250.24 ...shall have a grounding electrode conductor connected,...at each service,...
If the 200 amp service is the only service then no additional grounding electrode connection would be needed. However, you are starting with a 1,000 service and then there is the 200 amp service.
You could stay with a single rod at the 1,000 but the GEC would have to be extended from there to the 200 amp.
Does that help ?
