89: Implementation of a three-pool C14 model with series...

Description Usage Arguments Value Author(s) See Also Examples

Description

This function creates a model for three pools connected in series. It is a wrapper for the more general function GeneralModel_14 that can handle an arbitrary number of pools.

Usage

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ThreepSeriesModel14(t, ks, C0, F0_Delta14C, In, a21, a32, xi = 1, 
    inputFc, lambda = -0.0001209681, lag = 0, solver = deSolve.lsoda.wrapper, 
    pass = FALSE)

Arguments

t

A vector containing the points in time where the solution is sought. It must be specified within the same period for which the Delta 14 C of the atmosphere is provided. The default period in the provided dataset C14Atm_NH is 1900-2010.

ks

A vector of length 3 containing the decomposition rates for the 3 pools.

C0

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

F0_Delta14C

A vector of length 3 containig the initial amount of the radiocarbon fraction for the 3 pools.

In

A scalar or a data.frame object specifying the amount of litter inputs by time.

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 as Delta14C values in per mil.

xi

A scalar or a data.frame specifying the external (environmental and/or edaphic) effects on decomposition rates.

inputFc

A Data Frame object containing values of atmospheric Delta14C per time. First column must be time values, second column must be Delta14C values in per mil.

lambda

Radioactive decay constant. By default lambda=-0.0001209681 y^-1 . This has the side effect that all your time related data are treated as if the time unit was year.

lag

A positive scalar representing a time lag for radiocarbon to enter the system.

solver

A function that solves the system of ODEs. This can be euler or ode 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

Value

A Model Object that can be further queried

Author(s)

Carlos A. Sierra <[email protected]>, Markus Mueller <[email protected]>

See Also

ThreepParallelModel14, ThreepFeedbackModel14

Examples

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years=seq(1901,2009,by=0.5)
LitterInput=700 

Ex=ThreepSeriesModel14(
  t=years,ks=c(k1=1/2.8, k2=1/35, k3=1/100),
  C0=c(200,5000,500), F0_Delta14C=c(0,0,0),
  In=LitterInput, a21=0.1, a32=0.01,inputFc=C14Atm_NH
)
R14m=getF14R(Ex)
C14m=getF14C(Ex)
C14t=getF14(Ex)

par(mfrow=c(2,1))
plot(C14Atm_NH,type="l",xlab="Year",
     ylab="Delta 14C (per mil)",xlim=c(1940,2010)) 
lines(years, C14t[,1], col=4)
lines(years, C14t[,2],col=4,lwd=2)
lines(years, C14t[,3],col=4,lwd=3)
legend(
  "topright",
  c("Delta 14C Atmosphere", "Delta 14C pool 1", "Delta 14C pool 2", "Delta 14C pool 3"),
  lty=rep(1,4),col=c(1,4,4,4),lwd=c(1,1,2,3),bty="n")

plot(C14Atm_NH,type="l",xlab="Year",ylab="Delta 14C (per mil)",xlim=c(1940,2010)) 
lines(years,C14m,col=4)
lines(years,R14m,col=2)
legend("topright",c("Delta 14C Atmosphere","Delta 14C SOM", "Delta 14C Respired"),
       lty=c(1,1,1), col=c(1,4,2),bty="n")
par(mfrow=c(1,1))

SoilR documentation built on May 1, 2019, 8:06 p.m.