The counter resets to 0 every March 1. At this time, AA does not rollover LPs. Whether you have 10, 200,000 or 5,000,000 LPs, it doesn't matter. The counter will go back to 0 every March 1. Your status on 3/1/2014 will be determined by the number of LPs earned 3/1/2023-2/29/2024.
If you should earn enough LPs 3/1/2024-3/31/2014 (in one month) to earn a higher status than what you earned 3/1/2023-2/29/2024, then you'll bump up accordingly by 3/31/2014.