET, TEMP etc. based on natural range
3 Modules (can be turned on/off) • Birth • Growth • Death
Birth • Stochastically adds saplings • Based on total leaf area of species in the plot
Growth • Must have estimate of growth potential • Diameter growth = G*LIGHT*AET*TEMP … • Record trees or backcasting estimate • For short term growth • Asymptotic growth based on maximum age
Light • What reaches top of tree • Uses Beers-Lambert light extinction law • Neutral density filter
Quadratic 100% Potential growth Temperature (degree days)
Quadratic 100% Potential growth AET
Kill • Expectation = 4/AgeMax [for ‘normal growth rates] • Slow growers 99% (for 10 years)
Some details • Only grows dbh • Everything else is regressed • FORET (problems with over parameterization) • Competition • Plot size is crucial [10m X 10m is basic]
TASS • Tree And Stand Simulator • Individual tree model • Location dependent • Based on crown development • Grows crowns • Wood is a regressed set of variables
Greatest development was based on Douglas fir • First structured on white spruce • Eventually modified for other species • Based on the concepts of ‘lollipops’ • First proposed by David Smith in the 60’s
Assumption of a repeatable crown shape • First proposed by Halle in the early 70’s • Based on theory of reiterative branching patterns • Douglas fir is parabolic
Paraboloid 10 Decreasing at a decreasing rate 7 10 10 7 5 10 7 5 4 10
Bole increment • BI = aFVk
Death • Any tree where leader is overtopped