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What will be the water level of the Rhine river, according to the Kaub gauging station, on September 1, 2026?
79.0
Submitted p50
weighted_average
Fermi logic
climate
Domain
Plan 28.51s
Build a climatological base distribution of Kaub September 1 readings (heavily right-skewed, log-normal-ish, median roughly 150-170 cm) via Monte Carlo, then shift/reweight the band probabilities (<100, 100-200, >250 cm) based on current drought and antecedent-condition evidence to produce the final numeric percentiles.
Sub-questions (4)
sq1
Will the Kaub gauge reading at 08:00 on September 1, 2026 be below 100 cm (i.e., a severe low-water/drought regime comparable to 2018/2022)?
Defines the low tail of the distribution; low-water summers (2018, 2022, 2025) put Kaub in the 25-100 cm range and drive most of the downside spread.
w=0.30
sq2
Will the Kaub reading on September 1, 2026 fall in the typical early-September range of 100-200 cm?
This is the historical modal band for early September; anchoring the central mass determines the median forecast.
w=0.35
sq3
Will the Kaub reading on September 1, 2026 exceed 250 cm (wet/high-flow late summer)?
Captures the upper tail from a wet August (e.g., 2021, 2010, 2024-type conditions), which strongly skews the distribution right.
w=0.20
sq4
Will Rhine catchment conditions in the months leading up to September 2026 (Alpine snowpack, spring/summer precipitation, drought indices) be drier than the recent 10-year average?
Antecedent hydrological conditions and any persisting drought signal shift the whole conditional distribution up or down relative to climatology.
w=0.15
Tool requests (4)
code_execution
sq1, sq2, sq3
{"code": "import numpy as np\n# Approximate historical Kaub water levels (cm) at/near Sept 1 from public records (pegelonline/WSV, news reports)\nyears = list(range(2003, 2026))\nsept1 = {2003: 40, 2004: 150, 2005: 200, 2006: 260, 2007: 300, 2008: 190, 2009: 160,\n 2010: 300, 2011: 150, 2012: 190, 2013: 200, 2014: 320, 2015: 60, 2016: 150,\n 2017: 200, 2018: 55, 2019: 130, 2020: 110, 2021: 300, 2022: 55, 2023: 160,\n 2024: 220, 2025: 90}\nvals = np.array([sept1[y] for y in years], dtype=float)\nprint(\u0027n=\u0027, len(vals))\nfor q in [5,10,25,50,75,90,95]:\n print(q, np.percentile(vals, q))\nprint(\u0027mean\u0027, vals.mean(), \u0027sd\u0027, vals.std(ddof=1))\nprint(\u0027P(\u003c100)\u0027, (vals\u003c100).mean(), \u0027P(100-200)\u0027, ((vals\u003e=100)\u0026(vals\u003c=200)).mean(), \u0027P(\u003e250)\u0027, (vals\u003e250).mean())\nlv = np.log(vals)\nprint(\u0027lognormal mu,sigma\u0027, lv.mean(), lv.std(ddof=1))\nsim = np.random.lognormal(lv.mean(), lv.std(ddof=1), 200000)\nprint(\u0027sim pctiles\u0027, [round(float(np.percentile(sim,q)),1) for q in [5,10,25,50,75,90,95]])\n# recent-15yr weighted version (recency weight)\nw = np.exp((np.array(years)-2025)/12.0)\nw/=w.sum()\nidx = np.random.choice(len(vals), 200000, p=w)\nboot = vals[idx]*np.random.lognormal(0,0.30,200000)\nprint(\u0027recency-weighted sim pctiles\u0027, [round(float(np.percentile(boot,q)),1) for q in [5,10,25,50,75,90,95]])\nprint(\u0027P(\u003c100) w\u0027, (boot\u003c100).mean(), \u0027P(100-200) w\u0027, ((boot\u003e=100)\u0026(boot\u003c=200)).mean(), \u0027P(\u003e250) w\u0027, (boot\u003e250).mean())", "description": "Estimate the climatological distribution of Kaub September 1 water levels, percentiles, and probabilities for the three bands, plus a recency-weighted Monte Carlo."}
wikipedia_lookup
sq1, sq3, sq4
{"queries": ["Kaub", "Rhine", "2018 European drought", "2022 European drought", "Droughts in Europe"]}
article_search
sq1, sq4
{"lookback_days": 120, "queries": ["Rhine river low water Kaub water level shipping", "Rhine barge freight rates low water levels Germany", "Europe drought outlook Alpine snowpack Rhine flow"]}
claude_news
sq1, sq2, sq3, sq4
{"brief": "Find the current Kaub gauge water level on the Rhine (cm), the recent trend over the past several weeks, medium-range hydrological forecasts for the Rhine, Alpine snowpack/precipitation anomalies, and any European drought monitor or seasonal outlook signals relevant to late summer 2026 Rhine flows.", "max_searches": 4, "question_title": "What will be the water level of the Rhine river, according to the Kaub gauging station, on September 1, 2026?"}
Research 29.19s, 4 tool(s), 0 error(s)
code_execution
ok
Estimate the climatological distribution of Kaub September 1
0.51s
wikipedia_lookup
ok
3 pages
1.42s
article_search
ok
28 articles
0.81s
claude_news
ok
10 citations
29.19s
Cross-market signals
## Cross-Market Signals ### Polymarket - "Will the Fed increase interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.41, Volume: $5.9M - "Will the Fed decrease interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.01, Volume: $6.8M - "Will the Fed decrease interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.5M - "Will there be no change in Fed interest rates after the September 2026 meeting?" → Yes: 0.58, Volume: $6.0M - "Will Anthropic IPO by September 30, 2026?" → Yes: 0.12, Volume: $489.1K - "Will the Fed increase interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.8M - "US announces end of Iranian blockade by September 30, 2026?" → Yes: 0.65, Volume: $515.5K - "US x Iran diplomatic meeting by September 30, 2026?" → Yes: 0.43, Volume: $263.2K
Evidence Synthesis 27.31s, 12 items
Historical Kaub Sept-1 sample (n=23) gives median 160 cm, P(<100)≈22%, P(100-200)≈52%, P(>250)≈22%; recency-weighted Monte Carlo shifts P(<100) to ~29%.
CNBC (Aug 5, 2026) reported Rhine water levels near Neuss falling to a record low on July 30, 2026 after exceptionally hot weather.
Europe is experiencing an extreme, economically damaging drought in summer 2026, with Romania blasting Danube riverbeds and shutting a Danube-cooled nuclear reactor.
The Netherlands declared an official water shortage (Level 2 drought response) in mid-July 2026, citing less rain and reduced river inflow.
Danube reached record lows in July 2026, exposing riverbeds in Bulgaria and Croatia, indicating basin-wide central European hydrological deficit.
Loadstar reported barge operations on the Rhine almost halted due to perilously low water, with forecasts of minimal rain and another temperature spike.
The 100-200 cm band is the modal climatological outcome, capturing roughly 39-52% of historical/simulated Sept-1 Kaub readings.
Simulated probability of a Kaub Sept-1 reading above 250 cm is roughly 20%, driven by rare wet late-summer episodes in the historical record.
Severe drought conditions with depleted soil moisture and low baseflow prevailed across the Rhine catchment through early August 2026.
Rhine levels at Kaub can rebound several hundred cm within days after heavy rainfall, so late-August precipitation could move the Sept 1 reading substantially.
Comparable historical analogues (2018, 2022 European droughts) produced Kaub minima near 25-35 cm, showing severe-drought years can push readings far below 100 cm.
No article in the retrieved set provides Alpine snowpack, Swiss glacier melt contribution, or Rhine-specific SPI/soil-moisture indices for 2026.
Information gaps
- Actual current Kaub gauge reading in August 2026 (pegelonline data not retrieved)
- Alpine snowpack/glacier melt and Lake Constance outflow status for 2026
- BfG/DWD medium-range Rhine discharge forecasts for late August 2026
- Base rate of late-August rainfall-driven rebounds from sub-100 cm to >150 cm at Kaub
Key uncertainties
- Whether a late-August Atlantic rain regime breaks the drought
- How low Kaub actually is now versus the record ~25-30 cm floor
- Reliability of the 23-year Sept-1 sample used for climatology
- Glacier/Alpine baseflow support offsetting lowland rainfall deficit
Forecast 64.53s, opus, secondary
Rationale
(a) Resolution is ~2-3 weeks after the latest evidence (early-to-mid August 2026), so antecedent hydrology dominates and only one or two rain events can intervene. (b) Status quo: the Rhine is in a severe low-water regime — record low at Neuss on July 30, 2026, barge traffic near a halt, Netherlands water-shortage declaration, Danube record lows — implying Kaub is currently in roughly the 30-60 cm band, comparable to or below 2018/2022 analogues. (c) If the current hot/dry trend continues with only minimal rain, Kaub on Sept 1 would sit near or slightly below today's level, i.e. 30-60 cm, since baseflow recession is slow but relentless once soil moisture and Alpine melt contributions are depleted. (d) Raw climatology (median ~160 cm, P(<100)≈22%) must be heavily downweighted because the 2026 drought signal is strong and concrete; recency- and condition-weighted reasoning puts most mass below 120 cm, though I keep meaningful upside because Kaub can rebound several hundred cm within days after a frontal rain sequence. (e) Low scenario (p10): blocking high persists through late August, no significant catchment rainfall, continued recession toward record territory of 25-35 cm. (f) High scenario (p90): an Atlantic westerly regime re-establishes in the last week of August with widespread 40-80 mm over the Swiss/Black Forest/Moselle catchments, lifting Kaub back into the 150-250 cm range (truncated by the question's 209.5 ceiling). Net: I center near 75-80 cm with a right-skewed distribution and wide tails to respect both the record-low floor and rapid rain-driven rebounds.
Evidence brief shown to forecaster
1. [sq1 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] Historical Kaub Sept-1 sample (n=23) gives median 160 cm, P(<100)≈22%, P(100-200)≈52%, P(>250)≈22%; recency-weighted Monte Carlo shifts P(<100) to ~29%. 2. [sq1 | article_search | STRONG cred 85 | UP | RECENT] CNBC (Aug 5, 2026) reported Rhine water levels near Neuss falling to a record low on July 30, 2026 after exceptionally hot weather. 3. [sq4 | article_search | STRONG cred 85 | UP | RECENT] Europe is experiencing an extreme, economically damaging drought in summer 2026, with Romania blasting Danube riverbeds and shutting a Danube-cooled nuclear reactor. 4. [sq4 | article_search | STRONG cred 88 | UP | RECENT] The Netherlands declared an official water shortage (Level 2 drought response) in mid-July 2026, citing less rain and reduced river inflow. 5. [sq4 | article_search | MODERATE cred 80 | UP | RECENT] Danube reached record lows in July 2026, exposing riverbeds in Bulgaria and Croatia, indicating basin-wide central European hydrological deficit. 6. [sq1 | article_search | MODERATE cred 70 | UP | RECENT] Loadstar reported barge operations on the Rhine almost halted due to perilously low water, with forecasts of minimal rain and another temperature spike. 7. [sq2 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] The 100-200 cm band is the modal climatological outcome, capturing roughly 39-52% of historical/simulated Sept-1 Kaub readings. 8. [sq3 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] Simulated probability of a Kaub Sept-1 reading above 250 cm is roughly 20%, driven by rare wet late-summer episodes in the historical record. 9. [sq3 | article_search | STRONG cred 82 | DOWN | RECENT] Severe drought conditions with depleted soil moisture and low baseflow prevailed across the Rhine catchment through early August 2026. 10. [sq2 | analysis | MODERATE cred 65 | NEUTRAL | DATED] Rhine levels at Kaub can rebound several hundred cm within days after heavy rainfall, so late-August precipitation could move the Sept 1 reading substantially. 11. [sq1 | wikipedia_lookup | MODERATE cred 70 | UP | DATED] Comparable historical analogues (2018, 2022 European droughts) produced Kaub minima near 25-35 cm, showing severe-drought years can push readings far below 100 cm. 12. [sq4 | article_search | WEAK cred 40 | NEUTRAL | VERY_RECENT] No article in the retrieved set provides Alpine snowpack, Swiss glacier melt contribution, or Rhine-specific SPI/soil-moisture indices for 2026. ## Cross-Market Signals ### Polymarket - "Will the Fed increase interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.41, Volume: $5.9M - "Will the Fed decrease interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.01, Volume: $6.8M - "Will the Fed decrease interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.5M - "Will there be no change in Fed interest rates after the September 2026 meeting?" → Yes: 0.58, Volume: $6.0M - "Will Anthropic IPO by September 30, 2026?" → Yes: 0.12, Volume: $489.1K - "Will the Fed increase interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.8M - "US announces end of Iranian blockade by September 30, 2026?" → Yes: 0.65, Volume: $515.5K - "US x Iran diplomatic meeting by September 30, 2026?" → Yes: 0.43, Volume: $263.2K Information gaps: - Actual current Kaub gauge reading in August 2026 (pegelonline data not retrieved) - Alpine snowpack/glacier melt and Lake Constance outflow status for 2026 - BfG/DWD medium-range Rhine discharge forecasts for late August 2026 - Base rate of late-August rainfall-driven rebounds from sub-100 cm to >150 cm at Kaub Key uncertainties: - Whether a late-August Atlantic rain regime breaks the drought - How low Kaub actually is now versus the record ~25-30 cm floor - Reliability of the 23-year Sept-1 sample used for climatology - Glacier/Alpine baseflow support offsetting lowland rainfall deficit
Raw forecast prompt
You are an elite superforecaster. Produce a probability distribution over the answer to this Metaculus numeric question.
## Question
What will be the water level of the Rhine river, according to the Kaub gauging station, on September 1, 2026?
## Description / Resolution Criteria
## Description
Lodestar: [Barge operations almost at a halt amid perilously low Rhine water](https://theloadstar.com/barge-operations-almost-at-a-halt-amid-perilously-low-rhine-water/) "The waters of the Rhine have hit perilously low levels, reducing barge activity on the river almost to a complete halt, and forecasts indicate minimal chances of rain this week and another temperature spike next week."
`{"format": "bot_tournament_question", "info": {"hash_id": "09b136ca2738a675", "sheet_id": "160"}}`
## Resolution Criteria
This question resolves as the water level ("Wasserstand" in German), in centimetres, reported for the KAUB gauge (Messstellennummer 25700100) on the Rhine river at 08:00 Central European Summer Time (CEST) on September 1, 2026, as reported by Germany's Federal Waterways and Shipping Administration: https://www.pegelonline.wsv.de/gast/stammdaten?pegelnr=25700100
For example, a reading of 42 cm resolves as 42. If no measurement is available for exactly 08:00 CEST, the next available measurement after that time is used.
## Range
The answer must be a number in [9.5, 209.5] (units: cm).
## Sub-question decomposition (planner)
- (w=0.30) Will the Kaub gauge reading at 08:00 on September 1, 2026 be below 100 cm (i.e., a severe low-water/drought regime comparable to 2018/2022)? — Defines the low tail of the distribution; low-water summers (2018, 2022, 2025) put Kaub in the 25-100 cm range and drive
- (w=0.35) Will the Kaub reading on September 1, 2026 fall in the typical early-September range of 100-200 cm? — This is the historical modal band for early September; anchoring the central mass determines the median forecast.
- (w=0.20) Will the Kaub reading on September 1, 2026 exceed 250 cm (wet/high-flow late summer)? — Captures the upper tail from a wet August (e.g., 2021, 2010, 2024-type conditions), which strongly skews the distributio
- (w=0.15) Will Rhine catchment conditions in the months leading up to September 2026 (Alpine snowpack, spring/summer precipitation, drought indices) be drier than the recent 10-year average? — Antecedent hydrological conditions and any persisting drought signal shift the whole conditional distribution up or down
## Synthesized evidence
1. [sq1 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] Historical Kaub Sept-1 sample (n=23) gives median 160 cm, P(<100)≈22%, P(100-200)≈52%, P(>250)≈22%; recency-weighted Monte Carlo shifts P(<100) to ~29%.
2. [sq1 | article_search | STRONG cred 85 | UP | RECENT] CNBC (Aug 5, 2026) reported Rhine water levels near Neuss falling to a record low on July 30, 2026 after exceptionally hot weather.
3. [sq4 | article_search | STRONG cred 85 | UP | RECENT] Europe is experiencing an extreme, economically damaging drought in summer 2026, with Romania blasting Danube riverbeds and shutting a Danube-cooled nuclear reactor.
4. [sq4 | article_search | STRONG cred 88 | UP | RECENT] The Netherlands declared an official water shortage (Level 2 drought response) in mid-July 2026, citing less rain and reduced river inflow.
5. [sq4 | article_search | MODERATE cred 80 | UP | RECENT] Danube reached record lows in July 2026, exposing riverbeds in Bulgaria and Croatia, indicating basin-wide central European hydrological deficit.
6. [sq1 | article_search | MODERATE cred 70 | UP | RECENT] Loadstar reported barge operations on the Rhine almost halted due to perilously low water, with forecasts of minimal rain and another temperature spike.
7. [sq2 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] The 100-200 cm band is the modal climatological outcome, capturing roughly 39-52% of historical/simulated Sept-1 Kaub readings.
8. [sq3 | code_execution | MODERATE cred 60 | NEUTRAL | VERY_RECENT] Simulated probability of a Kaub Sept-1 reading above 250 cm is roughly 20%, driven by rare wet late-summer episodes in the historical record.
9. [sq3 | article_search | STRONG cred 82 | DOWN | RECENT] Severe drought conditions with depleted soil moisture and low baseflow prevailed across the Rhine catchment through early August 2026.
10. [sq2 | analysis | MODERATE cred 65 | NEUTRAL | DATED] Rhine levels at Kaub can rebound several hundred cm within days after heavy rainfall, so late-August precipitation could move the Sept 1 reading substantially.
11. [sq1 | wikipedia_lookup | MODERATE cred 70 | UP | DATED] Comparable historical analogues (2018, 2022 European droughts) produced Kaub minima near 25-35 cm, showing severe-drought years can push readings far below 100 cm.
12. [sq4 | article_search | WEAK cred 40 | NEUTRAL | VERY_RECENT] No article in the retrieved set provides Alpine snowpack, Swiss glacier melt contribution, or Rhine-specific SPI/soil-moisture indices for 2026.
## Cross-Market Signals
### Polymarket
- "Will the Fed increase interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.41, Volume: $5.9M
- "Will the Fed decrease interest rates by 25 bps after the September 2026 meeting?" → Yes: 0.01, Volume: $6.8M
- "Will the Fed decrease interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.5M
- "Will there be no change in Fed interest rates after the September 2026 meeting?" → Yes: 0.58, Volume: $6.0M
- "Will Anthropic IPO by September 30, 2026?" → Yes: 0.12, Volume: $489.1K
- "Will the Fed increase interest rates by 50+ bps after the September 2026 meeting?" → Yes: 0.01, Volume: $3.8M
- "US announces end of Iranian blockade by September 30, 2026?" → Yes: 0.65, Volume: $515.5K
- "US x Iran diplomatic meeting by September 30, 2026?" → Yes: 0.43, Volume: $263.2K
Information gaps:
- Actual current Kaub gauge reading in August 2026 (pegelonline data not retrieved)
- Alpine snowpack/glacier melt and Lake Constance outflow status for 2026
- BfG/DWD medium-range Rhine discharge forecasts for late August 2026
- Base rate of late-August rainfall-driven rebounds from sub-100 cm to >150 cm at Kaub
Key uncertainties:
- Whether a late-August Atlantic rain regime breaks the drought
- How low Kaub actually is now versus the record ~25-30 cm floor
- Reliability of the 23-year Sept-1 sample used for climatology
- Glacier/Alpine baseflow support offsetting lowland rainfall deficit
## Required pre-forecast walkthrough
Before giving percentiles, address these explicitly in your rationale:
(a) The time left until the question resolves.
(b) The outcome if NOTHING changes from today (the status quo value).
(c) The outcome if the CURRENT TREND continues.
(d) The expectations of experts / markets / base rates.
(e) A plausible scenario that produces a LOW outcome (near p10).
(f) A plausible scenario that produces a HIGH outcome (near p90).
## Calibration guidance
- **Be humble about tails.** Good forecasters set WIDE 90/10 intervals to account for unknown unknowns. Narrow tails get punished by the log score far more than slightly-biased medians.
- **Status quo anchoring.** The p50 should be close to the status quo value unless you have strong evidence of a trend.
- Don't pile mass at one value — if you're tempted, widen the spread by 20-50%.
- **Anchor on markets/experts.** If liquid market prices, analyst forecasts, or community percentiles appear in the evidence, center your distribution on them and widen — don't override a liquid market without specific evidence it lacks.
- **Relative-return / spread questions ("how much will X's return exceed Y's").** A near-zero median is usually right, but size the TAILS to the more VOLATILE leg, not to a generic 2-3pp spread. Two broad equity indices (e.g. Nasdaq-100 vs S&P 500) do stay within roughly ±2-3pp over a two-week window. But when one leg is a commodity (crude oil, gold) or a single high-beta stock (e.g. Nvidia), the two-week realized spread regularly reaches ±10pp or more — crude-vs-equity spreads have hit ±18pp. In those cases set p10/p90 to at least ±10pp (±15pp or wider for oil) while keeping the median near the status-quo spread; the 2-3pp intuition applies only to index-vs-index.
- **Heavy-tailed one-off magnitudes (opening-weekend box office, product-launch or debut numbers).** Pre-event tracking for these routinely misses by ±40% or more, and results land both far above and far below the consensus. Do NOT treat the displayed [min, max] range as the plausible range or clamp p10/p90 to its edges: the outcome can fall outside the range in either direction (recent opening weekends resolved ~7% above a displayed ceiling in one case and roughly half the displayed floor in another). Set p10/p90 wide enough that a 2x-or-0.5x surprise versus your central estimate still lands inside the interval, and when concrete current tracking disagrees with historical/franchise base rates, weight the tracking.
## Output
Return ONLY valid JSON, no markdown fences:
{
"rationale": "<address (a) through (f) above, then state your distribution — 6-10 sentences total>",
"p10": <number>,
"p25": <number>,
"p50": <number>,
"p75": <number>,
"p90": <number>
}
Percentiles MUST be in non-decreasing order (p10 <= p25 <= p50 <= p75 <= p90).