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The Hydrology 2026 Lab
The lab component makes up nearly half of the course, following the motto:"Learning by doing."Throughout the lab, you will conduct at least three key numerical experiments:Time Series Analysis –...
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Digressions on the Euler Characteristic (M₃): Unlocking Pore Network Topology...
This post extends the discussion of [Minkowski functionals] by exploring the deepest topological aspects of M₃—the Euler characteristic.In our previous posts on Minkowski functionals, we established...
View ArticleWhere do we stand
Aristotle had it all wrong.Dalton, Horton, Sherman and Leopold played the starting gong.Eagleson, Rodriguez-Iturbe went for a grand theory, in which they believed.Ignacio (Vujica teaches) dated with...
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From Snow Depth to Streamflow: Reducing Snowfall Uncertainty in Alpine...
In mountainous regions, the sparse distribution of precipitation gauges at high elevations is a major source of uncertainty in snowfall estimation. This matters beyond the local scale: uncertainties...
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Three Decades of Snow Water Equivalent Dynamics in the Po River Basin, Italy:...
Seasonal snowpack is a key component of the mountain cryosphere, acting as a vital natural reservoir that regulates runoff downstream in snowfed basins. In mid- and low-elevation mountain regions such...
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GEOSPACE Validation Paper: Application and Testing in the "Spike II"...
We have just submitted a new paper — A flexible open-source modular framework for ecohydrological modeling: Application and validation of GEOSPACE-1D— by Concetta D'Amato, Paolo Benettin, Andrea...
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Stomata close to maximize transpiration ?
This is the talk I am going on EGU 2026 and I co-authored with Concetta D'Amato. It talks about the complexity behind the plant reactions to various environmental factors and the interactions that...
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The Statistical physics of unsaturated soil water: kinetic theory and non...
I am giving this talk at the EGU General Assembly 2026 in Vienna last week, in the Hydrological Sciences division. The argument, in a single sentence: Richards' equation is not wrong, but it is the...
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When the panel speaks: reading the STRADIVARI evaluation
A follow-up to "A double failure is a giant failure"The ERC Step-1 evaluation for STRADIVARI has arrived. I promised in November that when it came I would read it carefully and share what I learned....
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TACOS Project: Redefining How We Map and Model Catchments Response
A few minutes before midnight on May 31, we submitted TACOS— Transferability of soil water process understanding Across sCales for flOod and shallow landSlide prediction— to the PRIN 2026 call (Prot....
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PROMISE Project: A PROcess-based MountaIn permafrost Sensitivity indEx for...
The recent Blatten event (2025) and the cascade of slope failures of the last few summers in the Alps have made a question unavoidable for our community: where will the next cryospheric mass movement...
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For future working: A note for a comprehensive object oriented implementation...
Here is an ambition worth stating plainly: a single engine that can solve any hydrological dynamical system, where building a new model means instantiating a few new classes rather than touching the...
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Am I Running a Ponzi Scheme? On Visions, Promises, and the Responsibility of...
Paul Krugman published a piece this week calling Elon Musk a "human Ponzi scheme." The argument is sharp: Musk sustains the valuation of today's ventures by selling belief in tomorrow's promises —...
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A 30-Year 1-km Daily Precipitation and Air Temperature Dataset for the Po...
Mountains are unkind to gridded data. The processes that matter most in Alpine terrain — orographic rainfall, elevation-dependent temperature, the sharp contrasts between a valley floor and a ridge a...
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What is a DARTH, and which is its way to implement a digital twin of Hydrology ?
So what, exactly, is a DARTH? Not the software, not the cloud — the thing itself. This post is my attempt to answer, in thirteen tenets.Digital twins are everywhere now, at least we see several...
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Extended PETRI Net examples from the MARRMoT models collection
Five years ago, when we wrote that any lumped-parameter hydrological model can be represented as an Extended Petri Net, the statement had the flavor of a theorem asserted with a couple of worked...
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If not Richards, what else ?
Two soils with the same water content θ are not in the same hydraulic state. The pore-occupancy g(r) — the fraction of pores of radius r that are water-filled — distinguishes them, while θ, being an...
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Water In Soil - A MOOC
I'm happy to share that my new MOOC, SOIL – The Hydrology of Soil, is now live on the University of Trento's MOOC platform. It's free, open, and self-paced, and it's aimed at anyone who wants to...
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Richards as a limit: a derivation of Richards' equation from the Continuum...
Two quantities that have no business being related: the spectral gap of a pore network — a purely structural number, computed from the connectivity, with no flow solved anywhere — and the Stokes...
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Some about the Linear Algebra used in the Richards as a limit paper
This is the first of two posts written as a gentle companion to our recent work on the kinetic theory of unsaturated soil water and, in particular, to the derivation of Richards' equation as a...
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Understanding the Mathematics of the Richards as a limit paper
In Part 1 we built the toolkit on finite matrices: a Laplacian-like operator with \(\ker = \mathrm{span}\{\mathbf{1}\}\), the Fredholm alternative as the source of macroscopic equations, and the...
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The mathematician of slow manifolds, or: on work that waits for its readers...
A few weeks after we posted the second paper of our kinetic-theory series on arXiv — Richards' equation as a hydrodynamic limit, I received a letter from A. J. (Tony) Roberts, of the University of...
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Five Notebooks to represent water budgets from compartment models (with EPNs...
Since the paper on GEOtop (Rigon et al., 2006), which claimed that a hydrological model should look at the water and energy budgets, rather than at single fluxes, in order to gain real knowledge of the...
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