On the Elaboration of an Index for Identifying SACZ Occurrences Using a Discrete Valued Bi-dimensional Singular Transform

Jean Schmith (), Vitor Camargo Nardelli (), Paul J. Harris () and Bardo E. J. Bodmann ()
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Jean Schmith: Unisinos University
Vitor Camargo Nardelli: Center for Embedded Devices and Research in Digital Agriculture (Cedra) (EMBRAPII / SENAI-RS), SENAI Innovation Institute for Sensor Systems (ISI-SIM)
Paul J. Harris: University of Brighton, Department of Mathematics
Bardo E. J. Bodmann: Federal University of Rio Grande do Sul, Post Graduate Program in Mechanical Engineering (PROMEC)

Chapter Chapter 25 in Integral Methods in Science and Engineering, 2026, pp 387-398 from Springer

Abstract: Abstract This proposal is focused on using a repository of historical climate and meteorology data to develop a method for SACZ identification. To this end we propose a Discrete Valued Bi-dimensional Singular Transform in the spirit of the Hilbert transform, which among others provides besides a local amplitude also a local phase. Here the term “local” stands for the analogue of the conception of “instantaneous” in the original Hilbert transform for time evolution analysis of non-linear systems. This transform opens a pathway to define a similarity measure, which is used to analyze phase asymmetries in the spatial distributions and is used to setup an indication index for identifying the occurrence of the SACZ formation. The elaborated conception is applied to the meteorological data of the year 2011 available from the NOAA-CIRES Twentieth Century Reanalysis (V2c) database.

Date: 2026
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DOI: 10.1007/978-3-032-04458-7_25

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