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As research on pattern dynamics progressed, the researchers noticed that dynamical destabilization and corresponding pattern formation had similarities with equilibrium phase transition [11].
Two network mapping methods are proposed for the analysis and identification of flow pattern dynamics, i.e. Flow Pattern Complex Network (FPCN) and Fluid Dynamic Complex Network (FDCN).
Moreover, he illustrated numerically, how the diffusion of predators affects the pattern dynamics.
It consisted of three components, namely, tendency variation analysis, pattern dynamics analysis, and service function analysis.
After decades of research, pattern dynamics has become an important discipline widely applied in various fields [1, 2], and [4].
We hypothesized that spatial heterogeneity of microtopography and soil properties with different patch sizes would determine vegetation pattern dynamics theory.
In this work our aim is to quantify the altitudinal shifts and analyse the spatial pattern dynamics of mountain ecotones.
This is useful both as a means of describing the continuum limits of automata and as an independent foundation for expressing models for pattern dynamics.
We illustrate the power of this approach with convolution-generated motion models for pattern dynamics in developmental biology and excitable media.
Thus convolution-generated motion provides a numerically and analytically tractable link between cellular automata models and the smooth features of pattern dynamics.
However, spatially distributed information has scarcely been produced to identify the effects of landscape pattern dynamics on ecosystem services, especially the soil erosion control.
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