Mental Fast Food™ · 04 · Research by-product · Active research thread
What the water balance cannot see
The Carpathian Basin is water-rich and drier every year. Both are true — and the explanation lies not in the weather but in what our measuring instrument actually measures.
00 · The question
Quoting your salary is not quoting your balance
If someone asks whether you are wealthy and you quote your monthly salary, you told the truth — just not to that question. Salary flows through you; the balance is what stays.
The Carpathian Basin is water-rich: the usual figure is roughly 11,000 m³ per person per year. That number is true, and it is a salary. Yet the basin grows drier every year — because a salary says nothing about what is left in the account.
This page is about how the measuring instrument itself decides what we notice. If we measure only throughput, then retention — a reservoir, a marsh, a recharged soil profile — leaves no trace on the balance at all.
01 · The balance
What the national water balance actually measures
The Hungarian water balance is a good instrument: consistent, well researched, with decades of time series — one of the best documented systems in the basin. It tracks four items per year, in cubic kilometres:
The four items · km³/yr
In: 58 from precipitation + 114 across the border = 172
Out: 52 by evaporation + 120 across the border = 172
Source: OVF (Hungarian General Directorate of Water Management), MeRSZ, Hidrológiai Közlöny.
All four items are throughput: how much water passes through in a year. For decades that was exactly the right question — what mattered was whether the water fitted in the channel. Today the question is how much stays here, and for how long. The balance cannot answer that, because it contains no item measuring the water that is actually here.
02 · The bathtub
The same flows in and out — and the tub can still be empty
Picture a bathtub with water running in and the same amount running out. Throughput is constant. How much sits in the tub meanwhile is decided by one thing only: how long a drop stays before it leaves. Call it residence time.
Water retention — a reservoir, a marsh, a recharged soil profile — increases exactly this: it leaves throughput unchanged and raises what is held. That is why it does not show on the present balance, and why a second number is needed beside the four.
Interaction · pull the plug
6 months
Throughput stays the same throughout. You only set how long a drop remains — and the tub fills or empties accordingly.
03 · The six
The difference of two large numbers, without an error bar
Domestically generated water — the water that originates here rather than arriving across the border — appears in the balance as the difference of two large numbers: 120 out minus 114 in leaves 6 km³.
Mathematically this is fine; in practice it is risky. It is like measuring two distances of about two kilometres each and deriving sixty metres from their difference: the measurement error can exceed the result itself.
Interaction · how large is the error?
±5%
6 km³
The six stays where it is, but the band around it grows fast. At about five per cent error the band is already wider than the number itself — and that decides whether the effect of an intervention can be detected at all.
One comparison says a great deal: between two publications by the same institution the large items differ by 16 km³ — almost three times the derived six. Neither states a reference period, so the reader cannot tell whether this is a decline or a methodological revision. Two things are missing from the number: which period it refers to, and what its error bar is.
04 · The decision
Who decides about the water that arrives across the border?
Most of the water reaching us originates elsewhere. Over ten years the Danube lost roughly 10 and the Tisza 30 per cent of its discharge — the measurement is made here, the decisions behind it upstream.
When several parties share a resource and nobody enforces a limit, over-extraction is not a matter of intent but the natural outcome of the situation. The Murray–Darling reform worked in Australia because it fell under a single legislature: one cap, one court, one enforcer. The Carpathian Basin instead has bilateral agreements section by section, without a basin-level plan or authority.
Our own accounts are unsettled too: on some Tisza water bodies utilisation exceeds 100%, and the State Audit Office puts the number of unlicensed wells as high as a hundred thousand. In such a state a market instrument — water trading — would merely price uncovered demand. The order is fixed: measurement and a cap first, trading after.
05 · What we lose
The question "is it drying?" already has an answer
Satellite mass measurement has run continuously since 2002, NASA issued a warning for the region in March 2026, the OECD 2026 report shows a −3% annual trend in renewable freshwater, and the domestic model for the Nyírség finds more than 5 km³ of water lost and an average 102 cm drop in the water table between 2010 and 2022. This question is settled.
Once a question is answered, further measurement adds little — the bottleneck moves elsewhere. Here it moves to what exactly we are losing, whose loss it is, and what it is worth. Three items where this is missing today: the cost of the several-metre water table decline in the Homokhátság, to whom and over what horizon; the value of evaporation as landscape cooling; and the true price of network losses — the measured 24.5%.
This is no longer a measurement question but a choice of values: we have to state what counts as a loss. That is what turns measurement into decision.
The derivations
The equations, the error propagation, the institutional and decision-theoretic model and the full source inventory are in the technical working paper: The next version of the water balance →
TakeawayA balance becomes a balance by measuring the stock as well as the flow. When you see a set of figures about a system, it is worth checking whether stock data sits beside throughput: with water this difference decides whether we know how much we have, or only how much passed through us.
Research provenance
This page comes out of research at the EQUORA Institute and captures one state of that work rather than a settled institutional position. That state rests on the findings available at the time of publication; later findings appear here only where the page has been updated, which the date shows. AI takes part throughout the research process as a thinking partner; responsibility for interpretation and publication remains human.
The Hungarian water balance, its sources, and the figures used on this page
EQUORA Institute (2026) — Water balance of the Middle Danube Basin. A live data surface for the whole basin, from Devín to Baziaș: discharge from 22 OVF gauges at quarter-hourly resolution, satellite evapotranspiration and precipitation. Every figure carries a label saying whether it is a measurement, a model output or a placeholder; the methodology is citable by DOI. basin.equora.institute →
OVF — Water resource management. The source of the 114 / 120 / 6 km³/yr figures and of the 600 m³/capita/year value: river inflow averages 114 km³/yr, outflow 120 km³/yr, so the reserve generated within the country is 6 km³/yr (5%). 95% of surface water resources originate abroad. The publication states neither a reference period nor a confidence interval. ovf.hu →
Láng István (OVF), autumn 2025 — the director-general's figures presented at the conference of the National Forestry Association, published by NAK on 14 October 2025 and reported by Qubit: inflow 98 km³/yr, outflow up to 105 km³/yr, domestically generated reserve 7.1 km³/yr (4.2 surface runoff + 2.9 groundwater recharge), precipitation 59 km³, evapotranspiration 51 km³, annual groundwater deficit 0.6 km³ = 3–5 cm of decline. The second figure set on this page comes from here. qubit.hu →
Litkai Gergő (2026) — A hazai vízkassza Balatonokban. A sourced analysis of the Hungarian water balance, denominated in Lake Balaton units. The starting material for this page: it is not a single figure of it that this page questions, but the estimator — of which the article is the best domestic example. Its closing point on the five working international examples (measurement, price, entitlements, responsible institution first, concrete afterwards) is the direct input to step 2. linkedin.com →
OVF — Investigating changes in subsurface water reserves. The Nyírség model: between 2010 and 2022 the rock volume saturated with groundwater fell by 5.21 km³, which means 1.042 billion m³ of water deficit and 102 cm of average groundwater level decline. This is the domestic precedent for measuring the state variable S rather than the flux. ovf.hu →
State Audit Office (2025) — Report on the implementation of the National Water Strategy (25024). Between 2013 and 2018 unlicensed subsurface abstraction averaged 133.6 million m³/yr, and the number of illegal agricultural wells may reach one hundred thousand. The basis for the claim in step 2 that the current state lies outside the permitted set. asz.hu →
Báder László (2023) — Hungary's water balance and climate change: evapotranspiration as a climate service. Hidrológiai Közlöny 2023/1. Evapotranspiration is 538 mm/yr — 89% of precipitation — with a +0.42 mm/yr trend; it functions as temperature regulation, and sustaining the cooling of the landscape would require more additional water than the entire residential, industrial and agricultural demand combined. The first item in the loss function of step 3. real.mtak.hu →
Hidrológiai Közlöny (2026) — Estimating low-flow resources: a methodological overview. Prepared during the Integrated National Water Resource Management Plan (IVOT) of the VGT3, it addresses the changes observed in our water resources in recent decades and the water reserves entering across our border sections. It states that the water resources generated beyond our borders, vital to us, are also used by the neighbouring countries, and this will only intensify. The domestic literature behind the N-actor argument of step 2. ojs.mtak.hu →
Válasz Online (2025) — Lakes in the desert? Recharging the Homokhátság. The historical and contemporary plans for recharging the Homokhátság, traced back to a 1992 article in Petőfi Népe; also the source of the OVF deputy director-general's statement that the Danube lost 10% and the Tisza 30% of its discharge in ten years. valaszonline.hu →
NASA GRACE-FO — the satellite pair has measured the mass anomaly of surface and subsurface water bodies by gravimetry since 2002, independently of national borders. NASA issued a warning in March 2026 concerning Hungary, Slovakia and the surrounding region. The instrument that measures the state variable S directly. grace.jpl.nasa.gov →
VGT3 (2021) — Hungary's River Basin Management Plan. The water-body delineation — the unit for the abstraction cap of step 2 — and the climatic water deficit figures: up to 350 mm/yr in the middle of the Great Plain, 28 drought years out of 100. vizeink.hu →
Wheeler et al. / Journal of Hydrology (2024) — the 2012 Murray–Darling Basin Plan: mandatory, scientifically grounded abstraction caps and the return of 2,750 gigalitres per year to the environment. The example of step 2: the reform was thinkable because one basin lay under one legislature. sciencedirect.com →
MaVíz (2024) · KSH STADAT — an estimated 138.8 million m³ of network loss and a 24.5% average sales loss; according to the KSH, of 643.2 million m³ of drinking water produced in 2023, 472.4 million m³ reached consumers. The third item in the loss function of step 3. ksh.hu →
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