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F_west.f
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!== last modified 4-9-2002
C FILE CONTAINS THE FOLLOWING ROUTINES
C SHP_W3
C SHP_W4
C SHP_W5
C COR_WS
C VAR_C1
C SF_ZFD3
C SF_ZFD4
C SF_ZFD5
C FDBT_C1
C BRK_WS
c***********************************************************************
SUBROUTINE SHP_W3(DBHOB,HTTOT,GeoSUB,RFLW,RHFW)
c Stem form SHAPE paraemeters for Doug Fir (English units)
c***********************************************************************
c Coefficients for NW TAPER Coop April, 1994
c (REGN CD17.coe)
c Copyright J. W. Flewelling, 1994
IMPLICIT DOUBLE PRECISION (A-H, O-Z)
CHARACTER*2 GEOSUB, DFSUB(8)
INTEGER ID
REAL*4 RHI1, RHI2, RHC, RHLONGI
REAL*4 DBHOB, HTTOT
REAL*4 R1, R2, R3, R4, R5, A3
REAL*4 RFLW(6), RHFW(4)
REAL*8 U1,U2,U3,U4,U5,U6,U7,U8,U9,U9A
real*4 m1, m2, m3, R25(8), R34(8)
real*8 f(50),FR25,FR34,DMEDIAN,DFORM
c common SF_A provides DBHOB(ob), Total height and DBHOB(ib)
c Median
data m1, m2 ,m3 / .566, .634, .00074 /
data (F(I),I=13,15)/ -.07799267d0, .8096211D0, -.9247244D0 /
data (F(I),I=17,19)/ 0.166749D0, -9.20884D0 , .1212094D0 /
data (F(I),I=21,24)/ 5.0719922d0, -.12555733d0, -1.6408313d0,
> -.3005388D0/
data (F(I),I=25,26)/ -2.000088D0 , -.410677D0/
data (F(I),I=29,31)/ -1.428671d0,-0.8660924d0, .0543758d0 /
data (F(I),I=33,37)/ 0.80981083D0, 5.1785820d0, 1.8935219d0,
> -2.420031d0 , -.009232401D0/
data (F(I),I=38,40)/ -11.49305d0, 2.037438d0, -.0114178d0 /
data (F(I),I=42,44)/ 2.246288d0, -1.1410822d0, 1.7293166d0 /
data (F(I),I=45,47)/ -3.18221d0, -2.119838d0, 1.3756086d0/
c Regional coefficients
c (alpha to numeric transform is in SF_2PT)
c region order is: CO EV NO RS SO WE WV WC
c OR OR WA WA WA WA OR WA
c IREGION: 1 2 3 4 5 6 7 8
DATA (DFSUB(I),I=1,8)/'01','02','03','04','05','06','07','08'/
c Region 8 (Washington West coast) uses Region 6 (WA. West) coef.
data (r25(i),i=1,8)/ -2.0262D0, -1.7945d0, -2.0366d0,
> -2.0811d0, -1.9868d0, -2.0151d0, -1.9475d0, -2.0151d0 /
data (r34(i),i=1,8)/ 5.2132d0, 5.1417d0, 5.1768d0 ,
> 5.1156d0, 5.1654d0, 5.2413d0, 5.1427d0, 5.2413d0 /
c Region modifications to coefficients
FR25=f(25)
FR34=f(34)
if (GEOSUB.NE.'00') then
DO 100, ID=1,8
IF(DFSUB(ID).EQ.GEOSUB) THEN
FR25=r25(ID)
FR34=r34(ID)
ENDIF
100 CONTINUE
endif
DMEDIAN = m1 *(HTTOT - 4.5)**(m2 + m3*HTTOT)
DFORM = DBHOB/DMEDIAN -1.0d0
c RHI1
U7 = F(13) + f(14)*log(DBHOB+1.) + f(15)*log(HTTOT)
c RHLONGI
U9A = f(18) + f(19)*HTTOT
if(U9A .gt. 7.0d0) U9a=7.0d0
if(U9A .lt. -7.0d0) U9a=-7.0d0
U9 = f(17)* dexp(U9A) / (1.0d0+dexp(U9A))
c RHC
U8 = f(21)+f(22)*log(HTTOT) +f(23)*DFORM +
> f(24)*(DBHOB/10.0D0)**1.5d0
c U1-U5
U1 = FR25 + f(26)*log(HTTOT)
U2 = f(29) + f(30)*log(DBHOB) + f(31)*DBHOB
U3 = FR34 + f(35)*log(DBHOB+1.0d0) + f(36)*log(HTTOT)
> +f(37)*DFORM*HTTOT + f(33)*DFORM
U4 = f(38) + f(39)*DBHOB + f(40)*HTTOT*DBHOB
U5 = f(42) + f(43)*HTTOT +f(44)*DFORM
c limits on U1 to U5
if (U1.lt. -7.0d0) U1=-7.0d0
if (U1.gt. 7.0d0) U1= 7.0d0
if (U2.lt. -7.0d0) U2=-7.0d0
if (U2.gt. 7.0d0) U2= 7.0d0
if (U3.lt. -7.0d0) U3=-7.0d0
if (U3.gt. 7.0d0) U3= 7.0d0
if (U4.lt. -7.0d0) U4=-7.0d0
if (U4.gt. 7.0d0) U4= 7.0d0
if (U5.lt. -7.0d0) U5=-7.0d0
if (U5.gt. 7.0d0) U5= 7.0d0
if (U7.lt. -7.0d0) U7=-7.0d0
if (U7.gt. 7.0d0) U7= 7.0d0
if (U8.lt. -7.0d0) U8=-7.0d0
if (U8.gt. 7.0d0) U8= 7.0d0
c U6=A3 (bounds: 1.005-100)
U6 = f(45) + f(46)*log(DBHOB+1.0d0) + f(47)*log(HTTOT)
if (U6 .lt. -6.0) U6=-6.0
if(U6 .gt. 6.0 ) U6=6.0
U6 = 1.0D0 + exp( U6)
if(U6 .lt. 1.005) U6=1.005D0
if(U6 .gt. 100.0d0) U6=100.0d0
c Define geometric parameters
R1= dexp(U1)/ (1.0d0 + dexp(U1))
R2= dexp(U2)/ (1.0d0 + dexp(U2))
R3= dexp(U3)/ (1.0d0 + dexp(U3))
R4= dexp(U4)/ (1.0d0 + dexp(U4))
R5= 0.5d0 + 0.5d0*dexp(U5)/ (1.0d0 + dexp(U5))
A3=U6
RHI1 = dexp(U7) / ( 1.0d0 + dexp(U7) )
if (RHI1.gt. 0.5) RHI1=0.5
RHLONGI= U9
RHI2 = RHI1 + RHLONGI
RHC = RHI2 + (1.0 - RHI2) * dexp(U8)/( 1.0d0 + dexp(U8))
C PUT COEFFICIENTS INTO AN ARRAY FOR EASIER PASSING
RFLW(1) = R1
RFLW(2) = R2
RFLW(3) = R3
RFLW(4) = R4
RFLW(5) = R5
RFLW(6) = A3
RHFW(1) = RHI1
RHFW(2) = RHI2
RHFW(3) = RHC
RHFW(4) = RHLONGI
RETURN
END
c***********************************************************************
c***********************************************************************
SUBROUTINE SHP_W4(DBHOB,HTTOT,GeoSUB,RFLW,RHFW)
c Stem form SHAPE paraemeters for Western Hemlock (English units)
c***********************************************************************
c Coefficients for NW TAPER Coop April, 1994
c (REGH TEST1929.coe, WH422R*.coe)
c Copyright J. W. Flewelling, 1994
IMPLICIT DOUBLE PRECISION (A-H, O-Z)
CHARACTER*2 GEOSUB, WHSUB(8)
REAL*4 RHI1, RHI2, RHC, RHLONGI
REAL*4 DBHOB, HTTOT
REAL*4 R1, R2, R3, R4, R5, A3
REAL*4 RFLW(6), RHFW(4)
c real*4 m1, m2, m3
real*8 f(50),FR25,FR34,DMEDIAN,DFORM
REAL*8 U1,U2,U3,U4,U5,U6,U7,U8,U9,U9A
REAL*4 r25(8), r34(8)
INTEGER ID
c common SF_A provides DBHOB(ob), Total height and DBHOB(ib)
data (F(I),I=13,15)/ -.31137977D+01, .11996084D+01, -.1195901D-01/
data (F(I),I=17,19)/ -.66829984D-01, .26990398D-01, .24661021D+00/
data (F(I),I=21,24)/ -.83415555D+01, .24274384D+01 ,
> -.56918023D+01, .56487213D+00 /
data (F(I),I=25,28)/ -.76464554D+01 , .51709049D+01 ,
> -.27133381D+01 , .38918349D+00 /
data f(29) / -7.0d0 /
data (F(I),I=34,37)/ -.12882571D+01 , .35688410D+02 ,
> .17995769D+00 , .15565605D+01 /
data (F(I),I=38,40)/.64397446D+01, -.13439736D+01, .63442558D+01/
data (F(I),I=42,44)/.11898092D+02, -.36789851D+01, .15168209D+00/
data (F(I),I=45,47)/-.13248733D+01,-.11788962D+00 ,
> -.15909154D-01 /
c Regional coefficients
c (alpha to numeric transform is in SF_2PT)
c region order is: CO EV NO RS SO WE WV WC
c OR OR WA WA WA WA OR WA
c IREGION: 1 2 3 4 5 6 7 8
DATA (WHSUB(I),I=1,8)/'01','02','03','04','05','06','07','08'/
c Region 2 (Oregon West Valley) uses Region 3 (Or. EV) coef.
data (r25(i),i=1,8)/ -7.511d0, -7.687d0, -7.224d0,
> -7.355d0, -7.632d0, -7.646d0, -7.687d0, -7.911d0/
data (r34(i),i=1,8)/ -1.215d0, -1.355d0, -1.177d0,
> -1.373d0, -1.398d0, -1.188d0, -1.355d0, -1.449d0 /
c Region modifications to coefficients
FR25=f(25)
FR34=f(34)
if (GEOSUB.NE.'00') then
DO 100, ID=1,8
IF(WHSUB(ID).EQ.GEOSUB) THEN
FR25=r25(ID)
FR34=r34(ID)
ENDIF
100 CONTINUE
endif
DMEDIAN = .2855*(HTTOT-4.5)**(.307 - .00505*HTTOT +
> .00001745*HTTOT*HTTOT+0.19*log(HTTOT))
DFORM = DBHOB/DMEDIAN -1.0d0
c RHI1
U7 = F(13) + f(14)*( 1.0d0 - exp(F(15)*HTTOT))
if (U7.lt. -7.0d0) U7=-7.0d0
if (U7.gt. 7.0d0) U7= 7.0d0
RHI1 = dexp(U7) / ( 1.0d0 + dexp(U7) )
if (RHI1.gt. 0.5) RHI1=0.5
c RHLONGI
U9A = f(17) + f(18)*log(HTTOT) + f(19)*DFORM
if (RHI1 + U9A .gt. 0.75) U9A = 0.75-RHI1
if(u9a.gt.0.) then
u9 = u9a
else
u9 = 0.
endif
c U9 = MAX( U9A , 0.)
c RHC
U8 = f(21)+f(22)*log(HTTOT)+f(23)*DFORM+f(24)*log(HTTOT)*DFORM
c U1-U5
U1 = FR25 + f(26)/(HTTOT/100.0D0) + f(27)/(HTTOT/100.0D0)**2
> + f(28)/(HTTOT/100.0D0)**3
U2 = f(29)
U3 = FR34 + f(35)/HTTOT + f(36)*HTTOT*DBHOB/1000.0 + f(37)*DFORM
U4 = f(38) + f(39)*log(HTTOT) + f(40)*DFORM
U5 = f(42) + f(43)*log(HTTOT) + f(44)*DBHOB
c limits on U1 to U5
if (U1.lt. -7.0d0) U1=-7.0d0
if (U1.gt. 7.0d0) U1= 7.0d0
if (U2.lt. -7.0d0) U2=-7.0d0
if (U2.gt. 7.0d0) U2= 7.0d0
if (U3.lt. -7.0d0) U3=-7.0d0
if (U3.gt. 7.0d0) U3= 7.0d0
if (U4.lt. -7.0d0) U4=-7.0d0
if (U4.gt. 7.0d0) U4= 7.0d0
if (U5.lt. -7.0d0) U5=-7.0d0
if (U5.gt. 7.0d0) U5= 7.0d0
if (U8.lt. -7.0d0) U8=-7.0d0
if (U8.gt. 7.0d0) U8= 7.0d0
c U6=A3 (bounds: 1.005-100)
U6 = f(45) + f(46)*log(DBHOB) + f(47)*HTTOT + f(48)*log(HTTOT)
if (U6 .lt. -6.0) U6=-6.0
if(U6 .gt. 6.0 ) U6=6.0
U6 = 1.0D0 + exp( U6)
if(U6 .lt. 1.005d0) U6=1.005D0
if(U6 .gt. 100.0d0) U6=100.0d0
c Define geometric parameters
R1= dexp(U1)/ (1.0d0 + dexp(U1))
R2= dexp(U2)/ (1.0d0 + dexp(U2))
R3= dexp(U3)/ (1.0d0 + dexp(U3))
R4= dexp(U4)/ (1.0d0 + dexp(U4))
R5= 0.5d0 + 0.5d0*dexp(U5)/ (1.0d0 + dexp(U5))
A3=U6
RHLONGI= U9
RHI2 = RHI1 + RHLONGI
RHC = RHI2 + (1.0 - RHI2) * dexp(U8)/( 1.0d0 + dexp(U8))
C PUT COEFFICIENTS INTO AN ARRAY FOR EASIER PASSING
RFLW(1) = R1
RFLW(2) = R2
RFLW(3) = R3
RFLW(4) = R4
RFLW(5) = R5
RFLW(6) = A3
RHFW(1) = RHI1
RHFW(2) = RHI2
RHFW(3) = RHC
RHFW(4) = RHLONGI
RETURN
END
c***********************************************************************
c***********************************************************************
SUBROUTINE SHP_W5(DBHOB,HTTOT,GeoSUB,RFLW,RHFW)
c Stem form SHAPE paraemeters for Red Cedar (English units)
c***********************************************************************
c Coefficients for NW TAPER Coop April, 1994
c (REGC RC41494.coe)
c Copyright J. W. Flewelling, 1994
IMPLICIT DOUBLE PRECISION (A-H, O-Z)
CHARACTER*2 GEOSUB
REAL*4 RHI1, RHI2, RHC, RHLONGI
REAL*4 DBHOB, HTTOT
REAL*4 R1, R2, R3, R4, R5, A3
REAL*4 RFLW(6), RHFW(4)
REAL*8 U1,U2,U3,U4,U5,U6,U7,U8,U9,U9A
real*8 f(50),DMEDIAN,DFORM
c common SF_A provides DBHOB(ob), Total height and D=DBHOB(ib)
data F(13),F(15) / -.11917515D+01 , .15632952D+00 /
data (F(I),I=17,18)/ .44805624D+00 , -.10269221D+00 /
data (F(I),I=21,22)/ .82814200D+00 , .17750205D+02 /
data (F(I),I=25,27)/ -.17959260D+2, .38308966D+01,.45163788D+02 /
data (f(I),I=29,31)/ -.17546090D+01,-.79230813D+01,-.11253761D+03/
data (F(I),I=34,36)/ -.17943249D+00,.15534485D+00, -.32777026D-01/
data (F(I),I=38,40)/.85305448D+01, -.83350599D+00 , .12100013D+02/
data (F(I),I=42,43)/ .83021283D+01, -150.0D0 /
data (F(I),I=45,47)/ -.71594841D+01, .11263465D+00, .22396603D+02/
c Region modifications to coefficients
DMEDIAN = .11*(HTTOT-4.5)**( 1.08 + 0.0006*HTTOT)
DFORM = DBHOB/DMEDIAN -1.0d0
c RHI1
U7 = F(13) +F(15)*DFORM
if (U7.lt. -7.0d0) U7=-7.0d0
if (U7.gt. 1.0d0) U7= 1.0d0
RHI1 = dexp(U7) / ( 1.0d0 + dexp(U7) )
c RHLONGI
U9A = f(17) + f(18)*log(HTTOT)
if (RHI1 + U9A .gt. 0.75) U9A = 0.75-RHI1
if(u9a.gt.0.) then
u9 = u9a
else
u9 = 0.
endif
c U9 = MAX( U9A , 0.)
c RHC
U8 = f(21)+f(22)/DBHOB
c U1-U5
U1 = f(25) + f(26)*log(DBHOB) + f(27)/DBHOB
U2 = f(29) +f(30)/DBHOB +f(31)/(DBHOB*DBHOB)
U3 = f(34) + f(35)*DBHOB + f(36)*HTTOT
U4 = f(38) + f(39)*DBHOB + f(40)*DFORM
U5 = f(42) + f(43)/DBHOB
c limits on U1 to U5
if (U1.lt. -7.0d0) U1=-7.0d0
if (U1.gt. 7.0d0) U1= 7.0d0
if (U2.lt. -7.0d0) U2=-7.0d0
if (U2.gt. 7.0d0) U2= 7.0d0
if (U3.lt. -7.0d0) U3=-7.0d0
if (U3.gt. 7.0d0) U3= 7.0d0
if (U4.lt. -7.0d0) U4=-7.0d0
if (U4.gt. 7.0d0) U4= 7.0d0
if (U5.lt. -7.0d0) U5=-7.0d0
if (U5.gt. 7.0d0) U5= 7.0d0
if (U8.lt. -7.0d0) U8=-7.0d0
if (U8.gt. 7.0d0) U8= 7.0d0
c U6=A3 (bounds: 1.005-100)
U6 = f(45) + f(46)*DBHOB + f(47)/DBHOB
if (U6 .lt. -6.0) U6=-6.0
if(U6 .gt. 6.0 ) U6=6.0
U6 = 1.0D0 + exp( U6)
if(U6 .lt. 1.005d0) U6=1.005D0
if(U6 .gt. 100.0d0) U6=100.0d0
c Define geometric parameters
R1= dexp(U1)/ (1.0d0 + dexp(U1))
R2= dexp(U2)/ (1.0d0 + dexp(U2))
R3= dexp(U3)/ (1.0d0 + dexp(U3))
R4= dexp(U4)/ (1.0d0 + dexp(U4))
R5= 0.5d0 + 0.5d0*dexp(U5)/ (1.0d0 + dexp(U5))
A3=U6
RHLONGI= U9
RHI2 = RHI1 + RHLONGI
RHC = RHI2 + (1.0 - RHI2) * dexp(U8)/( 1.0d0 + dexp(U8))
C PUT COEFFICIENTS INTO AN ARRAY FOR EASIER PASSING
RFLW(1) = R1
RFLW(2) = R2
RFLW(3) = R3
RFLW(4) = R4
RFLW(5) = R5
RFLW(6) = A3
RHFW(1) = RHI1
RHFW(2) = RHI2
RHFW(3) = RHC
RHFW(4) = RHLONGI
RETURN
END
c***********************************************************************
c***********************************************************************
FUNCTION COR_WS(JSP,HTTOT, HI , HJ)
C********************************************************************
c CORR
c given 2 heights (hi and hj), estimate the correlation of the
c Z errors in the corresponding dib's
c NW Taper Coop Western Hemlock (WH41194.coe)
c Copyright, 1994 James W. Flewelling
REAL COR_WS
INTEGER JSP,JSPR
REAL BH,HTTOT,HI,HJ, CORR,H1,H2,T3,T4,T2,T1
REAL QH(3,5),Q1,Q2,Q3,Q4,Q5
c DATA F80,F81/ 2.013, .4345/
c Douglas fir
DATA (QH(1,I),I=1,5)/ -4.9012, 14.0602, -14.98, -1.813, 0.249/
C western hemlock
DATA (QH(2,I),I=1,5)/ -4.1915, 10.026, -11.536, -1.3865, -.338/
c western red cedar
DATA (QH(3,I),I=1,5)/ -5.6689, 22.896, -28.335, -1.9173, .242/
JSPR=JSP-2
Q1=QH(JSP,1)
Q2=QH(JSP,2)
Q3=QH(JSP,3)
Q4=QH(JSP,4)
Q5=QH(JSP,5)
BH = 4.5
c any error is completely correlated with itself
if(hi.eq.hj ) then
cor_ws=1.0
return
endif
c There are no errors at breast height (Ha!)
c Correlations are irrelevant.
if(hi.eq.bh .or. hj.eq.bh) then
cor_ws=0.5
return
endif
c define heights h1 and h2 with h2 > h1
h1=min(hi, hj)
h2=max(hi,hj)
if(h1.gt. bh) then
c both heights are above BH
t3=(h1-bh)/(HTTOT-bh)
t4=(h2-bh)/(HTTOT-bh)
CORR = exp( q1*(t4-t3) + q2*(t4*t4-t3*t3)/2.0D0
> +q3*(t4*t4*t4 - t3*t3*t3)/3.0D0)
GO TO 100
endif
if(h2.gt. bh) then
c h1 < Bh and h2 > BH
t3=(h2-bh)/(HTTOT-bh)
T2 = (BH-H1)/BH
CORR = q5*exp( q4*t2 + q1*t3 +q2*t3*t3/2.0d0
> +q3*t3**3 / 3.0d0 )
go to 100
endif
c h1 < Bh and H2 < Bh
c note: t2 < t1
T2 = (BH-H2)/BH
T1 = (BH-H1)/BH
CORR=exp( q4* (t1-t2))
100 COR_WS = CORR
return
END
C********************************************************************
C********************************************************************
SUBROUTINE VAR_C1(JSP,DBHOB,HTTOT,H,DIBmod,DIBact,Z)
c SF_ZFD
C********************************************************************
c Find Z, given d.
C INTERNAL ROUTINES: SF_ZDF3
C SF_ZDF4
C SF_ZDF5
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c DIBact In Real*4 Actual dib
c Z out Real*4 Standardized offset
INTEGER JSP
REAL DBHOB, HTTOT, H, DIBmod, DIBact, Z
if(JSP.eq. 1 .or. jsp.eq.2) then
C CALL VAR_STD( h, SE )
c z = (dibact - DIBmod ) / se
else if(JSP.eq.3) then
CALL sf_zfd3(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
else if(JSP.eq.4) then
CALL sf_zfd4(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
else if(JSP.eq.5) then
CALL sf_zfd5(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
else
Z=0.
endif
RETURN
END
C********************************************************************
C********************************************************************
SUBROUTINE SF_ZFD3(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
C********************************************************************
c Find Z, given d.
c Douglas Fir, NW Taper Coop April, 1994 (CD17.coe)
c Copyright James W. Flewelling, 1994
c
c CHANGES_____________________________________________________________
c 23 JUL 1997 Mixed-mode (MU + .0005) arithmetic corrected.
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c DIBact In Real*4 Actual dib
c Z out Real*4 Standardized offset
IMPLICIT DOUBLE PRECISION (A-H, O-Z)
REAL*4 H , DIBMOD, DIBACT, Z
REAL*4 DBHOB, HTTOT, BH
REAL*8 MU,LAMDA,BL1,BL4,S11,S12,S13,S21,S22,S3,S4,S5,S6
REAL*8 SU5,SU6,S7,S8,S9,X,T,ALHT,ALAMDA,TR2,DZ_DX
REAL*8 YM,DELTA,GAMMA,Y,YLOGIT
INTEGER IENTRY
DATA BL1, BL4 / 9.2484016d0 ,19.051579d0 /
DATA MU / 0.01D0 /
DATA S11,S12,S13 / 1.18456d0, -.02638802d0, .4293105d0/
DATA S21,S22 / -3.638135d0, .44202834d0 /
DATA S3, S4 / -1.7685049d0, -.066272536d0 /
DATA S5, S6 / -11.061295d0, -.010578261d0 /
DATA S7, S8, S9 / -.29628457d0, -.43808609d0, 0.74422178d0 /
DATA SU5,SU6 / -.25196078d0, 1.7192804d0/
IENTRY=1
c EQN. 1 X
BH=4.5
X = DIBact/DIBmod
IF (X.le.mu +0.0005D0) then
x=mu+0.0005D0
endif
20 IF (H.gt. BH) then
T = (H-BH)/(HTTOT-BH)
else
T = (BH-H)/BH
endif
alht=log(HTTOT)
c LAMDA and log(dZETA dX)
IF (H.gt. BH) then
ALAMDA = SU5 + SU6*T*T
if (alamda.gt. 12.0D0) alamda= 12.0D0
if (alamda.lt. -12.0D0) alamda=-12.0D0
LAMDA = 1.0 - MU + exp(ALAMDA)
TR2 = (s11 + s12*DBHOB + s13*ALHT )
> + (s21 + s22*ALHT)*T
> + s3*T**4 + s4*log(T)
else
c below BH
ALAMDA = bl1 + BL4*T*T
TR2 = s5 + s6*HTTOT + (s7+S9*HTTOT**0.3)*(T)**s8
if (alamda.gt. 12.0D0) alamda=12.0D0
if (alamda.lt. 0.0D0) alamda=0.0d0
LAMDA = exp(alamda)
if (TR2.gt. 12.0D0) tr2= 12.0d0
if (TR2.lt. -25.0D0) tr2=-25.0d0
ENDIF
DZ_DX = exp(TR2) * LAMDA
c find gamma and delta
c EQN 4 Y(median)
YM = (1.0D0-MU)/LAMDA
c EQN 8, Solved for DELTA
DELTA = DZ_DX * LAMDA / 4.0D0 *
> (1.0D0 - (2.0d0*YM-1.0D0)*(2.0d0*YM-1.0D0) )
c EQN 7 GAMMA
GAMMA = - DELTA*log( YM/(1.0D0-YM))
IF (IENTRY.eq.2) go to 120
c
c EQN 2 Y
Y=(X-MU)/LAMDA
IF (Y.gt. 0.999999D0) then
Y=0.999999D0
ENDIF
c EQN 3 ZETA
Z = GAMMA + DELTA*LOG(Y/(1.0d0-Y))
RETURN
ENTRY SF_DFZ3(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
c Find Z, given d.
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c Z In Real*4 Standardized offset
c DIBact Out Real*4 Actual dib
IENTRY=2
BH=4.5
if(abs(bh - h).lt. 1.0E-6) then
DIBact=DIBmod
RETURN
ENDIF
GO TO 20
c reverses the Sb transform
120 YLOGIT = (Z - GAMMA)/DELTA
Y = exp(ylogit)/(1.0d0 + exp(ylogit))
X = MU + LAMDA*Y
DIBact = X * DIBmod
RETURN
END
C********************************************************************
C********************************************************************
SUBROUTINE SF_ZFD4(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
C********************************************************************
c Find Z, given d.
c Western Hemlock, NW Taper Coop April, 1994 (WH41194.coe.coe)
c Copyright James W. Flewelling, 1994
c CHANGES___________________________________________
C 22JUL 1997 Move test of X vs MU.
C Note: old postion could have caused a problem
C for non-Microsoft compilers.
C Mixed mode arithmetic (R*4 + R*8 corrected).
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c DIBact In Real*4 Actual dib
c Z out Real*4 Standardized offset
IMPLICIT DOUBLE PRECISION (A-H, O-Z)
REAL*4 H , DIBMOD, DIBACT, Z
REAL*4 DBHOB, HTTOT, BH
REAL*8 MU, LAMDA
REAL*8 A11,A12,A13,A21,A22,A31,A32,A33,A40,A41,A42
REAL*8 S1,S3,S5,S6,S7,U11,U12,U2
REAL*8 T,A1,A2,A3,A4,TR2,U1,DZ_DX,YM,DELTA,GAMMA,X,Y,YLOGIT
INTEGER IENTRY
DATA A11,A12,A13/ 3.7244760d0, -.64373853d0, -2.5045615d0 /
DATA A21,A22 / -7.6871598d0, 0.030248851d0 /
DATA A31,A32,A33/ 1.2762845d0, .44828840d0, -.50630122d-2 /
DATA A40,A41,A42/ .032150116d0, 4.0216438d0, -4.8014107d0 /
DATA S1, S3/ 0.01d0, .69481696d0/
DATA S5, S6/ .70394499d0, 5.4510380d0 /
DATA S7 / 2.8470272d0 /
DATA U11, U12, U2/ 3.4018968d0, -.88734933d0, -2.334093d0/
IENTRY=1
BH=4.5
20 IF (H.gt. BH) then
T = (H-BH)/(HTTOT-BH)
else
T = (BH-H)/BH
ENDIF
c LAMDA and log(dZETA dX)
IF (H.gt. BH) then
MU=S1
LAMDA = 1.0D0 - MU +exp(S5 +S6*T*T)
A1= A11+A12*DLOG(DBLE(DBHOB)+1.0D0) + A13/DBLE(DBHOB)
A2 = MIN( A21+A22*DBLE(DBHOB), 0.0d0)
A3 = A31 + A32*LOG(DBLE(DBHOB)+0.5d0) +
> A33* LOG(DBLE(DBHOB)+0.5d0)*LOG(DBLE(DBHOB)+0.5d0)
A4 = A40 + A41*exp(A42*DBHOB)
TR2 = A1 + A2*T**A3 + A4/T
else
c below BH
U1= U11*(1.0d0 - exp(U12*DBHOB))
MU=S3
LAMDA=S7
TR2 = U1 +U2*T
ENDIF
if (TR2.lt. -12.0d0) TR2=-12.0d0
if (TR2.gt. 12.0d0) TR2= 12.0d0
DZ_DX = exp(TR2) * LAMDA
c find gamma and delta
c EQN 4 Y(median)
YM = (1.0D0-MU)/LAMDA
c EQN 8, Solved for DELTA
DELTA = DZ_DX * LAMDA / 4.0D0 *
> (1.0D0 - (2.0d0*YM-1.0D0)*(2.0d0*YM-1.0D0) )
c EQN 7 GAMMA
GAMMA = - DELTA*log( YM/(1.0D0-YM))
IF (IENTRY.eq.2) go to 120
c
c EQN. 1 X
X = DIBact/DIBmod
IF (X.le.mu +0.0005D0) then
x=mu+0.0005D0
ENDIF
c EQN 2 Y
Y=(X-MU)/LAMDA
IF (Y.gt. 0.999999D0) then
Y=0.999999D0
ENDIF
c EQN 3 ZETA
Z = GAMMA + DELTA*LOG(Y/(1.0d0-Y))
RETURN
ENTRY SF_DFZ4(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
c Find Z, given d.
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c Z In Real*4 Standardized offset
c DIBact Out Real*4 Actual dib
IENTRY=2
if(abs(bh - h).lt. 1.0E-6) then
DIBact=DIBmod
RETURN
ENDIF
GO TO 20
c reverses the Sb transform
120 YLOGIT = (Z - GAMMA)/DELTA
Y = exp(ylogit)/(1.0D0 + exp(ylogit))
X = MU + LAMDA*Y
DIBact = X * DIBmod
RETURN
END
C********************************************************************
C********************************************************************
SUBROUTINE SF_ZFD5(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
C********************************************************************
c Find Z, given d.
c Red Cedar, NW Taper Coop April, 1994 (RC41194.coe.coe)
c Copyright James W. Flewelling, 1994
C CHANGES______________________________________________________
C JUL 23, 1993 Move test of X vs MU
c (potential problem for compilers that do not
c initilize variables to zero.)
C Fix mixed mode arithmetic (R*4 + R*8)
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c DIBact In Real*4 Actual dib
c Z out Real*4 Standardized offset
C IMPLICIT DOUBLE PRECISION (A-H, O-Z)
REAL*4 H , DIBMOD, DIBACT, Z
INTEGER IENTRY
REAL*4 DBHOB, HTTOT, BH
REAL*8 MU, LAMDA,A11,A12,A13,A21,A22,A31,A32,A33
REAL*8 A40,A41,A42,S1,S3,S5,S6,S7,U11,U12,U2
REAL*8 T,A1,A2,A3,A4,TR2,U1,DZ_DX,YM,DELTA,GAMMA,X,Y,YLOGIT
DATA A11,A12,A13/4.3050830d0, -.85232440d0, -2.3355492d0 /
DATA A21,A22 / -7.5573025d0, 0.011360349d0 /
DATA A31,A32,A33/-1.9172059d0, 3.1382338d0, -.53258164d0/
DATA A40,A41,A42/ .019259274d0, 4.0216439d0, -4.7142447d0 /
DATA S1, S3/ 0.01d0, .78308913d0/
DATA S5, S6/ .21140396d0, 6.4129714d0 /
DATA S7 / 2.03990921d0 /
DATA U11, U12, U2/ 3.3372438d0, -4.0010883d0, -2.2145198d0/
IENTRY=1
BH = 4.5
20 IF (H.gt. BH) then
T = (H-BH)/(HTTOT-BH)
else
T = (BH-H)/BH
ENDIF
c LAMDA and log(dZETA dX)
IF (H.gt. BH) then
MU=S1
LAMDA = 1.0D0 - MU +exp(S5 +S6*T*T)
A1= A11+A12*DLOG(DBLE(DBHOB)+1.0D0) + A13/DBLE(DBHOB)
A2 = MIN( A21+A22*DBLE(DBHOB), 0.0d0)
A3 = A31 + A32*LOG(DBLE(DBHOB)+0.5d0) +
> A33*LOG (DBLE(DBHOB)+0.5d0) * LOG(DBLE(DBHOB)+0.5d0)
A4 = A40 + A41*exp(A42*DBHOB)
TR2 = A1 + A2*T**A3 + A4/T
else
c below BH
U1 = U11*(1.0d0 - exp(U12*DBHOB))
MU=S3
LAMDA=S7
TR2 = U1 +U2*T
ENDIF
if (TR2.lt. -12.0d0) TR2=-12.0d0
if (TR2.gt. 12.0d0) TR2= 12.0d0
DZ_DX = exp(TR2) * LAMDA
c find gamma and delta
c EQN 4 Y(median)
YM = (1.0D0-MU)/LAMDA
c EQN 8, Solved for DELTA
DELTA = DZ_DX * LAMDA / 4.0D0 *
> (1.0D0 - (2.0d0*YM-1.0D0)*(2.0d0*YM-1.0D0) )
c EQN 7 GAMMA
GAMMA = - DELTA*log( YM/(1.0D0-YM))
IF (IENTRY.eq.2) go to 120
c
c EQN. 1 X
X = DIBact/DIBmod
IF (X.le.mu +0.0005D0) then
x=mu+0.0005D0
ENDIF
c EQN 2 Y
Y=(X-MU)/LAMDA
IF (Y.gt. 0.999999D0) then
Y=0.999999D0
ENDIF
c EQN 3 ZETA
Z = GAMMA + DELTA*LOG(Y/(1.0d0-Y))
RETURN
ENTRY SF_DFZ5(DBHOB,HTTOT,h,DIBMOD,DIBACT,Z)
c SF_ZFD
c Find Z, given d.
c H In REAL*4 Section HTTOT (0<= h < HTTOT, h not= BH)
c DIBmod In Real*4 Base model prediction of dib (expectation)
c Z In Real*4 Standardized offset
c DIBact Out Real*4 Actual dib
IENTRY=2
if(abs(bh - h).lt. 1.0E-6) then
DIBact=DIBmod
RETURN
ENDIF
GO TO 20
c reverses the Sb transform
120 YLOGIT = (Z - GAMMA)/DELTA
Y = exp(ylogit)/(1.0D0 + exp(ylogit))
X = MU + LAMDA*Y
DIBact = X * DIBmod
RETURN
END
C********************************************************************
C********************************************************************
FUNCTION FDBT_C1(JSP,GEOSUB,DBHOB,HTTOT)
C********************************************************************
c given Diameter at breat height, outside bark
c calculate double bark thickness at breast height.
c NW Taper Coop Doug Fir (fit on APR 14, 1994)
c NW Taper Coop - Western Hemlock (fit on APR 14, 1994)
c NW Taper Coop - Red Cedar (fit on APR 14, 1994)
c COPYRIGHT J. Flewelling, 1994.
c DBHOB INPUT R*4 Diameter (o.b.) at Breast height (inches)
c HTTOT INPUT R*4 Total tree height (ft)
c FDBT_BH3 RETURNED R*4 Double bark thickness
CHARACTER*2 GEOSUB, GCODE(8)
INTEGER JSP, ID
real*4 ROFF(8),ROFF1(8), DMEDIAN, DFORM, RATIO
REAL DBHOB,HTTOT,D_USE
REAL FDBT_C1
DATA (GCODE(I),I=1,8)/'01','02','03','04','05','06','07','08'/
Data(ROFF(I),I=1,8)/
> 0.0, .117, .121, .133, .025, .028, .088, .028/
Data (ROFF1(I),I=1,8)/
> 0.0, .118, .204, .105, .058, .061, .118, .071 /
c Above offsets for CO EV NO RS SO WE WV WC(=WE)
c note: WV has no hemlock data; uses EV coefficient
c note: English-only on input and output
IF(JSP.EQ.3) THEN
DMEDIAN = .566*(HTTOT-4.5)**( .634 + .00074*HTTOT)
DFORM = DBHOB/DMEDIAN -1.0
40 if (GEOSUB.EQ.'00') then
RATIO = exp( -2.4641 + .04393*log(DBHOB) -.2922*dform
> +.05964 * DFORM*log(DBHOB))
else
DO 100, ID=1,8
IF(GCODE(ID).EQ.GEOSUB) THEN
RATIO = exp( -2.5087 + .03600*log(DBHOB) -.4086*dform
> +.10120* DFORM*log(DBHOB) +Roff(id))
ENDIF
100 CONTINUE
ENDIF
FDBT_C1 = RATIO*DBHOB
RETURN
ELSEIF(JSP.EQ.4) THEN
50 if (GEOSUB.EQ.'00') then
RATIO = .04504*(1.0 +0.8307*exp(-.2048*DBHOB))
else
DO 200, ID=1,8
IF(GCODE(ID).EQ.GEOSUB) THEN
RATIO = .04221*(1.0 +0.8836*exp(-.2145*DBHOB))
> *(1.0 + ROFF1(ID))
ENDIF
200 CONTINUE
ENDIF
C write(*,*)GEOSUB,DBHOB,ratio,DBHOB*ratio
FDBT_C1 = RATIO*DBHOB
RETURN
ELSEIF(JSP.EQ.5) THEN
D_USE = MAX(DBHOB, 3.8)
RATIO = 0.01949*( 1.0 + 15.599/D_USE -29.212/D_USE**2)
FDBT_C1 = RATIO*DBHOB
RETURN
ENDIF
RETURN
END
C********************************************************************
C**********************************************************************
FUNCTION BRK_WS(JSP,DBHOB,HTTOT,DBTBH,h)
C********************************************************************
c given a section height (h), calculate the ratio:
c DBT/DOB
c for Red Cedar. NW Taper Coop 4/15/94
c copyright, James Flewelling 1994
integer jsp
real DBHOB,HTTOT,DBTBH,h
real a1,a2,a3,a4,b2,FACTOR
real c1,c2,c3,c4,R1,T,H75,R
REAL E0,E1,E2,T1,TBH,X,XBH
REAL BRK_WS
data a1, a2, a3, a4, b2/ 1.8773 , -3.15524, -.06725 , 0.68229 ,
1 0.2553 /
data C1, C2, C3, C4/ 1.1309 , -2.021, -.03323 , 0.8167 /
IF(JSP.EQ.3) THEN
c Theory: t is a monotonic transformation of h, goverened by parm B2.
c r(t) is a quadratic function that takes on the value 1 at BH.
c t1 is the value of t where r(t) is at a minimum.
c r1 = r(t1)
c adjusted r = specified above + correction in upper 25% of stem.
c DBT/DOB = [ DBT/DOB at breast height] * [ adjusted r]
c write(*,*)' ws',DBHOB,HTTOT,h
E2 = .51705 + 0.483*exp(-.251*DBHOB)
T1 = .6406 + 0.0512*(1. - exp(-.0201*DBHOB))
TBH =(4.5/HTTOT)**E2
R1 = .6294 + 0.7901*exp(-0.3*DBHOB)