The carbon tax has its critics — do any of them have better ideas?

What would Canada be doing to reduce its carbon emissions if Pierre Poilievre and the premiers had their way?

The Conservative leader has vowed loudly and often that he would repeal the federal carbon tax — though he has been evasive when asked whether he also would eliminate the federally mandated carbon price for industrial emitters. He is now joined by seven premiers who would like to see the carbon tax either frozen at its current rate or scrapped entirely.

Not to be outdone, Ontario Liberal Leader Bonnie Crombie now says she wouldn't implement a provincial carbon tax, while New Brunswick Liberal Leader Susan Holt says she opposes increasing the federal tax. That at least suggests federal Liberals can't expect much support from those provinces if Crombie and Holt win power.

It's obviously telling that so many political leaders have calculated they're now better off taking a position against the carbon tax. The sheer extent of that opposition does not bode well for Justin Trudeau's Liberal government.

But opposing the federal carbon tax is also a relatively easy thing to do — particularly when you're not responsible for explaining how Canada will do its part to reduce global greenhouse gas emissions.

Canada currently is committed to reducing its greenhouse gas emissions by between 40 and 45 per cent below 2005 levels by 2030. If all planned policies are implemented, Canada could be in sight of reaching that target.

But that national target obscures significant disparities between provinces.

Important actions at the provincial level in years past — British Columbia's adoption of a carbon tax in 2008, Quebec's move to a cap-and-trade system in 2013, the phaseout of coal-fired electricity generation in Ontario and Alberta — have helped to stabilize emissions in Canada. But an analysis published by the Canadian Climate Institute last fall concluded that "if you add up [all of the provinces and territories'] formal emissions reduction targets, they amount to less than half the national target."

Several provinces — including British Columbia and Quebec — have targets that meet or exceed the federal goal. Five provinces have written their targets into law. But three provinces — Alberta, Saskatchewan and Manitoba, which together account for 51 per cent of Canada's total emissions — don't have overall targets. After coming to office in 2018, the Ontario government weakened its target and is now aiming to reduce its emissions by just 30 per cent.

Such large differences complicate the argument that the federal government should defer to provincial governments on climate policy. But because climate policy is viewed largely as a federal issue in Canada, provincial politicians can point in Ottawa's direction whenever they want to assign blame or responsibility elsewhere.

The Liberals may have undermined their own arguments for the carbon tax when they granted an exemption for home heating oil. And if the carbon tax eventually dies, the post-mortem inevitably will focus on whether the policy was fatally wounded by poor communication.

But the debate over the carbon tax continues to be conducted in a vacuum. If the carbon tax disappeared tomorrow, it's not clear what, if anything, would replace it. It's also not clear how that replacement might affect household budgets, the national economy and Canada's greenhouse gas emissions.

While the Liberals tend to focus on reporting by the parliamentary budget officer that indicated the vast majority of households receive more from the rebate than they pay in additional costs created by the carbon tax, the Conservatives prefer to focus on a PBO report that includes the larger economic costs of putting a price on carbon. When those costs are included, the carbon tax appears not to fare as well.

But the PBO's economic analysis is another casualty of the political vacuum in which the carbon tax is being debated. In addition to not considering the economic benefits of reducing emissions, the PBO does not measure the carbon tax against any other policy.