Fisher Shannon analysis of drought/wetness episodes along a rainfall gradient in Northeast Brazil

Abstract

We applied the informational approach of the Fisher-Shannon method to study the time series of Standardized Precipitation Index (SPI) derived from monthly rainfall data at 133 gauging stations in Northeast (NE) Brazil. The climate in the study region ranges from tropical humid in the coastal area Zona de Mata to tropical semiarid inland Sertão, passing through a sub-humid transition region Agreste. The time span is from 1962 to 2012, and SPI was calculated for 1, 3, 6, and 12-month time scales. We calculate information quantifiers Shannon entropy power (SEP) and Fisher information measure (FIM) that quantify signal disorder and structural organization, respectively, and define its position in the Fisher Shannon plane (FS). We find that the SPI-1 series that describes short term dry/wet conditions display a higher degree of organization (higher FIM) and a lower degree of disorder (lower SEP) than SPI's that describe medium and long term conditions (SPI-3, SPI-6, and SPI-12). By analysing the spatial distribution of information quantifiers, we find that short term dry/wet conditions (SPI-1) show the lowest disorder and highest organization degree in the deep inland Sertão region and highest disorder and lowest organization degree in the coastal Zona de Mata region, while long term conditions (SPI-12) show the opposite trend. For medium-term conditions (SPI-3 and SPI-6), the SEP is highest and FIM lowest in the transition sub-humid Agreste region. Our findings indicate that information theory-based methods, particularly FS have the potential to discriminate among different climatic regimes.

Space-Time Variability of Drought Characteristics in Pernambuco, Brazil

“…In both spring and winter, there was an increase from west to east in the median drought intensity values, from 0.85 (light drought) to 1.14 (moderate drought) in spring and 0.94 (light drought) to 1.26 (moderate drought) in winter. The distinction between these regions was also observed when evaluating the persistence, disorder, and structural organization of dry/wet conditions [97,98]. As can be seen in Figure 11, droughts (at least light droughts) were identified in all the years and at all the scales considered, thus reflecting the normalization of drought in the state of Pernambuco.…”

“…In both spring and winter, there was an increase from west to east in the median drought intensity values, from 0.85 (light drought) to 1.14 (moderate drought) in spring and 0.94 (light drought) to 1.26 (moderate drought) in winter. The distinction between these regions was also observed when evaluating the persistence, disorder, and structural organization of dry/wet conditions [97,98].…”

Quantifying Soil Complexity Using Fisher Shannon Method on 3D X-ray Computed Tomography Scans

“…The Fisher-Shannon method consists of a joint analysis of Fisher information measure (FIM), which quantifies the amount of organization (or order) in a signal, and Shannon entropy (SE) which quantifies the amount of disorder [37]. Fisher introduced the FIM concept in the statistical estimation theory [39], and it was subsequently used to describe physical systems [40,41], as well as for time series analysis in geophysics [42,43], ecology [44], astrophysics [45], meteorology [46,47], hydrology [48], and social science [49].…”

Ajuste de distribuições de probabilidade à precipitação mensal no estado de Pernambuco – Brasil

“…A precipitação é um dos principais temas encontrados na literatura por ser um dos principais componentes do ciclo da água e interferir diretamente na disponibilidade de recursos hídricos do planeta terra. O conhecimento da variabilidade da precipitação em diferentes escalas temporais e espaciais é essencial para o desenvolvimento de medidas de curto e longo prazo para suavizar riscos relacionados à água, como inundações e secas que podem comprometer diretamente a economia de uma região (Silva, Menezes, Telesca, Stosic, & Stosic, 2020;Santana, Silva, Menezes, & Stosic, 2020).…”