Description Usage Arguments Value Author(s) References See Also Examples

This function creates a model for three pools connected in series. It is a wrapper for the more general function `GeneralModel`

.

1 2 | ```
ThreepSeriesModel(t, ks, a21, a32, C0, In, xi = 1, solver = deSolve.lsoda.wrapper,
pass = FALSE)
``` |

`t` |
A vector containing the points in time where the solution is sought. |

`ks` |
A vector of lenght 3 containing the values of the decomposition rates for pools 1, 2, and 3. |

`a21` |
A scalar with the value of the transfer rate from pool 1 to pool 2. |

`a32` |
A scalar with the value of the transfer rate from pool 2 to pool 3. |

`C0` |
A vector of length 3 containing the initial amount of carbon for the 3 pools. |

`In` |
A scalar or data.frame object specifying the amount of litter inputs by time. |

`xi` |
A scalar or data.frame object specifying the external (environmental and/or edaphic) effects on decomposition rates. |

`solver` |
A function that solves the system of ODEs. This can be |

`pass` |
if TRUE Forces the constructor to create the model even if it is invalid |

A Model Object that can be further queried

Carlos A. Sierra <csierra@bgc-jena.mpg.de>, Markus Mueller <mamueller@bgc-jena.mpg.de>

Sierra, C.A., M. Mueller, S.E. Trumbore. 2012. Models of soil organic matter decomposition: the SoilR package version 1.0. Geoscientific Model Development 5, 1045-1060.

`ThreepParallelModel`

, `ThreepFeedbackModel`

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 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 | ```
t_start=0
t_end=10
tn=50
timestep=(t_end-t_start)/tn
t=seq(t_start,t_end,timestep)
ks=c(k1=0.8,k2=0.4,k3=0.2)
C0=c(C10=100,C20=150, C30=50)
In = 50
Ex1=ThreepSeriesModel(t=t,ks=ks,a21=0.5,a32=0.2,C0=C0,In=In,xi=fT.Q10(15))
Ct=getC(Ex1)
Rt=getReleaseFlux(Ex1)
plot(t,rowSums(Ct),type="l",ylab="Carbon stocks (arbitrary units)",
xlab="Time (arbitrary units)",lwd=2,ylim=c(0,sum(Ct[1,])))
lines(t,Ct[,1],col=2)
lines(t,Ct[,2],col=4)
lines(t,Ct[,3],col=3)
legend("topright",c("Total C","C in pool 1", "C in pool 2","C in pool 3"),
lty=c(1,1,1,1),col=c(1,2,4,3),lwd=c(2,1,1,1),bty="n")
plot(t,rowSums(Rt),type="l",ylab="Carbon released (arbitrary units)",
xlab="Time (arbitrary units)",lwd=2,ylim=c(0,sum(Rt[1,])))
lines(t,Rt[,1],col=2)
lines(t,Rt[,2],col=4)
lines(t,Rt[,3],col=3)
legend("topright",c("Total C release","C release from pool 1",
"C release from pool 2","C release from pool 3"),
lty=c(1,1,1,1),col=c(1,2,4,3),lwd=c(2,1,1,1),bty="n")
Inr=data.frame(t,Random.inputs=rnorm(length(t),50,10))
plot(Inr,type="l")
Ex2=ThreepSeriesModel(t=t,ks=ks,a21=0.5,a32=0.2,C0=C0,In=Inr)
Ctr=getC(Ex2)
Rtr=getReleaseFlux(Ex2)
plot(t,rowSums(Ctr),type="l",ylab="Carbon stocks (arbitrary units)",
xlab="Time (arbitrary units)",lwd=2,ylim=c(0,sum(Ctr[1,])))
lines(t,Ctr[,1],col=2)
lines(t,Ctr[,2],col=4)
lines(t,Ctr[,3],col=3)
legend("topright",c("Total C","C in pool 1", "C in pool 2","C in pool 3"),
lty=c(1,1,1,1),col=c(1,2,4,3),lwd=c(2,1,1,1),bty="n")
plot(t,rowSums(Rtr),type="l",ylab="Carbon released (arbitrary units)",
xlab="Time (arbitrary units)",lwd=2,ylim=c(0,sum(Rtr[1,])))
lines(t,Rtr[,1],col=2)
lines(t,Rtr[,2],col=4)
lines(t,Rtr[,3],col=3)
legend("topright",c("Total C release","C release from pool 1",
"C release from pool 2","C release from pool 3"),
lty=c(1,1,1,1),col=c(1,2,4,3),lwd=c(2,1,1,1),bty="n")
``` |

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