Mathematical Medicine and Biology A Journal of the IMA,
Год журнала:
2024,
Номер
41(1), С. 53 - 80
Опубликована: Фев. 29, 2024
Abstract
Altay
Prefecture,
a
typical
arid
region
in
northwestern
China,
has
experienced
the
climate
transition
from
warming-drying
to
warming-wetting
since
1980s
and
attracted
widespread
attention.
Nonetheless,
it
is
still
unclear
how
change
influenced
distribution
of
vegetation
this
region.
In
paper,
reaction–diffusion
model
climate–vegetation
system
proposed
study
impact
(precipitation,
temperature
carbon
dioxide
concentration)
on
patterns
Prefecture.
Our
results
indicate
that
tendency
growth
Prefecture
improved
gradually
1985
2010.
Under
current
conditions,
increase
precipitation
pattern
structures,
eventually
coverage
tends
be
uniform.
Moreover,
we
found
there
exists
an
optimal
where
spot
structure
remains
stable.
Furthermore,
concentration
induces
transition.
Based
four
scenarios
Coupled
Model
Intercomparison
Project
Phase
6
(CMIP6),
used
power
law
range
(PLR)
predict
scenario
for
sustainable
development
ecosystem
Proceedings of the National Academy of Sciences,
Год журнала:
2023,
Номер
120(50)
Опубликована: Дек. 7, 2023
Regular
spatial
patterns
of
vegetation
are
a
common
sight
in
drylands.
Their
formation
is
population-level
response
to
water
stress
that
increases
availability
for
the
few
via
partial
plant
mortality.
At
individual
level,
plants
can
also
adapt
by
changing
their
phenotype.
Phenotypic
plasticity
and
patterning
populations
have
extensively
been
studied
independently,
but
likely
interplay
between
two
robust
mechanisms
has
remained
unexplored.
In
this
paper,
we
incorporate
phenotypic
into
multi-level
theory
pattern
use
fascinating
ecological
phenomenon,
Namibian
“fairy
circles,”
demonstrate
need
such
theory.
We
show
changes
root
structure
plants,
coupled
with
pattern-forming
feedback
within
soil
layers,
resolve
puzzles
current
fails
explain:
observations
multi-scale
absence
theoretically
predicted
large-scale
stripe
spot
along
rainfall
gradient.
Importantly,
find
responses
unveil
wide
variety
more
effective
stress-relaxation
pathways,
compared
single-level
responses,
implying
previously
underestimated
resilience
dryland
ecosystems.
New Phytologist,
Год журнала:
2020,
Номер
229(4), С. 1911 - 1916
Опубликована: Ноя. 21, 2020
Summary
Plants
are
living
information‐processing
organisms
with
highly
adaptive
behavior,
allowing
them
to
prosper
in
a
harsh
and
fluctuating
environment
spite
of
being
sessile.
Lacking
central
nervous
system,
plants
distributed
systems
orchestrating
complex
computational
processes
performed
at
the
tissue
level.
Here
I
consider
plant
tropisms
as
useful
input–output
system
boasting
robust
mathematical
description,
naturally
permitting
dialogue
between
modeling
biological
observations.
propose
an
ideal
framework
for
study
processes,
us
infer
relationship
observed
tropic
responses
known
stimuli.
concentrate
on
macroscopic
models,
elucidate
this
approach
by
presenting
recent
examples
focusing
involved
different
hierarchical
levels
interactions:
plant's
interaction
itself
its
internal
state,
abiotic
environment,
neighboring
plants.
Philosophical Transactions of the Royal Society B Biological Sciences,
Год журнала:
2023,
Номер
378(1884)
Опубликована: Июль 10, 2023
In
the
hyperarid
Namib
Desert,
sand
termite
Psammotermes
allocerus
Silvestri,
1908
(Isoptera:
Rhinotermitidae)
establishes
colonies
that
create
conspicuous,
barren
patches
known
as
‘fairy
circles'
on
permeable,
sandy
soils.
The
central
bare
areas
of
fairy
circles
serve
key
function
storing
moisture
received
from
sparse
rainfall.
soil
texture
allows
rapid
infiltration
and
percolation
precipitation,
while
localized
herbivory
by
termites
creates
patch,
thereby
reducing
loss
uptake
transpiration
water
plants.
resulting
storage
rain
even
during
prolonged
periods
drought
enables
perennial
life
in
desert
environments
forms
a
globally
unique
example
ecosystem
engineering
social
insects.
During
past
decade,
most
publications
primarily
debated
origin
circles.
Here,
we
contribute
to
special
issue
with
focus
functional
evolutionary
dimension
structure
colony
two
differing
nest
types
spatially
separated
resources,
successful
adaptation
extreme
environment.
paper
is
review
synthesis
previous
work,
inclusion
new,
relevant
findings.
This
article
part
theme
‘The
ecology
nests:
cross-taxon
approach’.
Journal of The Royal Society Interface,
Год журнала:
2025,
Номер
22(222)
Опубликована: Янв. 1, 2025
Plants
often
respond
to
drier
climates
by
slow
evolutionary
adaptations
from
fast-growing
stress-tolerant
species.
These
increase
the
plants’
resilience
droughts
but
involve
productivity
losses
that
bear
on
agriculture
and
food
security.
also
spatial
self-organization,
through
fast
vegetation
patterning
involving
differential
plant
mortality
increased
water
availability
surviving
plants.
The
manners
in
which
these
two
response
forms
intermingle
affect
have
not
been
studied.
Here
we
ask:
can
inhibit
undesired
adaptation
without
compromising
ecosystem
resilience?
To
address
this
question,
integrate
adaptive
dynamics
pattern-formation
theories
show
less
productive,
more
species
over
a
wide
precipitation
range
while
increasing
their
stress.
This
homeostasis
results
high
plasticity
of
patterns,
associated
with
patch
thinning
dilution,
maintains
steady
local
despite
decreasing
precipitation.
Spatial
heterogeneity
expedites
onset
induces
at
an
earlier
stage
adaptation,
thereby
mitigating
loss
occurs
remains
spatially
uniform.
We
conclude
discussing
our
broader
context
retardation.
Physica D Nonlinear Phenomena,
Год журнала:
2020,
Номер
412, С. 132637 - 132637
Опубликована: Июнь 29, 2020
In
this
paper
we
consider
the
2-component
reaction-diffusion
model
that
was
recently
obtained
by
a
systematic
reduction
of
3-component
Gilad
et
al.
for
dryland
ecosystem
dynamics.
The
nonlinear
structure
is
more
involved
than
other
conceptual
models,
such
as
extended
Klausmeier
model,
and
analysis
priori
complicated.
However,
present
has
strong
advantage
over
these
models
in
it
can
be
directly
linked
to
ecological
mechanisms
observations.
Moreover,
find
exhibits
richness
analytically
tractable
patterns
exceeds
Klausmeier-type
models.
Our
study
focuses
on
4-dimensional
dynamical
system
associated
with
considering
traveling
waves
1
spatial
dimension.
We
use
methods
geometric
singular
perturbation
theory
establish
existence
multitude
heteroclinic/homoclinic/periodic
orbits
`jump'
between
(normally
hyperbolic)
slow
manifolds,
representing
various
kinds
localized
vegetation
patterns.
basic
1-front
invasion
2-front
spot/gap
form
starting
point
our
have
direct
interpretation
appear
naturally
simulations
model.
By
exploiting
rich
construct
many
multi-front
are
novel,
both
from
mathematical
view.
fact,
argue
orbits/patterns
not
specific
considered
here,
but
will
also
occur
much
general
(singularly
perturbed
reaction-diffusion)
setting.
conclude
discussion
implications
findings.
Temporal
shifts
to
drier
climates
impose
environmental
stresses
on
plant
communities
that
may
result
in
community
reassembly
and
threatened
ecosystem
services,
but
also
trigger
self-organization
spatial
patterns
of
biota
resources,
which
act
relax
these
stresses.
The
complex
relationships
between
counteracting
processes
–
have
hardly
been
studied.
Using
a
spatio-temporal
model
dryland
trait-based
approach,
we
study
the
response
such
increasing
water-deficit
stress.
We
first
show
patterning
acts
reverse
from
fast-growing
species
stress-tolerant
species,
as
well
functional-diversity
loss.
then
buffers
impact
further
stress
structure.
Finally,
identify
multistability
ranges
uniform
patterned
states
use
them
propose
forms
non-uniform
management
integrate
need
for
provisioning
services
with
preserve
Nonlinearity,
Год журнала:
2024,
Номер
37(9), С. 095008 - 095008
Опубликована: Июль 18, 2024
Abstract
Reaction-diffusion
models
describing
interactions
between
vegetation
and
water
reveal
the
emergence
of
several
types
patterns
travelling
wave
solutions
corresponding
to
structures
observed
in
real-life.
Increasing
their
accuracy
by
also
considering
ecological
factor
known
as
autotoxicity
has
lead
more
involved
supporting
existence
complex
dynamic
patterns.
In
this
work,
we
include
an
additional
carrying
capacity
for
biomass
a
Klausmeier-type
vegetation-water-autotoxicity
model,
which
induces
presence
two
asymptotically
small
parameters:
ɛ
,
representing
usual
scale
separation
vegetation-water
models,
δ
directly
linked
autotoxicity.
We
construct
three
separate
homoclinic
pulse
based
on
different
scaling
regimes
involving
with
without
so-called
superslow
plateau
.
The
relative
ordering
parameters
significantly
influences
phase
space
geometry
underlying
construction
solutions.
complement
analysis
numerical
continuation
constructed
solutions,
demonstrate
(and
stability)
direct
simulation
full
partial
differential
equation
model.
European Journal of Applied Mathematics,
Год журнала:
2024,
Номер
unknown, С. 1 - 26
Опубликована: Апрель 16, 2024
Abstract
Motivated
by
the
impact
of
worsening
climate
conditions
on
vegetation
patches,
we
study
dynamic
instabilities
in
an
idealised
Ginzburg–Landau
model.
Our
main
results
predict
time
instances
sudden
drops
wavenumber
and
resulting
target
states.
The
changes
correspond
to
annihilation
individual
patches
when
resources
are
scarce
cannot
support
original
number
patches.
Drops
happen
well
after
primary
pattern
has
destabilised
at
Eckhaus
boundary
key
distinguishing
between
disappearance
1,2
or
more
during
drop
complex
spatio-temporal
resonances
linearisation
unstable
pattern.
We
our
with
numerical
simulations
expect
be
conceptually
applicable
universally
near
boundary,
particular
realistic
models.