Work

A Fractional Process with Jumps for Modeling Karstic Spring Discharge Data

Year: 2025

Type: article

Abstract: Fractal dimensions for the daily discharge data series of several karstic springs in northeast Hungary have recently been computed and analyzed. We model four of those series with similar fractal dimensions using a superposition of a fractional Ornstein–Uhlenbeck process and a jump process of renewal–reward type. Beyond some usual goodness-of-fit measures, simulations of the model show an visually appealing good fit. When the fractal dimension is not taken into account in the modeling, the simulated accumulated discharges tend to significantly exceed realistic values.

Source: Mathematics

DOI: 10.3390/math13182928

Authors: Dániel Boros, Edit Borbás, Amina Darougi, József Kovács, László Márkus

Institution: Eötvös Loránd University

Language: English

Topic: Karst Systems and Hydrogeology

Subfield: Earth-Surface Processes

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Eötvös Loránd Tudományegyetem, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap, National Research, Development and Innovation Office