synthetic hazard index -- probabilistic
WATCH · 2023-01-01 to 2024-12-31 · 268 events · 187 warning episodes
SHIP
Clears every gate for a WATCH.
Gates
PASSsample size268 observed events (need >= 20)
PASSskill (PSS)PSS = 0.177 (need > 0); grid slot 1:00:00
PASSWATCH objective (recall)recall = 1.000 (need >= 0.80)
PASSrecall lower CI bound95% CI 1.000 [1.000, 1.000] (lower bound must reach 0.80)
PASSmedian lead timemedian 13.0 h, IQR 13.0-13.0 h (need >= 1 h)
PASSfrequency biasbias = 0.70 (want 0.5-3); 187 warning episodes for 268 events
Metrics
| metric | value (95% CI) | counted over | definition |
|---|---|---|---|
| recall | 1.000 [1.000, 1.000] | events | a/(a+c) of the events, the share that were warned |
| precision | 0.781 [0.724, 0.837] | episodes | a/(a+b) of the warnings issued, the share that verified |
| far | 0.219 [0.163, 0.276] | episodes | b/(a+b) false alarm RATIO (= 1 - precision) |
| f1 | 0.877 [0.840, 0.911] | mixed | harmonic mean of precision and recall |
| csi | 0.867 [0.828, 0.904] | mixed | a/(a+b+c) critical success index / threat score |
| bias | 0.698 [0.594, 0.809] | episodes/events | (a+b)/(a+c) >1 over-warns, <1 under-warns |
| pofd | 0.823 [0.792, 0.853] | grid | b/(b+d) false alarm RATE (needs correct negatives) |
| hss | 0.007 [0.005, 0.008] | grid | Heidke skill score, 0 = chance, 1 = perfect |
| pss | 0.177 [0.147, 0.208] | grid | Peirce skill score = POD - POFD, base-rate insensitive |
| ets | 0.003 [0.003, 0.004] | grid | equitable threat score (CSI corrected for chance hits) |
Object counts
| counted over | total | right | wrong | drives |
|---|---|---|---|---|
| events | 268 | 268 hits | 0 misses | recall / POD |
| warning episodes | 187 | 146 verified | 41 false alarms | precision / FAR |
| raw alerts | 9622 | merged into 187 episodes | nothing directly — merging prevents double counting | |
Multiplicity 1.84 hits per verified episode. At 1.00 the two denominators agree and every object score is unambiguous; well above 1.00 means long episodes are sweeping up several events at once.
Contingency tables
| table | hits | false alarms | misses | correct negatives |
|---|---|---|---|---|
| object, classical mixed | 268 | 41 | 0 | n/a by design |
| grid (slot 1:00:00) | 268 | 14202 | 0 | 3050 |
Lead time
median 13.0 h, IQR 13.0–13.0 h, range 12.0–13.0 h over 268 hits.
Probabilistic
| bin | n | mean forecast | observed freq | 95% CI |
|---|---|---|---|---|
| 0.00–0.10 | 1093 | 0.065 | 0.070 | [0.057, 0.087] |
| 0.10–0.20 | 1182 | 0.166 | 0.178 | [0.157, 0.200] |
| 0.20–0.30 | 599 | 0.257 | 0.269 | [0.235, 0.306] |
| 0.30–0.40 | 2350 | 0.373 | 0.352 | [0.333, 0.372] |
| 0.40–0.50 | 1199 | 0.460 | 0.459 | [0.431, 0.487] |
| 0.50–0.60 | 3199 | 0.529 | 0.506 | [0.488, 0.523] |
| 0.60–0.70 | 0 | – | – | – |
| 0.70–0.80 | 0 | – | – | – |
| 0.80–0.90 | 0 | – | – | – |
| 0.90–1.00 | 0 | – | – | – |
Brier 0.20734 · Brier skill 0.098 · ROC AUC 0.682 · 9622 grid slots, base rate 0.35793
Diagnostics
Notes
- Each verified episode covered 1.84 events on average. Recall counts events and precision counts episodes, so they are not two views of the same denominator here; CSI and F1 mix the two and should be read with that in mind.
Plain text scorecard
==============================================================================
warncal scorecard -- synthetic hazard index -- probabilistic
role: WATCH period: 2023-01-01 to 2024-12-31
==============================================================================
VERDICT: SHIP
Clears every gate for a WATCH.
------------------------------------------------------------------------------
GATES
[PASS] sample size
268 observed events (need >= 20)
[PASS] skill (PSS)
PSS = 0.177 (need > 0); grid slot 1:00:00
[PASS] WATCH objective (recall)
recall = 1.000 (need >= 0.80)
[PASS] recall lower CI bound
95% CI 1.000 [1.000, 1.000] (lower bound must reach 0.80)
[PASS] median lead time
median 13.0 h, IQR 13.0-13.0 h (need >= 1 h)
[PASS] frequency bias
bias = 0.70 (want 0.5-3); 187 warning episodes for 268 events
------------------------------------------------------------------------------
OBJECT COUNTS (overlapping alerts merged into episodes)
events 268 = 268 hits + 0 misses -> recall
episodes 187 = 146 verified + 41 false alarms -> precision
raw alerts 9622 merged into 187 episodes
multiplicity 1.84 hits per verified episode (1.00 = clean units)
Classical mixed table, for comparison with published studies:
event yes event no
warned yes 268 41
warned no 0 n/a
OPPORTUNITY GRID (slot = 1:00:00) -- the only source of correct negatives
event yes event no
warned yes 268 14202
warned no 0 3050
------------------------------------------------------------------------------
METRICS (95% block-bootstrap CI where available)
metric value [95% CI] counted over
recall 1.000 [1.000, 1.000] events
precision 0.781 [0.724, 0.837] episodes
far 0.219 [0.163, 0.276] episodes
f1 0.877 [0.840, 0.911] mixed
csi 0.867 [0.828, 0.904] mixed
bias 0.698 [0.594, 0.809] episodes/events
pofd 0.823 [0.792, 0.853] grid
hss 0.007 [0.005, 0.008] grid
pss 0.177 [0.147, 0.208] grid
ets 0.003 [0.003, 0.004] grid
base rate 0.01530 grid
PROBABILISTIC
Brier 0.20734
Brier skill 0.098 (vs sample climatology)
ROC AUC 0.682
decomposition: reliability 0.00058 - resolution 0.02305 + uncertainty 0.22982
reliability (forecast bin -> observed frequency)
bin n mean p obs freq 95% CI
0.00-0.10 1093 0.065 0.070 [0.057, 0.087]
0.10-0.20 1182 0.166 0.178 [0.157, 0.200]
0.20-0.30 599 0.257 0.269 [0.235, 0.306]
0.30-0.40 2350 0.373 0.352 [0.333, 0.372]
0.40-0.50 1199 0.460 0.459 [0.431, 0.487]
0.50-0.60 3199 0.529 0.506 [0.488, 0.523]
0.60-0.70 0 - - -
0.70-0.80 0 - - -
0.80-0.90 0 - - -
0.90-1.00 0 - - -
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LEAD TIME (event onset minus episode issue time, hits only)
median 13.0 h IQR 13.0 to 13.0 h range 12.0 to 13.0 h
median 95% CI [13.0, 13.0] h
12.0 h |▁ █| 13.0 h (n=268)
------------------------------------------------------------------------------
NOTES
- Each verified episode covered 1.84 events on average. Recall counts
events and precision counts episodes, so they are not two views of the
same denominator here; CSI and F1 mix the two and should be read with
that in mind.
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warncal scores warning rules. It is a measurement tool, not a decision
authority: it is not medical, clinical or safety advice, it is not an
emergency service, and a favourable verdict here does not make a rule safe
to deploy. A human who understands the hazard must make that call.
==============================================================================
Not advice. warncal scores warning rules. It is a measurement tool, not a decision authority: it is not medical, clinical or safety advice, it is not an emergency service, and a favourable verdict here does not make a rule safe to deploy. A human who understands the hazard must make that call.