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I totally get the need for that one-dimensional model for easier analysis, even if it simplifies things. That "quasi-stationary regime" effect you mentioned really resonates – reminds me of those unexpected after-effects when you think a process is done. It's oddly similar to the way I sometimes feel playing agario. Just when you think you're safe and dominating, bam! Someone smaller comes out of nowhere and eats you. Talk about a sudden stress shift in the parameters!