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Monday 2/24. Pop Quiz #6 Review Prickly Pear math questions See Salamanders and Lizards – Quiz M 3/3 Chapter 9 – L-P population estimates Due today: all of Prickly Pear Case Study Exam postmortem due Wednesday!!. Class Amphibia. Order Anura – frogs and toads
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Monday 2/24 • Pop Quiz #6 • Review Prickly Pear math questions • See Salamanders and Lizards – Quiz M 3/3 • Chapter 9 – L-P population estimates • Due today: all of Prickly Pear Case Study • Exam postmortem due Wednesday!!
Class Amphibia • Order Anura – frogs and toads • Order Caudata – salamanders and newts • Order Apoda – caecilians Class Reptilia • Order Testudines - turtles, terrapins, and tortoises • Order Squamata - lizards and snakes • Order Crocodilia - crocodiles and alligators
Missouri Lizards and Salamanders All images are from Wikimedia Commons, unless otherwise identified
Chapter 9 – Population Distribution and Abundance • What are some methods of counting populations?
Chapter 9 – Population Distribution and Abundance • What are some methods of counting populations? • What if the individuals are mobile? • Hidden/“cryptic”? • What if we only have a sample?
Required variables • N = n1n2/m2 • N = estimated population size • n1 = number of individuals marked in first sample. • n2 = number of individuals marked in second sample. • m2 = number of individuals captured in second sample, that were marked in the first.
This method only works IF: • Probability of survival is equal • Births and deaths are insignificant between release and recapture • Immigration and emigration are nonexistent or insignificant • Marked individuals re-mix randomly • The mark makes it no easier or more difficult to recapture • Marks are permanent
Practice A biologist nets 45 largemouth bass from a farm pond, tags their fins, and releases them unharmed. A week later, she nets 58 bass from the pond, including 26 tagged. Based on the L-I index, estimate the size of the population.
Mark-Recapture • m2 / n1 = probability that an animal will be captured. • So, how large is the population? • n2 is really the portion of N that we expect to capture. • This is N*p = n2 where p is m2/n1.
Population Density • So, N*p = n2 • N = n2 / p • N = n2 / (m2 / n1) = n1n2 / m2 • But, this is only part of the problem. We also need some estimate of area since Density, D = N / A.
Population Density • Imagine we study rodents using a trapping grid w/ 15m trap spacing. • We trap the animals over a series of nights, always noting the identity and location of each animal. • Then, we can estimate how far each individual moved between captures.
Population Density • Now, if an organism can travel from one station to the next, we can assume that it could travel half the distance to the next station as well. • Thus, the ‘effective area’ of our sample is the area of our grid, plus a border region around the grid, with a width of half the distance between stations.
Area? • What is the area of the grid? • Ag = W2 • How about the 4 rectangles? • Ab= 4 * W * (0.5 * D) • How about the 4 corners? • This is essentially the area of a circle. • Ac = (0.5D)2
Population Density • Finally, density can be estimated as