https://en.wikipedia.org/wiki/Territory_(animal)
more than you ever need or want to know on this.
I have always wondered if the male had to do a round to freshen the marks - Kinda distance and time thing, and it is pretty obvious the distance is gonna be a circle. NOT the most efficient for packing males, a square / rectangle would be.
My dog found a chicken carcass under someone'w wall. and checked every day for 21 d to see if another had miraculously grown there. But this is food seeking rather than marking.
For those who have done and passed 11+ maff ; I suggest an obvious eqn (without tiresome derivation) for a time distance smell relation is :
.
∂2u/∂t2 = c2 ∂2u∂x2 and its solutions. ( 1 dimensional wave equation and er easily extended to two )
I should get out more