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Multifractal analysis of diurnal temperature range over Southern Spain using validated datasets

P Herrera-Grimaldi¹, A P García-Marín¹, J Estévez¹

¹Projects Engineering Area, University of Córdoba, Edificio Leonardo Da Vinci, Campus de Rabanales, Nacional IV Km396, 14071 Córdoba, Spain.

Chaos (Woodbury, N.Y.)

|July 4, 2019

Summary

This study analyzed multifractal properties of diurnal temperature range (DTR) in Southern Spain. Findings reveal regional climate heterogeneity and offer improved calibration for solar radiation and evapotranspiration models.

Area of Science:

Climatology
Nonlinear Dynamics
Geophysics

Background:

Diurnal temperature range (DTR) is vital for regional climate characterization, offering more insight than average daily temperature.
DTR is a key input for agrometeorological models estimating solar radiation and reference evapotranspiration.
Understanding DTR's complex behavior is crucial for climate change studies and model accuracy.

Purpose of the Study:

To analyze the multifractal properties of DTR across Southern Spain using validated temperature data.
To apply various multifractal approaches for detailed information across different time scales.
To improve the understanding of DTR as a climate change indicator and enhance regional model calibration.

Main Methods:

Validated maximum and minimum temperature data from 197 weather stations in Southern Spain were used.
Rigorous quality control, including range/limits and persistence tests, was applied to data.
Multifractal analysis, including moment scaling exponent K(q), multifractal dimension (D1), and multifractal degree (MD), was performed.

Main Results:

Analysis revealed differences in DTR scaling exponents (K(q)) among weather stations.
Estimated multifractal dimension (D1) and degree (MD) showed spatial heterogeneity between coastal and inland locations.
The study confirmed the multifractal nature and scale invariance of DTR over certain ranges.

Conclusions:

The nonlinear characterization of DTR enhances understanding of its role in climate change.
Identified regional heterogeneity in DTR's multifractal dynamics across Southern Spain.
Multifractal characterization enables grouping of stations with similar dynamics for improved model coefficient calibration.

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