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Lecture 4 - Is augmenting the population of juvenile...

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Is augmenting the population of juvenile turtles an effective way recover the population?
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Lecture Four Outline- “Stage Structured Population Models” I. Why build stage structured models? II. How to express as a matrix model III. How to gather the appropriate data VII. Elasticity analyses VIII. Age-based models H
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Model of Geometric Growth number next year = the multiplicative × number this year rate of increase H
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N t +1 = N t - deaths dN t + births bN t b is the per capita birth rate (3/4 = 0.75 births / individual / year) d is the per capita death rate (1/4 = 0.25 deaths / individual / year) Early Spring Early Spring Births and Deaths H last time
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Problems with the model for Big Horn sheep In reality Some are male and some are female Some are too young or too old to breed Some of the breeders will produce more young than others Some are so old that they are more likely to die H
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Problems with the model for Big Horn sheep All individuals at the end of the year are treated as identical (they have identical birth and death rates the next year) In reality Some are male and some are female Some are too young or too old to breed Some of the breeders will produce more young than others Some are so old that they are more likely to die H
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H
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Some are male and some are female H Track only the females
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Problems with the model for Big Horn sheep All individuals at the end of the year are treated as identical (they have identical birth and death rates the next year) But, in reality Some are male and some are female Some are too young or too old to breed Some of the breeders will produce more young than others Some are so old that they are more likely to die H
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We need to build a model for population dynamics that incorporates the different stages of the life cycle. Goal
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Stage Versus Age Based Population Models Stage-based is superior for: Populations where size matters more than age Populations where individuals shrink Populations that are difficult to age Otherwise, age-based models work well H
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Stage-Based Model Divide the population up into stages that differ in key demographic transitions (birth, growth, and death rates) Quantify: 1. The probability of transitioning between different stages 2. The contribution of each stage to new individuals
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