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Fixed or random?

To: s-news@lists.biostat.wustl.edu
Subject: Fixed or random?
From: Luís Reino <luisreino@isa.utl.pt>
Date: Sun, 19 Feb 2006 16:17:23 +0000
I am trying to use mixed effects model with lme function in S-Plus 2000.
I will try to explain my sampling design:
I want to study the impact of afforestation on the abundance of one bird species in adjacent agricultural habitats. So, I selected 52 forest patches with an adjacent fallow field (agricultural habitat). In order to evaluate the variation in abundances with increasing distance from the forest edge, the bird counts were undertaken as follows:

1) for each SITE (forest + adjacent fallow) we performed 4 point counts along a transect radiating from the forest edge, with the first one located at the forest border and the other ones spaced at 100 m intervals (100, 200, 300m); this was coded as a continuous variable (Dist)

2) I have three main types of forest (eucalyptus, pinewoods and oakwoods), which were coded as two dummy variables (X1 and X2); 3) I also have landscape context variables (e.g., proportional cover by potentially suitable habitat within a 1km buffer from the transect; coded as a continuous variable A), which have the same value for all distance classes within each of the 52 transects.

Again, I'm interested in understanding if bird abundances changed with increasing distance from the forest edge, and whether such variation is influenced by forest type and landscape context.

I'm not sure how to specify such design. Presently I'm using the following model, though I don't know whether this is correct or not

model<-lme(abundance~Dist+X1+X2+A+X1xDist+X2xDist+AxDist, random=~1 | Site, data=file)

My main question is whether Dist should also be used as a random component, because all Dist values within each site have the same values of X1, X2 and A.

best regards,

Luis Reino




-------------------------------------------------------
Luís Miguel Reino
Centro de Estudos Florestais
Departamento de Engenharia Florestal
Instituto Superior de Agronomia
Tapada da Ajuda
1349-017 Lisboa
Portugal


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