Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 1 of 10. Supplementary File

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1 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 1 of 10 Supplementary File Contents Figures S1-S3: Example Stem And Branch Maps (Pages 1-3) Tables S1-S4: Summary Data (Pages 4-6) Tables S5-S13: Regression Output (Pages 7-10) Figure S1. Depiction of Control plot number 8606 the large circle represents the 0.04 ha plot area. The small circles are the trees within the plot depicting their actual dbh and the lines are the sample tree branches the branch length and diameter is accurately depicted at Mendocino County, California.

2 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 2 of 10 Figure S2. Depiction of Harvest plot number 8611 MRC California. The large circle represents the 0.04 ha plot area. The small circles are the trees within the plot depicting their actual dbh and the lines are the sample tree branches the branch length and diameter is accurately depicted at Mendocino County, California.

3 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 3 of 10 Figure S3. Depiction of Herbicide plot number 8610 MRC California. The large circle represents the 0.04 ha plot area. The small circles are the trees within the plot depicting their actual dbh and the lines are the sample tree branches the branch length and diameter is accurately depicted at Mendocino County, California.

4 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 4 of 10 Summary Data Table S1. Summary table of target tree and branch level variables for control plots Mendocino County, Variable Mean s.d. Min Max DBH (cm) Tree height (m) Crown ratio Neighbor dist. (m) HDR BAL (m 2 ha -1 )* Branch length (m) MaxB (cm) BIX (cm) DBH.p HT.p California. BAL = Basal area of trees larger than target tree (m 2 ha -1 ). Table S2. Summary table of target tree and branch level variables for Herbicide and Harvest treatment plots Mendocino County, California. Variable Mean s.d. Min Max Plot type Herb. Harvest Herb. Harvest Herb. Harvest Herb. Harvest DBH (cm) Tree height (m) Crown ratio 69% 70% 12% 14% 46% 43% 92% 94% Neighbor dist. (m) HDR BAL (m 2 ha -1 )* Branch length (m) MaxB (cm) BIX (cm) BGR DBH.p HT.p *BAL = Basal area of trees larger than target tree (m 2 ha -1 )

5 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 5 of 10 Table S3. Stand level summary of variables for control plot type Mendocino County, California. Flow accumulation = 1k ten meter cells contributing water to plot. Variable Mean s.d. Min Max SDI (metric) BA (m 2 ha -1 ) Tpha (trees ha -1 ) %BA-NODE (%)* %SDI-NODE (%)* DBH (cm) Tree height (m) Crown ratio (%) Flow accumulation Slope (%) Aspect (0-360 o ) Coast distance (km) BAI Index *%BA-NODE or %SDI-NODE = proportion of plot BA or SDI comprised of tanoak. Table S4. Stand level summary of variables for Herbicide and Harvest treatment plot types Mendocino County, California. Flow accumulation = 1k ten meter cells contributing water to plot. Variable Mean s.d. Min Max Plot type Herb. Harvest Herb. Harvest Herb. Harvest Herb. Harvest SDI (metric) BA (m 2 ha -1 ) Tpha (trees ha -1 ) SDIm.r BA.r (m 2 ha -1 ) DBH (cm) Tree height (m) Crown ratio (%) Flow accumulation Slope (%) Aspect (0-360 o ) BAI Index

6 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 6 of 10 Regression Output Table S5: BIX Informative Model (AIC) for redwood (SESE) and Douglas-fir (PSME; latent dummy variable) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species + BA + HT.p + cost.d + species:cost.d) (Intercept) 1.140e e *** TreeDBH 2.008e e * I(TreeDBH^2) e e * speciessese 3.370e e Baha e e HT.p e e cost.d 2.141e e speciessese:cost.d e e Residual standard error: on 17 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 7 and 17 DF, p-value: AIC= Table S6. BIX DBH & Height Inventory Model (AIC) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + BA + HT.p + species) (Intercept) 1.189e e e-07 *** TreeDBH 1.747e e * I(TreeDBH^2) e e * speciessese 1.185e e * BA e e HT.p e e Residual standard error: on 19 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 5 and 19 DF, p-value: AIC=

7 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 7 of 10 Table S7. BIX DBH Inventory Model (AIC) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species + BAL) (Intercept) 1.122e e e-07 *** TreeDBH 9.880e e I(TreeDBH^2) e e speciessese 1.273e e * BAL e e Residual standard error: on 20 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 4 and 20 DF, p-value: AIC= Table S8. AICc-derived Model for BIX including DBH and Height at Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species +HDR) (Intercept) 1.731e e e-06 *** TreeDBH 5.911e e I(TreeDBH^2) e e speciessese 6.009e e HDR e e * Residual standard error: on 20 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 4 and 20 DF, p-value: 5.129e-05, AIC = -46.5

8 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 8 of 10 Table S9. MaxB Informative Model (AIC) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species + BA + condition + HT.p + coast.d + species:coast.d) (Intercept) ** TreeDBH ** I(TreeDBH^2) * speciessese Baha conditiond HT.p cost.d speciessese:cost.d Residual standard error: on 16 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 8 and 16 DF, p-value: AIC= Table S10. MaxB DBH & Height Inventory Model (AIC) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species + BA + HT.p) (Intercept) 1.202e e e-07 *** TreeDBH 1.946e e * I(TreeDBH^2) e e * speciessese 1.427e e * BA e e HT.p e e Residual standard error: on 19 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 5 and 19 DF, p-value: AIC=

9 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 9 of 10 Table S11. MRC MaxB DBH Inventory Model (AIC) Mendocino County, California. lm(formula = ~ TreeDBH + I(TreeDBH^2) + species + BAL) (Intercept) 1.160e e e-06 *** TreeDBH 1.277e e I(TreeDBH^2) e e speciessese 1.468e e * BAL e e Residual standard error: on 20 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: 7.43 on 4 and 20 DF, p-value: AIC= Table S12. AICc-derived model for MaxB at Mendocino County, California. lm(formula = maxbd^(1/3) ~ TreeDBH + I(TreeDBH^2) + species) (Intercept) 1.093e e e-08 *** TreeDBH 1.364e e * I(TreeDBH^2) e e speciessese 1.682e e ** Residual standard error: on 21 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: 10 on 3 and 21 DF, p-value: , AIC =

10 Supplementary File: Kirk & Berrill, Second-log Branching in Multiaged Redwood and Douglas-fir Page 10 of 10 Table S13. MRC percent growth response Model (AIC) Mendocino County, California. lm(formula = per.r ~ plot.type + period + sqrt(dbh) + SDIm.r + Species + SDIm + PH5A + plot.type:period + plot.type:sdim.r) (Intercept) plot.typex period sqrt(dbh) * SDIm.r SpeciesSESE * SDIm PH5A e-05 *** plot.typex:period * plot.typex:sdim.r Residual standard error: on 102 degrees of freedom Multiple R-squared: , Adjusted R-squared: F-statistic: on 9 and 102 DF, p-value: 9.887e-11 AIC=