Monday, March 15, 2021

Translating MARRmoT representation of models into the Extended Petri Net

 MARRmoT is a toolbox containing several Rainfall-Runoff models. The paper and the description of the toolbox is here. The operation is a smart initiative to include many of the commonly used models in a single place and let the users decide which model is more suitable to their cases. 

Our main interest here is actually devoted to the supplemental material present in MARRmoT where the Authors present the 46 models of the version 1.2. The presentation is clear and well illustrated trough the traditional use of reservoirs. Here I made an exercise for my students in transforming the MARRmoT representation into the  EPN one. EPN, as deducible from the title are  diagrams that allows to represent any Dynamical System (in mathematical or system and control science meaning) with graphics which have a one-to-one correspondence with the equations. To learn briefly how they works, please refer to  these other posts.  We wrote a couple of papers, which are cited below,  describing them and showing how to exploit some of their capabilities. 
From the educational point of view I realized that the students are quite helped and in using them they have a better understanding, and, moreover, a method, to grasp what the lumped hydrological models contains. So, anyone interested, can  find the presentation by clicking on the Figure above and my short talk in the video below.

I gave as an exercise to the class the duty to transform the remaining MAARmoT models into the EPN, and we'll see soon the results.

References

Bancheri, Marialaura, Francesco Serafin, and Riccardo Rigon. 2019. “The Representation of Hydrological Dynamical Systems Using Extended Petri Nets (EPN).Water Resources Research 55 (11): 8895–8921.

Rigon, Riccardo, and Marialaura Bancheri. 2020. “On the Relations between the Hydrological Dynamical Systems of Water Budget, Travel Time, Response Time and Tracer Concentrations.” Hydrological Processes, no. hyp.14007 (December). https://doi.org/10.1002/hyp.14007.

Rigon, Riccardo, and Marialaura Bancheri. 2020. “On the Relations between the Hydrological Dynamical Systems of Water Budget, Travel Time, Response Time and Tracer Concentrations., Supplemental material” Hydrological Processes, no. hyp.14007 (December). https://doi.org/10.1002/hyp.14007.

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