Ecosystem Interactions and Energy Unit Page | 38 Ecosystem Interactions and Energy At the end of this unit, I will be progressing towards mastering the following NGSS Standards: Engineering Practices: Developing and using models Using mathematics and computational thinking Engaging in argument from evidence Disciplinary Core Ideas: LS 2-1: Use mathematical and/or computational representations to support explanations of factors that affect carrying capacity of ecosystems at different scales. LS 2-2: Use mathematical representations to support and revise explanations based on evidence about factors affecting biodiversity and populations in ecosystems of different scales. LS 2-4: Use mathematical representations to support claims for the cycling of matter and flow of energy among organisms in an ecosystem. LS 2-8: Evaluate the evidence for the role of group behavior on individual and species’ chances to survive and reproduce. Cross Cutting Concepts: Cause and effect: Empirical evidence is required to differentiate between cause and correlation and make claims about specific causes and effects. Scale, proportion, and quantity: The significance of a phenomenon is dependent on the scale, proportion, and quantity at which it occurs. Using the concept of orders of magnitude allows one to understand how a model at one scale relates to a model at another scale. Systems and system models: Models (e.g., physical, mathematical, computer models) can be used to simulate systems and interactions—including energy, matter, and information flows—within and between systems at different scales. Energy and matter: Energy cannot be created or destroyed—it only moves between one place and another place, between objects and/or fields, or between systems. Energy drives the cycling of matter within and between systems. Stability and change: Much of science deals with constructing explanations of how things change and how they remain stable. Roots, Prefixes and Suffixes I will understand are: a-, bio-, im-, em-, natal-, mortal-, gene-, different-, logis-, exponent-, The terms I can clearly define are: biomass, trophic level, producer, consumer, abiotic, biotic population, immigration, emigration, natality, mortality logistical growth, exponential growth, carrying capacity (K) density-dependent factors, density-independent factors, limiting factors, predator, prey dispersion, clumped, uniform, random innate behavior, evolution, natural selection, genetic variation, selective pressure, differential reproduction, heredity Page | 39 The assignments I will have completed by the end of this unit are: Ecosystem Interactions and Energy PreReading Acrostic Poem for the 6 Common Elements of Life Building Biology Words Looking at Biomes to Study Systems and Matter Organic Building Blocks Traveling Nitrogen Passport Ecosystem Interactions and Energy Study Guide Parts of an Ecosystem Review Population Ecology Notes Estimating Population Size: Mark and Recapture Page | 40 Population Ecology Reading Oh Moose! Examining Population Density and Dispersion Human Population Pyramids Understanding Exponentials The History of Human Population Growth Exploring Growth Models – Viva Amoeba Population Trends Population Trends Storyboard Population Trends Predator-Prey Model Predator-Prey Relationships Group Behavior Google Presentation Common Core: Genes and Social Behavior Study Guide Ecosystem Interactions and Energy Pre-Reading Ch. 2 (pg. 32-49) & Ch. 4 (pg.90-110) & Ch. 5 (pg. 116-135) What are biotic and abiotic factors? Define and give examples of each. Create a Venn diagram to compare/contrast consumers and producers. Include the terms autotroph and heterotroph. Provide examples of each. What role do detritivores and decomposers have in an ecosystem? Explain how energy moves through food chains and where/how energy is lost. Page | 41 Define biomass. What happens to the amount of biomass at each tropic level? Label the image below to show the following: Producers Primary consumers Secondary consumers Where is the most/least biomass found? Where is the largest/smallest population? Define biogeochemical cycle. Draw an example of how carbon or nitrogen cycles through the ecosystem. Use terms Carbon and/or Nitrogen fixation. In your diagram, show how elements cycle from abiotic to biotic forms. Page | 42 What is nitrogen fixation and why is it necessary? What are limiting factors and how do they affect population size? Provide examples in your explanation. What is the difference between immigration and emigration? What is carrying capacity? Give examples of things that influence an environment’s carrying capacity. Page | 43 Label the lines below as representing exponential growth or logistic growth. Below each graph, briefly explain how the population is changing over time and then predict what will happen to the populations in the future. Define biodiversity. Why is biodiversity important? List and briefly explain threats to biodiversity. Page | 44 Using the graph below, explain how the total red fox population has changed over time. Page | 45 Acrostic Poem for the Six Common Elements of Life Carbon Hydrogen Oxygen Nitrogen Phosphorus Sulfur Page | 46 C H O N P S Building Bio logy Words My word part and definition Bio- = My partner’s word part and definition -logy = Our Word Parts Combined Translation Biology Page | 47 What Makes Something Alive? Introduction: All living things, no matter how different they may be, share common characteristics. Instructions: Before we begin, let’s take a moment to explore what makes something alive. Why do we consider plants to be living or biotic, but a set of keys to be abiotic or not alive? What characteristics do all living things have in common? In this activity, you will rotate around the room and examine objects in the jars. As you explore, create some form of graphic or table to group/classify these objects as being biotic or abiotic in the space below. Be prepared to share your ideas with the class. What are the survival needs of all living things? What characteristics to all living things share. Come up with 5 characteristics or survival needs. Page | 48 What Makes Something Alive? Now that the class brainstorm is complete, respond to the following prompt: What makes something alive? In other words, what characteristics do all living things share, despite their differences? Support your claim with concrete evidence and examples. ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Page | 49 Levels of Organization Label the diagram below. After labeling, be sure to define levels, as you see fit. Page | 50 Ecosystem Interactions and Energy – Common Core Practice Referring to the food web diagram on the next page: a) Classify the producers and consumers as autotroph or heterotroph (label on the diagram). b) What is the limitation to this model? If matter and energy “cycles” through a system, what might be missing from this model? Add the missing component to the diagram. c) Highlight one food chain from the food web, starting from a producer and cycling back to the producer. d) Describe how matter cycles through your food chain. In your description, emphasize atoms and molecules. e) Describe how energy cycles through your food chain. In the discussion of energy, quantify how much energy is available to move on to the higher trophic levels. In addition, quantify how much energy leaves the trophic system and enters the surrounding environment. Page | 51 All Organisms Use Energy: Food Web Page | 52 Intentionally Left Blank for additional brainstorming, diagrams, or notes Page | 53 Looking at Biomes to Study Systems and Matter As we analyze the video on biomes and ecosystems, we will define systems. In the space below, draw a conceptual representation of a system. If an organism is a system, where is matter entering and leaving this system? Label the diagram below. Emphasize nitrogen and carbon cycles. Use terms carbon fixation and nitrogen fixation in labels. Page | 54 Looking at Biomes to Study Systems and Matter Exactly, what is a system? Try to define it. What are other examples of systems? What are some abiotic vs. biotic parts within these systems? How do they interact? What happens to matter within a system? How does matter move through the abiotic and biotic components? How does matter build mass? Can matter within a system be lost or destroyed? (demo after the video) Page | 55 Modeling Organic Compounds Using the research on the opposite page, draw an organizational model that represents the four organic compounds and the elements that make them up. Work with your group, use poster paper to create your model. You have 15 minutes to complete this activity on your poster paper, so be efficient with your time. Page | 56 Organic Building Blocks 1. Producers, or autotrophs, are found on the first trophic level of the food web. Using the sun as an energy source, what type of “matter” do producers or autotrophs make? (Hint: think about photosynthesis…) 2. Based on your response to the above question, what atoms make up this matter? (Use mobile technology to help you.) 3. From carbohydrates like sugar (glucose as an example), matter can be converted to lipids (fats), amino acids (to build protein), and nucleic acids (DNA). a) What atoms are found in lipids, commonly known as fats? b) What atoms are found in amino acids and proteins? c) What atoms are found in nucleic acids? 4. Do all three elements (atoms) found in carbohydrates exist in lipids, proteins and nucleic acids? 5. In addition to these three basic elements found in carbohydrates, what additional atoms do you need to build amino acids and proteins? 6. In addition to these three basic elements found in carbohydrates, what additional atoms do you need to build a nucleic acid? Page | 57 Organic Building Blocks Page | 58 Organic Building Blocks 7. Examine the ecosystem on the opposite page. Consider the following questions as we discuss this image as a class. We will be labeling the diagram, per your teacher’s instructions, during the discussion. a) What organisms do you see in this ecosystem? Are these biotic or abiotic? b) What abiotic components do these organisms interact with in order for them to get the elements necessary to support life? Give specific examples or the abiotic components and what elements these components will contribute. Page | 59 Page | 60 At the end of your journey through the Nitrogen Cycle, complete the following: 1. Write a paragraph about your trip through the nitrogen cycle. Include information about (1) where you went, and (2) how you got to each destination. 2. Do some research and look up the Nitrogen cycle. Create a similar diagram specifically documenting your journey through the nitrogen cycle, based on this activity. Page | 61 Review: Parts of an Ecosystem Use the following info-graphic to define organism, population, and community. Page | 62 Population Dispersion Patterns Concept Cards: Density Independent Factors vs. Density Dependent Factors Page | 63 Population Ecology Notes (Use your textbook, pages 92-104 to fill out your notes) What is population density? Population density is: Dispersion is the ______________ of spacing of a _______________ in an What is dispersion? List the three types. area. _______________________ _______________________ _______________________ ___________________ ________________ determines dispersion patterns. Density independent factors do not depend on What are density independent factors? ________________________________________________ Usually __________________ Include ________________________ (ex. flood, drought, extreme heat or cold, tornadoes, hurricanes) What are density dependent factors? Density dependent factors depend on ________________________________________________ Often __________ (ex. predation, disease, parasites, competition) Page | 64 Define population growth rate and its characteristics. Population growth rate explains ______________________ ________________________________________________ Natality: __________ rate Mortality: __________ rate Emigration: number of individuals moving ___________________ a population Immigration: number of individuals moving ___________________ a population Describe exponential growth. Exponential growth starts slow (called the _______________ phase) Exponential growth is illustrated by a ___________________ curve. It is also called ________________________ growth. All populations grow exponentially until _________________ ________________________________________________________________ __________________ become limited and population growth slows. Describe logistic growth. Logistic growth is illustrated by a ______________________ curve. Page | 65 Describe logistic growth, continued Logistic growth occurs when _______________________________________ __________________________________________at the carrying capacity. (K) A population stops increasing when: What is carrying capacity? births __________ deaths emigration _________ immigration The ___________________________________________ that an environment can support for the long term is the carrying capacity, represented by the letter “K.” Page | 66 Estimating Population Size: Mark and Recapture Introduction One of the goals of population ecologists is to explain patterns of species distribution and abundance. In today’s lab we will learn some methods for estimating population size and for determining the distribution of organisms. Measuring Abundance: Mark-Recapture Mobile animals are usually simpler to define as individuals, but harder to count, because they tend to move around, mix together, and hide from ecologists. Quadrats are not a good approach with mobile animals because immigration and emigration in and out of the study site make it hard to know what area the entire population occupies. For largemouth bass in a farm pond, you could easily draw a line around a map of the population, but how would you define the edges of a population of house sparrows in your community? Although house sparrows tend to be more concentrated in towns and urban areas, they do not stop and turn back at the city limit sign. For zoologists, a fuzzy definition of the space occupied by the population often forces an arbitrary designation of the survey group, such as the "population" of robins nesting on your campus in the spring. Knowing the number of animals in a designated study area is interesting, but we must bear in mind that the ecological population is defined in terms of interactions among organisms of the same species, and not by the ecologist's convenience. After defining the individual and establishing the limits of the population you wish to count, your next task is to choose a counting method. Arctic and prairie habitats lend themselves to accurate survey by aerial reconnaissance. This approach works poorly in forests, at night, underwater, or in soil habitats. If animals can be collected or observed in a standard time or collecting effort, you can get an idea of relative abundance, but not absolute numbers. For example, the number of grasshoppers collected in 50 swings with an insect net through an old field community produces data that could be used to compare relative abundance in different fields, but would not tell you how many grasshoppers were in the population. For estimates of absolute numbers, mark-recapture methods can be very effective. The first step is to capture and mark a sample of individuals. Marking methods depend on the species: birds can be banded with a small aluminum ankle bracelet, snails can be marked with waterproof paint on their shells, butterflies can have labels taped to their wings, large mammals can be fitted with collars, fish fins can be notched, and amphibians can have nontoxic dyes injected under the skin. Marked animals are immediately released as close as possible to the collection site. After giving the animals time to recover and to mix randomly with the whole population, the ecologist goes out on a second collecting trip and gathers a second sample of the organisms. Page | 67 The size of the population can then be estimated from the number of marked individuals recaptured on the second day. The assumption behind mark-recapture methods is that the proportion of marked individuals recaptured in the second sample represents the proportion of marked individuals in the population as a whole. In algebraic terms, R = M S N M = Animals Marked and Released N = Population Size R = Animals Recaptured on the Second Day S = Size of the Sample on the Second Day Let’s consider an example. Let’s say you want to know how many box turtles are in a wooded park. On the first day, you hunt through the woods and capture 24 turtles. You put a spot of paint on the shell of the turtles found, and release them all the turtles back where you found them. A week later, you return to the same area and capture 60 turtles. Of these 15 are marked, and 45 are unmarked. Since you know how many were marked (M), sampled (S), and re-captured (R), you can figure out the size of the whole population (N). 15 = 24 60 N This can be rearranged algebraically to N= (24) (60) 15 N = 96 turtles This method is called the Lincoln-Peterson Index of population size. In the rearranged version of the general formula, notice that the smaller the number of recaptures, the larger the estimate of population size. This makes good biological sense, because if the population is very large, the marked animals you release into the wild will be mixing with a greater number of unmarked animals, so you will recapture a lower percentage of them in your second sample. Page | 68 Estimating Population Size: Mark and Recapture Lab Objective: You will be expected to estimate the size of a sample population using the markrecapture technique. Be able to apply the technique to new population problems and compare the mark and recapture technique to other methods of population estimating. Opening Discussion: If you were in charge of a team given the responsibility to determine the number of sunfish in Horseshoe Lake, discuss with your partner how would you accomplish this task and describe in detail below. A bulleted list is okay. Draw a model of what you discussed: Page | 69 Technique 1: Sampling A technique called sampling is sometimes used to estimate population size. In this procedure, the organisms in a few small areas are counted and projected to the entire area. For instance, if a biologist counts 10 squirrels living in a 200 square foot area, she could predict that there are 100 squirrels living in a 2000 square foot area. 1. A biologist collected 1 gallon of pond water and counted 50 paramecium. Based on the sampling technique, how many paramecium could be found in the pond if the pond were 20,000 gallons. 2. What are some problems or limitations with this technique? What could affect its accuracy? Page | 70 Technique 2 - Mark and Recapture In this procedure, biologists use traps to capture the animals alive and mark them in some way. The animals are returned unharmed to their environment. Over a long time period, the animals from the population are continued to be trapped and data is taken on how many are captured with tags. A mathematical formula is then used to estimate population size. Procedure: 1. You will receive a bag that represents your population (beans, pennies, chips, beads) 2. Capture “animals” by removing them randomly from the bag. Record the number that was originally captured. 3. Place a mark on them using tape. 4. Return the “animals” to the container. 5. With your eyes closed, select a handful of “animals” from the container. This is the recapture step. Record the number of “animals” captured the 2nd time and the number of animals that have a mark on the data table. 6. Return the “animals” to the bag and repeat. Do 10 recaptures. 7. When the ten recaptures are completed, enter the total number captured on the data table. 8. Also enter the total number of recaptured that have a mark Page | 71 Data Table Original Number Marked _________ Trial Number Number Captured Number Recaptured with mark 1 2 3 4 5 6 7 8 9 10 Average Calculations Set-up an equation that will help you determine the population size of your animals. (Hint: use a technique involving ratios, and the variables M, N, R, and S. If you can’t remember what the variables stood for, look back on the previous reading to help you.) Brainstorm on your whiteboard with your lab group, and your teacher will check your ratios. Record your equation below. Page | 72 1. What is the mean estimation of your population? Show your calculations below: Estimated Population Size ___________ 2. Count how many “animals” are really in your population. Actual Population Size: ____________ 3. Compare the actual size to the estimated size. underestimate? Did you overestimate or 4. Repeat the experiment, this time add another 10 data fields to the ten trials you already have in order to have a larger sample size. Trial Number Number Number Captured Recaptured with mark 11 12 13 14 15 16 17 18 19 20 Average (over 20 trials) Page | 73 5. Recalculate your estimated population size, using the formula. (Show calculations below) Estimated Population Size _____________ 6. How does sample size affect the accuracy of the mark and recapture method? 7. What might be some limitations or problems with the mark and recapture method? 8. Choose one limitation and suggest how to solve this problem. Page | 74 Sample Calculations: Given the following data, estimate the size of a butterfly population in Wilson Park. 1. A biologist originally marked 40 butterflies in Wilson Park. Over a month long period butterfly traps caught 200 butterflies. Of those 200, 80 were found to have tags. Based on this information, what is the estimated population size of the butterflies in Wilson Park? (Show calculations) 2. In what situations would sampling work best for estimating population size, in what situations would mark & recapture work best? You’ll probably have to think about this one. Justify your claims. Page | 75 Population Ecology Reading Directions: Read and mark the following text about population ecology. Number your paragraphs. Circle “essential terms,” and highlight definitions, explanations, phenomena, or processes. A population is a group of organisms of the same species that live in a certain area. Ecologists regularly monitor the number of organisms in many populations, but why do they do this? Why do we care if the number of organisms in an area is growing or shrinking? Well, populations that are growing and shrinking can be indicators of potential problems occurring in the organisms’ environment, and gives ecologists a “heads up” if something is going wrong. But it is not enough to simply know if the number of organisms in an area is going up or going down; ecologists need to know why the number of organisms is fluctuating. So, one of the main questions ecologists ask themselves is this: Why is a population’s size going up or going down? There are many factors that can cause a population’s size to change. But first, you must understand the basic reasons behind why a population grows or shrinks. Any population, whether it be humans, chipmunks, the mold growing on bread, or the bacteria living in your intestines, will grow if more organisms are being created, or born, than are dying. If a population has more organisms dying than are being born, then the population will shrink. The number of births in a population is called the birth rate (also referred to as natality). The number of organisms that are dying in a population is called the death rate (also referred to as mortality). Thus, if the birth rate is greater than the death rate, a population will grow. If the death rate is greater than the birth rate, then the population will decrease in size. While populations would probably like to continue to grow in size, a population of organisms cannot grow forever—its growth will be limited, or stopped, at some point, and the death rate will be greater than the birth rate. A population’s growth is limited by two general factors: density-independent factors and density-dependent factors. Why are these factors named in such a complicated way? Well, actually, these names aren’t as complicated as they seem; in fact, they can even help you remember what each of the terms means. To understand why scientists named these factors in the way they did, you must first understand the concept of population density. A population’s density is NOT whether or not the population will float or sink. Population density refers to how many organisms there are in one particular spot. If a population’s density is very high, that means there are a lot of organisms crowded into a certain area. If a population’s density is low, that means there are very few organisms in an area. Page | 76 Now that you know about population density, we can talk about the difference between the two types of limiting factors. If a factor that stops a population’s growth is influenced by the population’s density, then it is called a density-dependent limiting factor. If the population’s density does not influence whether or not the factor stops the population’s growth, then it is called a density-independent limiting factor. Density-independent limiting factors that can stop a population from growing can be such things as natural disasters, temperature, sunlight, and the activities of humans in the environment. Natural disasters such as tornadoes, floods, and fires will stop a population from growing no matter how many organisms are living in a certain area. The same goes for the temperature of an area and the amount of sunlight an area receives—if the temperature increases due to global warming, or if the ash kicked up into the atmosphere from an asteroid smashing into the earth blocks out a lot of sunlight for a few decades, these will both cause a decrease in a population’s numbers, no matter how large or small the population was to begin with. Human activities that alter the environment will also decrease the amount of organisms in a population, no matter the size of the population. Density-dependent limiting factors come into play when a population reaches a certain number of organisms. Thus the number of organisms in the population matters when talking about density-dependent limiting factors. For example, when a population reaches a certain size, there won’t be enough resources (food, shelter, water) for all of the organisms. This could cause the population to stop growing when it reaches the maximum number of organisms that can be supported, or “carried,” by the environment. This number is known as the population’s carrying capacity. Each population of organisms has a different carrying capacity, depending on the area in which it lives and the amount of resources available in that area. Below is a graph of a bacteria population that has reached its carrying capacity: This type of population growth is called logistic population growth; it represents what actually occurs as a population’s numbers get too large for the environment to support it. First there is a lag phase, where population growth is slow. Then the population will increased rapidly (exponential phase) due to the abundance of resources. In other words, there are no limiting factors. The bacterial growth began to slow down towards the end after 3 hours. Once the population numbers leveled off, roughly equal numbers of bacteria were dying as being born. Page | 77 Before a population reaches its carry capacity, it experiences a period of rapid growth. This period of growth is called exponential population growth, because, mathematically, the population is adding organisms at an exponential rate. During this time period, there are plenty of resources available for all organisms, so more organisms are being born than are dying. The graph for exponential population growth looks sort of like the graph for logistic population growth, only without the flat “leveling off” line at the end of it. Create an essential terms list of your reading here. Page | 78 Write a summary of your reading. Oh Moose! Objectives: In this activity, you will identify three limiting factors that animals need to survive. Limiting factors are factors that limit the growth of a population. Examples of limiting factors are elements of habitat, such as food, water, and shelter. If animals do not have these necessities, their chances for survival and reproduction are greatly reduced, and they may die. Activity Overview: In this simulation, ¼ of the class will act as “moose” while ¾ of the class will become the components of habitat. Each moose must find three habitat essentials: food, water, and shelter. When a moose is looking for food, it holds his hands (hooves) over its stomach. When a moose is looking for water, it holds its hands over its mouth. When a moose is looking for shelter, it holds its hands over its head. At the beginning of each round, a moose can decide what to look for. Once a moose has chosen what to look for, it cannot change until the beginning of the next round. Each player in the habitat group randomly chooses to be one of the essentials – food, water, or shelter – at the beginning of each round. These students will use the same hand gestures to indicate their identity. The moose group and the habitat group will be standing apart across a field with your backs facing each other. Your teacher will ask all the players to make hand gestures for food, shelter, or water. On the count of three, all students will turn around to see the other group. Moose continues to hold their hand gestures and run or walk to a player at the other line displaying the same habitat gesture. They escort the habitat person back to the moose line, because “successful” moose are able to survive and reproduce. If a moose does not obtain its needed essential, it “dies” and turn into a habitat component in the next round. Your teacher will keep track of the number of moose at the beginning of each round of play. The game will be played for 8 – 15 rounds. Page | 79 Oh Moose! Data table: Time in 0 Years Number of Moose Population Graph: Title: Page | 80 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Oh Moose! Analysis: 1. Examine your graph and analyze it. Create a line of best fit with your teacher, using the raw data. Determine if there are any parts of the graph that demonstrates fast growth phase of your population, a leveling off of the population, or a decline in your population. Highlight these 3 growth phases on your graph. a. Calculate the growth rate of where the population increases the fastest. b. Calculate the growth rate when population begins to level off. c. Calculate the growth rate when the population begins to decline. 2. Analyze the data on the graph. Explain areas in the graph where the birth rate exceeded the death rate. Use the graph to defend your answer. 3. Are there any periods on the graph where the death rate and the birth rate were equal? If so, explain where. Use the graph to defend your answer. 4. Are there any periods on the graph where the death rate exceeded the birth rates? Use the graph to defend your answer. Page | 81 5. Define “limiting factor”, then explain which limiting factors caused a decline in the population of moose. 6. Explain the difference between density dependent and density independent factors, then determine if the limiting factors in this simulation were density dependent or density independent. 7. Define carrying capacity, and then defend if your moose population ever reached its carrying capacity. Page | 82 Understanding Exponentials Consider this: An employer offers you two equal jobs for one hour each day for fourteen days. The first pays $10 an hour. The second pays only 1 cent per hour, but the rate doubles each hour. In the graph below, graph a model of which job you think will pay the best rate over the course of 14 days. You will need to graph two lines, one that represents the rate of pay for job 1, and the second line that represents the rate of pay for job 2. Rate of Pay for Job 1 vs. Job 2 Understanding Exponentials After creating your initial model, complete the following calculations: Job 1: Paid $10/hour for 14 days. Calculate the RATE of pay for 14 days in the 2nd row. In the 3rd row, calculate the total amount of pay over the 14 days Day 2 3 4 5 6 7 8 9 10 11 12 13 1 Rate $10 $10 Total $10 Pay $20 14 $10 Job 2: Pays only 1 cent per hour, but the rate doubles each hour. Calculate the RATE of pay for 14 days in the 2nd row. In the 3rd row, calculate the total amount of pay over the 14 days Day 1 2 3 $.01 $.02 $.04 Total $.01 Pay $.03 Rate 4 5 6 7 8 9 10 11 12 13 Page | 83 14 Understanding Exponentials After completing the calculations from the previous page, revise your original model. Label your new graphical model with the lag phase and exponential phase. Rate of Pay for Job 1 vs. Job 2 Now, how much would your employer owe you if you stayed at this job for another 2 weeks? What would happen if this type of growth took place within a population? Page | 84 The History of Human Population Growth Page | 85 The History of Human Population Growth On the grid provided on the opposite page, graph the data below. Once the data is graphed, use the graph to answer the questions. Questions (after the graph is completed): 1. If you had to compare the shape of the graph to a letter in the alphabet, what does it look like? 2. If growth slowed down considerably, what letter of the alphabet would the shape of the curve begin to look like? 3. At the current rate of growth, the population is projected to reach approximately 10 Billion by 2050. What do you think this growth rate will mean in terms of resources and quality of life? 4. Can this rate of growth go on forever? Why or why not? 5. How is this graph different from a population pyramid? What does this graph reveal? Page | 86 Exponential Growth Page | 87 Logistic Growth: Staying at Carrying Capacity (K) Page | 88 Population Trends Do Fruit flies and rabbits show similar trends in population growth? Fruit Fly Population Growth Days Number of Fruit flies 5 100 10 105 15 1000 20 1600 25 2400 30 3350 35 8000 40 13,150 Page | 89 Rabbit Population Growth Page | 90 Generations Number of Rabbits 1 10 2 50 25 100 37 200 55 300 72 310 86 320 100 320 Population Trends Analysis: Use the tables and graphs to answer the following questions: 1. What type of growth pattern does the fruit fly population exhibit? 2. Does the rabbit population experience the same type of growth as the fruit flies? Explain. 3. Does either graph indicate there is a carrying capacity for the population? If so, when does the population reach its carrying capacity? 4. What is the maximum number of individuals that can be supported at that time? 5. Using the storyboard template provided, tell a story about the population that reached its carrying capacity. Be sure to include the following: logistical growth, exponential growth, carrying capacity, and density dependent as well as density independent factors that may affect the population growth. Page | 91 ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ Freeology.com – Free Teaching Resources ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ Name(s): ______________________________________________________________Date: ___________ Period: _______ Storyboard ______________________________________ ______________________________________ ______________________________________ ______________________________________ ______________________________________ Page | 92 Population Trends Predator-Prey Model Animals such as foxes and cats often prey on rabbits. Based on the growth curve of the rabbit population in the previous activity, what might happen if a group of predators move into the rabbits’ habitat during the tenth generation and begin eating rabbits? Revise the original graph that you drew on page 65. In this model, you should have two lines: one line to represent your rabbit population and another line to represent your predator population. Make sure to include a legend in your model. Do your best in drawing your model. You will get the chance to revise your model, as you learn more about predator-prey relationships. Page | 93 Population Trends Predator-Prey Model Revision Examine your initial predator-prey model that you created on page 68. Your teacher may choose a few student models to display on the projector and analyze. Go over the various student models and analyze the flaws in each model. After you analyze various flaws, re-vise your predator-prey graph model here on this graph. Use the space below the graph to explain your revised predator-prey graph. If you do not have enough space to write, continue on the back of the page. Page | 94 Predator-Prey Simulation Objective: To simulate predator prey interactions, the numbers of predator and prey in their “ecosystem” will be recorded and graphed. Materials: 1. 200 small squares cut from index cards (approximately 1 inch squared) -- The small squares represent the prey population (or hares) 2. 50 large squares cut from index cards (cut index cards in half) -- The large squares represent the predator population (or mountain lion) 3. Data table and blank graph to graph Instructions: Create an ecosystem by taping a square that is 11” x 17” using blue painter’s tape or use 11” x 17” construction paper. (please clear all objects) 1. On your data table generation 1, start by recording 1 predator and 3 prey. 2. Drop 3 “prey” or hares on your grid. (randomly dispersed) 3. Drop 1 “predator” or mountain lion onto the grid and attempt to make the card touch 4. 5. 6. 7. 8. 9. as many “prey” as possible. In order to survive, the predator must capture at least 3 prey. It will be impossible for your predator to survive at this point. Remove any “prey” captured or eaten. Remove any predator that did not eat at least 3 hares. (They starved). Record your data for the 1st generation, under the number of prey remaining and the number of predator remaining. The “prey” population doubles each generation. Count how many hares you have left on your table, double that number and add prey cards to the table, and disperse them evenly. Record the number in the data table under the 2nd generation “number of hares”. (It should be 2x the number you have under the “hares remaining” for generation 1) Your predator died during the first round, but that’s okay, a new predator moves in for the second round. If your predator died, put 1 in the “number of predators” for generation 2 to represent the new arrival. Repeat the dropping procedure and record your data for the second generation. Again, number of prey doubles, if your predator didn’t “capture” 3 prey, it died. But a new one moves in for the next round. Keep going, adding to the number of prey each round. Eventually your predator will be able to capture enough prey to survive. Guess what happens? The number of predators doubles. Add to your predator population by adding predator cards. Now when you drop your predators, you will be dropping more than one. Don’t forget to remove any “captured” prey. Don’t forget to remove predators that do not eat at least 3 prey. Don’t forget to make predators that survive reproduce and double in number. Continue to record the data through 20 generations. Page | 95 Predator-Prey Data Table Generations 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Page | 96 Number of Mountain Lions (Predator) Number of Hares (Prey) Number of Mountain Lions (Predators) Remaining Number of Hares (Prey) Remaining Predator-Prey Graph: Construct a graph. On the X-axis, put generations 1 through 20, on the Yaxis you will have the population numbers for each generation (number of predators, number of prey). Use one line for the predator and one line for the prey to graph the data. Provide a legend! Title: ________________________________________________________ Legend: Page | 97 Analysis Questions 1. What is a carrying capacity? 2. Did the predator and prey reach carrying capacity in this simulation? If so, are the carrying capacities of the predator and the prey population the same? Explain. 3. What affects the carrying capacity of prey populations? 4. What affects the carrying capacity of predator populations? 5. What type of graph did you create? Explain. 6. Which population always increased first? ________________Why? 7. Which population always decreased first? _________________ Why? Page | 98 8. How long did a cycle of increase and decrease take for hares? ______ For mountain lions? _____ 9. Which population was almost always in greater numbers? 10. Which population was almost always in smaller numbers? 11. What effects did the rabbit population have on the mountain lion population? 12. What effects did the mountain lion population have on the rabbit population? 13. Keep in mind that as in any simulation, certain assumptions are made and many variables are overlooked. What other limiting factors could subject a natural population to pressure and disturbance? Name and explain at least four factors. Within your explanation, classify each factor as density dependent or density independent. Page | 99 Predator-Prey Relationships Ecologists gather data about population densities of different organisms in order to understand how these organisms interact with their environments. The graph in Figure 1 represents a growth curve for the population of a single species. This type of curve is called a logistic growth curve. From this curve, you can read the carrying capacity of the population. Carrying capacity is the number of individuals that can be supported in an environment with the resources available. When the population has reached carrying capacity, the curve will level off. 1. Time is represented on the -axis. 2. The number of individuals is represented on the -axis. 3. At which point on the curve (I, II, III) is the population increasing at the fastest rate? 4. At which point on the curve (I, II, III) is the population leveling off? 5. At which point on the curve (A or B) has the population reached the carrying capacity or the maximum population density for its environment? 6. What would happen to the growth curve if the temperature suddenly dropped, a pollutant or a new predator were introduced, thus making the environment less than ideal for this organism? Page | 100 Examine the following graphs of populations that have reached their carrying capacity. Remember that the carrying capacity (K) of any population can be found on the graph of population growth. Carrying capacity has been reached when the logistic population curve levels off. 7. Populations tend to fluctuate over time. This population growth curve for sheep has been normalized, which means that a smooth curve has been drawn to show approximate carrying capacity. What is the carrying capacity of the sheep in this environment? 8. A population of daphnia in a pond has been shown to have a growth curve like the one to the right. How long does it take this population to reach carrying capacity? 9. What is the carrying capacity of this population? 10. The graph to the right shows the population growth curve for a population of bacteria in two different media. Since this is their environment, what is the difference between the carrying capacity of this population in Medium 154 and the EpiLife medium? 11. It takes large mammals a greater amount of time to reach carrying capacity than it does for a population of small animals or bacteria. What is the carrying capacity of this deer population in its present environment? How can a population of deer be kept at or near in their environment? (Hint: Think of something that will limit the growth of the deer population.) Page | 101 In the tundra, where both reindeer and wolves live, the number of reindeer in a herd does not exceed the carrying capacity of the environment. In 1944, the United States Coast Guard transported 29 reindeer to St. Matthew Island in the Bering Strait. St. Matthew Island has the typical climate for tundra, but no wolves live there. The graph shown in Figure 2 represents the growth curve for the reindeer population there. 12. What is the increase in the reindeer population increase between 1945 and 1963? 13. What is the decrease in the reindeer population decrease between 1963 and 1966? 14. Did the reindeer exceed the carrying capacity of their environment? Explain your answer 15. Why do you think the population increased so rapidly in less than 20 years? 16. Why do you think that the population declined so rapidly, from 6000 to 42, in 3 years? 17. What do you think would have happened if wolves had been brought to the island with the reindeer Page | 102 Group Behavior Within populations, animals can exhibit group behaviors. Examples of behaviors include herding, flocking, colonies, hunting, migrating, kin altruism, reciprocity, swarming, territoriality, migrating, schooling, shoaling, and swarming. All of these behaviors benefit the group in survival and reproduction. You will work with your classmates to analyze a particular behavior and put together one or two Google Presentation slides to teach the rest of the class about your behavior. You will need to conduct independent research to determine how the behavior increases the chances of the population’s survival and reproductive capacity. Your Google Presentation slide will need to include the following: Title of your group behavior Definition of your behavior At least two examples of the behavior in different species Choose images that represent these examples Explanations of how the behavior benefits the population in survival and reproduction. As a class, you will all be working off of the same Google Presentation. So, it is extremely important that you do not interfere with another group’s slide during this process. Page | 103 Type of behavior Page | 104 Claim: Why do individuals take part in these behaviors? Evidence/ Examples: To support your claim Type of behavior Claim: Why do individuals take part in these behaviors? Evidence/ Examples: To support your claim Page | 105 Central Dogma of Molecular Biology Genes and Social Behavior in a Population How Do Genes Work? Genes are often called the blueprint for life, because they tell each of your cells what to do and when to do it: be a muscle, make bone, carry nerve signals, and so on. And how do genes orchestrate all this? They make proteins. In fact, each gene is really just a recipe for a making a certain protein. And why are proteins important? Well, for starters, you are made of proteins. 50% of the dry weight of a cell is protein of one form or another. Meanwhile, proteins also do all of the heavy lifting in your body: digestion, circulation, immunity, communication between cells, motion-all are made possible by one or more of the estimated 100,000 different proteins that your body makes. But the genes in your DNA don't make protein directly. Instead, special proteins called enzymes uses the DNA as a template to build a single-stranded molecule of RNA. This RNA leaves the nucleus and travels out into the cytoplasm of the cell. There, protein factories called ribosomes read the mRNA code and use it to make the protein specified in the DNA recipe. If all this sounds confusing, just remember: DNA is used to make RNA, then RNA is used to make proteins-and proteins run the show. Page | 106 Common Core Practice: Use the information from the reading and the diagram on the opposite page to explain the genetic basis for behavior. In other words, how do genes influence social behavior in a population? Page | 107 r and K reproductive strategies Organisms that live in stable environments tend to make few, "expensive" offspring. Organisms that live in unstable environments tend to make many, "cheap" offspring. Imagine that you are one of the many invertebrate organisms which existed during the Cambrian or one of their descendents living today. Maybe you live in a tide pool which is washed by waves. A storm appears on the horizon. The waves increase in height. You feel yourself being dashed upon the rocks or into the mouth of a much larger and predatory animal. Finally, you begin to see your brothers and sisters die, one by one, as the forces of nature change your unpredictable environment. If you could design a "strategy" to overcome the problems created by an unpredictable environment, you would have two choices - go with the flow or cut and run to a more stable environment. Suppose you stayed. Then, one thing you could do would be to increase the number of offspring. Make lots of cheap (requiring little energy investment) offspring instead of a few expensive, complicated ones (requiring a lot of energy investment). If you lose a lot of offspring to the unpredictable forces of nature, you still have some left to live to reproductive age and pass on your genes to future generations. Many invertebrates follow this strategy - lots of eggs are produced and larvae are formed but only a few survive to produce mature, reproductive adults. Many insects and spiders also follow this strategy. Alternatively, you could adapt to a more stable environment. If you could do that, you would find that it would be worthwhile to make fewer, more expensive offspring. These offspring would have all the bells and whistles necessary to ensure a comfortable, maximally productive life. Since the environment is relatively stable, your risk of losing offspring to random environmental factors is small. Large animals, such as ourselves, follow this strategy. Plants are also subject to the same sorts of forces as animals. Some live in unstable environments such as a floodplain near a river or a gap in the forest caused by falling trees. Others live in a quite stable environment, such as a climax forest. Page | 108 The two evolutionary "strategies" are termed r-selection, for those species that produce many "cheap" offspring and live in unstable environments and K-selection for those species that produce few "expensive" offspring and live in stable environments. Of course, the animal or plant is not thinking: "How do I change my characteristics?" Natural selection is the force for change, not the individual's conscious decision. But, natural selection has produced a gradation of strategies, with extreme r-selection at one end of the spectrum and extreme K-selection at the other end. The following table compares some characteristics of organisms which are extreme r or K strategists: r K Unstable environment, density independent Stable environment, density dependent interactions small size of organism large size of organism energy used to make each individual is low energy used to make each individual is high many offspring are produced few offspring are produced late maturity, often after a prolonged period of early maturity parental care short life expectancy long life expectancy individuals can reproduce more than once in their each individual reproduces only once lifetime type III survivorship pattern type I or II survivorship pattern in which most of the individuals die within a in which most individuals live to near the maximum short time life span but a few live much longer Page | 109 The terms "r-selected" and "K-selected" come from a description of the population growth regimes of the two types of organisms. If you are in an unstable environment, you are unlikely to ever have population growth to the point where density dependent factors come into play. The population is still at low values relative to the carrying capacity of the environment and thus is growing exponentially with intrinsic reproductive rate r (when it is not subject to environmental perturbations.), hence the name r-strategist. An extreme K-strategist lives in a stable environment which is not seriously affected by sudden, unpredictable effects. Thus the population of a K-strategist is near the carrying capacity K. Page | 110 Surviorship curves give us additional insight into r and K-selected strategies. Notice that the vertical axis of the survivorship plots is on a log scale and that horizontal axis is scaled to the maximum lifetime for each species. One of the interesting differences between r and K strategists is in the shape of the survivorship curve. We can generate a survivorship curve by ploting the log of the fraction of organisms surviving vs. the age of the organism. To compare different species, we normalize the age axis by stretching or shrinking the curve in the horizontal direction so that all curves end at the same point, the maximum life span for individuals of that species. Notice that the vertical axis is on a log scale, dropping from 1.0 (100%) to 0.1 (10%) to 0.01 (1%) to 0.001 (0.1%) in equally spaced intervals. Extreme r-strategists, such as the oyster, lose most of the individuals very quickly, relative to the maximum life span for the species. But, a very few individuals do survive much longer than the rest. But, for extreme K-strategists, such as man, most individuals live to old age (again relative to the maximum life span for the species). These survivorship data are very valuable when studying the ecology of various organisms. Two components are involved in reproduction: 1) How many females survive to each age and 2) the average number of female offspring produced by females at each age. By using these data, we can compute the intrinsic rate of reproduction, r, a key parameter in models of population growth. Page | 111 Population Study Guide 1. According to the predator-prey graph to the left, which line represents the predator? Predator-Prey Relationship Cottontale vs. Red Fox 1600 1400 1200 Which line represents the prey? Population 1000 Series1 800 Series2 How do you know? 600 400 200 0 5/7/1990 9/19/1991 1/31/1993 6/15/1994 10/28/1995 3/11/1997 7/24/1998 12/6/1999 Dates 2. According to the graph, the prey population decreases when the predator population does what? 3. What is a habitat? 4. In the following blank squares, draw what a clumped, uniform, random dispersion pattern looks like. Clumped 5. What determines dispersion patterns? Random Dispersed 6. Wildflowers tend to have a random dispersion pattern. Infer why this may be the case. Page | 112 7. In the blank graphs below, sketch what an exponential growth model and a logistical growth model look like. For the logistical growth model, label carrying capacity (k). To the right of the graphs in the box, jot down some notes or information about the characteristics of each of the growth models. Exponential Growth Model Logistical Growth Model 8. Define carrying capacity. Then, give examples of how carrying capacity can be lowered or increased. 9. Contrast the reproductive strategy of an r-strategist with a k-strategist. Page | 113 10. What is the difference between immigration and emigration? 11. Define the terms below in your own words: a. Population – b. Community – c. Ecosystem – 12. Suppose that you capture 10 individuals of a rare subspecies of brook trout from an impounded watershed. You place a pit tag (a very small radio activated tag) in the body cavity of each individual and then release these fish. You come back a month later and capture 20 fish and find that four of these are individuals that you had previously captured and released. Calculate the population size, N. Show all of your work! 13. Suppose that a naturalist determines that there are 500 deer in a rectangular forest that is 5 miles wide and 10 miles long. What will the density of the deer be per square mile? Page | 114 Common Core Practice: Analyzing a text ESLAF DAM BREAKS Heavy rains over the western portion of the state caused the Eslaf Dam to burst last night. The dam ruptured at 6 p.m. Pacific Time. As a result, water from the Eslaf River overflowed its banks and flooded a huge area of the state. Farmers reported many of their crops were ruined because of water standing in the fields. Others reported large amounts of topsoil being carried away by the rushing waters. Some forest areas were also flooded, causing some animals to seek safer, high ground. People in the flood area are warned not to drink the water without first boiling it. Boiling will kill the microbes and remove unsafe pollutants. Flood damage is estimated in the millions of dollars. Luckily, no loss of human life has been reported. Answer the following questions about the article: 1. According to the newspaper article, is soil being lost or gained? ___________________ What statement of evidence from the article do you have to support this claim? (Use a direct quote from the article.) 2. According to the newspaper article, is food supply being reduced or is it increasing? ____________________________________ What statement of evidence do you have to support this claim? 3. Is the drinking water safe? ____________________ What statement of evidence from the article do you have to support this claim? 4. Are habitats increasing or decreasing? _____________________ What statement of evidence from the article do you have to support your claim? 5. Define “limiting factors”. 6. What factors could limit the size of populations of animals and plants in this area and why? Page | 115 Use the graph below to answer the following questions: 7. Which curve(s) show the effect of a density dependent factor? 8. Which curve(s) show the effect of a density independent factor? 9. Which curve(s) show a likely r-strategist’s growth curve? 10. Which curve(s) show a likely k-strategist’s growth curve? 11. What is the carrying capacity of organism B? 12. What is the carrying capacity of organism C? (draw a trend line for the data on the graph) Page | 116 13. Draw two trend lines (one for each type of paramecia. Use two different colored lines.) 14. Calculate the highest growth rate for each paramecium based on your trend line. 15. Label the “lag phase” and “exponential phase”. Explain these phases and use evidence from the graph to support your explanation. 16. Predict why these two organisms have different carrying capacities. Page | 117 17. Bluestripe snapper often swim together in large groups going in the same direction. This is called “schooling”. Write a paragraph below that answers the following questions: a. How does the population benefit from schooling? b. How does the individual benefit from schooling? c. Explain how the behavior (schooling) is connected to the genetics of bluestripe snapper. Include the terms protein, DNA, RNA, and gene in your explanation. Page | 118 Ecosystem Interactions and Energy Unit Study Guide Part 1: Review – here is a checklist of topics… Complete each of the following tasks to help yourself prepare for the upcoming test. Can you explain the factors affecting biodiversity and populations in ecosystems? What is the role of group behavior on individual and species’ chances to survive and reproduce? Can you determine how matter flows through the ecosystem? Do you know the law of conservation of matter and what it means? Can you explain the factors that affect carrying capacity? Go back to your Cornell notes for this unit. Cover the right side of the page and attempt to answer the questions on the left side. Review any areas where you struggled or needed to look at your notes for information. How is your writing? Can you support your ideas and claims with evidence from reading material, diagram, research, and observations? Page | 119 Ecosystem Interactions and Energy Unit Concept Map (see reference page 14 for directions) Page | 120 Ecosystem Unit Parent/ Significant Adult Review Page Name Student Portion Period Unit Summary (write a summary of the past unit using 5-7 sentences. Use your concept map to guide your writing): What is your favorite assignment in this unit and why: Adult Portion Dear Parent/ Significant Adult: This Interactive Notebook represents your student’s learning to date and should contain the work your student has completed. Please take some time to look at the unit your student just completed, read his/ her reflection and respond to the following Ask your child to defend why a pencil sharpener is not a living organism. Which activity did your student feel helped them learn the best? Please explain why : Parent/ Significant Adult Signature: Page | 121
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