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R10d2h.f
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!== last modified 2-21-2012
SUBROUTINE r10d2h(VOLEQ,DBHOB,HTTOT,VOL,CUTFLG,CUPFLG,BFPFLG,
> MTOPP,ERRFLAG)
C subroutine implements volume equations developed by Larsen and Winterberger.
c PNW-RN-478.
c aug, 2000. KLC
C 2/21/2012 Y. Wang
C Modified A00DVEW094 and added the following equation based on document from R10
C A01DVEW094, A00DVEW375, A01DVEW375, A00DVEW747, A01DVEW747,
C A00DVEW108, A00DVEW310, and A00DVEW351
C A00 is used by costal Alaska and Interior Alaska south and east of the Alaska Range
C A01 is used by Interior Alaska north and west of the Alaska Range
C
C A00DVEW094, A00DVEW375, and A00DVEW747 are from PNW-RN-478 and PNW-RN-495 by Larson et al 1988 and 1990
C A01DVEW094, A01DVEW375, and A01DVEW747 are from NOR-5 by Haack 1963 and NOR-6 by Gregory et al 1964
C A00DVEW108, A00DVEW310, and A00DVEW351 are from Brackett 1973
C 2019/04/04 Added A02DVEW094 from Malone et al 2013. The equation is for AK statewide
C 2020/12/21 Added volume correction factor for small tree (DBH<6) total cubic volume of Larson equation.
CHARACTER*10 VOLEQ
REAL DBHOB,HTTOT,VOL(15),MTOPP
INTEGER CUTFLG,CUPFLG,BFPFLG,ERRFLAG,spn
CHARACTER*2 EQN
REAL D2H,VOLM
REAL A,B,C, pi,BA,CVTS,TATS,TARIF,TV4,CV4,R64,CV6,B4,BCU1,SV6
REAL BCU2,IV6,R84,CV8,RS86,SV8,RI86,IV8,CVSL,SCFT,XINTT
ERRFLAG = 0
IF(DBHOB.LE.1.0)THEN
ERRFLAG = 3
RETURN
ENDIF
IF(HTTOT.LE.0)THEN
ERRFLAG = 4
RETURN
ENDIF
c Initialize local variables DW 11/22
A=0.0
B=0.0
C=0.0
BA=0.0
CVTS=0.0
TATS=0.0
TARIF=0.0
TV=0.0
CV4=0.0
R64=0.0
CV6=0.0
B6=0.0
BCU1=0.0
SV6=0.0
BCU2=0.0
IV6=0.0
R84=0.0
CV8=0.0
RS86=0.0
SV8=0.0
RI86=0.0
IV8=0.0
CVSL=0.0
SCFT=0.0
XINIT=0.0
IF((voleq(3:3) .eq. '0') .or. (voleq(3:3) .eq. 'O') .or.
+ (voleq(3:3) .eq. 'o')) THEN
EQN = '00'
ELSEIF((voleq(3:3) .eq. '1') .or. (voleq(3:3) .eq. 'l')
+ .or. (voleq(3:3) .eq. 'I') .or. (voleq(3:3) .eq. 'L')
+ .or. (voleq(3:3) .eq. 'i')) THEN
EQN = '01'
ELSEIF(VOLEQ(2:3).EQ.'02')THEN
EQN = '02'
ELSE
ERRFLAG = 1
RETURN
ENDIF
D2H = DBHOB*DBHOB * HTTOT
if(voleq(8:10).eq.'094' .or. voleq(8:10).eq.'095') then
c A00DVEW094
IF(EQN .eq. '00') THEN
IF(CUTFLG .EQ. 1)THEN
VOL(1) = 0.65559+0.00191*D2H
IF(DBHOB.LT.6.0.AND.DBHOB.GT.0.0)THEN
VOL(1) = VOL(1)-(0.65559*(1.0-(DBHOB/6.0)**3))
ENDIF
ENDIF
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -0.21849 + 0.00189*D2H
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = 0.000136 * (D2H**1.40338)
C XINTT from equation 6 (PNW-RN-495)
VOL(10) = 0.00078*(D2H**1.26485)
ENDIF
ELSEIF(EQN.EQ.'01')THEN
C A01DVEW094
C NOR-6
IF(CUTFLG .EQ. 1)THEN
VOL(1) = -1.1843+0.205*DBHOB+0.01639*HTTOT+0.00187*D2H
ENDIF
C Equations for Subdivision 2 and Unit 4 (NOR-5)
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -2.0555+(0.2982*DBHOB)+(0.00181*D2H)
C THE ABOVE FORMULA IS FROM NOR-6. I CHANGED TO THE ONE FROM NOR-5 (YW 2018/11/07)
C VOL(4) = -.69934+.0021294646*D2H
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = 98.7701+(0.02022*D2H) -
+ 0.77651*DBHOB**2 - 1.63023*HTTOT
VOL(10) = -67.1116+(0.013663011*D2H) + (3344.33/(DBHOB**2))
ENDIF
ELSEIF(EQN.EQ.'02')THEN
C Malone 2013 equation for statewide AK white spruce
VOL(1) = EXP(-6.1352+1.8517*LOG(DBHOB)+1.069*LOG(HTTOT))
C Merch volume to 2, 4, 6-in top
IF(MTOPP.LT.3.0)THEN
VOL(4)=-0.987+0.948*VOL(1)+0.0825*DBHOB+0.0138*HTTOT
ELSEIF(MTOPP.LT.5.0)THEN
VOL(4)=-1.96+0.941*VOL(1)+0.144*DBHOB+0.0116*HTTOT
ELSE
VOL(4)=-5.14+0.92*VOL(1)+0.386*DBHOB-0.00095*HTTOT
ENDIF
IF(VOL(4).GT.VOL(1)) VOL(4) = VOL(1)
ENDIF
ELSEIF(voleq(8:10) .eq. '375' .or.
+ voleq(8:10) .eq. '746' .or.
+ voleq(8:10) .eq. '920') THEN
C A00DVEW375
IF(EQN .eq. '00') THEN
IF(CUTFLG .EQ. 1)THEN
VOL(1) = 0.64456+0.00206*D2H
IF(DBHOB.LT.6.0.AND.DBHOB.GT.0.0)THEN
VOL(1) = VOL(1)-(0.64456*(1.0-(DBHOB/6.0)**3))
ENDIF
ENDIF
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -0.7126+(0.00211*D2H)
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = 0.000081*(D2H**1.48459)
VOL(10) = 0.00043*(D2H**1.34294)
ENDIF
C A01DVEW375
ELSE
IF(CUTFLG .EQ. 1)THEN
VOL(1) = -0.01408*DBHOB**2+0.00815*HTTOT+0.00227*D2H
ENDIF
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -1.02411+(0.0022034075*D2H)
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = -27.163+(0.00995*D2H)
VOL(10) = -29.8848+(0.011913048*D2H)
ENDIF
ENDIF
ELSEIF(voleq(8:10) .eq. '747') THEN
C A00DVEW747
IF(EQN .eq. '00') THEN
IF(CUTFLG .EQ. 1)THEN
VOL(1) = 0.9864+0.00181*D2H
IF(DBHOB.LT.6.0.AND.DBHOB.GT.0.0)THEN
VOL(1) = VOL(1)-(0.9864*(1.0-(DBHOB/6.0)**3))
ENDIF
ENDIF
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -1.39764+(0.00188*D2H)
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = -28.0674+(0.00937*D2H)
VOL(10) = -17.4877+(0.01119*D2H)
ENDIF
C A01DVEW747
ELSE
IF(CUTFLG .EQ. 1)THEN
VOL(1) = 0.00806*HTTOT+0.00175*D2H
ENDIF
IF(CUPFLG .EQ. 1 .AND. DBHOB .GT. 4.0)THEN
VOL(4) = -0.8722+(0.001811522*D2H)
ENDIF
IF(BFPFLG.EQ. 1 .AND. DBHOB .GT. 6.0)THEN
VOL(2) = -46.7415+(0.00956*D2H)
VOL(10) = -49.1199+(0.010941441*D2H)
ENDIF
ENDIF
ELSEIF((voleq(8:10) .eq. '108') .or.
+ (voleq(8:10) .eq. '310') .or.
+ (voleq(8:10) .eq. '351') .or.
+ (voleq(8:10) .eq. '660'))THEN
C Equation 20 for A00DVEW108, A00DVEW310, and A00DVEW351
READ(voleq(8:10),'(I3)')spn
IF(voleq(8:10) .eq. '108') THEN
A = -2.615591
B = 1.847504
C = 1.085772
ELSEIF(voleq(8:10) .eq. '351') THEN
A = -2.672775
B = 1.920617
C = 1.074024
ELSEIF(voleq(8:10).eq.'310' .or. voleq(8:10).eq.'660') THEN
A = -2.770324
B = 1.885813
C = 1.119043
ENDIF
c basal area, squre feet
BA = 0.005454154*(DBHOB**2)
c Volume, cubic feet, entire stem (incl. stump and top)
CVTS = (10**A)*(DBHOB**B)*(HTTOT**C)
VOL(1) = CVTS
IF(DBHOB .gt. 4.0) THEN
c Tarif access constants
TATS = 0.912733/((1.033*(1+1.382937*EXP(-4.015292*(DBHOB/10))))
+ *(BA+0.087266) - 0.174533)
TARIF = CVTS * TATS
TV4 = (BA-0.087266)/0.912733
c Volume, cubic feet, stump to 4" top
CV4 = TARIF * TV4
IF(DBHOB .gt. 6.0) THEN
c Volume, cubic feet, stump to 6" top
R64 = 0.993 - 0.993*0.62**(DBHOB-6)
CV6 = CV4*R64
c Volume, board feet, Scribner, stump to 6" top
IF(((spn .ge. 300) .and. (DBHOB .ge. 11)) .or.
+ ((spn .lt. 300) .and. (DBHOB .ge. 9))) THEN
B4 = TARIF / 0.912733
BCU1 = 10**(0.174439+0.117594* LOG10(DBHOB) * LOG10(B4) -
+ 8.210585/DBHOB**2 + 0.236693 * LOG10(B4) -
+ 0.00001345*B4**2 - 0.00001937*DBHOB**2)
SV6 = CV6 * BCU1
c Volume, bosrd feet, International 1/4", stump to 6" top
BCU2 = -2.904154 + 3.466328 * LOG10(DBHOB * TARIF) -
+ 0.02765985 * DBHOB - 0.00008205*TARIF**2 +
+ 11.29598/DBHOB**2
IV6 = CV6 * BCU2
c Volume, cubic feet, to 8" top
R84 = 0.983 - 0.983*0.65**(DBHOB-8.6)
CV8 = CV4 * R84
c Volume, board feet, Scribner, to 8" top
RS86 = 0.99-0.58*(0.484**(DBHOB-9.5))
SV8 = SV6 * RS86
c Volume, board feet International 1/4", to 8" top
RI86 = 0.99 - 0.55*(0.485**(DBHOB-9.5))
IV8 = IV6 * RI86
ENDIF
ENDIF
ENDIF
IF(spn.ge.300) THEN
CVSL = CV8
SCFT = SV8
XINTT = IV8
ELSE
SCFT = SV6
XINTT = IV6
CVSL = CV6
ENDIF
IF(CUTFLG .EQ. 1)THEN
VOL(1) = CVTS
ENDIF
IF(CUPFLG .EQ. 1)THEN
VOL(4) = CVSL
ENDIF
VOL(7) = CV4-VOL(4)
IF(BFPFLG.EQ. 1)THEN
VOL(2) = SCFT
VOL(10) = XINTT
ENDIF
ENDIF
IF(VOL(2) .LT. 0) VOL(2) = 0
IF(VOL(4) .LT. 0) VOL(4) = 0
IF(VOL(1) .LT. 0) VOL(1) = 0
IF(VOL(10) .LT. 0) VOL(10) = 0
IF(VOL(7) .LT. 0) VOL(7) = 0
RETURN
END