Not in a desert since it was outside Jerusalem. And crucifixion was neither dehydration, nor bleeding to death but choking to death.
Strangely enough the Roman soldiers did not break his legs after a couple of hours for him not be able to support himself up and instead they pierce his chest with a spear though apparently on the wrong side to reach the heart.
All that is so confused and in March in this region we are far from the hot weather they would have in July.
Jacques