Thakkar and McCarthy suggest that periodicity in measles incidence artifactually drives our estimates of a 2- to 3-year duration of measles "immune-amnesia." We show that periodicity has a negligible effect relative to the immunological signal we detect, and demonstrate that immune-amnesia is largely undetectable in small populations with large fluctuations in mortality of the type they use for illustration.
Mina MJ, Grenfell BT, Metcalf CJE. (2019). Response to Comment on "Long-term measles-induced immunomodulation increases overall childhood infectious disease mortality". Science (New York, N.Y.), 365(6449)