You know your euros.
Do you know your tonnes?

Our craft is material flow analysis: counting what comes in, what goes out, what gets lost. Where a price exists, the tonnes give you the euros. Elsewhere they don't: rainwater has no price, a farm subsidy has no tonnes. We keep both ledgers in one model, without forcing either into the other. To get started, our Sankey diagram editor is free, online, no account needed.

The same flows in tonnes…

Sankey diagram of the physical flows of the Beaufort cheese chain in the Maurienne valley: water, fodder, grazed biomass, milk, cheese and co-products, in tonnes

× price €/t

…and in euros

Sankey diagram of the money flows of the Beaufort cheese chain in the Maurienne valley: farm costs, CAP subsidies, sales of Beaufort and co-products, in euros
One model, two ledgers. Prices link the flows that are bought and sold — not the drinking water on the left, not the CAP subsidies on the right.

What the flows reveal

Two readings of the same model — and what only ever appears on one side.

Euros, right to left

Where the money comes from, where it goes. A sector that depends on one subsidy, an outlet that weighs too much: financial risks show at a glance.

Tonnes, left to right

What comes in, what goes out, what gets lost. An imported resource, water, energy: physical dependencies appear on the same diagram.

And what exists on one side only

Rainwater, grazed biomass, manure spread on the fields: tonnes with no price. Farm subsidies, volunteer labour: euros with no tonnes. These are often the flows that weigh heaviest — a model that drops them because they don't convert misses the point.

Together the three show where your supply chain is solid — and where it breaks.

From raw data to a published diagram

Import, reconciliation, styling, publication: watch the full pipeline unfold, from raw data to a published diagram.

At the heart of the pipeline, the computation that makes your numbers consistent:

Your data, estimated separately 28 t material flow × 0.45 €/t price = 14 M€ money flow 28 × 0.45 = 12.614 — the numbers don't add up Reconciliation under constraints tonnes, prices and euros adjusted together 30 t material flow × 0.50 €/t price = 15 M€ money flow 30 × 0.50 = 15 — one model, numbers that hold

This equality only binds the flows that have a price. A material flow with no price, a money flow with no matter behind it: the model carries them as they are, without inventing a counterpart.

At every scale

Statistics exist at the national scale. Decisions are made in a territory. Our downscaling method, born from Inria research on territorial metabolism, distributes national flows region by region, down to the territory, with confidence intervals. The same model reads from the whole country to a single valley: zoom out for the global stakes, zoom in for the local risks. See the method →

One engine, three levels of depth

OpenSankey and the two MFASankey editions share the same engine. Start with a drawing. End with a defensible material balance — each tier brings your diagrams closer to the full model, where materials and value line up.

OpenSankey

The free, open-source editor. Draw and style Sankey diagrams, import 3-column data, export images. No account needed.

Start drawing

MFASankey Dataviz

Professional dataviz: hierarchical nodes with drill-down, data tags to switch years/scenarios, views, published interactive diagrams you can embed anywhere.

See pricing

MFASankey Réconciliation

The MFA engine: data reconciliation under constraints, uncertainty propagation, completion from as little as 10% of measured data. Excel in, balanced flows out.

See pricing

Coming from another tool?

Your existing work opens directly, with no retyping.

MFASankey is the new generation of Sankey and material-flow-analysis software. It inherits what its elders do best — the immediacy of SankeyMATIC, the scientific rigour of STAN, the industrial polish of e!Sankey — and adds what none of them offer: unfolding a node into its sub-flows and folding it back, computing intervals when the data is uncertain, and reconciling tonnes, prices and euros.

From STAN

Open your .smfa files directly and keep working on your models in the browser.

What we learned from STAN →

From SankeyMATIC

Paste your source [value] target text as-is, including colors and layout settings. Then make it interactive.

What we learned from SankeyMATIC →

From e!Sankey

Browser-based, transparent public pricing, and an actual reconciliation engine: not just balance checks.

What we learned from e!Sankey →

Built on real studies, not demos

Fifteen years of cumulated experience mapping agriculture, forestry, waste, biomass and energy flows for public agencies and industry. Studies that already link tonnes and euros: physical and economic supply-use tables, value build-up along the forest-wood chain, carbon coupling.

Energy flows in France: Metabol'Heat project
Energy

Energy flows in France: Metabol'Heat project

2025–2026

Half of France's final energy consumption goes to thermal uses — yet heat flows remain the least well described part of the energy system. For the CNRS Environnement Ville Société laboratory's ANR project Metabol'Heat, this national map follows energy from primary supply to end uses, useful and dissipated heat included.

Waste flows of the Pays Voironnais
Waste

Waste flows of the Pays Voironnais

2024–2026

What becomes of a territory's waste once it has been collected? For the waste management department of the Pays Voironnais urban community — 31 municipalities, 95,600 inhabitants, an in-house service handling more than 53,000 tonnes a year — this publication retraces three stages of a single journey. First a demonstration: the "flows" double page of the annual report, a process diagram whose links all have the same thickness, turned into a Sankey where proportions are finally carried by the drawing. Then an interactive map, commissioned in 2024, whose single flow graph reads from four angles — geographical destination, collection mode, waste type, and the crossing of the last two.

Agricultural supply chains: SOCLE project
Agriculture

Agricultural supply chains: SOCLE project

2025–2027

SOCLE (ADEME) extends RefFlux: building, over several years, a base platform for modelling French agricultural supply chains — production, processing and trade combined into reconciled mass balances, updated as annual data comes in.

Forest-wood flows: BACCFIRE project
Forest & Wood

Forest-wood flows: BACCFIRE project

2023–2025

Four years of work on the fate of carbon along the flows of the French forest-wood chain: the BACCFIRE project (ADEME GRAINE, coordinated by the ONF) consolidates the methods for assessing wood's three climate effects — forest sequestration, storage in products, substitution of more emitting energy and materials.

Browse all studies →

They trust us

National agencies, research institutes, technical institutes and local authorities.

The method, in video

Why material flow analysis and Sankey diagrams help steer sustainable supply chains: explained on the wood value chain.

What our clients say

TerriFlux’s tools made it possible to assess the material flows of the Savoie wood sector, from the forest to primary processing.
Thibault Guiraudie Pôle Excellence Bois, Savoie
With TerriFlux’s tools we built a complete national reference base covering 10 agricultural sectors, available online on the RMT Filarmoni website.
Boris Duflot Head of economics, IDELE — French Livestock Institute
TerriFlux has strong expertise in collecting, extracting and visualising flow data. It masters an innovative technique for reconciling incomplete or inconsistent data.
Nicolas Tonnet ADEME — deputy head, Renewable Heat Department

Who we are

TerriFlux is a deep-tech worker cooperative (SCOP) spun off from Inria, the French national institute for computer science. Our reconciliation engine comes from peer-reviewed research on territorial metabolism. We work with ADEME, INRAE, IGN and regional agencies, and everything we build ships in the open: the editor is open source.

Nine R&D projects since 2022 (with ADEME, INRAE, CNRS and Bpifrance) and open-access publications back everything we ship.

Why we do this

Physical flows have never been larger nor more invisible, and no statutory accounting measures them. Our manifesto.

Read the manifesto →

Who will answer you

A small team doing all of it: the method, the code, the studies. The people, their backgrounds, and the research partner who links us to the lab.

Meet the team →

Where it comes from

From a 2016 Inria PhD to contracts with IGN and FranceAgriMer: thirteen years of flow analysis, projects and publications included.

Our story →