An old field is an area of land that used to be something else but has been left alone for a long time. Imagine a big field where people used to farm or graze animals, but now nobody takes care of it anymore. Over time, different plants and animals move in and make it their home. Some of the plants might be tall and wild, and some animals might be burrowing in the ground or flying around.
Ecologists study these old fields to see how the plants and animals interact with each other and with their environment. They ask questions like "what kinds of plants grow here?" and "what types of animals live here?" and "how do they depend on each other?" By understanding how nature works in old fields, ecologists can figure out how to protect other habitats and how to restore areas that have been damaged by humans.
In short, old fields are like abandoned playgrounds for nature, and ecologists are like grown-up detectives who try to understand everything that's going on in them.