#'Estimates growth based on the Elliott 1995 model adjusted to have asymptotic growth following Borsuk et al 2006 Ecological Modelling
#'
#'@param w0 is the starting weight in g
#'@param temp is the temperature for the growth period
#'@param t is frequency of temperature measurements (i.e., duration of growth increments)
#'@export
elliottGrowth<-function(w0,temps,dur=1/24){
Tl<-3.56 #se = =0.04
Tm<-13.11 # se = 0.03
Tu<-19.48 # se = 0.04
h<-0.308 #0.002
g<-2.80 #0.02
wInf<-3133.8
w<-rep(as.numeric(NA),length(temps)+1)
w[1]<-w0
for(i in 1:length(temps)){
if(temps[i]<Tl|temps[i]>Tu){w[i+1]<-w[i]
} else {
if(temps[i]<=Tm){w[i+1]<-(w[i]^h+(h*g*(1-w[i]/wInf)*(temps[i]-Tl)*dur)/
(100*(Tm-Tl)))^(1/h)
} else {
w[i+1]<-(w[i]^h+(h*g*(1-w0/wInf)*(temps[i]-Tu)*dur)/
(100*(Tm-Tu)))^(1/h)
}}
}
wFinal<-w[i]
return(wFinal)
}
getElliottGrowth<-function(time1,time2,weights,tempData){
wExp<-rep(as.numeric(NA),length(time1))
for(i in 2:length(time1)){
wExp[i]<-elliottGrowth(weights[i-1],tempData[time1[i]:time2[i],temperature])
}
return(wExp)
}
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