Cover: Qualitative Modeling of Complex Systems: An Introduction to Loop Analysis and Time Averaging, from Harvard University PressCover: Qualitative Modeling of Complex Systems in E-DITION

Qualitative Modeling of Complex Systems

An Introduction to Loop Analysis and Time Averaging

Available from De Gruyter »

Product Details

E-DITION

$65.00 • £54.95 • €60.00

ISBN 9780674435070

Publication Date: 03/14/1986

259 pages

illustrations

World

Harvard University Press has partnered with De Gruyter to make available for sale worldwide virtually all in-copyright HUP books that had become unavailable since their original publication. The 2,800 titles in the “e-ditions” program can be purchased individually as PDF eBooks or as hardcover reprint (“print-on-demand”) editions via the “Available from De Gruyter” link above. They are also available to institutions in ten separate subject-area packages that reflect the entire spectrum of the Press’s catalog. More about the E-ditions Program »

  • 1. Qualitative Models
    • Uses of Models
    • Qualitative versus Quantitative Models
    • Preview of Models
    • Limitations of Models
    • Strategy for Qualitative Model Applications
  • 2. Loop Models: Definition of Terms and Calculation of Model Properties
    • Symbols of Signed Digraphs
    • Notation
    • Paths, Links, and Loops
    • Conjunct and Disjunct Loops
    • Feedback
    • Stability
  • 3. Loop Models: Predicting Change
    • Parameter Change
    • Open Paths and Complementary Subsystems
    • Changes in Equilibrium Abundance
    • Tables of Predictions
    • Links from Equations
  • 4. Qualitative Predictions
    • Equilibrium Levels and Turnover Rates
    • Correlations from Predictions
    • From Model to Predictions
    • Some General Observations
    • Lumping Variables
    • Model Ambiguity
    • Experimental Design and Loop Models
    • Correlation Patterns
  • 5. From Concept to Model
    • Ecological Examples
    • Changes in the Graph Structure
    • From Data to Graph
  • 6. Dynamical Systems and Loop Analysis
    • Equilibrium
    • Stability
    • Self-Effect Terms (Self-Damping)
    • Signed Digraphs, the Characteristic Equation, and Feedback
    • Eigenvectors
    • Discrete Systems
  • 7. Time Averaging
    • Definitions
    • Operations with Time Averaging
    • Finite Intervals
    • Discrete-Time Processes
    • Time Averaging and Loop Analysis
    • Linear Equations
    • Nonlinear Equations
  • Appendix: Some Mathematical Operations and Concepts
  • References
  • Index

Recent News

Black lives matter. Black voices matter. A statement from HUP »

From Our Blog

Marking the 75th Anniversary of Independence from British Rule

August 14 and August 15 mark the seventy-fifth anniversary of independence from British rule for Pakistan and India, respectively. Inextricably linked to the birth of these two South Asian nations is the 1947 Partition of the subcontinent that tragically accompanied the end of British colonialism.