overdispersion in 'marked'

I used the 'marked' package in R to run a survival analysis for 20 years of data, where I had a large number of time-varying covariates. Can an estimate of c-hat (overdispersion) be obtained using 'marked'?
jlaake wrote:I am unaware of any methods for estimating c-hat with individual covariates....
...we don’t have a good method for testing t of models with individual covariates. For the moment, the recommended approach is to perform GOF testing on the most general model that does not include the individual covariates, and use the c-hat value for this general model on all of the other models, even those including individual covariates. If individual covariates will serve to reduce (or at least explain) some of the variation, then this would imply that the c-hat from the general model without the covariates is likely to be too high, and thus, the analysis using this c-hat will be ’somewhat conservative’.