Randolph Herr talks of using PVC-E glue diluted with water.  I have
used this method for the last 20 years.  Here in the UK we have
"Evostik PVA", called "Resin W".  I believe it's the same stuff.

The beauty of it is that this glue doesn't dry completely, remaining
slightly flexible, allowing the timber to move without splitting the
seal.

John Page (UK)