If you’re concerned on which option hold up much better when used frequently, concrete is your best bet. Asphalt deteriorates a lot sooner than concrete, but that’s only when you use asphalt a lot more frequently. Asphalt also substantially detracts your home’s value.
If you live in a warmer climate, such as here in Florida, then your best bet would be concrete because asphalt tends to soften on hot days and concrete remains hard. On the contrary, if you live in a place where climate fluctuates between hot and cold throughout the year, keep in mind that asphalt flexibility reduces the likelihood of cracking during temperature extremes. Concrete, which is more rigid, has a higher likelihood of cracking during temperature extremes. The advantage of concrete during warmer temperatures is that it does not absorb heat as readily as asphalt, while asphalt absorbs heat very well.