Advantage of switch over if-else statement

For the special case that you've provided in your example, the clearest code is probably:

if (RequiresSpecialEvent(numError))
    fire_special_event();

Obviously this just moves the problem to a different area of the code, but now you have the opportunity to reuse this test. You also have more options for how to solve it. You could use std::set, for example:

bool RequiresSpecialEvent(int numError)
{
    return specialSet.find(numError) != specialSet.end();
}

I'm not suggesting that this is the best implementation of RequiresSpecialEvent, just that it's an option. You can still use a switch or if-else chain, or a lookup table, or some bit-manipulation on the value, whatever. The more obscure your decision process becomes, the more value you'll derive from having it in an isolated function.

Use switch.

In the worst case the compiler will generate the same code as a if-else chain, so you don't lose anything. If in doubt put the most common cases first into the switch statement.

In the best case the optimizer may find a better way to generate the code. Common things a compiler does is to build a binary decision tree (saves compares and jumps in the average case) or simply build a jump-table (works without compares at all).