Tap-water nitrate T is modelled separately as a slowly varying Gaussian random walk. That is an assumption, but a more plausible one than treating the supply as perfectly constant.
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Tap-water nitrate T is modelled separately as a slowly varying Gaussian random walk. That is an assumption, but a more plausible one than treating the supply as perfectly constant.
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This is the same mathematics as the “nearly constant velocity” model used in target tracking: N takes the role of position and r of velocity.
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My hidden state is
x = (N, r, T)
with r the net accumulation rate and T the nitrate concentration of the tap water.
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It has also been a useful excuse to revise some Bayesian filtering. I am not a probabilist in my day job.
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Why does algae win when you add more light? Your plants only grow as fast as their scarcest resource allows, and the leftovers feed algae. A 2-minute doodle on Liebig's law. #plantedtank #aquarium youtu.be/b6ps7THxFKY
I haven't posted about my fish tank in a while, but here's how it's going since the last time I posted a photo. The plants are definitely coming along. It is still on a filter, but I'm just not home enough to babysit it through the transition period, so it stays for now.