Ecological Modeling

  1. Core Models in Population Ecology
    1. Single-Species Population Models
      1. Unstructured Models
        1. Exponential Growth Model
          1. Model Assumptions
            1. Mathematical Formulation
              1. Analytical Solutions
                1. Limitations and Applications
                2. Logistic Growth Model
                  1. Carrying Capacity Concept
                    1. S-shaped Growth Curves
                      1. Equilibrium Analysis
                        1. Parameter Interpretation
                        2. Theta-Logistic Model
                          1. Generalized Density Dependence
                            1. Shape Parameter Effects
                            2. Allee Effect Models
                              1. Strong Allee Effects
                                1. Weak Allee Effects
                                  1. Critical Population Thresholds
                                2. Structured Models
                                  1. Age-Structured Models
                                    1. Leslie Matrix Construction
                                      1. Age-Specific Survival and Fecundity
                                        1. Population Projection
                                          1. Stable Age Distribution
                                            1. Reproductive Value
                                            2. Stage-Structured Models
                                              1. Lefkovitch Matrix Models
                                                1. Stage Classification
                                                  1. Transition Probabilities
                                                    1. Duration in Stages
                                                    2. Size-Structured Models
                                                      1. Size Classes and Growth
                                                        1. Size-Dependent Processes
                                                          1. Integral Projection Models
                                                        2. Stochastic Population Models
                                                          1. Demographic Stochasticity
                                                            1. Environmental Stochasticity
                                                              1. Population Viability Analysis
                                                            2. Multi-Species Interaction Models
                                                              1. Predator-Prey Dynamics
                                                                1. Lotka-Volterra Model
                                                                  1. Model Equations
                                                                    1. Oscillatory Dynamics
                                                                      1. Neutrally Stable Cycles
                                                                      2. Functional Response Models
                                                                        1. Type I Functional Response
                                                                          1. Type II Functional Response
                                                                            1. Type III Functional Response
                                                                              1. Handling Time Effects
                                                                              2. Rosenzweig-MacArthur Model
                                                                                1. Prey Carrying Capacity
                                                                                  1. Predator Isoclines
                                                                                    1. Stability Analysis
                                                                                    2. Ratio-Dependent Models
                                                                                      1. Spatial Predator-Prey Models
                                                                                      2. Competition Models
                                                                                        1. Lotka-Volterra Competition
                                                                                          1. Competition Coefficients
                                                                                            1. Competitive Exclusion
                                                                                              1. Coexistence Conditions
                                                                                              2. Resource Competition Models
                                                                                                1. Tilman's R* Theory
                                                                                                  1. Resource Supply Points
                                                                                                    1. Zero Net Growth Isoclines
                                                                                                    2. Apparent Competition
                                                                                                      1. Interference Competition
                                                                                                      2. Mutualism Models
                                                                                                        1. Obligate Mutualism
                                                                                                          1. Facultative Mutualism
                                                                                                            1. Pollination Networks
                                                                                                              1. Seed Dispersal Networks

                                                                                                          Previous

                                                                                                          4. The Modeling Cycle: From Concept to Application

                                                                                                          Go to top

                                                                                                          Next

                                                                                                          6. Models in Community and Ecosystem Ecology