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Feb 20, 2024

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1 BIO171 Discussion Handout: Density Dependent Growth Objectives: Students will … 1. Continue to form answers to the Lecture 4 Guiding Questions 2. Explain what “regulated” means in the context of population growth. List density dependent factors that can regulate a population. 3. Describe the relevance (or lack thereof) of K in exponential growth, growth regulated by intraspecific competition, and growth regulated by another density dependent factor. 4. Recognize how to calculate r given the specific circumstances of the population growth (exponential growth and growth regulated by density dependent factors). 5. Describe, using graphs and words, whether and how r changes with N t given different types of population growth. 6. Use this equation to describe population size change d N /d t = r max N t ∙[( K - N t )/ K ] 7. Draw the expected graphical patterns if A) a density-dependent factor is influencing the population growth or B) no density-dependent factor is influencing the population growth. Prepare for your discussion activities 1. Lecture 4 and this discussion assume that you have mastered exponential growth of populations, which is the topic of Lecture 3 and the week 2 online, asynchronous discussion activity. If you still have questions about exponential growth, please use office hours to help you work through these understandings. 2. Required: Do Practice Question Set #4 . The answers are posted on CANVAS ( BIO171 LECT WN24 ). This will help you discover if you need to ask questions about exponential growth before moving forward. o If you find any specific question challenging, alert your Discussion Instructor so they can plan to go over it during discussion. 3. Learn the vocabulary and content from the Lecture 4 pre-lecture reading and the Lecture 4 lecture videos. 4. Watch Pre-Discussion Video for Week 3 (Density Dependence) : https://umich.instructure.com/courses/657643/pages/discussion-videos . This captures common office hours conversations about population growth and density dependence. 5. Suggested : Start Practice Question Set #5 . The answers are posted on CANVAS ( BIO171 LECT WN24 ). This focuses on density dependent growth. Illnesses and other circumstances The guidelines for what to do in an emergency or extraordinary circumstance or illness are here: https://umich.instructure.com/courses/657643/pages/bio171-discussion-policies How do BIO171 Discussion Instructors Grade Discussion? ● Please refer to the Discussion Policies page: https://umich.instructure.com/courses/657643/pages/bio171-discussion-policies Main Exercise Worksheet (Do this during class, with your small group.) 1. Consider a population that is growing exponentially.

2 a. Is a density dependent factor regulating this population? Yes or no? If yes, describe the factor. b. Assume the population begins very small. Draw a graph of population growth over time. Insert an image or draw here. c. Is carrying capacity ( K ) relevant when calculating r , in this situation? Explain. d. Is r constant or changing? Explain. Is λ constant or changing? Explain. e. Assume the population begins very small. Draw a graph of the effect (or lack of effect) of population size on r . Insert an image or draw here. f. We have multiple ways to calculate and estimate r . For this situation, which equation s are appropriate? g. Is this population being regulated? Explain your answer. 2. Consider a population that has intraspecific competition affecting its growth, but no other biotic factors. a. Is a density dependent factor regulating this population? Yes or no? If yes, describe the factor. b. Assume the population begins very small. Draw a graph of population growth over time. Insert an image or draw here. c. Is carrying capacity ( K ) relevant when calculating r , in this situation? Explain. no no constant r rmax if one constant both are both constant rermax rent iii in logistic yes intraspecific competition 5 yes because of introspecifi competition

3 d. Is this population being regulated? Explain your answer. e. Is r constant or changing? Explain. If changing, describe the change. Is λ constant or changing? Explain. If changing, describe the change. f. We have multiple ways to calculate and estimate r . For this situation, which equation s are appropriate? g. Assume the population begins very small. Draw a graph of the effect (or lack of effect) of population size on r . Insert an image or draw here. yes because it's II fin 1 HIKE he rermax the 1 e dat not In

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4 3. Consider a population that starts small, grows, and then is regulated by one biotic factor, but not intraspecific competition. a. Other than intraspecific competition, what factors can regulate this population? b. Pick one of your answers for (a) to use in your drawing, below. Assume the population begins very small. Draw a graph of population growth. Insert an image or draw here. c. Is carrying capacity ( K ) relevant when calculating r , in this situation? Explain. d. Is this population being regulated? Explain your answer. e. Is r constant or changing? Explain. If changing, describe the change. Is λ constant or changing? Explain. If changing, describe the change. f. We have multiple ways to calculate and estimate r . For this situation, which equation s are appropriate? g. Assume the population begins very small. Draw a graph of the effect (or lack of effect) of population size on r . intimidating f less than Interspecific yes f eeps it from infia's in a at r ln7rebti d ev lduidHNt Q

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