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41 Cards in this Set

  • Front
  • Back

Is species conservation enough?

focuses on single threatened species


crisis approach to conservation


should be complemented by bigger-picture approaches

Primary IUCN criteria for listing

range size (small is worse)


population abundance (small is worse)


population trend (declining is worse)


ongoing conservation efforts


used to determine extinction risk

Population density affected by

immigration and emigration


births and deaths

What is a model?

a simplified and abstracted representation of a system


allows hypothesis testing and generalization

GEP box on models --->

all models are wrong but some are useful

Exponential growth model

N(t+1) = N(t) + N(t)*r


N(t) = N(0) * lambda(t)

Geometric rate of increase

fundamental parameter in population ecology is the finite rate of increase of lambda

lambda (in the exponential growth model)

describes the proportional increase (or decrease) in a population per time step

Did lambda apply to humans?

yes

lambda < 1 means

decline and eventual extinction

lambda = 1 means

stable population

lambda > 1 means

the population is growing

Why models are important for conservation

assessment of extinction risk


summarizes what is known about a population


allows projections into the future


assumptions are made explicit


model can be refined as amore data become available


model parameters can be compared among species and populations

Example of rates of decline

Northwest Atlantic sharks

example of re-introduction

muskox


reintroduced to Nunivak Island, AK


Census data collected to build a model in order to manage the population


growth rates averages at lambda = 1.148

Next step for the models?

include real-world variability and uncertainty

So far models have assumed what?

that species grow in a simple, predictable fashion


assumed that growth parameters are fixed

deterministic model

N(t+1) = N(t) * lambda


when growth parameters are fixed

stochastic model

N(t+1) = N(t) * lambda(t)


takes into account that parameters vary widely


more realistic

Causes of variability

1. natural - population variability and environmental variability


2. sources of uncertainty - parameter uncertainty


- model uncertainty


- ignorance and surprises

What does stochastic models include

both variability and uncertainty

Persistence vs. initial population

can calculate probability of extinction (using same model) within 100 time steps

Environmental variability


sources of environmental variation

temporal


spatial


extreme

temporal variation

light, temperature, rainfall, predation, food supply, etc.

spatial variation

along depth gradients, across continents

extreme variation

events or catastrophes - can harm or benefit

How do we incorporate environmental stochasticity

assume that lambda caries over time through a statistical distribution

Muskox model


where lambda = 1.148 and k = 500


density dependence: Ricker

type: deterministic


probability of extinction = 0

Muskox model


lambda = 1.148 and k = 500

type: stochastic (N=25) using demographic stochasticity


N is how many many times the model is run


the line is the mean and the data includes error as well as the highest and lowest value

same model but adding a standard deviation in lambda of 10%

adds a lot of variability to the data

add a standard deviation in lambda of 30%

trajectory summary means that the probability of extinction within 50 years is about 10%

Problem: parameters are always estimated, never known

solution: use larger sample size, get additional information to reduce uncertainty

problem: models are a simplification of the real world

solution: compare different models and see how their behaviour varies

Overall solution to redce uncertainty

find a good compromise between simplification and realism

Allee effects

correlation between population size or density and the mean individual fitness of a population or species

allee effects in great auk

overhunting by museum collectors

allee effects in Napolean wrasse

overfishing increased price

allee effects in passenger pigeon

failure of large breeding colonies

urchin

critical density needed for urchin fertilization succes

populations of most concern

populations in rapid decline

stochastic models are used for....

to assess population variability and uncertainty