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Niche Hierarchy : Structure, Organization and Assembly in Natural Ecosystems.

By: Contributor(s): Publisher: Plantation : J. Ross Publishing, 2015Copyright date: ©2017Edition: 1st edDescription: 1 online resource (208 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781604277630
Subject(s): Genre/Form: Additional physical formats: Print version:: Niche Hierarchy: Structure, Organization, and Assembly in Natural SystemsDDC classification:
  • 577.82
LOC classification:
  • QH546.3.S84 2015
Online resources:
Contents:
Front Cover -- Title Page -- Copyright -- Contents -- Foreward by Lord May -- Foreward by Jordi Bascompte, Ph.D -- Abstract -- Preface -- Acknowledgments -- Chapter 1: The Beginning -- 1.1 Introduction -- 1.2 Menu -- Chapter 2: Characterizing the Niche -- 2.1 A Problem of Incompatible Dimensions -- 2.2 Handling the Dimensionality Problem -- 2.2.1 The Consumer Overlap Graph -- 2.2.2 The Resource Graph: A Tinker Toy Model -- 2.2.3 Species as Convex Polyhedra -- 2.3 Trophic Equivalence -- Summary -- Chapter 3: Holes in Niche Space -- 3.1 The Mathematical Structure of Holes -- 3.1.1 Standard Homology for KC(R -- λ−1) -- 3.1.2 Computing β1(K) from Gc(R -- λ−1) -- 3.2 Homology of Real Food Webs -- 3.2.1 Results -- 3.2.2 Statistical Significance of Results -- 3.2.3 Interpretation of Results -- 3.3 Robustness: Do Holes Appear Across Variable Thresholds? -- 3.3.1 Cody's Community Matrices -- 3.3.2 Quasiconvexity in the Niche -- Summary -- Chapter 4: Intervality: Tip of an Iceberg -- 4.1 Necessary and Sufficient Conditions for Intervality -- 4.2 Rigid Circuits: A Robust Property of Real Communities -- 4.3 Holes, Rigidity, and Intervality -- 4.4 Assembly Rules Implied by the Rigid Circuit Property in GR(C -- λ) -- 4.5 Assembly and Holes in KC(R -- λ−1) -- 4.6 Assembly and Intervality -- Summary -- Chapter 5: Hierarchical Organization in the Niche -- 5.1 Structural Hierarchy -- 5.1.1 Trees: A Characterization of Rigid Circuit Graphs -- 5.2 Hierarchy in Real Communities -- 5.3 Functional Hierarchy -- 5.3.1 Compatibility Between Structural and Functional Portraits -- Summary -- Chapter 6: Dynamic Linkages and Topological Patterns -- 6.1 Triangulation and Stability: A Simple Example -- 6.2 Triangulation and Stability: Dynamic Selection -- 6.3 Hierarchy and Stability -- 6.3.1 Structural Hierarchy -- 6.3.2 Functional Hierarchy -- Summary.
Chapter 7: Hierarchies of Abundance -- 7.1 The Niche Hierarchy Model -- 7.2 Supporting Evidence for Niche Hierarchy -- 7.2.1 The Geometric Series and Broken Stick Patterns as Special Cases -- 7.2.2 A Deductive Approach -- 7.2.3 A Direct Approach -- 7.2.4 Implications of a Correspondence Between Organization and Abundance -- 7.3 Related Results -- 7.3.1 Moments of Species Abundance Distributions -- 7.3.2 Abundance Patterns Implied by Dynamic Models -- Summary -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- References.
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Front Cover -- Title Page -- Copyright -- Contents -- Foreward by Lord May -- Foreward by Jordi Bascompte, Ph.D -- Abstract -- Preface -- Acknowledgments -- Chapter 1: The Beginning -- 1.1 Introduction -- 1.2 Menu -- Chapter 2: Characterizing the Niche -- 2.1 A Problem of Incompatible Dimensions -- 2.2 Handling the Dimensionality Problem -- 2.2.1 The Consumer Overlap Graph -- 2.2.2 The Resource Graph: A Tinker Toy Model -- 2.2.3 Species as Convex Polyhedra -- 2.3 Trophic Equivalence -- Summary -- Chapter 3: Holes in Niche Space -- 3.1 The Mathematical Structure of Holes -- 3.1.1 Standard Homology for KC(R -- λ−1) -- 3.1.2 Computing β1(K) from Gc(R -- λ−1) -- 3.2 Homology of Real Food Webs -- 3.2.1 Results -- 3.2.2 Statistical Significance of Results -- 3.2.3 Interpretation of Results -- 3.3 Robustness: Do Holes Appear Across Variable Thresholds? -- 3.3.1 Cody's Community Matrices -- 3.3.2 Quasiconvexity in the Niche -- Summary -- Chapter 4: Intervality: Tip of an Iceberg -- 4.1 Necessary and Sufficient Conditions for Intervality -- 4.2 Rigid Circuits: A Robust Property of Real Communities -- 4.3 Holes, Rigidity, and Intervality -- 4.4 Assembly Rules Implied by the Rigid Circuit Property in GR(C -- λ) -- 4.5 Assembly and Holes in KC(R -- λ−1) -- 4.6 Assembly and Intervality -- Summary -- Chapter 5: Hierarchical Organization in the Niche -- 5.1 Structural Hierarchy -- 5.1.1 Trees: A Characterization of Rigid Circuit Graphs -- 5.2 Hierarchy in Real Communities -- 5.3 Functional Hierarchy -- 5.3.1 Compatibility Between Structural and Functional Portraits -- Summary -- Chapter 6: Dynamic Linkages and Topological Patterns -- 6.1 Triangulation and Stability: A Simple Example -- 6.2 Triangulation and Stability: Dynamic Selection -- 6.3 Hierarchy and Stability -- 6.3.1 Structural Hierarchy -- 6.3.2 Functional Hierarchy -- Summary.

Chapter 7: Hierarchies of Abundance -- 7.1 The Niche Hierarchy Model -- 7.2 Supporting Evidence for Niche Hierarchy -- 7.2.1 The Geometric Series and Broken Stick Patterns as Special Cases -- 7.2.2 A Deductive Approach -- 7.2.3 A Direct Approach -- 7.2.4 Implications of a Correspondence Between Organization and Abundance -- 7.3 Related Results -- 7.3.1 Moments of Species Abundance Distributions -- 7.3.2 Abundance Patterns Implied by Dynamic Models -- Summary -- Appendix A -- Appendix B -- Appendix C -- Appendix D -- References.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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