Welcome to the 2025 Hydrological Modeling Class!
To better understand the materials provided:
- Storyboards – Summaries of the lectures, usually in Italian.
- Whiteboards – Explanations of specific topics, presented on a whiteboard using Notability on an iPad.
- Slides – Commented in English (available since 2021).
- Videos – Recorded during lectures to complement the slides, with no editing (as post-production would be too time-consuming).
- 2025 videos are available on a [Vimeo Showcase] (link here).
- Additional information & references – Marked in italics, for the curious and the brave who want to explore further.
📅 24 February 2025– Part I
Syllabus & Introduction to Hydrological Modeling
In this session, I introduced the course and its learning-by-doing philosophy. We cover all theoretical concepts first, followed by the practical applications (with Professor Giuseppe Formetta).
To begin is also worth to have a little (philosophical) analysis of what a model is. This is what done in the following parte of the lecture
📅 25 February 2025 – Geomorphometry
This session begins with a discussion of previous lesson topics and the rationale behind introducing geomorphometric concepts. Since catchments are spatially extended, understanding their geometry is essential for studying catchment hydrology.
In the first part, we focus on the geometrical and differential characteristics of topography, including:
- Elevation
- Slope
- Curvature
These parameters are fundamental for extracting the river network and identifying different parts of a catchment.
We then define drainage directions and explore how they are computed using Digital Elevation Models (DEMs)—where topography is discretized on a regular grid. From these drainage directions, we determine the total contributing area at each point of a DEM.
These two key characteristics allow us to:
- Identify channel heads and extract the river network.
- Define hillslopes and establish an initial framework for Hydrologic Response Units (HRUs).
- Introduction to Geomorphometry I:
- The basics of DEM analysis (All the differential geometry-derived quantities)
- Elevation, Slopes, (Vimeo2025)
- Curvatures (Vimeo2025)
- Old videos: Vimeo 2024, Vimeo 2024, Vimeo 2023 - Part I, Vimeo_2023-Part II, Vimeo 2023 Curvatures) Vimeo 2022 part I, Vimeo 2022, part II, Vimeo2021, YouTube video 2019,YouTube2020, Sintesi in Italiano 2020
- Hydrogeomorphology: the derived quantities, drainage directions and contributing areas (Vimeo2025)
- (Vimeo2024, Vimeo 2023, Vimeo 2022, Vimeo2021, YouTube video 2019,YouTube2020, Sintesi in Italiano 2020)
- On the estimation of tangential stresses in a curved topography (Whiteboard 2020)
- References for who wants to go deeper
- Peckham, R. J., and G. Jordan. 2007. Digital Terrain Modelling: Development and Applications in a Policy Support Environment. Edited by Robert Joseph Peckham and Gyozo Jordan. New York: Springer, Berlin, Heidelberg. Lecture Notes In Geoinformation and Cartography.
- A Storyboard Italian regarding the geomorphic laws
- Where do channels begin: Extracting channels and hillslope (Vimeo2025)
- (Vimeo 2024, Vimeo2022, Vimeo 2023)
- Old classes: YouTubeVideo 2020 b, Sintesi in Italiano 2020
- Old a little different but useful material: extracting the hillslope (YouTube Video 2019,YouTube2020)
- Channel heads move (Vimeo 2024)
📅 3 March 2025
- A brief overview about geomorphic laws regarding the river networks and catchments (Vimeo2025).
- Old Classes: Vimeo 2021, Vimeo2022,Vimeo 2024
- Additional information and references
- Part of the above but presented in a different way. Topological classification of catchments elements:
- Horton-Strahler Ordering (Whiteboard2020);
- Pfafstetter (Whiteboard2020; an alternative presentation here) and
- other ordering schemes (Whiteboard 2020 here).
- Rigon, Riccardo, Ignacio Rodriguez-Iturbe, Amos Maritan, Achille Giacometti, David G. Tarboton, and Andrea Rinaldo. 1996. “On Hack’s Law.” Water Resources Research 32 (11): 3367–74.
- Detecting the human landscape (please try to read and summarize the main concepts): Cao, Wenfang, Giulia Sofia, and Paolo Tarolli. 2020. “Geomorphometric Characterisation of Natural and Anthropogenic Land Covers.” Progress in Earth and Planetary Science 7 (1): 2.
- Other references:
- Older classes in Italian
- Geomorphology with References
- Various information from the AboutHydrology Blog
- R.Rigon, E. Ghesla, C. Tiso and A. Cozzini, The Horton Machine, pg. viii, 136, ISBN 10:88-8443-147-6, University of Trento, 2006
- W. Abera, A. Antonello, S. Franceschi, G. Formetta, R Rigon , "The uDig Spatial Toolbox for hydro-geomorphic analysis" in Geomorphological Techniques, v. 4, n. 1 (2014), p. 1-19
- Getting the sense of what we are doing (Vimeo2025, Vimeo2022)
- Hydrological data (Storyboard2020 in Italian)
- To which data are we interested in and where can we find them ? (In English)
- Ground data and their interpolation (Vimeo2025)
- Vimeo2024, Vimeo2022, Vimeo 2021, Zoom2020
- Thiessen Polygons (Storyboard2020 in Italian)
- Inverse distance Weighting (Storyboard 2020 in Italian)
- Introduction to Kriging Theory:
- Summary (Vimeo2025)
- Vimeo 2021, Vimeo2022, Vimeo2024
- Building the system to solve ( Storyboard 2020),
- the Kriging's equations (Vimeo2025)
- YouTube2019, Vimeo 2021, YouTube2020, Zoom2020, Vimeo2022, Vimeo2023, Vimeo2024 part1, Vimeo2024 part
📅 10 March 2025
- Catching the errors of estimates (Vimeo2025)
- Flow chart and Various types of Kriging (Vimeo2024)
- The Normal score (Vimeo2023)
- Some tools available in OMS3 (Vimeo2022)
- Additional material:
- References:
- Marialaura Bancheri, Francesco Serafin, Michele Bottazzi, Wuletawu Abera, Giuseppe Formetta, and Riccardo Rigon, The design, deployment, and testing of kriging models in GEOframe with SIK-0.9.8, Geosci. Model Dev., 11, 2189–2207, 2018 https://doi.org/10.5194/gmd-11-2189-2018
- Andràs Bardossy, Introduction to Geostatistics, year unknown.
- Goovaerts, P. (1997). Geostatistics for Natural Resources Evaluation (pp. 1–488). New York : Oxford University Press.
- P.K. Kitanidis, Introduction to GEOstatistics, 1997 https://doi.org/10.1017/CBO9780511626166
- Mitas, Lubos, and Helena Mitasova. 1999. “Spatial Interpolation.” Geographical Information Systems: Principles, Techniques, Management and Applications 1 (2). http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.224.5959&rep=rep1&type=pdf.
- G. Raspa, Dispense di Geostatistica Applicata, Università di Roma 3, 2010
2025-03-13-Hydrological Models
- Catchment processes
- Hydrological Models
- Seven steps in hydrological modelling I: clarifying the purposes, geomorphology, pre-analysis of input data
- Integral Distributed Model or Hydrological Dynamical Systems, HDSys
- The representation of Hydrological Dynamical System
- Seven steps in hydrological modelling II: setup, model calibration/execution/validation (Vimeo2024)
- Seven steps in hydrological modelling III: delivery the results, final deployment to stakeholders (Vimeo2024)
- DARTHs (Digital Twins of Earth System) (Vimeo2024)
- A new way to do models (Vimeo2024)
- A final view on Hydrological Dynamical Systems and their application to catchments.
- Hypothesis testing in Hydrological Modelling with HDSys (At the whiteboard)
- Further readings:
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