That is a really great answer thank you!!
"because WGS and exome data have very different error modes." - I had a feeling this would be the problem.
"apply more stringent filters to anything that is not concordant" - That makes a lot of sense. Good idea.
Ok thanks. I am merging the exome data and the WGS data across samples separately.
By the way do you have any feel for number of samples needed to apply Variant Quality Score Recalibration to the WGS? I found a couple of sources in the GATK documentation saying at least 30 samples for the exome (and to pad out with 1000 Genomes data if you have less). What I've read seems to suggest that on WGS even a single sample is ok.. but is there a practical minimum?