BARK THICKNESS SHOULD YOU CARE? Jim Flewelling Jim.flew@yahoo.com GMUG, November 15, 2013 OUTLINE • • • • • • • YES – You Should Care . Background: 1994 NW Taper Coop Suspicious volume cutouts. Subsequent volume validations Bark thickness results Background: Structure of Taper Predictions. Solutions. Yes, You should care! • For almost taper and volume equations were derived from data where the key variables included DBH (outside bark), and inside bark volume or stem profile. • If the equations are applied to areas where bark thickness is different, results will be bad. 1994 West-sideTaper Coop • • • • 726 Douglas fir trees Across the diameter range within stands. 7 predefined regions. Eqns: – Bark thickness at breast height – Inside-bark profiles (conditioned at BH) – Upper stem bark thickness equations • Excellent residuals. 1994 West-sideTaper Coop 21 22 CANADA 23 12 14 ND MT 11 13 16 SD 15 6 OR ID Suspicious volume cutouts • Client was noticing a pattern of low volume cutouts in one of the operating areas. • Volume and taper equations are often the innocent “usual suspects” • This client put them on trial instead of just complaining. Subsequent volume validations • 11 harvest age DF stands. • 109 trees, selected across the DBH range. • Standing measurements: DBH, HT, and upper stem diameter (17’, 41’). • Felled: Outside bark profile, and bark thickness profile. Subsequent volume validations • 4% mean underestimate outside bark volume. • 0.0% mean error in outside bark volume • Mean predicted bark ratio = .097 • Mean observed bark ratio = .116 • Do the Math! • No other problems of this magnitude. Bark Thickness Results -1993 From same client Dble Bark / DBH Bark Thickness Results -2012 Bark Thickness Ratio (%) • Mean error = 1.68 percentage points. • Mean error by stand range of 7 points. • No clear regional effects. Bark Thickness Ratio - ANOVA • Y = Bark Thickness Ratio at breast height (%). • Variance between stands =3.95 – Standard error = 1.99 • Variance between trees (within stands)=5.43 – Standard error = 2.33 Background - Structure • Coop equations: – BR eqn at breast height = f(DBH, HT, region). – ib profile = f(DBH, HT, region) – Profiles then conditioned on DBHib • Less common: – ib profile = f(DBH, HT) • Software. Ability to supply DBHib? Solutions • Cruising can include bark thickness on a small number of trees. • For non-cruise applications, need survey models. • Try to find correlated variables. Solutions – Few Trees / Stand # of Stands Trees/Stand # of trees size of 95% CI on mean 20 10 200 1.92 20 20 400 1.93 20 40 800 1.89 40 10 400 1.30 40 20 800 1.30 40 40 1600 1.28 SOLUTIONS- CAUSES • • • • • Methods? Climate / region / stand conditions ? Seed source ? Recent weather? ??????