Strong aftershocks rocked Papua New Guinea's remote and rugged highlands on Monday, a week after the largest quake to hit the region in almost a century killed at least 31 people.

Three aftershocks stronger than magnitude 5 shook the mountainous Southern Highlands, about 600 km (370 miles) northwest of the capital Port Moresby early on Monday, the U.S. Geological Survey said, including a shallow magnitude 6 quake.

"We haven't slept. It's been shaking all through the night," said William Bando, provincial administrator of Hela Province, by telephone from Tari, about 40 km from where the shocks hit.