If West is replaced by South-West, then North will be replaced by:

Let's track the rotational shift on a standard compass dial:
1. The standard sequence of cardinal and intercardinal directions running clockwise is North $\to$ North-East $\to$ East $\to$ South-East $\to$ South $\to$ South-West $\to$ West $\to$ North-West.
2. The problem states that "West is replaced by South-West". This indicates the entire directional framework is rotated counter-clockwise by exactly $45^{\circ }$.

Applying this same counter-clockwise rotation of $45^{\circ }$ to find what replaces North:

* Moving $45^{\circ }$ counter-clockwise from North brings us to North-West.

Therefore, North will be replaced by North-West.