Yes, there's been lots of academic research done on the B.C. carbon tax. It's the perfect study that economists love to do, a nice case study. It's shown that emissions would have gone up much more without the carbon tax in there.
The example I use with my students is that I now weigh 10 pounds more than I did 10 years ago. If I weren't biking to work every day, I would probably weigh 20 pounds more. If I wanted to lose weight, I'd have to do more. I'd have to have a better diet and exercise even more. Those are options that are available to me, but because I've gained some weight, it doesn't mean that biking hasn't had any impact.
Without the carbon tax, we would have seen much higher increases, primarily driven by population growth in B.C. B.C. has been growing rapidly, so that means new construction, more vehicles, etc. The carbon price has helped temper that increase, but we need to have it higher to really start bringing emissions down.