How to fire a change event on a HTMLSelectElement if the new value is the same as the old?

I’d do it like this:

<select onchange="jsFunction()">
  <option value="" disabled selected style="display:none;">Label</option>
  <option value="1">1</option>
  <option value="2">2</option>
  <option value="3">3</option>
</select>

If you want you could have the same label as the first option, which in this case is 1.
Even better: put a label in there for the choices in the box.