Modeling zooplankton dynamics

By F. Carlotti, J. Giske and F. Werner

 

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Contents

12.1 Introduction

12.2 Modeling approaches and techniques

-         Steps of model building

-         Choice of state and forcing variables

-         Choice of model units

-         Choice of mathematical functions to model the interactions between variable

-         Identification of parameters

-         The mathematical description of the system

-         Systems of equations

-         Numerical methods

-         Computer programming and languages

-         Further reading

12.3 Models of individual bioenergetics and life-history traits

-         Individual bioenergetics

-         Budget of individual zooplankton

-         Ingestion rate

-         Assimilation and egestion

-         Excretion and respiration – energetic cost

-         Growth and egg production models

-         Vital rates

-         Developmental stage durations of crustacean zooplankton

-         Mortality rates

-         Inverse methods to estimate vital rates

-         Evolutionary forces on the organism

-         Further reading

12.4 Population models

-         Population described by one variable

-         Population described by several variables – structures population models

-         Discrete-time difference equation and matrix models

-         Continuous-time structures population models

-         Stage-structured population models based on ODEs

-         Delay differential equation models

-         Structures population models to estimate demographic parameters

-         Stochasticity in structured population models

-         Individual-based models of a population

-         Building an IBM

-         Object-oriented programming (OOP)

-         Constraints in behavior

-         Models of interactions between zooplanktonic populations

-         Interaction model with two variables

-         Population interactions using structured population models

-         Further reading

12.5 Models of zooplankton communities

-         Zooplankton bulk models in ecosystem models

-         The representation of herbivorous zooplankton in NPA – type ecosystem models

-         From a single grazer to several grazers

-         Size-structured zooplankton community

-         Size-structured ecosystem models

-         Size spectrum theory

-         Size- and stage-structured zooplankton populations in ecosystem models

-         Further reading

12.6 Modeling spatial dynamics in zooplankton

-         Modeling active behavior and counter-gradient search

-         Modeling behavioral mechanisms, aggregation and schooling patches

-         Modeling zooplankton behavior at the “micro-scale”

-         Evolutionary modelling approaches for optimal spatial distribution

-         Models of plankton patchiness generated by population dynamics interactions

-         Grid based models

-         Coupling IBMs and spatially explicit models

-         Passive particle trajectories from Lagrangian transport in model circulation fields

-         Trajectories of actively swimming particles from Lagrangian transport in model circulation fields

-         Spatial zooplankton dynamics with advection-diffusion reaction equations (ADRE)

-         Modeling passive dispersion with ADREs

-         Modeling active vertical swimming with ADREs

-         Modeling the dispersion of a population in circulation models with ADREs

-         Spatial distribution in ecosystem models coupled with ADREs

-         Further reading

12.7 Acknowledgements

12.8 References

 

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