Can a species keep pace with a shifting climate?

Autor: Odo Diekmann, C. J. Nagelkerke, Paul Andries Zegeling, Henri Berestycki
Přispěvatelé: Evolutionary Biology (IBED, FNWI)
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Mathematics(all)
Computer science
General Mathematics
Acclimatization
Climate
Neuroscience(all)
Population
Population Dynamics
Immunology
Climate change
Integrodifference equation
Context (language use)
Extinction
Biological
Reaction–diffusion equation
Models
Biological
General Biochemistry
Genetics and Molecular Biology
Persistence
Maximum principle
Environmental Science(all)
Econometrics
Population growth
Animals
Humans
Special case
education
Simulation
Ecosystem
General Environmental Science
Population Density
Pharmacology
education.field_of_study
Extinction
Models
Statistical
Agricultural and Biological Sciences(all)
Biochemistry
Genetics and Molecular Biology(all)
General Neuroscience
Co-moving population profile
Traveling wave
Moving favorable patch
Computational Theory and Mathematics
Animal Migration
Original Article
Principal eigenvalue
General Agricultural and Biological Sciences
Zdroj: Bulletin of Mathematical Biology
Bulletin of Mathematical Biology, 71(2), 399-429. Springer New York
ISSN: 0092-8240
DOI: 10.1007/s11538-008-9367-5
Popis: Consider a patch of favorable habitat surrounded by unfavorable habitat and assume that due to a shifting climate, the patch moves with a fixed speed in a one-dimensional universe. Let the patch be inhabited by a population of individuals that reproduce, disperse, and die. Will the population persist? How does the answer depend on the length of the patch, the speed of movement of the patch, the net population growth rate under constant conditions, and the mobility of the individuals? We will answer these questions in the context of a simple dynamic profile model that incorporates climate shift, population dynamics, and migration. The model takes the form of a growth-diffusion equation. We first consider a special case and derive an explicit condition by glueing phase portraits. Then we establish a strict qualitative dichotomy for a large class of models by way of rigorous PDE methods, in particular the maximum principle. The results show that mobility can both reduce and enhance the ability to track climate change that a narrow range can severely reduce this ability and that population range and total population size can both increase and decrease under a moving climate. It is also shown that range shift may be easier to detect at the expanding front, simply because it is considerably steeper than the retreating back.
Databáze: OpenAIRE
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