When I was in my thirties, my dead lift was higher than my squat. After I turned forty, my dead lift max dropped fifty pounds while I broke my college age bench press personal best.
I dead lift on Thursdays, but on Tuesdays and Sundays I might do kettle ball swings, good mornings, power snatches, cleans, loaded carries, something that stimulates various muscles used in the dead lift without over taxing them. My dead lift has started rising again.
Keep in mind I also do a squat variation every day; until I get back down to my college weight, I'm doing as much leg work as the rest of my muscle groups combined because I think leg work is better for stimulating the metabolism and thus burning calories throughout the day.