[R-sig-ME] glmmadmb random effects help

[Hacker, Greg (CDPH-CID-DCDC)]

Hello all,

I am hoping to get some expert guidance on an analysis I am attempting.  At the very least I hope you can tell me if I'm on the right track.  If I'm not, maybe you can nudge me in the right direction.

I have data that consists of repeated counts of ticks that were collected at 110 different sites around a portion of a reservoir. These 110 sites were grouped into 11 transects (I'm thinking nesting here).  The counts were collected monthly (although some months were missed) over 3 years (years = Oct-Sept to account for tick biology).  Along with this I have several continuous and categorical ecological variables (e.g., canopy coverage, dominant overstory/understory veg, average temp, relative humidity, aspect, etc...).  I'm hoping to create a candidate set of models that I can then use AIC (or something related) to determine the best fit.  In the end I'm hoping to have a model that can reasonably predict abundance of ticks based on a subset of environmental variables.

>From what I've read I have too few seasons to use as a random effect.  I believe the month, site, and transect variables should all be considered random effects, with site nested in transect.  However, site/transect is also crossed with month and season(fixed effect).  Below I have provided the output (minus the coefs for fixef) from the summary of my global model (at least the most complex model I could use without getting errors).

Call:
glmmadmb(formula = Tot_I_pac ~ SWave.max.temp + ave.rh + SWave.max.temp:ave.rh +
    Perc_Canopy + Dom.Overstory + Perc_Canopy * Dom.Overstory +
    Dom.Midstory + Dom.Understory + Aspect + Soil.Type + fSeason +
    (1 | Month) + (1 | fSite/fTrans), data = Ticks, family = "nbinom")

AIC: 7589

Number of observations: total=3190, Month=11, fSite=110, fSite:fTrans=110
Random effect variance(s):
Group=Month
            Variance StdDev
(Intercept)     18.8  4.336
Group=fSite
            Variance StdDev
(Intercept)   0.1429  0.378
Group=fSite:fTrans
            Variance StdDev
(Intercept)   0.1061 0.3257

Negative binomial dispersion parameter: 1.4 (std. err.: 0.096)

Log-likelihood: -3762

Does everything seem reasonable here? Does the way I wrote the random effects portion of the model relate to the description of the data?  Does this model take into account that month and the site/transect combination are crossed with season?  Finally, is the AIC score provided in the summary what should be used to rank the models or should it be ignored and calculated by hand (does the AICtab function utilize this score)?

Forgive me, I am only a wildlife biologist who knows only enough to get myself into trouble!  Thank you in advance for any advice folks can provide!

Cheers!

Greg

Greg Hacker
Biologist

Public Health Foundation Enterprises
California Department of Public Health
Vector-Borne Disease Section
8633 Bond Rd.,
Elk Grove, CA 95624





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