By John D. Stoll 

The battle cry for the United Auto Workers' 2015 bargaining convention is summed up in these words: "No More Tiers."

The labor union, holding its quadrennial strategy conference in Detroit this week, is under pressure from its membership to address the pay gap between second-tier workers making an entry rate of $19 an hour, and traditional workers making $28. At auto factories spanning Michigan to Missouri, workers have taken to wearing red T-shirts with that three-word mantra written across the front.

The controversial two-tier pay structure was implemented in 2007 as Detroit's Big Three were struggling. It didn't have teeth over the first four years because tens of thousands of auto workers were laid off and two U.S. car companies went bankrupt.

But thousands of employees have been hired in the past four years at the lower wage as the industry has rebounded. In theory, those $19-an-hour workers are eligible to graduate to the higher wage, but that process can take a long time and many are uncertain if they'll ever get that $9 bump.

UAW officials will negotiate new deals with General Motors Co., Ford Motor Co. and Fiat Chrysler Automobiles LLC later this year. Many issues are in play, including pensions and health care, but UAW President Dennis Williams will be pressed to make good on his promise to "close the gap" between the tiers.

The UAW convention has long been a pep rally heading into negotiations, but Mr. Williams in a tough spot at this year's meeting.

If he doesn't take a hard line, his base will be demoralized. If he commits to abolishing the tiers, he paints himself into a corner before negotiating with Big Three executives uninterested in cost increases.

After decades of facing their own gap--a labor cost gulf of as much as $35 an hour vs. nonunionized competitors, such as Toyota Motor Corp.--GM, Ford and Chrysler's all-in U.S. compensation is close to parity with foreign rivals.

As the auto makers have added jobs at their U.S. plants, executives have been careful to cite lower labor costs as an incentive to invest. Going into negotiations, those executives will also remind Mr. Williams of how good the last four years have been for his membership.

Since the last Big Three labor deal was signed in 2011, GM, Ford and the Chrysler side of Fiat Chrysler have posted more than $70 billion in operating profit. UAW profit-sharing checks over that period have, as a result, been generous--averaging $7,500 a year at GM and Ford, and $2,250 at Chrysler.

When combined with other one-time payouts, such as quality bonuses, Ford has paid out $43,200 in special lump sums per worker over four years, while GM has paid $39,250. Over the life of the agreement, these record bonus payouts equate to more than a $5.30-per-hour worth of compensation, at a combined cost of at least $2 billion to Ford and GM.

In January, GM Chief Executive Mary Barra tacked an additional $2,000 on profit-sharing checks above and beyond what the contractual agreement required. Referred to by some as the "Barra Bonus," that move alone cost GM about $100 million.

Ford CEO Mark Fields did a similar move in 2011, topping off UAW bonuses several months before that round of negotiations kicked off.

Those bonuses, however, have come as Detroit enjoys tailwinds in the U.S. market. Buyers are clamoring for high-profit trucks and SUVs, driving the sales pace to near a decade-high. UAW negotiators are reasonable to assume that what goes up, must come down--the U.S. light-vehicle market will inevitably decline.

So how can Mr. Williams win while the wind is at his back?

UAW members have said one item he needs to push for is to win a raise for traditional workers. While $28 an hour is generous in manufacturing, the UAW's old-timers haven't seen a wage increase in over a decade.

As for lower-paid workers, Mr. Williams will look to move them to the higher wage more rapidly and with more certainty. This could mean adjusting the cap on how many lower-paid employees can be carried on the books, or have gradual raises in place that take workers to higher rates over many years.

Regardless of the solution, any wage increases won this year will need to be paid back with reduced pension benefits or higher health costs for UAW members in the years to come. Explaining that reality for the delegates gathered in Detroit may be the most important item on Mr. Williams' agenda.

The Week Ahead looks at coming corporate events.

Write to John D. Stoll at john.stoll@wsj.com

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