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Part II. Interpreting Model Formulations (75 pts; minimum of 0 pts) Using the basic predator and prey model that is provided with this exercise, interpret the following model elements. Make sure that the interpretation describes both the meaning of the model element and the meaning of their formulation. Except for stocks/levels and constants, provide a dimensional analysis on each element to prove that its unit is dimensionally correct. (Scoring: -5 for each incorrect interpretation/dimensional analysis; -3 if incomplete; -10 if missing) PREY CONSUMED PER PREDATOR PREDATOR BIRTH FRACTION predator birth predation deaths PREV DEATH FRACTION prey dogth 0 0 prey natural deaths Predator Proy predator death current death fraction effect of prey population on nndator haths Brey birth PREY BIRTH FRACTION 0 PREDATOR DEATH FRACTION OPTIMUM PREY POPULATION

Part II. Interpreting Model Formulations (75 pts; minimum of 0 pts) Using the basic predator and prey model that is provided with this exercise, interpret the following model elements. Make sure that the interpretation describes both the meaning of the model element and the meaning of their formulation. Except for stocks/levels and constants, provide a dimensional analysis on each element to prove that its unit is dimensionally correct. (Scoring: -5 for each incorrect interpretation/dimensional analysis; -3 if incomplete; -10 if missing) PREY CONSUMED PER PREDATOR PREDATOR BIRTH FRACTION predator birth predation deaths PREV DEATH FRACTION prey dogth 0 0 prey natural deaths Predator Proy predator death current death fraction effect of prey population on nndator haths Brey birth PREY BIRTH FRACTION 0 PREDATOR DEATH FRACTION OPTIMUM PREY POPULATION

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Part II. Interpreting Model Formulations (75 pts; minimum of 0 pts) Using the basic predator and prey model that is provided with this exercise, interpret the following model elements. Make sure that the interpretation describes both the meaning of the model element and the meaning of their formulation. Except for stocks/levels and constants, provide a dimensional analysis on each element to prove that its unit is dimensionally correct. (Scoring: -5 for each incorrect interpretation/dimensional analysis; -3 if incomplete; -10 if missing) PREY CONSUMED PREDSTA Predators Month PREDATOR FRACTION = Predators. ELEMENTS Q Predators 1 Month Predators Month Interpretation: Dimensional Analysis: predation deaths 3. PREDATOR BIRTH FRACTION= 0.05 Units: 1/Month [0,1,0.001] Interpretation: Dimensional Analysis: predator birth PRET FRACTION o 1 Month Examples: 1. Predator INTEG (predator birth-predator death, INITIAL PREDATOR POPULATION) Units: Predators Interpretation: The current number of predators present in the system. The predator population is increased by predator birth and decreased by predator death. 2. predator birth= Predator PREDATOR BIRTH FRACTION Units: Predators/Month Interpretation: The number of predators born every month. We assume that the births can be represented by the product of the population and its birth fraction. Dimensional Analysis Interpretation: Dimensional Analysis: pre = 1. INITIAL PREY POPULATION=2000 Units: Prey Interpretation: Interpretation: Dimensional Analysis: Interpretation: natural deaths Predators Month Interpretation: The relative growth rate of the predator population IF there are no deaths; the ratio between predators born and predator population for EVERY MONTH. In the base scenario, we assume that (assuming zero deaths) the population of predators grow by 5% each month. In other words, if there are 100 predators, 5 new predators would be born. Dimensional Analysis (not required): PREDATOR BIRTH FRACTION= 6. PREY BIRTH FRACTION=0.06 Units: 1/Month [0,1,0.001] Interpretation: 1 Month Interpretation: Dimensional Analysis: 3. predator death= current death fraction*Predator Units: Predators/Month 5. prey birth= Prey*PREY BIRTH FRACTION Units: Prey/Month Predator Proy 2. predation deaths Predator* PREY CONSUMED PER PREDATOR Units: Prey/Month 9. PREY DEATH FRACTION= 0.05 Units: 1/Month 7. PREY CONSUMED PER PREDATOR= 0.05 Units: Prey/(Predators * Month) [0,5,0.01] Interpretation: predator death poptos Predators born Predator population * Time 4. Prey= INTEG (prey birth-prey death, INITIAL PREY POPULATION) Units: Prey Interpretation: current 8. prey death= predation deaths+prey natural deaths. Units: Prey/Month birth BIRTH FRACTION 10. prey natural deaths= Prey*PREY DEATH FRACTION Units: Prey/Month PREDATOR DEATH FRACTION OPTIMUM PREY POPULATION. 2 3
Transcribed Image Text:Part II. Interpreting Model Formulations (75 pts; minimum of 0 pts) Using the basic predator and prey model that is provided with this exercise, interpret the following model elements. Make sure that the interpretation describes both the meaning of the model element and the meaning of their formulation. Except for stocks/levels and constants, provide a dimensional analysis on each element to prove that its unit is dimensionally correct. (Scoring: -5 for each incorrect interpretation/dimensional analysis; -3 if incomplete; -10 if missing) PREY CONSUMED PREDSTA Predators Month PREDATOR FRACTION = Predators. ELEMENTS Q Predators 1 Month Predators Month Interpretation: Dimensional Analysis: predation deaths 3. PREDATOR BIRTH FRACTION= 0.05 Units: 1/Month [0,1,0.001] Interpretation: Dimensional Analysis: predator birth PRET FRACTION o 1 Month Examples: 1. Predator INTEG (predator birth-predator death, INITIAL PREDATOR POPULATION) Units: Predators Interpretation: The current number of predators present in the system. The predator population is increased by predator birth and decreased by predator death. 2. predator birth= Predator PREDATOR BIRTH FRACTION Units: Predators/Month Interpretation: The number of predators born every month. We assume that the births can be represented by the product of the population and its birth fraction. Dimensional Analysis Interpretation: Dimensional Analysis: pre = 1. INITIAL PREY POPULATION=2000 Units: Prey Interpretation: Interpretation: Dimensional Analysis: Interpretation: natural deaths Predators Month Interpretation: The relative growth rate of the predator population IF there are no deaths; the ratio between predators born and predator population for EVERY MONTH. In the base scenario, we assume that (assuming zero deaths) the population of predators grow by 5% each month. In other words, if there are 100 predators, 5 new predators would be born. Dimensional Analysis (not required): PREDATOR BIRTH FRACTION= 6. PREY BIRTH FRACTION=0.06 Units: 1/Month [0,1,0.001] Interpretation: 1 Month Interpretation: Dimensional Analysis: 3. predator death= current death fraction*Predator Units: Predators/Month 5. prey birth= Prey*PREY BIRTH FRACTION Units: Prey/Month Predator Proy 2. predation deaths Predator* PREY CONSUMED PER PREDATOR Units: Prey/Month 9. PREY DEATH FRACTION= 0.05 Units: 1/Month 7. PREY CONSUMED PER PREDATOR= 0.05 Units: Prey/(Predators * Month) [0,5,0.01] Interpretation: predator death poptos Predators born Predator population * Time 4. Prey= INTEG (prey birth-prey death, INITIAL PREY POPULATION) Units: Prey Interpretation: current 8. prey death= predation deaths+prey natural deaths. Units: Prey/Month birth BIRTH FRACTION 10. prey natural deaths= Prey*PREY DEATH FRACTION Units: Prey/Month PREDATOR DEATH FRACTION OPTIMUM PREY POPULATION. 2 3
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