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Modeling Ecological Networks

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by

Matthew Widjaja

on 8 December 2014

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Transcript of Modeling Ecological Networks

We want to develop a method to control ecological networks, in order to bolster endangered species and reduce invasive species.
Introduction
Modeling Ecological Networks
Ecological Networks are complex because they are large and have many nonlinear interactions.
The Problem
We developed an approach to control ecological networks.
The Solution
Our goal is to adapt an effective modeling approach to ecological networks.
The Project
We seperate species into two groups.
Effective Model
How can a linear model approximate a complex non-linear system?
We can verify our model by comparing it to a Competitive Lotka-Volterra model.
Model Verification
The complexity makes it difficult to determine the parameters and functional forms for each interaction.
1. That uses data from (simpler) experiments
2. Without any assumptions about interactions
3. Provides approximatate solutions
4. Requires few resources.
Master
(ie. Keystone Species)
Here, the slave species is modeled by:
In reality, a species' population is an unknown function of all the other populations.
Slave
(ie. Non-Keystone Species)
Surface: actual slave population
Points: from experimental data of the natural & perturbed populations of the master species.
Plane: the effective model, determined by the points
Model accuracy due to:
1. Geometrical Constraints
2. Robustness of ecological
network.
Slave: influenced by the master nodes and other slave nodes in its subsystem
Master: strongly influences all species
Lotka-Volterra:
Our Effective Model produces
equivilant results while requiring
fewer resources than Lotka-Volterra
Results

3. The effective model is a good substitute for the Lotka-Volterra model over a broad range of parameters.
1. The Synthetic System (ie.
Lotka-Volterra) is a standard
representation of food webs.
2. Our Effective Model produces
results which are equivalent to
the Synthetic System.
4. But, our Effective Model
requires less parameters. Determining such parameters for Lotka-Volterra is resource intensive.
Full transcript