1. CIPS80 v. 1.0

2. Data, Sites ECR—4 yrs of growth on 1 site
2m2y—6 yrs of growth on 1 sites
CPT—8 yrs of growth on 3 sites
LTSP—8 yrs of growth on 2 sites
Fall River—10 years of growth on 1 site
Herb1—20 yrs of growth on 2 sites
Tanoak—25 years of growth on 2sites
SMC type 3—up to 24 years of growth on 30 sites
SMC type 2—up to 24 years of growth on 12 sites
SMC type 1—up to 28 years of growth on 19 sites
LOGS—up to 50 years of growth on 9 sites
Blackrock—up to 58 years of growth on 11 control plots
SWO-ORGANON—5 years of growth on
525 plots 2

3. Ht growth dataset Confined to only those trees with measured heights
All VMRC installations (n=48001)
Fall River (n=25876)
Tanoak (n=3665)
LSTP—all trees to age 5, subset at age>5 (n=26307)
SMC type 1 (n=19514)
SMC type 2 (n=2248)
SMC type 3 (n=32812)
LOGS (n=2117)
Blackrock (n=626)
Height to crown base (necessary for estimating CCH)
Measured at Fall River, subset of VMRC, SMC, LO, BR
Estimated using HCB equation constructed from HCB-measured trees 3

4. Ht growth dataset, calculated variables
Potential height growth (Bruce SI50)
Determine GEA of height, determine increment associated with GEA+period length
Height to crown base (necessary for estimating CCH)
Measured at Fall River, subset of VMRC, SMC, LO, BR
Estimated using HCB equation constructed from HCB-measured trees
Max crown width (necessary for CCH estimate)
For trees with ht> 5 m, used Hann (1999)
For trees with ht< 5m, fit an equation based on measurements at ECR and CPT estimating MCW from ht. Crown profile was parabolized to match profile of Hann estimates for large trees
CCH (Crown closure at height of subject tree)
Calculation eased by Hann DLL 4

5. Ht growth, summed cover, WMSE = 2.7241
I0* a0 +
((1-I0) * (PHG *
(Exp(-Exp(a1+a2*HT) * weedcov0.5))
*a3* (Exp(a4* CCH)) * (1 - Exp(-a5 * CRa6)))) 5

6. Potential Ht growth Total age:
p1 = (50 + (Exp( / * ((SI / ) ^ ))))
p2 = (1 / ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3))
p3 = ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3)
gea1 = (((Log(ht / SI)) / (Log(4.5 / SI) / (((Exp( / * ((SI / ) ^ )))) ^ p3 - p1 ^ p3))) + (p1 ^ ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3))) ^ p2
gea2 = gea1 + 1 6

7. Potential Ht growth htgea =
SI * Exp((Ln(4.5 / SI) / (((Exp( / * ((SI / ) ^ )))) ^ ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3) - (50 + (Exp( / * ((SI / ) ^ )))) ^ ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3))) * ((gea1) ^ ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3) - (50 + (Exp( / * ((SI / ) ^ )))) ^ ( * (SI / 100) * (SI / 100) ^ * (SI / 100) ^ 3)))
Hpot= htgea(t+1) – htgea(t) 7

8. Ht growth, effect by sumcover (%)8

9. Dbh dataset
Confined to all trees age 12 and under, and only those older trees with measured crown ratio
All VMRC installations (n=27676)
Fall River (n=24326)
Tanoak (n=1215)
LSTP—all trees to age 5, subset at age>5 (n=2730)
SMC type 1 (n=31480)
SMC type 2 (n=2322)
SMC type 3 (n=39948)
LOGS (n=1192)
Blackrock (n=914)
SWO-ORGANON (n=15396) 9

10. Dbh growth, summed cover, RMSE=8.7325
((b1)*((dbh+1)^b2))*exp(b3*(dbh/100)3)
*exp(b4*(cr+0.2)/1.2)
*exp(b5*log(si50))
*exp(b6*Iyoung*log(si50))
*exp(b7*(BA)^0.5)
*exp(b8*((BAL)/(log(DBH+10)))
*exp(b9*Inat*((BAL)/(log(DBH+10)))
*(exp((1-Iold)*(-exp(b10+b11*ht)*sumcov^0.5)) 10

11. Dbhgr, effect of weed cover11

12. Mortality, MSE=0.0224 SAS Proc NLIN
    
Mortality, MSE=0.0224
SAS Proc NLIN
Used an annualizing compound interest formula. Selection based on minimization of MSE, comparison of measured to predicted mortality in systematic ranges of independent
variables
Probability of mort (p)
=log ((p) / (1-p))
where p=
c0+c1*(dbhless1)+c2*((crless1))+c3*log(balless )+c4*log(si50)
Probability of mortality increases with:
Increasing SI, BAL
Decreasing HT, CR, BA 12

13. Height to crown base For static prediction of crown base
Data from five studies:
Herb1: measured at 15 and 20 year remeasurements (n=4184)
Fall River: measured at 6, 7, 8, and 10 year remeasurements (n=15367)
SMC type 1, 2 and 3 (n=75021)
LOGS (n=1314)
Blackrock (n=334) 13

14. Height to crown base Model, undamaged (weighted by HCB^0.5) HCB= ht .
(1 + Exp(d0 + d1·Log (HT) + d2·Log(DFBA ) +d3·(dbh / ht)+ d4·CCFL +d5 · Log(SI50))) 14

15. Height to Crown base 15

16. CIPS80, Bakuzis output
Bakuzis matrix graphically illustrates the compatibility of model output with the interdependent relationships typically found between the most common stand and tree descriptors of even-aged stands
Output from DFSIM provides a proper example for comparison

17. CIPS80, Bakuzis output
Vol vs. ht

18. CIPS80, Bakuzis output
Vol vs. TPA

19. CIPS80, Bakuzis output
Vol vs. qmd

20. CIPS80, Bakuzis output
Vol vs. age

21. CIPS80, Bakuzis output
BA vs TPA

22. CIPS80, Bakuzis output
BA vs ht

23. CIPS80, Bakuzis output
BA vs qmd

24. CIPS80, Bakuzis output
BA vs age

25. CIPS80, Bakuzis output
TPA vs. ht

26. CIPS80, Bakuzis output
TPA vs. qmd

27. CIPS80, Bakuzis output
TPA vs. age

28. CIPS80, Bakuzis output
CR vs. ht

29. CIPS80, Bakuzis output
Ht vs. age

30. CIPS80, Bakuzis output
Scribner volume vs. height

31. CIPS80, Bakuzis output
Scribner volume vs. age