Hello, thank you for using eXtension for your natural resources wildlife question. I cannot say for certain if Red squirrels are responsible for the absence of chipmunks or 13 lined ground squirrels. Do you or your neighbors have cats?
Most squirrel species are territorial and will chase away competitive squirrel species, including Chipmunks. Red squirrels are especially so. Watching squirrel chases and competitions in your yard or park can be entertaining.
Here are some more resources on squirrels: