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Second-order autoregressive triangles (as in Royama)

Do anyone have an example/description on how to calculate second-order autoregressive triangles? It’s a autoregressive modelling to look for delayed effects, typically used in identifying if an animal population has regular fluctuations (e.g., lemming cycles). They are also known as Royama triangles. I would love to try and perform this in R, but have no idea where to start 🙂