As the music industry races toward a future of digital streams and smartphone apps, its latest crisis centers on a regulatory plan that has been in place since “Chattanooga Choo Choo” was a hit.

Since 1941, Ascap and BMI, the two giant licensing organizations that dominate music publishing, have been governed by consent decrees with the Justice Department. These agreements were made to guarantee fair royalty rates for songwriters and for the radio stations, television networks and even restaurants and retail shops that play their music.

But with the industry struggling to make money from digital music, this system has come under attack. The streaming service Pandora is squaring off against Ascap in a closely watched trial over royalty payments. Big music publishers like Sony/ATV and Universal are calling on the government to overhaul the system, and technology companies are accusing the publishers of trying to skirt federal rules meant to protect them.

The outcome could reshape the finances of a large part of the industry.

“What’s happening with these court cases will determine the future of the music publishing and songwriting industries,” said David Israelite, the president of the National Music Publishers’ Association. “It is simply unfair to ask songwriters and publishers to be paid something less than a fair market rate for their intellectual property.”