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SCIENCE · INVESTIGATE AND EXPLAIN

Read actual daily streamflow evidence

Audit USGS dates, discharge units, daily means and source qualifiers.

Learning outcome: Convert a reported daily mean into bin volume without inferring peaks or available withdrawals.

Starting recap

Site 01646500 uses discharge parameter 00060, daily-mean statistic 00003 and station-date labels.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

January 1: 8930 ft3/s times 86400 s gives 771552000 ft3, about 21.85 million m3.

Open the experiment

Predict

Does a daily mean tell us the largest instantaneous flow?

Experiment

Inspect the fixed seven-day source panel, draw a dated plot and calculate one bin volume on paper.

Allocate a bounded reservoir under stress

Fictional water-allocation policy · separate observed river record · Original fictional reservoir, capacity 100 m³ and initial storage 40 m³. Each daily bin receives all its supplied inflow, spills above capacity, prioritizes the requested downstream release, then supplies service demand from remaining water. No evaporation, groundwater, within-day hydraulics or forecast. Release targets are policy assumptions, not ecological adequacy thresholds. Unmet requests are not water fluxes. This model is not calibrated to the separate USGS river record.

Reset keeps your prediction, captures and practice history.

One reservoir, two requests and a fixed order

Regular inflow; service request 20 m³/day. This fictional store starts with 40 m³ and holds at most 100 m³. The requested controlled downstream release is 5 m³/day. The service request is 20 m³/day. These are supplied teaching conditions, not a real reservoir forecast or recommended ecological flow.

Predict before comparing: if you increase the release request under the same inflow scenario, what happens to service and storage? Treat your preferred allocation as a stated choice; the arithmetic does not decide whose needs should take priority.

  1. Receive the whole day's supplied inflow into the starting store.
  2. Spill any volume above 100 m³ before either requested allocation.
  3. Prioritize controlled downstream release, capped by the water available.
  4. Supply school/community service from the remaining water; retain the remainder for the next day.

This daily event order is a policy and timing assumption. It does not resolve within-day hydraulics. Changing the order could change spill or service. Evaporation, groundwater exchange and other losses are omitted.

Stored volume (m³): initial state and end-of-day snapshots020406080100Capacity 100 m³01234567Day 0 is initial storage; days 1–7 are after allocationLines guide the eye between snapshots; they are not within-day flow predictions.

Close the water ledger

Across seven days: 40 initial + 140 inflow = 0 spill + 35 controlled release + 140 service supplied + 5 final storage, all in m³. Balance residual: 0 m³.

Spill and controlled release both leave the store, but their timing and consequences need not be equivalent. More released water is not, by itself, evidence that ecological needs are met. Unmet requests are comparisons against a target, not additional water leaving the store.

Event order left to right; every quantity is m³ within the stated daily bin
DayStartInflowBefore spillSpillAfter spillControlled releaseAfter releaseService suppliedEndBalance residual
140206006055520350
235205505555020300
330205005054520250
425204504554020200
520204004053520150
615203503553020100
71020300305252050

Keep requests visible when water runs short

All volumes in m³; actual fulfillment plus shortfall equals the request
DayRelease requestedRelease actualRelease shortfallService requestedService suppliedUnmet service
155020200
255020200
355020200
455020200
555020200
655020200
755020200
Seven-day totals353501401400
Check a matched comparison and a timing counterexample

Worked comparison, separate from the current selection: under regular inflow, requesting 5 m³/day releases 35 m³, supplies all 140 m³ of service and leaves 5 m³. Requesting 10 m³/day releases 70 m³, supplies 110 m³ of service and leaves zero; unmet service rises to 30 m³. One reported indicator improves while another worsens. Choosing between these cases needs objectives and evidence beyond this ledger.

For the pulse case, day one begins with 40 m³ and receives 80 m³. The resulting 120 m³ exceeds capacity, so 20 m³ spills before allocations. Supplying service first would be a different timing model. Do not interpret the daily snapshot line as evidence that this pulse arrives gradually.

Transfer: keep the requested release at 5 m³/day and compare regular inflow with dry stress, then with higher service demand. Identify which input changed, show the complete water balance, and state one additional observation needed before proposing a real intervention. The separate USGS streamflow record is an observation audit; it does not calibrate these inputs or establish permitted withdrawals.

Final storage 5 m³; service supplied 140 of 140 m³ requested; unmet service 0 m³.

40 + 140 inflow = 0 spill + 35 controlled release + 140 service + 5 storage (m³). Requested controlled release 35 m³; release shortfall 0 m³. Priority and daily event order are assumptions, not a claim about the best policy.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

Open an observation alongside the teaching model

The reservoir controls describe a fictional system. The fixed panel below contains a different kind of evidence: seven actual USGS daily mean discharge records for site 01646500, POTOMAC RIVER NEAR WASH, DC LITTLE FALLS PUMP STA. Read the station, dates, units and statistic before comparing the numbers. Changing reservoir settings does not alter this record or calibrate that model.

Seven observed daily means on the Potomac

USGS station 01646500, POTOMAC RIVER NEAR WASH, DC LITTLE FALLS PUMP STA, January 1–7, 2024. These historical observations are separate from the fictional reservoir. They do not supply its inflows or validate its settings.

Predict and compare: identify the lowest daily mean, then calculate the January 1 volume. Does a lower daily mean prove that every instant that day had lower flow? State what the record leaves unknown.

Daily mean discharge (ft³/s)025005000750010000Jan 1Jan 2Jan 3Jan 4Jan 5Jan 6Jan 7Station date, 2024 (EST); one mean per daily binBars do not assert constant instantaneous discharge.
Reported daily means, preserved strings and derived volume estimates
Station dateRaw discharge ft³/sSource flagBin duration sVolume m³, about 3 significant figures
2024-01-018930A8640021,800,000
2024-01-027760A8640019,000,000
2024-01-036860A8640016,800,000
2024-01-046050A8640014,800,000
2024-01-055430A8640013,300,000
2024-01-065480A8640013,400,000
2024-01-077410A8640018,100,000

Worked rate-to-volume conversion: January 1: 8,930 ft³/s × 86,400 s = 771,552,000 ft³. Multiply by 0.028316846592 m³/ft³ to obtain about 21,800,000 m³ (three significant figures). The unrounded arithmetic is approximately 21,847,919.6217508 m³; those extra digits are not extra measurement precision. Seven-bin volume from the reported means is 4,140,288,000 ft³ before rounding, about 117,000,000 m³.

A mean multiplied by its bin duration estimates the water volume passing the station during that bin. It does not reveal peak discharge, within-day timing or available withdrawals. These seven records alone do not establish drought status, flood safety, water rights, reservoir capacity or a school’s water supply. No numerical uncertainty interval is supplied.

Check the comparison and its limits

January 5 has the lowest daily mean, 5,430 ft³/s. January 7 minus January 5 is +1,980 ft³/s. A daily average cannot establish that all instantaneous flows follow the same ordering; different within-day histories can have the same mean.

Source, approval, time bins and exact response

Credit: U.S. Geological Survey. Parameter 00060, discharge; statistic 00003, Mean; source unit ft3/s; value type “Derived Value”. Source flag A means “Approved for publication -- Processing and review completed.” It is not a quantified uncertainty. Method ID 68478 has an empty description in this response; no instrument method is inferred from that identifier.

The raw date strings, such as 2024-01-01T00:00:00.000, have no offset and label station daily statistics. Site metadata supplies EST −05:00 / EDT −04:00 and daylight-saving use. These January EST bins each span 24 hours: the first is 2024-01-01T05:00:00.000Z through 2024-01-02T05:00:00.000Z, with the ending boundary excluded. The timestamps do not describe instantaneous midnight measurements. A day across a clock change must not automatically be assigned 86,400 seconds.

Exact USGS daily-values query. Retrieved 2026-10-26T19:06:43.186691+00:00. Frozen raw response: 3112 UTF-8 bytes; SHA-256 a3f7d59702ae93f64a81f75e11aac8529eae039c7ce947afa5db833191e3035d. Request identifiers/timestamps may change on refetch. The local frozen bytes, not a future response, define this package.

USGS explanation of streamflow measurement describes stage records, periodic discharge measurements and stage–discharge relationships. These daily estimates are not seven direct instantaneous flowmeter readings. USGS copyrights and credits explains reuse of USGS-produced public-domain information.

{"name":"ns1:timeSeriesResponseType","declaredType":"org.cuahsi.waterml.TimeSeriesResponseType","scope":"javax.xml.bind.JAXBElement$GlobalScope","value":{"queryInfo":{"queryURL":"http://waterservices.usgs.gov/nwis/dv/format=json&sites=01646500&startDT=2024-01-01&endDT=2024-01-07&parameterCd=00060&siteStatus=all","criteria":{"locationParam":"[ALL:01646500]","variableParam":"[00060]","timeParam":{"beginDateTime":"2024-01-01T00:00:00.000","endDateTime":"2024-01-07T00:00:00.000"},"parameter":[]},"note":[{"value":"[ALL:01646500]","title":"filter:sites"},{"value":"[mode=RANGE, modifiedSince=null] interval={INTERVAL[2024-01-01T00:00:00.000-05:00/2024-01-07T00:00:00.000-05:00]}","title":"filter:timeRange"},{"value":"methodIds=[ALL]","title":"filter:methodId"},{"value":"2026-10-26T19:06:12.436Z","title":"requestDT"},{"value":"4f6e0a30-d170-11f1-a535-005056beda50","title":"requestId"},{"value":"Provisional data are subject to revision. Go to http://waterdata.usgs.gov/nwis/help/?provisional for more information.","title":"disclaimer"},{"value":"caas01","title":"server"}]},"timeSeries":[{"sourceInfo":{"siteName":"POTOMAC RIVER NEAR WASH, DC LITTLE FALLS PUMP STA","siteCode":[{"value":"01646500","network":"NWIS","agencyCode":"USGS"}],"timeZoneInfo":{"defaultTimeZone":{"zoneOffset":"-05:00","zoneAbbreviation":"EST"},"daylightSavingsTimeZone":{"zoneOffset":"-04:00","zoneAbbreviation":"EDT"},"siteUsesDaylightSavingsTime":true},"geoLocation":{"geogLocation":{"srs":"EPSG:4326","latitude":38.94977778,"longitude":-77.12763889},"localSiteXY":[]},"note":[],"siteType":[],"siteProperty":[{"value":"ST","name":"siteTypeCd"},{"value":"020700081005","name":"hucCd"},{"value":"24","name":"stateCd"},{"value":"24031","name":"countyCd"}]},"variable":{"variableCode":[{"value":"00060","network":"NWIS","vocabulary":"NWIS:UnitValues","variableID":45807197,"default":true}],"variableName":"Streamflow, ft³/s","variableDescription":"Discharge, cubic feet per second","valueType":"Derived Value","unit":{"unitCode":"ft3/s"},"options":{"option":[{"value":"Mean","name":"Statistic","optionCode":"00003"}]},"note":[],"noDataValue":-999999.0,"variableProperty":[],"oid":"45807197"},"values":[{"value":[{"value":"8930","qualifiers":["A"],"dateTime":"2024-01-01T00:00:00.000"},{"value":"7760","qualifiers":["A"],"dateTime":"2024-01-02T00:00:00.000"},{"value":"6860","qualifiers":["A"],"dateTime":"2024-01-03T00:00:00.000"},{"value":"6050","qualifiers":["A"],"dateTime":"2024-01-04T00:00:00.000"},{"value":"5430","qualifiers":["A"],"dateTime":"2024-01-05T00:00:00.000"},{"value":"5480","qualifiers":["A"],"dateTime":"2024-01-06T00:00:00.000"},{"value":"7410","qualifiers":["A"],"dateTime":"2024-01-07T00:00:00.000"}],"qualifier":[{"qualifierCode":"A","qualifierDescription":"Approved for publication -- Processing and review completed.","qualifierID":0,"network":"NWIS","vocabulary":"uv_rmk_cd"}],"qualityControlLevel":[],"method":[{"methodDescription":"","methodID":68478}],"source":[],"offset":[],"sample":[],"censorCode":[]}],"name":"USGS:01646500:00060:00003"}]},"nil":false,"globalScope":true,"typeSubstituted":false}

Write a source ledger with site identifier, parameter 00060 for discharge, statistic 00003 for daily mean, and the January 1–7, 2024 station dates. The unit ft³/s means cubic feet of water per second. It is a volume rate, not a water depth, reservoir storage or volume per day.

Read the date and quality information

The source provides station daily-statistic labels. Its midnight date strings have no explicit offset, so do not relabel them as instantaneous UTC observations. Site metadata identifies EST and EDT; January uses EST, and these seven daily bins each last 24 hours. The retained retrieval date describes when the archive was obtained, not when the river flowed.

Every selected value has qualifier A: the response metadata describes completed processing/review and approval for publication. This is not a quantified uncertainty interval or a promise that estimates can never be revised. No value is missing in this seven-day selection. In another selection, an unavailable discharge must remain unavailable rather than becoming zero.

The exact USGS daily-value request identifies the selection. USGS explains streamflow measurement through stage observations, discharge measurements and relationships used to estimate flow. Do not call this series seven direct instantaneous flowmeter readings.

Compare values without inventing a trend

January 1 has daily mean discharge 8,930 ft³/s; January 5 has 5,430. Subtract later minus earlier: 5,430 − 8,930 = −3,500 ft³/s. January 7 rises to 7,410, so a statement that every successive day decreases is contradicted by the supplied record.

Make a paper line plot with date on the horizontal axis and daily mean discharge on the vertical axis. Label the line as a guide between daily statistics. It does not reconstruct every intervening second or show the largest instantaneous flow within a day. Seven days also do not establish a long-term climate trend or a drought classification.

Convert a rate into a bin volume

January 1’s mean multiplied by its duration gives 8,930 ft³/s × 86,400 s = 771,552,000 ft³. Seconds cancel, leaving a volume. Using 1 ft³ = 0.028316846592 m³ gives approximately 21.85 million m³. The long conversion constant is exact for the unit definition; it does not create matching precision in the source estimate.

Sum the seven daily volumes to obtain 4,140,288,000 ft³ over the selected week. This is water passing the monitoring section under the daily-mean representation. It is not automatically available for school withdrawal, nor does it specify downstream requirements, water rights, treatment needs or safe flood conditions. An actual allocation study needs additional boundaries and evidence.

Record one supported comparison and one rejected inference in your reflection. A valid statement names the station and interval. A rejected inference might assert that the fictional reservoir capacity was measured from this river record; no such connection exists.

Transfer: distinguish mean flow from peak flow

An unfamiliar fictional station reports a daily mean of 2 m³/s over a 24-hour bin. Calculate bin volume. Can you infer that every moment had flow 2 m³/s, or determine its peak? Answer before opening the explanation.

Check the streamflow-evidence transfer

Volume is 2 × 86,400 = 172,800 m³. A daily mean does not determine every instantaneous value or the peak. Many within-day patterns share this mean. This stipulated transfer is distinct from the observed USGS series and does not establish independent field technique.

Apply

A daily mean of 2 m3/s over 24 hours determines:

Public practice checks a specific claim. It does not establish independent mastery.

Explain why the real river record is independent of the fictional reservoir controls.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

Skipping retains experiments and awards no mastery.

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