Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.1016/j.ecolmodel.2024.110722 |
A new reaction-diffusion-advection model with long-range inhibition for vegetation-desertification pattern-formation as a unified approach | |
Franco, Rebeca; Morales, Marco A.; Rodriguez-Mora, J. Isrrael; Agustin-Serrano, Ricardo | |
通讯作者 | Agustín-Serrano, R |
来源期刊 | ECOLOGICAL MODELLING
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ISSN | 0304-3800 |
EISSN | 1872-7026 |
出版年 | 2024 |
卷号 | 492 |
英文摘要 | This work proposes a new mathematical model for reproducing desertification and vegetation patterns existing in nature. The model consists of two nonlinear partial differential equations. One of them describes the spatiotemporal dynamic of vegetation in an analogous way to Lefever ' s model, while Hardenberg ' s model describes precipitation dynamics. The model ' s equations are solved using a numerical-functional difference method for the spatio-temporal terms. The numerical results reproduce various bi-dimensional (2D) patterns observed in waterlimited regions, including stripes, spots, hollows, and labyrinths. 2D patterns with these morphologies are characterized by their Fourier spectra and quantified their fractal dimensions. The numerical solutions of the model also predict transitions from bare soil at low precipitation to homogeneous vegetation at high rainfalls. These results reveal an underlying mechanism for the local desertification process and the vegetation selforganization distribution, broad context of matter order-disorder transitions. The proposed model even reproduces the desertification patterns for local instabilities of the hydrodynamic type beyond the instability induced by diffusion, which suggests that it is a reduced mathematical model with a unifying general framework for patterns found in nature. |
英文关键词 | Desertification Vegetation patterns Turing-instability Ecohydrology Hydroecology |
类型 | Article |
语种 | 英语 |
收录类别 | SCI-E |
WOS记录号 | WOS:001235146600001 |
WOS关键词 | SELF-ORGANIZATION ; REGIME SHIFTS |
WOS类目 | Ecology |
WOS研究方向 | Environmental Sciences & Ecology |
资源类型 | 期刊论文 |
条目标识符 | http://119.78.100.177/qdio/handle/2XILL650/403445 |
推荐引用方式 GB/T 7714 | Franco, Rebeca,Morales, Marco A.,Rodriguez-Mora, J. Isrrael,et al. A new reaction-diffusion-advection model with long-range inhibition for vegetation-desertification pattern-formation as a unified approach[J],2024,492. |
APA | Franco, Rebeca,Morales, Marco A.,Rodriguez-Mora, J. Isrrael,&Agustin-Serrano, Ricardo.(2024).A new reaction-diffusion-advection model with long-range inhibition for vegetation-desertification pattern-formation as a unified approach.ECOLOGICAL MODELLING,492. |
MLA | Franco, Rebeca,et al."A new reaction-diffusion-advection model with long-range inhibition for vegetation-desertification pattern-formation as a unified approach".ECOLOGICAL MODELLING 492(2024). |
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