Most of the GNR officers if not all of them speak about Jane and her seeing a man carrying a child. One of them thinks that because it was dark and Jane couldn't give much of a description of the man but decribes the pyjamas this wasn't a credible sighting.
Another says because the sighting had already been given he did nothing about what Jane had said.
There is a lot of talk of searching, lorries etc. yet not one of them thought to knock on the doors of the houses where Jane said she saw her man heading towards. Murat even says he was still up when he heard sirens. I'm sorry but to me this just beggars belief.
As to how many Police I would assign to the task of door to door, as many as it took.
At a first estimate, there are perhaps 2,000 properties in eastern Luz, the direction of Tannerman.
So 'as many as it took' is how many? From where are you getting this enormous reserve of manpower? Would you halt the next day searches that were carried out on a woke-and-wandered basis? Would you stop all of the other 'normal' police activities in the western Algarve to resource your door-to-door priority?
I am going to assume you have never visited Luz and consequently you have no idea just how impractical your idea is. If you ever make to this neck of the woods, let me know. I'll be happy to take you around the area, and let you decide for yourself if you still think it can be done.