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An Update of Wallace’s Zoogeographic Regions of the World
A global map of zoogeographic regions is generated by combining data on the distributions and phylogenetic relationships of 21,037 species of amphibians, birds, and mammals, and it is shown that spatial turnover in the phylogenetic composition of vertebrate assemblages is higher in the Southern than in the Northern Hemisphere.
Temperature, but not productivity or geometry, predicts elevational diversity gradients in ants across spatial grains
Aim This research aims to understand the factors that shape elevational diversity gradients and how those factors vary with spatial grain. Specifically, we test the predictions of the…
Inferring local ecological processes amid species pool influences.
Climatic drivers of hemispheric asymmetry in global patterns of ant species richness.
Examining the latitudinal pattern of species richness across 1003 local ant assemblages finds latitudinal asymmetry, with southern hemisphere sites being more diverse than northern hemisphere sites, and the most parsimonious explanation is that greater climate change since the Eocene in the northern than in the southern hemisphere has led to more extinctions in the north with consequent effects on local ant species richness.
Validated Continuation for Equilibria of PDEs
A new technique is introduced that combines the information obtained from the predictor-corrector steps with ideas from rigorous computations and verifies that the numerically produced equilibrium for the finite-dimensional system can be used to explicitly define a set which contains a unique equilibrium forThe infinite-dimensional partial differential equation.
Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs
Process-Based Species Pools Reveal the Hidden Signature of Biotic Interactions Amid the Influence of Temperature Filtering
A heuristic approach that relies on explicitly defining species pools and permits assessment of the relative influence of the main processes thought to shape assemblage structure: environmental filtering, dispersal limitations, and biotic interactions is implemented.
Computer Assisted Proof of Transverse Saddle-to-Saddle Connecting Orbits for First Order Vector Fields
In this paper we introduce a computational method for proving the existence of generic saddle-to-saddle connections between equilibria of first order vector fields. The first step consists of…
Introducing the biogeographic species pool
- D. Carstensen, J. Lessard, Ben G. Holt, M. K. Borregaard, C. Rahbek
- Environmental Science
- 1 December 2013
D. W. Carstensen (email@example.com), Depto de Botânica, Laboratorio de Fenologia, Plant Phenology and Seed Dispersal Group, Inst. de Biociencias, Univ. Estadual Paulista (UNESP), Avenida…
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation
- J. V. D. Berg, J. Mireles-James, J. Lessard, K. Mischaikow
- MathematicsSIAM Journal on Mathematical Analysis
- 5 July 2011
A rigorous numerical technique is proposed for the computation of symmetric connecting orbits for ordinary differential equations and it is used to prove the existence of a family of even homoclinic orbits for the Gray–Scott equation.