CAPE-based derivation of approximate tropical cyclone potential intensity formula
Bibliographic record
Abstract
Tropical cyclone (TC) potential intensity (PI) theory has been extensively used for future climate change assessments of TC activity. PI theory has a well known approximate form, consistent with a Carnot cycle interpretation of TC energetics, which relates PI to mean environmental conditions: the difference between surface and TC outflow temperatures and the air-sea enthalpy disequilibrium. The changes in these conditions (the increase in air-sea disequilibrium, in particular) provide a physical reason for the robust increase in tropical-mean PI simulated in future climate projections. Quantitative assessments of future changes, in contrast, make use of a numerical algorithm based on the relationship between PI and convective available potential energy (CAPE). Here, a recently developed analytic theory for CAPE is used to present an alternative derivation of an approximate form of PI. The derivation offers insight into the limited sensitivity of PI to the atmospheric stratification in the free troposphere. The resulting CAPE-based approximate formula nearly recovers the previous approximate PI formula, and the new formula helps account for the weaker-than-expected sensitivity of PI to surface relative humidity changes. The new analytic CAPE-based PI builds confidence in previous numerical CAPE-based PI calculations that use climate model projections of the future tropical environment.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.005 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".