BIOL 290 Lecture Notes - Lecture 13: Sockeye Salmon, Fish Migration

41 views2 pages
15 Nov 2018
Geometric Growth
Tuesday, November 13, 2018
5:53 PM
Lambda ( λ)
Estimated growth rate
Finite rate of increase
N(t+1)= population size one year after N(t); one unit of time after N(t)
N(t)= population size at year t
N(0)= initial population size
You can use estimate of lambda to make a mathematical prediction about how large the
waterhemp population will be in future years
o   λN(t)
Geometric Population Growth
λ will be multiplied in each timestep to get an estimated population size in as
many timesteps in the future we want
o   
o          λ^2N(0)
o λ^t
General formula
Population changes in successive time steps by a constant ratio
The geometric model works when populations are not limited in their growth; they
continue increasing at the same rate each unit of time
This model assumes that there is only one discrete reproduction event per unit of
time for individuals (annual plants [waterhemp], mating events in some mammals)
Ex: N(0)= 10
λ= 1.35
What is the population size at year 10?
N(10)= N(0)x λ^t
= 201 plants
Who does the geometric population growth model
apply to?
Unlock document

This preview shows half of the first page of the document.
Unlock all 2 pages and 3 million more documents.

Already have an account? Log in

Get OneClass Notes+

Unlimited access to class notes and textbook notes.

YearlyBest Value
75% OFF
$8 USD/m
$30 USD/m
You will be charged $96 USD upfront and auto renewed at the end of each cycle. You may cancel anytime under Payment Settings. For more information, see our Terms and Privacy.
Payments are encrypted using 256-bit SSL. Powered by Stripe.