初始植被异质性对沉浮大型植物竞争的影响。

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-10-08 DOI:10.3934/mbe.2024318
Linhao Xu, Donald L DeAngelis
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引用次数: 0

摘要

浮水植被(FAV)与沉水植被(SAV)竞争的非空间模型预测,在低总有效限制养分水平(N)下,纯浮水植被处于稳定状态;在高氮条件下,仅浮水植被处于稳定状态;在中氮条件下,浮水植被处于交替稳定状态,呈s型分岔曲线。包含水体物理异质性的空间模型表明,这些状态之间的急剧转变变得平滑。研究了不同初始条件对植被类型的影响。我们使用空间显式模型来描述植被类型之间的竞争。在模型中,FAV,浮萍(L. gibba)与SAV,纳托尔水草(Elodea nuttallii)竞争。两种大型植物初始建立的差异影响了可能的稳定平衡。当SAV和FAV的初始生物量不同但每个空间细胞的初始生物量相同时,出现s型分岔,但根据FAV:SAV生物量比的不同,n轴上的临界过渡发生偏移。当SAV和FAV的初始生物量在细胞间随机分布时,竞争种的植被格局在空间上自组织,在中间N区可能存在多种不同的稳定状态。如果N随时间从稳定状态逐渐增加或减少,则非空间模型的突变会通过一系列稳定状态转变为更平滑的转变,这与在其他系统中观察到的Busse气球相似。
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Effects of initial vegetation heterogeneity on competition of submersed and floating macrophytes.

Non-spatial models of competition between floating aquatic vegetation (FAV) and submersed aquatic vegetation (SAV) predict a stable state of pure SAV at low total available limiting nutrient level, N, a stable state of only FAV for high N, and alternative stable states for intermediate N, as described by an S-shaped bifurcation curve. Spatial models that include physical heterogeneity of the waterbody show that the sharp transitions between these states become smooth. We examined the effects of heterogeneous initial conditions of the vegetation types. We used a spatially explicit model to describe the competition between the vegetation types. In the model, the FAV, duckweed (L. gibba), competed with the SAV, Nuttall's waterweed (Elodea nuttallii). Differences in the initial establishment of the two macrophytes affected the possible stable equilibria. When initial biomasses of SAV and FAV differed but each had the same initial biomass in each spatial cell, the S-shaped bifurcation resulted, but the critical transitions on the N-axis are shifted, depending on FAV:SAV biomass ratio. When the initial biomasses of SAV and FAV were randomly heterogeneously distributed among cells, the vegetation pattern of the competing species self-organized spatially, such that many different stable states were possible in the intermediate N region. If N was gradually increased or decreased through time from a stable state, the abrupt transitions of non-spatial models were changed into smoother transitions through a series of stable states, which resembles the Busse balloon observed in other systems.

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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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