Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods
Shamseena Vahab,
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S. Adarsh
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Fractal and Fractional,
Journal Year:
2025,
Volume and Issue:
9(1), P. 27 - 27
Published: Jan. 6, 2025
Complexity
evaluation
of
hydro-climatic
datasets
is
a
challenging
but
essential
pre-requisite
for
accurate
modeling
and
subsequent
planning.
Changes
in
climate
anthropogenic
interventions
amplify
the
complexity
time-series.
Understanding
persistence
fractal
features
may
help
us
to
develop
new
robust
frameworks
which
can
work
well
under
non-stationary
non-linear
environments.
Classical
hydrology,
rooted
statistical
physics,
has
been
developed
since
1980s
modern
alternatives
based
on
de-trending,
complex
network,
time–frequency
principles
have
2002.
More
specifically,
this
review
presents
procedures
Multifractal
Detrended
Fluctuation
Analysis
(MFDFA)
Arbitrary
Order
Hilbert
Spectral
(AOHSA),
along
with
their
applications
field
hydro-climatology.
Moreover,
study
proposes
network-based
analysis
(CNFA)
framework
multifractal
daily
streamflows
as
an
alternative.
The
case
proves
efficacy
CNMFA
shows
that
it
flexibility
be
applied
visibility
inverted
schemes,
effective
comprising
both
high-
low-amplitude
fluctuations.
comprehensive
showed
more
than
75%
literature
focuses
characteristic
time-series
using
MFDFA
rather
modeling.
Among
variables,
about
70%
studies
focused
analyzing
fine-resolution
streamflow
rainfall
datasets.
This
recommends
use
CNMF
hydro-climatology
advocates
necessity
knowledge
integration
from
multiple
fields
enhance
applications.
further
asserts
transforming
characterization
into
operational
hydrology
highly
warranted.
Language: Английский
Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
Cun Zhan,
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Renjuan Wei,
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Lu Zhao
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et al.
Scientific Reports,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: Feb. 7, 2025
Increasing
drought
events
have
threaten
electricity
supply
security
in
the
predominantly
hydropower-based
Sichuan
Province.
Wind
power
has
potential
to
complement
hydropower,
yet
its
complex
fluctuations
required
a
systematic
assessment.
Accordingly,
we
evaluated
maximum
likelihood
estimation
and
three
goodness-of-fit
tests
identify
optimal
distribution
model
of
daily
wind
speed
records
during
1961-2017
across
156
weather
stations
Province
among
six
commonly
used
probability
density
distributions.
The
study
further
analyzed
spatiotemporal
features
persistence
multifractality
various
landform
types
using
multifractal
detrended
fluctuation
analysis.
principal
outcomes
our
indicated
that
generalized
extreme
value
served
as
for
fitting
speeds
Province,
outperforming
Weibull
distribution.
Persistence
was
evident
all
series
Hurst
index
exceeds
0.5,
with
strongest
mountainous
areas
weakest
plains.
Multifractality
confirmed
by
non-linear
dependencies
Generalized
Exponent
[h(q)]
mass
exponent
[τ(q)]
on
q,
well
spectrum
widths
exceeding
0.05.
Among
types,
plains
exhibited
multifractality,
followed
plateaus,
mountains
showing
multifractality.
Long-range
correlations
were
identified
primarily
caused
narrower
both
shuffled
surrogate
series,
stronger
narrowness
series.
width
mountain
shuffle
which
slightly
exceeded
0.05,
highlighted
determinative
influence
long-range
correlations.
Considering
these
findings,
southwestern
region
emerges
area
farm
development,
given
stability
(persistence)
moderate
complexity
(multifractality),
crucial
effective
resource
utilization
hydropower-dominated
settings.
Our
provides
novel
approach
assessing
resources
offers
guidance
placement
terrain
regions,
supporting
sustainable
energy
diversification
Language: Английский
Unveiling climate complexity: a multifractal approach to drought, temperature, and precipitation analysis
Acta Geophysica,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Jan. 9, 2025
Language: Английский
Multiscale Spatiotemporal Variation Analysis of Regional Water Use Efficiency Based on Multifractals
Tong Zhao,
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Yanan Wang,
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Yulu Zhang
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et al.
Remote Sensing,
Journal Year:
2024,
Volume and Issue:
16(22), P. 4269 - 4269
Published: Nov. 16, 2024
Understanding
the
complex
variations
in
water
use
efficiency
(WUE)
is
critical
for
optimizing
agricultural
productivity
and
resource
management.
Traditional
analytical
methods
often
fail
to
capture
nonlinear
multiscale
inherent
WUE,
where
multifractal
theory
offers
distinct
advantages.
Given
its
limited
application
WUE
studies,
this
paper
analyzes
spatiotemporal
characteristics
influencing
factors
of
Anhui
Province
from
2001
2022
using
a
multifractal,
approach.
The
results
indicated
that
exhibited
significant
interannual
variation,
peaking
summer,
especially
August
(2.4552
gC·mm−1·m−2),
with
monthly
average
showing
an
inverted
“V”
shape.
Across
different
spatial
temporal
scales,
displayed
clear
characteristics.
Temporally,
variation
fractal
features
between
years
was
not
prominent,
while
inter-seasonal
most
during
summer.
Spatially,
patterns
were
observed
hilly
mountainous
areas,
particularly
regions
brown
soil
distribution.
Rainfall
identified
as
primary
natural
driver
regional
changes.
This
study
aims
promote
sustainable
resources
ensuring
stability
production
within
protected
farmlands.
Language: Английский