BIOL 4150 Lecture Notes - Carrying Capacity, Density Dependence

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ochreherring44

24 Feb 2012

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A continuously accelerating (or decelerating) rate of population increase as a function of population size: characteristics, closed population, births = increase, deaths = decrease. Initial population size = small, with unlimited resources. Nt = n0ert (n0 = pop size at time 0, e = base of the natural log (2. 72) [a constant] : example. : in norway rats that invade a new warehouse with ideal conditions, r = 0. 0147 indivs/indiv/day. They both describe change in population size with time. Not really, but for the purposes of this course it is depicted in this way: examples of exponential growth, whooping crane. Protected in the us in 1916; 15 birds in 1941: annual count data from the wintering grounds (southern us), suggest there are not over 200 birds (2010), reindeer following introduction in 1910. 4 males, 22 females after 30 years = 2000 individuals.

Related Questions

Compare and contrast the application of the exponential and logistic growth model to population growth.

Include examples and how each model may or may not address the assumptions listed below:

-A population is closed (growth only depends on births and deaths)

-Birth and death rates are constant

-All individuals are identical

-Reproduction is continuous (overlapping generations)

-Resources are totally unlimited

ceruleanbee737

---- Please hlep on ALL EXCERCISES on excel with each excersie on a separate tab. Thank You

Pop 1 â Exponential Population Growth

Exercise #1 Begin with a continuously growing population of 9 individuals and an intrinsic rate of growth (r) of 0.33 per year. Project the growth of this population over the next 10 years.

Exercise #2 Decrease r from 0.33 to 0.27 and repeat exercise 1. Include a graph showing the two population trajectories.

Exercise #3 Assume that the population in exercise #1 has discrete as opposed to continuous population growth with Î» = 1.40. Project the growth of this population over the next 20 years.

Exercise #4 If a continuously growing population contained 47 individuals in 2000 and 156 individuals in 2013, what is r?

Exercise #5 How many years would be required for a continuously growing population of 19 individuals with r = 0.15 to increase to a size of 500 individuals?

Exercise #6 What is the doubling time of a continuously growing population with an r = 0.007?

Exercise #7 What is the probability of extinction for a species of rare bird with an initial population size of 180, b = 1.41, d = 1.39. What if there were only 30 birds to start?

Exercise #8 Observations of an endemic salamander species in the Santa Cruz mountains have declined from 21 per transect in 1975 to 14 per transect in 2014. What is Î» for this discretely growing population?

Equations

t double = ln(2)/r

P(extinction) = (d/b)^N0

-------------------------------Please help out!!! Please do it on excel (upload it on excel) and have screenshots of it. Thank You!!!!!!-----------------------------

Please explain how to do all the parts to the question

2. You are studying some parthenogenic tarantulas with a population size of 300 individuals in a canyon where there is no possibility of migration. The canyon is huge and has an essentially unlimited supply of food and water for the tarantulas. During a one-month period, you record 40 births and 15 deaths. Assume that this population grows continuously.

(a) Estimate r and project the population size in 6, 12, and 18 months

(b) There is hard rain that floods the canyon and only 150 tarantulas survive. Project the population size in 6, 12, and 18 months.

BIOL 4150 Lecture Notes - Carrying Capacity, Density Dependence

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