Here is a thread I found on this 
issue:http://www.mail-archive.com/r-sig-ecology@r-project.org/msg00755.html 
It's not a simple correlation apparently, but I can't figure out how they get 
the output from envfit using lm(Y ~ scores1 + scores2). 

You can plot the data like:
library(MASS); require(vegan)
data(varespec) 
data(varechem) 
ord <- metaMDS(varespec) 
fit <- envfit(ord, varechem)
plot(ord)
plot(fit)


On Tuesday, May 10, 2011 at 3:51 PM, Songer, Katherine B - DNR wrote: 
> Hello R experts,
> 
> I've used metaMDS to run NMDS on some fish abundance data, and am also 
> working on correlating environmental data to the NMDS coordinates. I'm fairly 
> new to metaMDS and NMDS in general, so I have what are probably some very 
> basic questions. My fish abundance data consists of 66 sites for which up to 
> 20 species of fish were identified and counted. I ran metaMDS on this data in 
> 3 dimensions (after using a scree plot to check for stress levels in the 
> different dimensions). I then used envfit to correlate a predictor dataset of 
> environmental variables with the NMDS results, using the following code.
> 
> > Fish<-as.data.frame(read.csv("Fish.csv",header=TRUE, sep = ","))
> > Fish.mds<-metaMDS(Fish,zerodist = "add",k=3,trymax=20)
> 
> > Predictors<-as.data.frame(read.csv("Predictors.csv",header=TRUE, sep = ","))
> > Fish.fit <- envfit(Fish.mds$points, Predictors, k=3, 1000, na.rm = TRUE)
> > Fish.fit
> 
> The output of Fish.fit was as follows (table truncated):
> 
>  Dim1 Dim2 r2 Pr(>r)
> DrainArea -0.5923233 -0.8057004 0.7674 0.000999 ***
> Flow -0.5283236 -0.8490431 0.7847 0.000999 ***
> StrmWidth -0.6993457 -0.7147836 0.6759 0.000999 ***
> Gradient 0.4541225 0.8909392 0.2085 0.010989 *
> 
> I'd like to better understand how to read this table. I understand that Dim1 
> and Dim2 refer to the dimensions of the vectors produced by envfit, and r2 is 
> the r-squared of those vectors. But how do I visualize these vectors in a 3-d 
> plot? To which of the 3 NMDS dimensions are these vectors being correlated? 
> Is there code to produce the x, y, and z coordinates of each of the sites in 
> Fish.mds?
> 
> Thanks very much.
> Katie
> 
> 
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> 
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