Cited by 360Mathematical and Theoretical Epidemiology and Ecology ModelsEcosystem dynamics and resilienceEcology and Vegetation Dynamics Studies

The Geometry of Ecological Interactions: Simplifying Spatial Complexity

·2000·Cambridge University Press eBooks

Abstract

The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.

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Crossref · 10.1017/cbo9780511525537

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  • The MCRS models offer a chemically and ecologically feasible spatial mechanism for robust maintenance of a metabolically active set of different ribozymes attached to mineral surfaces.

    “The growing family of the Metabolically Coupled Replicator System (MCRS) models offer a chemically and ecologically feasible spatial mechanism for the robust maintenance of a metabolically active set of different ribozymes attached to mineral surfaces”
  • The stochastic lattice implementation of the spatially explicit MCRS model keeps all metabolic replicators coexistent and shows robust ecological stability.

    “Unlike the mean-field version, the stochastic (lattice) implementation of the spatially explicit MCRS model keeps all the metabolic replicators coexistent and shows robust ecological stability (Figure 9) [33,36,37].”
  • MCRS models have shown robust ecological stability against changing replicator degradation rates, applying both sequence-length-dependent and -independent decay rates.

    “The MCRS models have shown robust ecological stability against changing the replicator degradation rates (which correspond to environmental perturbations), by applying both sequence-length-dependent and -independent decay rates [33,36].”

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Venue
Cambridge University Press eBooks
Published
2000-05-04
OpenAlex
W1586507888
Cited by
360
References
0
Citations by year
2025: 7 · 2024: 9 · 2023: 8 · 2022: 9 · 2021: 11 · 2020: 10 · 2019: 10 · 2018: 12 · 2017: 10 · 2016: 14 · 2015: 12 · 2014: 15 · 2013: 23 · 2012: 13
FWCI
22.85
Type
book
Language
en
Open access
closed
Locations
Cambridge University Press eBooks (publishedVersion)
Topics
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Environmental Science › Global and Planetary Change › Ecosystem dynamics and resilience
  • Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
Keywords
spatial ecology, ecological interactions, spatial patterns, spatial complexity, theoretical ecology

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