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Surprisingly, those patterns generalize across most rivers (at least in the US), but they're most prominent in the mountains. Formulating a function to capture that ended up being important for the modeling work, and it also turned a "that's funny" side-note into a paper, which I'm thrilled to announce has just been published in JAWRA: onlinelibrary.wiley.com/doi/10

(The paper is behind a paywall, but I can share copies on request.)

In the process of developing a new stream temperature model, I noticed some odd seasonal error spikes in mountainous watersheds. It turns out that stream temperature seasonality has some distinct patterns that aren't captured in the typical annual formulation (a sinusoid with a period of one year): in most streams, the spring is colder, summer warmer, autumn colder, and winter warmer than you'd expect from a sine curve.