The demise of Homo neanderthalensis

Why did our Homo sapiens species survive and Homo neanderthalensis die out? New research reported in NewScientist uncovers a number of reasons the species died out 40,000-50,000 years ago, "a long messy process": https://www.newscientist.com/article/mg26435120-800-a-cave-in-france-is-revealing-how-the-neanderthals-died-out/