Common positive rate models close 0.7 to 25.0 percent of a spatial thermal gap after 60 years of warming and 30 years at constant temperature

We calculate how much of a spatial thermal gap closes after warming stops in common positive rate models fitted to 54 network summaries. After 60 equal annual temperature increases and 30 years at constant temperature, models within 4 score units of the best fit close 0.0073 to 0.2499 of the remaining spatial gap. Added response is 0.0059 to 0.1581 of the spatial prediction. We prove that a longer uniform warming history cannot increase this closure fraction in a fixed positive mixture. Independent certificates check all 108 endpoints. Network bootstrap upper endpoints have 2.5th and 97.5th percentiles of 0.0847 and 0.4328; one of 100 draws exceeds half. These are conditional model bounds, not confidence limits or ecological forecasts. Common weights, fixed spatial slopes, missing error covariance, initial equilibrium and the rate grid remain important assumptions. Code, proof, witnesses, provenance and aggregate results are included.