SeriesLinearModel: General m-pool linear model with series structure

In SoilR: Models of Soil Organic Matter Decomposition

General m-pool linear model with series structure

Description

This function creates a model for m number of pools connected in series. It is a wrapper for the more general function GeneralModel.

Usage

SeriesLinearModel(
  t,
  m.pools,
  ki,
  Tij,
  C0,
  In,
  xi = 1,
  solver = deSolve.lsoda.wrapper,
  pass = FALSE
)

Arguments

t	A vector containing the points in time where the solution is sought.
m.pools	An integer with the total number of pools in the model.
ki	A vector of length m containing the values of the decomposition rates for each pool i.
Tij	A vector of length m-1 with the transfer coefficients from pool j to pool i. The value of these coefficients must be in the range [0, 1].
C0	A vector of length m containing the initial amount of carbon for the m 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 euler or deSolve.lsoda.wrapper or any other user provided function with the same interface.
pass	if TRUE Forces the constructor to create the model even if it is invalid

References

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.

See Also

There are other predefinedModels and also more general functions like Model.

Examples

#A five-pool model
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, k4=0.1,k5=0.05)
Ts=c(0.5,0.2,0.2,0.1)
C0=c(C10=100,C20=150, C30=50, C40=50, C50=10)
In = 50
#
Ex1=SeriesLinearModel(t=t,m.pools=5,ki=ks,Tij=Ts,C0=C0,In=In,xi=fT.Q10(15))
Ct=getC(Ex1)
#
matplot(t,Ct,type="l",col=2:6,lty=1,ylim=c(0,sum(C0)))
lines(t,rowSums(Ct),lwd=2)
legend("topright",c("Total C","C in pool 1", "C in pool 2","C in pool 3",
"C in pool 4","C in pool 5"),
lty=1,col=1:6,lwd=c(2,rep(1,5)),bty="n")

SoilR documentation built on Oct. 13, 2023, 5:06 p.m.