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  • Galerkin approximation  (1)
  • Moran's eigenvector maps  (1)
  • Springer  (1)
  • Wiley  (1)
  • MDPI
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Southeast Asian bulletin of mathematics 24 (2000), S. 183-199 
    ISSN: 0219-175X
    Schlagwort(e): Galerkin approximation ; uniform decay ; non-linear boundary conditions ; potentials
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we study a hyperbolic model based on the equation $$y_{tt}-\Delta_{y} + \sum_{j = 1}^{n}b_j(x,t)\frac{\partial y_{t}}{\partial x_j}= 0 $$ with nonlinear boundary conditions given by $$\frac{\partial y}{\partial v}+ f(y) + g(y_t)= 0$$ . We prove the existence and the uniqueness of global solutions. Also, we obtain the uniform decay of the energy without control of its derivative sign.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
    Publikationsdatum: 2024-03-31
    Beschreibung: Aim: Amazonia hosts more tree species from numerous evolutionary lineages, both young and ancient, than any other biogeographic region. Previous studies have shown that tree lineages colonized multiple edaphic environments and dispersed widely across Amazonia, leading to a hypothesis, which we test, that lineages should not be strongly associated with either geographic regions or edaphic forest types. Location: Amazonia. Taxon: Angiosperms (Magnoliids; Monocots; Eudicots). Methods: Data for the abundance of 5082 tree species in 1989 plots were combined with a mega-phylogeny. We applied evolutionary ordination to assess how phylogenetic composition varies across Amazonia. We used variation partitioning and Moran's eigenvector maps (MEM) to test and quantify the separate and joint contributions of spatial and environmental variables to explain the phylogenetic composition of plots. We tested the indicator value of lineages for geographic regions and edaphic forest types and mapped associations onto the phylogeny. Results: In the terra firme and várzea forest types, the phylogenetic composition varies by geographic region, but the igapó and white-sand forest types retain a unique evolutionary signature regardless of region. Overall, we find that soil chemistry, climate and topography explain 24% of the variation in phylogenetic composition, with 79% of that variation being spatially structured (R2= 19% overall for combined spatial/environmental effects). The phylogenetic composition also shows substantial spatial patterns not related to the environmental variables we quantified (R2= 28%). A greater number of lineages were significant indicators of geographic regions than forest types. Main Conclusion: Numerous tree lineages, including some ancient ones (〉66 Ma), show strong associations with geographic regions and edaphic forest types of Amazonia. This shows that specialization in specific edaphic environments has played a long-standing role in the evolutionary assembly of Amazonian forests. Furthermore, many lineages, even those that have dispersed across Amazonia, dominate within a specific region, likely because of phylogenetically conserved niches for environmental conditions that are prevalent within regions.
    Schlagwort(e): community assembly ; dispersal limitation ; environmental selection ; evolutionary principal ; component analysis ; indicator lineage analysis ; Moran's eigenvector maps ; neotropics ; Niche ; conservatism ; tropical rain forests
    Repository-Name: National Museum of Natural History, Netherlands
    Materialart: info:eu-repo/semantics/article
    Format: application/pdf
    Standort Signatur Erwartet Verfügbarkeit
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