A random planting model
Journal of Statistical Mechanics Theory and Experiment,
Journal Year:
2025,
Volume and Issue:
2025(1), P. 013402 - 013402
Published: Jan. 1, 2025
Abstract
The
adoption
of
agroecological
practices
will
be
crucial
to
address
the
challenges
climate
change
and
biodiversity
loss.
Such
favor
cultivation
plants
in
complex
mixtures
with
layouts
differing
from
monoculture
approach
conventional
agriculture.
Inspired
by
random
sequential
adsorption
processes,
we
propose
a
one-dimensional
model
which
are
represented
as
line
segments
that
start
points
grow
at
constant
rate
until
they
reach
length
σ
after
time
interval
τ
.
planting
positions
times
randomly
chosen
constraint
plant
overlap
is
forbidden.
We
apply
an
exact,
event-driven
simulation
investigate
resulting
spatiotemporal
patterns
yields
both
mono-
duocultures.
After
transient
period,
oscillations
density
coverage,
field
reaches
steady
state
mean
age
one
half
maturity.
structure
active
characterized
correlation
functions
between
fluctuation
its
k
th
neighbour.
Nearest
neighbours
negatively
correlated,
while
next
nearest
tend
have
similar
ages.
yield
increases
approaches
maximum
value
4/3
per
unit
time.
For
two
species
same
size
maturity
but
different
growth
rates,
more
slowly
growing
enriched
harvest
compared
seed
mix
composition.
If
sizes,
smaller
and,
sufficiently
high
rate,
larger
may
completely
absent.
ratio
σ
/
τ
selectivity
insensitive
rate.
This
algorithms
describing
strategies
extended
higher
dimensions,
other
assist
design
novel
microfarms.
Language: Английский
Travelling waves in dryland ecology: continuous and discontinuous connections in a hyperbolic vegetation model
Nonlinear Dynamics,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Feb. 15, 2025
Language: Английский
Vegetation pattern formation and transition in dryland ecosystems with finite soil resources and inertia
Physica D Nonlinear Phenomena,
Journal Year:
2025,
Volume and Issue:
unknown, P. 134601 - 134601
Published: March 1, 2025
Language: Английский
Bifurcations analysis and pattern formation in a plant-water model with nonlocal grazing
Nonlinear Dynamics,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Oct. 17, 2024
Language: Английский
Turing patterns in a networked vegetation model
Xiaomei Bao,
No information about this author
Canrong Tian
No information about this author
Mathematical Biosciences & Engineering,
Journal Year:
2024,
Volume and Issue:
21(11), P. 7601 - 7620
Published: Jan. 1, 2024
A
vegetation
model
composed
of
water
and
plants
was
proposed
by
introducing
a
weighted
graph
Laplacian
operator
into
the
reaction-diffusion
dynamics.
We
showed
global
existence
uniqueness
solution
via
monotone
iterative
sequence.
The
parameter
space
Turing
patterns
for
plant
behavior
is
obtained
based
on
analysis
eigenvalues
graph,
while
amplitude
equation
determining
stability
weakly
nonlinear
analysis.
also
show
that
optimal
rainfall
only
determined
density
water.
By
some
numerical
simulations,
we
examine
individual
effect
diffusion
term
formation
regular
patterns.
large
induces
stable
Language: Английский