## Phenology and the Intersection of Two Curves

My lab has been working on a project forecasting how the timing of flowering will vary over space and through time with climate change. To do this well, we need robust ways to quantify shifts in phenological timing. The approach we have taken so-far is to fit relatively simple functions to the observed data, but how do we quantify the amount of shift? Here's where numerical integration comes in. Here's an example with some simulated data. I've borrowed some of this code from here.

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