Separation Anxiety Stress Timeline (2D)

This 2D companion strips the 3D room scene down to the model that actually drives a dog's stress while home alone: an exponential rise toward a ceiling set by a time constant τ, stress(t) = ceiling × (1 − e^(−t/τ)), where t is minutes alone. Departure training and enrichment each lower the ceiling and lengthen τ independently, so toggling them apart shows which lever does more for a given absence length. Training also unlocks short "practice" door-openings during the absence — brief dips shaded green on the live strip-chart — mirroring the graduated desensitization exercises real trainers use. A side-view room shows the dog's pacing amplitude and tail posture responding to the same stress value driving the chart, so the number and the behavior stay visibly in sync.