| Type: | Package |
| Title: | Estimates, Plots and Evaluates Leaf Angle Distribution Functions, Calculates Extinction Coefficients |
| Version: | 1.0 |
| Date: | 2017-6-19 |
| Author: | Wei-Min Wang <wmwang@gmail.com> |
| Maintainer: | Wei-Min Wang <wmwang@gmail.com> |
| Description: | Leaf angle distribution is described by a number of functions (e.g. ellipsoidal, Beta and rotated ellipsoidal). The parameters of leaf angle distributions functions are estimated through different empirical relationship. This package includes estimations of parameters of different leaf angle distribution function, plots and evaluates leaf angle distribution functions, calculates extinction coefficients given leaf angle distribution. Reference: Wang(2007)<doi:10.1016/j.agrformet.2006.12.003>. |
| License: | GPL-2 | GPL-3 [expanded from: GPL] |
| Imports: | stats |
| RoxygenNote: | 6.0.1 |
| NeedsCompilation: | no |
| Packaged: | 2017-06-20 01:23:08 UTC; Administrator |
| Repository: | CRAN |
| Date/Publication: | 2017-06-20 06:29:21 UTC |
Compute the Beta distribution of leaf zenith angle.
Description
Compute the Beta distribution of leaf zenith angle.
Usage
BetaDis(meu, neu)
Arguments
meu |
One of the parameters for Beta function. |
neu |
One of the parameters for Beta function. |
Value
The Beta distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-BetaDis(1.616,2.188)
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Leaf angle distribution measurements provided by D.S. Falster
Description
Leaf angle distribution data measured in two sites of Ku-ringgai Chase National Park, Sydney, Australia and provided by Dr. D.S. Falster of Macquarie University, Australia
Usage
data(Falster)
Format
A list with 39 arrays where one array for tree specy name and 38 array of leaf angle distribution for each specy.
Details
Leaf angle distribution measurements provided by D.S. Falster
Author(s)
W.-M. Wang (wmwangATgmail.com)
Source
Falster, D. and Westoby, M., 2003. Leaf size and angle vary widely across species: what consequences for light interception? New Phytol.158, 509-525.
Examples
data(Falster)
Falster[1]
Retrieve the density of leaf area given leaf angle measurements.
Description
Retrieve the density of leaf area given leaf angle measurements.
Usage
LADdensity(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
Leaf area density given leaf angle intervals (0,10,20,30,40,50,60,70,80,90).
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Falster)
LADdensity(Falster[[2]])
Leaf angle distribution measurements provided by Jan Pisek
Description
Leaf angle distribution data provided by Dr. Tartu Observatory, Department of Remote Sensing, Estonia
Usage
data(Pisek)
Format
A list with 55 arrays where one array for tree specy name and 54 array of leaf angle distribution for each specy.
Details
Leaf angle distribution measurements provided by Jan Pisek
Author(s)
W.-M. Wang (wmwangATgmail.com)
Source
Pisek, Jan, et al. "Is the spherical leaf inclination angle distribution a valid assumption for temperate and boreal broadleaf tree species?." Agricultural & Forest Meteorology 169.3(2013):186-194.
Examples
data(Pisek)
Pisek[1]
Compute the parameter of Beta function given leaf angle distribution mearuements.
Description
Compute the parameter of Beta function given leaf angle distribution mearuements.
Usage
computeBeta(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
The two parameters of Beta function given leaf angle distribution mearuements.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Pisek)
computeBeta(Pisek[[2]])
Compute the mean projection of unit leaf area on the plane perpendicular to beam direction, namely, G parameter.
Description
Compute the mean projection of unit leaf area on the plane perpendicular to beam direction, namely, G parameter.
Usage
computeG(LeafAngleZ, FractionZ, LeafAngleA, FractionA, theta, alpha)
Arguments
LeafAngleZ |
The center angles list of leaf zenith angle intervals. |
FractionZ |
The leaf area fraction list given leaf zenith angle intervals list. |
LeafAngleA |
The center angles list of leaf azimuth angle intervals. |
FractionA |
The leaf area fraction list given leaf azimuth angle intervals list. |
theta |
The zenith angle of beam direction. |
alpha |
The azimuth angle of beam direction. |
Value
The mean projection of unit leaf area on the plane perpendicular to beam direction, namely, G value.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
angleZ<-c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5)
angleA<-c(10,30,50,70,90,110,130,150,170,190,210,230,250,270,290,310,330,350)
sADis<-sysAziDis()
sZDis<-sphericalDis()
for(solarZenith in 10:80)
{
print(computeG(angleZ,sZDis,angleA,sADis,solarZenith,40))
}
Compute the G value given lamda (the parameter of ellipsoidal function) and beam direction.
Description
Compute the G value given lamda (the parameter of ellipsoidal function) and beam direction.
Usage
computeGEllip(lambda, theta)
Arguments
lambda |
The parameter of ellipsoidal function given leaf angle distribution mearuements. |
theta |
The zenith angle of beam direction. |
Value
The G value.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
computeGEllip(1.0, 30)
Compute the parameter of ellipsoidal function given leaf angle distribution mearuements.
Description
Compute the parameter of ellipsoidal function given leaf angle distribution mearuements.
Usage
computeLambda(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
The parameter of ellipsoidal function given leaf angle distribution mearuements.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Pisek)
computeLambda(Pisek[[2]])
Compute the parameter of rotated-ellipsoidal function given leaf angle distribution mearuements.
Description
Compute the parameter of rotated-ellipsoidal function given leaf angle distribution mearuements.
Usage
computeLambdaR(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
The parameter of ellipsoidal function given leaf angle distribution mearuements.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Pisek)
computeLambdaR(Pisek[[2]])
Compute the fraction of sunlit folige given solar position, LAI and G value with the assumption of the symmetric distribution of leaf azimuth angle.
Description
Compute the fraction of sunlit folige given solar position, LAI and G value with the assumption of the symmetric distribution of leaf azimuth angle.
Usage
computeSunlit(Theta, G, LAI)
Arguments
Theta |
Solar zenith angle. |
G |
The G value, namely the projection of foliage area. |
LAI |
Leaf area index. |
Value
The fraction of sunlit foliage.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
computeSunlit(30, 0.5, 2.0)
Compute the parameter of Verhoef's leaf angle distribution given leaf angle mearuements.
Description
Compute the parameter of Verhoef's leaf angle distribution given leaf angle distribution mearuements.
Usage
computeTrig(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
The two parameters of Verhoef's leaf angle distribution.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Pisek)
computeTrig(Pisek[[2]])
Compute the ellipsoidal distribution of leaf zenith angle.
Description
Compute the ellipsoidal distribution of leaf zenith angle.
Usage
ellipsoidalDis(lambda)
Arguments
lambda |
The parameter of ellipsoidal function. |
Value
The ellipsoidal distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-ellipsoidalDis(1)
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Compute the rotated ellipsoidal distribution of leaf zenith angle.
Description
Compute the rotated ellipsoidal distribution of leaf zenith angle.
Usage
ellipsoidalRDis(lambdaR)
Arguments
lambdaR |
The parameter of rotated-ellipsoidal function. |
Value
The rotated ellipsoidal distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-ellipsoidalRDis(1)
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Estimate the parameters of Beta distribution given leaf angle measurements.
Description
Estimate the parameters of Beta distribution given leaf angle measurements.
Usage
estBeta(LeafAngles)
Arguments
LeafAngles |
The leaf angle measurements. |
Value
the parameters of Beta distribution.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
angleZ<-c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5)
angleA<-c(10,30,50,70,90,110,130,150,170,190,210,230,250,270,290,310,330,350)
sADis<-sysAziDis()
sZDis<-sphericalDis()
for(solarZenith in 10:80)
{
print(computeG(angleZ,sZDis,angleA,sADis,solarZenith,40))
}
Compute the extremophile distribution of leaf zenith angle.
Description
Compute the extremophile distribution of leaf zenith angle.
Usage
extremophileDis()
Value
The extremophile distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-extremophileDis()
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of Beta function.
Description
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of Beta function.
Usage
interBeta(AngleLower, AngleUpper, meu, neu)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
meu |
One of the parameters for Beta function. |
neu |
One of the parameters for Beta function. |
Value
Compute the fraction leaf area of Beta function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interBeta(40,50,1.616,2.188)
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of ellipsoidal function.
Description
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of ellipsoidal function.
Usage
interEllip(AngleLower, AngleUpper, lambda)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
lambda |
The parameter of ellipsoidal function. |
Value
Compute the fraction leaf area of ellipsoidal function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interEllip(40,50,1.1)
Compute the fraction leaf area for rotated-ellipsoidal function given leaf angle intervals (in degree) and the parameters.
Description
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of rotated-ellipsoidal function.
Usage
interEllipR(AngleLower, AngleUpper, lambdaR)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
lambdaR |
The parameter of rotated-ellipsoidal function. |
Value
Compute the fraction leaf area of rotated-ellipsoidal function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interEllipR(40,50,1.1)
Compute the fraction leaf area of Erectophile distribution given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Erectophile distribution given leaf angle intervals (in degree).
Usage
interErectophile(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Erectophile function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interErectophile(40,50)
Compute the fraction leaf area of Extremophile distribution given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Extremophile distribution given leaf angle intervals (in degree).
Usage
interExtremophile(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Extremophile function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interExtremophile(40,50)
Compute the fraction leaf area of Plagiophile distribution given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Plagiophile distribution given leaf angle intervals (in degree).
Usage
interPlagiophile(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Plagiophile function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interPlagiophile(40,50)
Compute the fraction leaf area of Planophile distribution given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Planophile distribution given leaf angle intervals (in degree).
Usage
interPlanophile(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Planophile function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interPlanophile(40,50)
Compute the fraction leaf area of Spherical function given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Spherical function given leaf angle intervals (in degree).
Usage
interSpherical(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Spherical function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interSpherical(40,50)
Compute the fraction leaf area of Uniform distribution given leaf angle intervals (in degree).
Description
Compute the fraction leaf area of Uniform distribution given leaf angle intervals (in degree).
Usage
interUniform(AngleLower, AngleUpper)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
Value
Compute the fraction leaf area of Uniform function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
interUniform(40,50)
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of Verhoef's leaf angle distribution function.
Description
Compute the fraction leaf area given leaf angle intervals (in degree) and the parameters of Verhoef's leaf angle distribution function.
Usage
intervalTrig(AngleLower, AngleUpper, ap, bp)
Arguments
AngleLower |
The lower limit of leaf angle intervals in degree. |
AngleUpper |
The upper limit of leaf angle intervals in degree. |
ap |
One of the parameters of Verhoef's leaf angle distribution function. |
bp |
One of the parameters of Verhoef's leaf angle distribution function. |
Value
Compute the fraction leaf area of Verhoef's leaf angle distribution function.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
intervalTrig(40,50, -0.325, -0.173)
Compute the plagiophile distribution of leaf zenith angle.
Description
Compute the plagiophile distribution of leaf zenith angle.
Usage
plagiophileDis()
Value
The plagiophile distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-plagiophileDis()
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Compute the planophile distribution of leaf zenith angle.
Description
Compute the planophile distribution of leaf zenith angle.
Usage
planophileDis()
Value
The planophile distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-planophileDis()
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Plot the density of leaf area given leaf angle measurements.
Description
Plot the density of leaf area given leaf angle measurements.
Usage
plotdensity(LeafAngles, main = "Leaf angle distribution", type = "l",
pch = 20)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
main |
An overall title for the plot. |
type |
The type of plot. |
pch |
The symbol of plot. |
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Pisek)
plotdensity(Pisek[[2]])
Retrieve the density of leaf area given leaf angle measurements.
Description
Retrieve the density of leaf area given leaf angle measurements.
Usage
selectClassic(LeafAngles)
Arguments
LeafAngles |
The measurements of leaf angle distribution. |
Value
The classic leaf angle distribution type
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
data(Falster)
selectClassic(Falster[[2]])
Compute the spherical distribution of leaf zenith angle.
Description
Compute the spherical distribution of leaf zenith angle.
Usage
sphericalDis()
Value
The spherical distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-sphericalDis()
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")
Compute the symmetric distribution of leaf azimuth angle.
Description
Compute the symmetric distribution of leaf azimuth angle.
Usage
sysAziDis()
Value
The symmetric distribution of leaf azimuth angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
aDis<-sysAziDis()
plot(c(10,30,50,70,90,110,130,150,170,190,210,230,250,270,290,310,330,350), aDis,
xlab=expression(Leaf~azimuth~angle~~(""^"o")), ylab="Leaf area freqency")
Compute the uniform distribution of leaf zenith angle.
Description
Compute the uniform distribution of leaf zenith angle.
Usage
uniformDis()
Value
The uniform distribution of leaf zenith angle.
Author(s)
Wei-Min Wang (wmwang AT gmail.com)
References
Wang, W. M., Li, Z. L., & Su, H. B. (2007). Comparison of leaf angle distribution functions: effects on extinction coefficient and fraction of sunlit foliage. Agricultural and Forest Meteorology, 143(1), 106-122.
Examples
sDis<-sphericalDis()
plot(c(4.5, 13.5, 22.5, 31.5, 40.5, 49.5, 58.5, 67.5, 76.5, 85.5), sDis,
xlab=expression(Leaf~zenith~angle~~(""^"o")), ylab="Leaf area freqency")