Multifractal and joint multifractal analysis of soil micronutrients extracted by two methods along a transect in a coarse textured soil

2020 ◽  
Vol 72 (2) ◽  
pp. 608-622
Author(s):  
Ênio Farias de França e Silva ◽  
Aitor García‐Tomillo ◽  
Diego Henrique Silva de Souza ◽  
Eva Vidal‐Vázquez ◽  
Glécio Machado Siqueira ◽  
...  
Keyword(s):  
Multifractal Analysis ◽  
Joint Multifractal Analysis

Joint Multifractal Analysis of Crop Yield and Terrain Slope

2000 ◽  
Vol 92 (6) ◽  
pp. 1279-1290 ◽  
Author(s):  
Alexandra N. Kravchenko ◽  
Donald G. Bullock ◽  
Charles W. Boast
Keyword(s):  
Crop Yield ◽  
Multifractal Analysis ◽  
Terrain Slope ◽  
Joint Multifractal Analysis

Multifractal and joint multifractal analysis of general soil properties and altitude along a transect

2018 ◽  
Vol 168 ◽  
pp. 105-120 ◽  
Author(s):  
Glécio M. Siqueira ◽  
Ênio F.F. Silva ◽  
Eva Vidal-Vázquez ◽  
Antonio Paz-González
Keyword(s):  
Soil Properties ◽  
Multifractal Analysis ◽  
Joint Multifractal Analysis

scholarly journals Joint multifractal analysis based on wavelet leaders

2017 ◽  
Vol 12 (6) ◽  
Author(s):  
Zhi-Qiang Jiang ◽  
Yan-Hong Yang ◽  
Gang-Jin Wang ◽  
Wei-Xing Zhou
Keyword(s):  
Multifractal Analysis ◽  
Wavelet Leaders ◽  
Joint Multifractal Analysis

Exploring the relationship between nitrogen dioxide and ground-level ozone by applying the joint multifractal analysis

2009 ◽  
Vol 167 (1-4) ◽  
pp. 675-684 ◽  
Author(s):  
Francisco J. Jiménez-Hornero ◽  
Jorge E. Jiménez-Hornero ◽  
Eduardo Gutiérrez de Ravé ◽  
Pablo Pavón-Domínguez
Keyword(s):  
Nitrogen Dioxide ◽  
Multifractal Analysis ◽  
Ground Level ◽  
Ground Level Ozone ◽  
Joint Multifractal Analysis ◽  
The Relationship

scholarly journals Joint multifractal analysis: further developments and implementation on rainfall data

2019 ◽  
Author(s):  
Auguste Gires ◽  
Ioulia Tchiguirinskaia ◽  
Daniel Schertzer
Keyword(s):  
Multifractal Analysis ◽  
Liquid Water Content ◽  
Relative Strength ◽  
Rainfall Data ◽  
Cascade Process ◽  
Suggested Approach ◽  
Single Scale ◽  
Starting Point ◽  
Wide Range ◽  
Joint Multifractal Analysis

Abstract. Universal Multifractals (UM) have been widely used to simulate and characterize, with the help of only two physically meaningful parameters, geophysical fields extremely variable across wide range of scales. Such framework relies on the assumption that the underlying field is generated through a multiplicative cascade process. Derived analysis techniques have been extended to study correlations between two fields not only at a single scale and for a single statistical moment as with the covariance, but across scales and for all moments. Such framework of joint multifractal analysis is used here as a starting point to develop and test an approach enabling to analyse and simulate correlation between (approx.) UM fields. First, the behaviour of two fields consisting of renormalized multiplicative power law combinations of two UM fields is studied. It appears that in the general case the resulting fields can be well approximated by UM fields with known parameters. Limits of this approximation will be quantified and discussed. Techniques to retrieved the UM parameters of the underlying fields as well as the exponents of the combination have been developed and successfully tested on numerical simulations. In a second step tentative correlation indicators are suggested. Finally the suggested approach is implemented to study correlation across scales of detailed rainfall data collected with the help of disdrometers of the Fresnel Platform of Ecole des Ponts (see available data at https://hmco.enpc.fr/portfolio-archive/taranis-observatory/). More precisely, four quantities are used: the rain rate (R), the liquid water content (LWC), and the total drop concentration (Nt) along with the mass weighed diameter (Dm) which are commonly used to characterize the drop size distribution. Correlations across scales are quantified. Their relative strength (very strong between R and LWC, strong between DSD features and R or LWC, almost null between Nt and Dm) is discussed.

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