MUMBAI, India — More than 1,000 people have died in floods across South Asia this summer, and as sheets of incessant rain pummeled the vast region on Tuesday, worries grew that the death toll would rise along with the floodwaters.

According to the United Nations, at least 41 million people in Bangladesh, India and Nepal have been directly affected by flooding and landslides resulting from the monsoon rains, which usually begin in June and last until September.

And while flooding in the Houston area has grabbed more attention, aid officials say a catastrophe is unfolding in South Asia.