  We consider Bernoulli bond percolation on oriented regular trees, where
besides the usual short bonds, all bonds of a certain length are added.
Independently, short bonds are open with probability $p$ and long bonds are
open with probability $q$. We study properties of the critical curve which
delimits the set of pairs $(p,q)$ for which there are almost surely no infinite
paths. We also show that this curve decreases with respect to the length of the
long bonds.
