Higher-order ecological interactions can be accurately reproduced by effective pairwise models fitted to abundance time series, so interaction structure cannot be reliably inferred from time series data alone.
Sanchez, Defining higher-order interactions in synthetic ecology: lessons from physics and quantitative genetics, Cell systems9, 519 (2019)
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Higher-order interactions in ecology can be hidden in plain sight
Higher-order ecological interactions can be accurately reproduced by effective pairwise models fitted to abundance time series, so interaction structure cannot be reliably inferred from time series data alone.