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R10tapo.f
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!== last modified 4-9-2002
SUBROUTINE R10TAPO(DBHOB,HT2,LTYPE,MTOPP,CHK,NLOG,HMERCH,CL,SH,
> DIB,VS,V)
C CALCULATES FOR HT IN NUMBER OF LOGS ONLY
************************************************************************
* ARGUMENTS *
************************************************************************
* *
* DBHOB - (Input) - DBH *
* HT2 - (Input) - Number 16' Logs *
* TYPE - (Input) - L if height is in logs *
* NLOG - (Output) - Number 16' Logs (Calculated) *
* HMERCH - (Output) - Height, Merch *
* DIB - (Output) - Calculateed Top Dia IB (small end) *
* CL - (Output) - Chunk Length ajk/3de91 *
************************************************************************
REAL SH(21),DIB(21),TOPDIA(2),MMH(2),VS(21),
> DST(2),DSLO(2),DSHI(2),XLL(21),DS(21),
> V(21),HH(21)
REAL HT2,HT2TEMP,DBHOB,HMERCH,NLOG,MTOPP,ST
REAL BK,BB,H,FV,HEST,RXL,TAPER,CL,FF,DD2MI,DXL,R32,RH
CHARACTER*1 LTYPE
INTEGER CHK,I,NOL16,NOL32,K,N,NN,KBD,KB,NLOG3,JJ
TOPDIA(1) = MTOPP
TOPDIA(2) = 4.0
DO 15, I=1,2
MMH(I) = 1.0
15 CONTINUE
DO 16, I=1,21
VS(I) = 0.0
DS(I) = 0.0
DIB(I) = 0.0
XLL(I) = 0.0
V(I) = 0.0
16 CONTINUE
ST = 1.0
IF(DBHOB.GT.36) ST = DBHOB/36.
C********************************************
C**** CHECK FOR HEIGHT OF TREE IN LOGS ***
C********************************************
IF (LTYPE.EQ.'L' .OR. LTYPE.EQ.'l') THEN
HT2TEMP = HT2
NOL16 = INT(HT2TEMP)
NOL32 = 0
IF(NOL32.EQ.0.AND.NOL16.EQ.0) THEN
BK = BB(DBHOB,H)
FV= 0.005454154 * DBHOB**2 * (H - 4.5) * BK
ENDIF
IF(NOL32.GT.0) NOL16 = NOL32 * 2
IF(NOL16.GT.0) THEN
HH(1) = ST + NOL16 * 16.3
H = 0.0
ENDIF
DO 20, I = 1,2
XLL(I) = 1. - (2./3.) * (TOPDIA(I)/DBHOB)
IF(H.LT.0.01) HEST = HH(1)/XLL(I)
IF(HEST.GT.0.01) BK = BB(DBHOB,HEST)
DST(I) = (TOPDIA(I)**2)/(BK * DBHOB**2)
DSLO(I) = DST(I) - 0.00001
DSHI(I) = DST(I) + 0.00001
IF(H.LE.0.01) THEN
RH = (HEST - HH(1))/(HEST-4.5)
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DS(I) = DD2MI(RH,R32,DBHOB,HEST)
RXL = 0.9 * RH
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C---------
IF(RXL.LE.0.0)THEN
RXL = 0
R32 = 0
ELSEIF(RXL .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RXL
ENDIF
DXL = DD2MI(RXL,R32,DBHOB,HEST)
TAPER = (DS(I)-DXL)/(0.1*RH)
ELSE
HH(I) = H * XLL(I)
RH = (H - HH(I))/(H - 4.5)
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DS(I) = DD2MI(RH,R32,DBHOB,H)
C *** ESTIMATE TAPER NEAR R
RXL = 0.9 * RH
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RXL.LE.0.0)THEN
RXL = 0
R32 = 0
ELSEIF(RXL .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RXL
ENDIF
DXL = DD2MI(RXL,R32,DBHOB,H)
TAPER = (DS(I) - DXL)/(0.1 * RH)
ENDIF
DO 30 K=1,10
IF(DS(I).GT.DSLO(I).AND.DS(I).LT.DSHI(I)) GO TO 40
RXL = RH + (DST(I) - DS(I))/TAPER
RH = RXL
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
IF(H.LE.0.01) THEN
HEST = (HH(I) - 4.5 * RH)/(1. - RH)
DS(I) = DD2MI(RH,R32,DBHOB,HEST)
ELSE
DS(I) = DD2MI(RH,R32,DBHOB,H)
ENDIF
30 CONTINUE
40 CONTINUE
IF(NOL16.LE.0.AND.H.GE.0.01) THEN
HH(I)=H-(RH*(H-4.5))
ENDIF
IF(H.LT.0.01) H = HEST
C *** FIND NUMBER (NN) OF LOGS AND CHUNKS AND FIND CHUNK LENGTH
C *** FOR TOPDIA(1) ONLY (I.E., DIB TOP=6.0 INCHES).
IF(CHK.EQ.1) GO TO 25
20 CONTINUE
25 DO 50, N=1,21
MMH(1) = 16.3 * N + ST + 0.0001
NN = N
IF(MMH(1) .GE. HH(1)) GO TO 60
50 CONTINUE
60 CONTINUE
KBD = NN - 1
C *** CALCULATE CHUNK LENGTH
CL = HH(1) - 16.3 * KBD - ST
C *** NEXT, FIND SCALING DIAMETERS AND VOLUMES FOR ALL LOG HEIGHTS TO
C *** TIP OF TREE. START WITH SCALING HEIGHT LIST.
SH(1)=4.5
C SH(2) = 4.5
DO 70, KB=1,KBD
SH(KB+1) = ST + KB * 16.3
70 CONTINUE
SH(KBD+2) = HH(1)
SH(KBD+3) = HH(2)
SH(KBD+4) = H
NLOG3 = NN + 3
NLOG = NN
BK = BB(DBHOB,H)
FV = 0.005454154 * DBHOB**2 * (H-4.5) * BK
DO 80, JJ=1,NLOG3
RH = (H - SH(JJ))/(H - 4.5)
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DIB(JJ) = DD2MI(RH,R32,DBHOB,H)
DIB(JJ) = (DIB(JJ) * BK)**0.5 * DBHOB
VS(JJ) = FF(RH,R32,DBHOB,H) * FV
80 CONTINUE
C *** NEXT, GET LOG AND TREE VOLUMES
DO 85, JJ=1,NLOG3
V(JJ) = VS(JJ) - VS(JJ+1)
85 CONTINUE
HMERCH = H
C***********************************************
C***** IF TOTAL HEIGHT IS IN FEET ***
C***********************************************
ELSE
H = HT2
BK = BB(DBHOB,H)
FV = 0.005454154 * DBHOB**2 * (H - 4.5) * BK
DO 200, I=1,2
DST(I) = (TOPDIA(I)**2)/(BK * DBHOB**2)
DSLO(I) = DST(I) - 0.00001
DSHI(I) = DST(I) + 0.00001
XLL(I) = 1. - (2./3.) * (TOPDIA(I)/DBHOB)
HH(I) = H * XLL(I)
RH = (H - HH(I))/(H - 4.5)
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DS(I) = DD2MI(RH,R32,DBHOB,H)
C *** ESTIMATE TAPER NEAR R
RXL = 0.9 * RH
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RXL.LE.0.0)THEN
RXL = 0
R32 = 0
ELSEIF(RXL .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RXL
ENDIF
DXL = DD2MI(RXL,R32,DBHOB,H)
TAPER = (DS(I) - DXL)/(0.1 * RH)
DO 100 K = 1,10
IF(DS(I).GT.DSLO(I).AND.DS(I).LT.DSHI(I)) GO TO 110
RXL = RH + (DST(I) - DS(I))/TAPER
RH = RXL
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DS(I) = DD2MI(RH,R32,DBHOB,H)
100 CONTINUE
110 CONTINUE
HH(I) = H - (RH * (H - 4.5))
200 CONTINUE
DO 250, N=1,21
MMH(1) = 16.3 * N + ST
NN = N
IF(MMH(1).GE.HH(1)) GO TO 260
250 CONTINUE
260 CONTINUE
KBD = NN - 1
C *** CALCULATE CHUNK LENGTH
CL = HH(1) - 16.3 * KBD - ST
C *** NEXT, FIND SCALING DIAMETERS AND VOLUMES FOR ALL LOG HEIGHTS TO
C *** TIP OF TREE. START WITH SCALING HEIGHT LIST.
SH(1) = 4.5
C SH(2) = 4.5
DO 300, KB = 1,KBD
SH(KB+1) = ST + KB * 16.3
300 CONTINUE
SH(KBD+2) = HH(1)
SH(KBD+3) = HH(2)
SH(KBD+4) = H
NLOG3 = NN + 3
NLOG = NN
DO 400, JJ=1,NLOG3
RH = (H - SH(JJ))/(H - 4.5)
C----------
C IF RH<0.078 (RH^32<10^-38), RH32 IS TRUNCATED AND USED IN
C THE (.)^32 TERM OF THE DVA FUNCTION. THIS SOLVES NDP ERROR,
C NUMERICAL UNDERFLOW, IN THE DVA FUNCTION.
C----------
IF(RH.LE.0.0)THEN
RH = 0
R32 = 0
ELSEIF(RH .LT. 0.078) THEN
R32= 0.078
ELSE
R32= RH
ENDIF
DIB(JJ) = DD2MI(RH,R32,DBHOB,H)
If (dib(jj) .lt. 0.0) dib(jj) = 0.0
DIB(JJ) = (DIB(JJ) * BK)**.5 * DBHOB
VS(JJ) = FF(RH,R32,DBHOB,H) * FV
400 CONTINUE
C *** NEXT, GET LOG AND TREE VOLUMES
DO 450, JJ=1,NLOG3
V(JJ) = VS(JJ) - VS(JJ+1)
450 CONTINUE
HMERCH = MMH(1)
ENDIF
900 RETURN
END
C************************************************************
C*** PROFILE EQUATION (USED FOR DIAMETER CALCULATIONS) ***
C************************************************************
FUNCTION DD2MI(RH,R32,DBHOB,H)
REAL RH,DBHOB,H,DD2MI,R32
DD2MI = RH**1.5 +
> ((-0.0052554*H + 0.000034947*H**2 + (0.104477*H)/DBHOB) *
> (RH**1.5 - RH**3)) +
> ((7.76807/DBHOB**2 - 0.0000094852*H**2 - (0.011351*H)/DBHOB) *
> (RH**1.5 - R32**32))
C XA = R**1.5
C XB = R**3
C XC = R**32
C XD = DBHOB**2
C XE = H**2
C XF = -0.0052554 * H
C XG = 0.000034947 * XE
C XH = (0.104477 * H) / DBHOB
C XI = XA - XB
C XJ = 7.76807 / XD
C XK = 0.0000094852 * XE
C XL = (0.011351 * H) / DBHOB
C XM = XA - XC
C XN = XF + XG + XH
C XO = XJ - XK - XL
C XP = XN * XI
C XQ = XO * XM
C WRITE (*,*) ' FUNCTION DD2MI'
C WRITE (*,*) ' R = ',R,' DBHOB = ',DBHOB,' H = ',H
C WRITE (*,*) ' R**1.5 = ',XA
C WRITE (*,*) ' R**3 = ',XB
C WRITE (*,*) ' R**32 = ',XC
C WRITE (*,*) ' DBHOB**2 = ',XD
C WRITE (*,*) ' H**2 = ',XE
C WRITE (*,*) ' -0.0052554 * H = ',XF
C WRITE (*,*) ' 0.000034947 * H**2 = ',XG
C WRITE (*,*) ' (0.104477 * H) / DBHOB = ',XH
C WRITE (*,*) ' R**1.5 - R**3 = ',XI
C WRITE (*,*) ' 7.76807 / DBHOB**2 = ',XJ
C WRITE (*,*) ' 0.0000094852 * H**2 = ',XK
C WRITE (*,*) ' (0.011351 * H) / DBHOB = ',XL
C WRITE (*,*) ' R**1.5 - R**32 = ',XM
C WRITE (*,*) ' (-0.0052554 * H) + (0.000034947 * H**2) +'
C WRITE (*,*) ' ((0.104477 * H) / DBHOB) = ',XN
C WRITE (*,*) ' (7.76807 / DBHOB**2) - (0.0000094852 * H**2) -'
C WRITE (*,*) ' ((0.011351 * H) / DBHOB) = ',XO
C WRITE (*,*) ' ((-0.0052554 * H) + (0.000034947 * H**2) +'
C WRITE (*,*) ' ((0.104477 * H) / DBHOB)) *'
C WRITE (*,*) ' (R**1.5 - R**3) = ',XP
C WRITE (*,*) ' ((7.76807 / DBHOB**2) - (0.0000094852 * H**2) -'
C WRITE (*,*) ' ((0.011351 * H) / DBHOB)) * '
C WRITE (*,*) ' (R**1.5 - R**32) = ',XQ
C WRITE (*,*) ' END FUNCTION DD2MI'
RETURN
END
C******************************************************************
C*** INTEGRAL OF PROFILE EQUATION (USED IN VOLUME CALCULATION) ***
C******************************************************************
FUNCTION FF(RH,R32,DBHOB,H)
REAL RH,DBHOB,H,FF,R32
FF = 0.4 * RH**2.5 + (-0.0052554 * H + 0.000034947 * H**2
> + 0.104477 * H/DBHOB) * (0.4 * RH**2.5 - 0.25 * RH**4.) +
> (7.76807/DBHOB**2 - 0.0000094852*H**2 - 0.011351*H/DBHOB)*
> (0.4 * RH**2.5 - (1./33.) * R32**33)
RETURN
END
C*********************************
C*** BARK THICKNESS EQUATION ***
C*********************************
FUNCTION BB(DBHOB,H)
REAL DBHOB,H,BB
BB = (0.8467 + 0.0009144 * DBHOB + 0.0003568 * H)
RETURN
END