# [R] Append multiple optim result with a loop (or apply?)

Guillaume Théroux Rancourt Guillaume.Theroux-Rancourt at fsaa.ulaval.ca
Sat Feb 6 00:48:56 CET 2010

```Hello R-helpers,

Thanks to Ravi Varadhan, I have improve the function I am working on top optimize two equations. Now, my objective is to do a series of optimization from a data table, where each row is one data serie (i.e data from one plant) to be optimized.

The function below works up to the for loops. Before that, it outputs the desired values. However, what I want to do is to loop the function (fun() in this case) where each of the loop should optimize the functions using the ith elements. I am working with a data table, so each of the elements that are used in the testF (below) are vectors, since each of them are columns of the data table.
I am new at writing function and looping, and ?for and ?apply did not help me understand my error, as well as R help etc. I was wondering if the apply family functions could be of any help here.

Also, I might not be handling my data correctly (is the data frame correct or should I convert the data into a matrix?). Any improvement is warmly welcome.

Guillaume

Guillaume Théroux Rancourt
Ph.D. candidate --- Plant Biology
guillaume.theroux-rancourt.1 at ulaval.ca

#####

Here is my complete code:

testF = function(A.a, A.b, Ci.a, Ci.b, O.a, O.b, Rd, Sco, id)
{

fun=function(x) {

f=function(x) {

Vcmax = x
gi = x

# First
f.1=(-((Vcmax-Rd)/gi+Ci.a+272.38*(1+O.a*10/165.82))+sqrt(((Vcmax-Rd)/gi+Ci.a+272.38*(1+O.a*10/165.82))^2-4*(-1/gi)*(Rd*(Ci.a+272.38*(1+O.a*10/165.82))-Vcmax*(Ci.a-(5*O.a/Sco)))))/(-2/gi)

if (is.nan(f.1)) f.1 = 1e30

# Second
f.2=(-((Vcmax-Rd)/gi+Ci.b+272.38*(1+O.b*10/165.82))+sqrt(((Vcmax-Rd)/gi+Ci.b+272.38*(1+O.b*10/165.82))^2-4*(-1/gi)*(Rd*(Ci.b+272.38*(1+O.b*10/165.82))-Vcmax*(Ci.b-(5*O.b/Sco)))))/(-2/gi)

if (is.nan(f.2)) f.2 = 1e30

# Verification with measured A values
y.1 = A.a - f.1
y.2 = A.b - f.2

y = y.1^2 + y.2^2

return(y)
}

res <- optim(par=c(0.15,50), fn=f, lower=c(0,0), upper=c(1,250), method="L-BFGS-B")

output = data.frame(res\$par,res\$par)
colnames(output) = c("Vcmax", "gi")

return(output)

}

# Looping

n = length(A.a)

for (i in 1:n) {
A.a = A.a[i]
A.b = A.b[i]
Ci.a = Ci.a[i]
Ci.b = Ci.b[i]
O.a = O.a[i]
O.b = O.b[i]
Rd = Rd[i]
Sco = Sco[i]

fn = fun(i)
fn
}

}

#### SAMPLE DATA
O.21	A.21	Ci.21	O.2	A.2	Ci.2	O.10	A.10	Ci.10	Vcmax	Rd	gi	Gamma.s	Sco	Ci.s
1	21	7.478326633	164.6573484	2	12.73133946	164.3076501	10	10.52935048	161.6103191	64.48	0.89189	0.2835	40.3	2.605459057	37.15400353
2	21	5.797166726	162.4292412	2	11.12480648	165.8296147	10	8.704447278	165.0450986	53.232	0.9703	0.22335	40.3	2.605459057	35.95569734