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ESTIMATING POPULATION SIZE USING THE LINCOLN INDEX 1. A biologist wants to estimate the size of a population of turtles on an island. He captures 20 turtles on his first visit, and marks their backs with red paint. Two weeks later he returns to the island and captures 25 turtles. Five of these 25 turtles have red paint on their backs. Using the Lincoln index equation, calculate the estimated population 2. Overfishing in Antarctica has resulted in a steep decline in Patagonian toothfish. Fishery scientists are monitoring the population size to see if it is recovering by using the mark-release-recapture method and the Lincoln index equation. On their initial visit, the scientists caught and marked 100 specimens. When they returned on a second visit, they captured a total of 70 Patagonian toothfish. If the scientists estimated the population size was 700, how many of the recaptured toothfish were marked?

ESTIMATING POPULATION SIZE USING THE LINCOLN INDEX 1. A biologist wants to estimate the size of a population of turtles on an island. He captures 20 turtles on his first visit, and marks their backs with red paint. Two weeks later he returns to the island and captures 25 turtles. Five of these 25 turtles have red paint on their backs. Using the Lincoln index equation, calculate the estimated population 2. Overfishing in Antarctica has resulted in a steep decline in Patagonian toothfish. Fishery scientists are monitoring the population size to see if it is recovering by using the mark-release-recapture method and the Lincoln index equation. On their initial visit, the scientists caught and marked 100 specimens. When they returned on a second visit, they captured a total of 70 Patagonian toothfish. If the scientists estimated the population size was 700, how many of the recaptured toothfish were marked?

Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
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ESTIMATING POPULATION SIZE USING THE LINCOLN INDEX

1. A biologist wants to estimate the size of a population of turtles on an island. He captures 20 turtles on his first visit, and marks their backs with red paint. Two weeks later he returns to the island and captures 25 turtles. Five of these 25 turtles have red paint on their backs. Using the Lincoln index equation, calculate the estimated population

2. Overfishing in Antarctica has resulted in a steep decline in Patagonian toothfish. Fishery scientists are monitoring the population size to see if it is recovering by using the mark-release-recapture method and the Lincoln index equation. On their initial visit, the scientists caught and marked 100 specimens. When they returned on a second visit, they captured a total of 70 Patagonian toothfish. If the scientists estimated the population size was 700, how many of the recaptured toothfish were marked?

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MATHS SKILLS 4.1 ESTIMATING POPULATION SIZE USING THE LINCOLN INDEX The Lincoln index is one of a number of mathematical equations that can use the mark-release-recapture data to estimate the population size. The Lincoln index uses the following formula and symbols: N= x n₁ X n₂ m₂ where N = estimate of population size n₁ = number of individuals captured in first sample n₂ = number of individuals (both marked and unmarked) captured in second sample m₂ = number of marked individuals recaptured in second sample
Transcribed Image Text:MATHS SKILLS 4.1 ESTIMATING POPULATION SIZE USING THE LINCOLN INDEX The Lincoln index is one of a number of mathematical equations that can use the mark-release-recapture data to estimate the population size. The Lincoln index uses the following formula and symbols: N= x n₁ X n₂ m₂ where N = estimate of population size n₁ = number of individuals captured in first sample n₂ = number of individuals (both marked and unmarked) captured in second sample m₂ = number of marked individuals recaptured in second sample
CONTINUED Worked example The mark-release-recapture method was performed on dog whelks found a rocky shore. The results were: n₁ = number of dog whelks captured and marked on the first visit: 120 n₂ = number of dog whelks (both marked and unmarked) captured on the second visit: 200 m₂ = number of recaptured dog whelks that were marked: 40 Use the Lincoln index equation to estimate the total population size of dog whelks, N. N = n₁ x n₂ m₂ 200 × 120 40 = 600 Questions 1 A biologist wants to estimate the size of a population of turtles on an island. He captures 20 turtles on his first visit, and marks their backs with red paint. Two weeks later he returns to the island and captures 25 turtles. Five of these 25 turtles have red paint on their backs. Using the Lincoln index equation, calculate the estimated population size. 2 Overfishing in Antarctica has resulted in a steep decline in Patagonian toothfish. Fishery scientists are monitoring the population size to see if it is recovering by using the mark- release-recapture method and the Lincoln index equation. On their initial visit, the scientists caught and marked 100 specimens. When they returned on a second visit, they captured a total of 70 Patagonian toothfish. If the scientists estimated the population size was 700, how many of the recaptured toothfish were marked?
Transcribed Image Text:CONTINUED Worked example The mark-release-recapture method was performed on dog whelks found a rocky shore. The results were: n₁ = number of dog whelks captured and marked on the first visit: 120 n₂ = number of dog whelks (both marked and unmarked) captured on the second visit: 200 m₂ = number of recaptured dog whelks that were marked: 40 Use the Lincoln index equation to estimate the total population size of dog whelks, N. N = n₁ x n₂ m₂ 200 × 120 40 = 600 Questions 1 A biologist wants to estimate the size of a population of turtles on an island. He captures 20 turtles on his first visit, and marks their backs with red paint. Two weeks later he returns to the island and captures 25 turtles. Five of these 25 turtles have red paint on their backs. Using the Lincoln index equation, calculate the estimated population size. 2 Overfishing in Antarctica has resulted in a steep decline in Patagonian toothfish. Fishery scientists are monitoring the population size to see if it is recovering by using the mark- release-recapture method and the Lincoln index equation. On their initial visit, the scientists caught and marked 100 specimens. When they returned on a second visit, they captured a total of 70 Patagonian toothfish. If the scientists estimated the population size was 700, how many of the recaptured toothfish were marked?
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