The correct answer is - have no change in seasons. All the places on Earth that lye on the Equator have only one season, that season is summer. But we are not talking about a summer like in the temperate climates where it is hot and dry usually, this is a summer with temperatures around 25-30 degrees, so not very hot, almost daily rainfall around 2-3 o'clock PM, and very big humidity in the air. The temperatures are constant throughout the whole year, and the variations are very small.
Running water is the leading cause of soil erosion, because water is abundant and has a lot of power. Wind is also a leading cause of soil erosion because wind can pick up soil and blow it far away.