Collision-resistance is a stronger requirement because it directly implies (second) presecond-imagepreimage resistance. This is because a presecond-imagepreimage attack is essentially a collision attack in which one of the collision pair's hash values is fixed and a corresponding input is known, and could have well been chosen by the attacker itself.
The more intuitive explanation is collision-resistance refers to the general case, whereas (second) presecond-imagepreimage resistance considers specific hashinput values (or inputs). It could be, for instance, that particularthe hash values of a particular subset of inputs are easier to invert than others; with collision-resistance, they are hard to invert in general.