Description Usage Arguments Value Author(s) See Also Examples
Computes the density distribution and mean for the system and pool ages of a SoilR model or a matrix representation of a compartmental model
1 |
A |
A compartmental linear square matrix with cycling rates in the diagonal and transfer rates in the off-diagonal. |
u |
A one-column matrix defining the amount of inputs per compartment. |
a |
A sequence of ages to calculate density functions |
A list with 4 objects: mean system age, system age distribution, mean pool-age, and pool-age distribution.
Carlos A. Sierra, Markus Mueller
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | # Gaudinski model
ks = c(kr = 1/1.5, koi = 1/1.5, koeal = 1/4, koeah = 1/80,
kA1 = 1/3, kA2 = 1/75, kM = 1/110)
A = -abs(diag(ks))
A[3, 2] = ks[2] * (98/(3 + 98 + 51))
A[4, 3] = ks[3] * (4/(94 + 4))
A[6, 5] = ks[5] * (24/(6 + 24))
A[7, 6] = ks[6] * (3/(22 + 3))
A[7, 2] = ks[2] * (3/(3 + 98 + 51))
A[4, 1] = ks[1] * (35/(35 + 190 + 30))
A[5, 1] = ks[1] * (30/(35 + 190 + 30))
LI = 150 #Litter inputs
RI = 255 #Root inputs
In=matrix(nrow = 7, ncol = 1, c(RI, LI, 0, 0, 0, 0, 0))
ages=seq(0,200)
ga=systemAge(A=A, u=In, a=ages)
plot(ages, ga$systemAgeDensity, type="l")
abline(v=ga$meanSystemAge, lty=2)
legend("topright",c("System Age density",
paste("Mean system age = ",ga$meanSystemAge)),
lty=1:2, bty="n")
pools=c("Roots", "Oi", "Oe/a L", "Oe/a H", "A, LF (>80 um)",
"A, LF (< 80 um)", "Min. Ass.")
par(mfrow=c(3,2))
for(i in 2:7){
plot(ages,ga$poolAgeDensity[,i],type="l", main=pools[i],
ylab="Probability density", xlab="Age", bty="n")
}
par(mfrow=c(1,1))
|
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.