I know you've already said it's not very helpful, but if you close up your network, even for a day, he or she will get the message.
They mightn't even be intentionally using your wifi. When I got my laptop from work, I was pleasantly surprised that I was connected wirelessly to my wireless router with hardly any configuration. It was only after I'd been using it for a while that I realised I should have had to set up the WPA password, and checking the wireless config that I found the laptop had automatically connected to an unsecured neighbours wifi. Hmm, just checked, they are still open.