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: PEARSON
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Question

Complete the following table for an exponentially growing human population. Round to the nearest hundredth when applicable 

This table illustrates a simple model of population growth over several years with a constant per capita growth rate. It includes the following columns: 1. **Year**: Indicates the number of years since the start of the observation. 2. **Population Size**: Represents the number of individuals in the population at the start of the year. 3. **Per Capita Growth Rate (r)**: Shows the growth rate of the population per individual. 4. **New Individuals Added in 1 Year**: Calculates the number of new individuals added to the population in one year. 5. **New Population Size at t+1**: Displays the population size at the end of the year. Data is presented for specific years: - Year 0: The initial population size is 25, with a growth rate of 0.1, resulting in 2.5 new individuals and a new population size of 27.5 at year 1. - Year 8: The population reaches 54. - Year 20: The population grows to 168. The table is missing intermediate calculations and results for most years, showing only selected data. This setup reflects how consistent growth rates can affect population dynamics over time.
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Transcribed Image Text:This table illustrates a simple model of population growth over several years with a constant per capita growth rate. It includes the following columns: 1. **Year**: Indicates the number of years since the start of the observation. 2. **Population Size**: Represents the number of individuals in the population at the start of the year. 3. **Per Capita Growth Rate (r)**: Shows the growth rate of the population per individual. 4. **New Individuals Added in 1 Year**: Calculates the number of new individuals added to the population in one year. 5. **New Population Size at t+1**: Displays the population size at the end of the year. Data is presented for specific years: - Year 0: The initial population size is 25, with a growth rate of 0.1, resulting in 2.5 new individuals and a new population size of 27.5 at year 1. - Year 8: The population reaches 54. - Year 20: The population grows to 168. The table is missing intermediate calculations and results for most years, showing only selected data. This setup reflects how consistent growth rates can affect population dynamics over time.
### Population Dynamics: Key Terms and Definitions This section provides an overview of essential terms used in the study of population dynamics. - **N** = Number of individuals present in a population - **B** = Absolute number of births in the population (in a given time interval) - **D** = Absolute number of deaths in the population (in a given time interval) - **I** = Absolute number of individuals immigrating into the population (in a given time interval) - **E** = Absolute number of individuals emigrating out of a population (in a given time interval) - **t** = Time - **Δ** (delta) = Represents finite change in numbers **Per Capita Rates:** - **b** = Number of individuals born per individual in the population per year - **d** = Number of individuals dying per individual in the population per year - **r** = Per capita growth rate = b - d **Environmental Capacity:** - **K** = Carrying capacity of a population in a given environment **Population Growth:** - **Td** = Doubling time; the time it takes for an exponentially growing population to double These definitions assist in understanding and modeling how populations change over time due to various factors such as birth rates, death rates, immigration, and emigration.
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Transcribed Image Text:### Population Dynamics: Key Terms and Definitions This section provides an overview of essential terms used in the study of population dynamics. - **N** = Number of individuals present in a population - **B** = Absolute number of births in the population (in a given time interval) - **D** = Absolute number of deaths in the population (in a given time interval) - **I** = Absolute number of individuals immigrating into the population (in a given time interval) - **E** = Absolute number of individuals emigrating out of a population (in a given time interval) - **t** = Time - **Δ** (delta) = Represents finite change in numbers **Per Capita Rates:** - **b** = Number of individuals born per individual in the population per year - **d** = Number of individuals dying per individual in the population per year - **r** = Per capita growth rate = b - d **Environmental Capacity:** - **K** = Carrying capacity of a population in a given environment **Population Growth:** - **Td** = Doubling time; the time it takes for an exponentially growing population to double These definitions assist in understanding and modeling how populations change over time due to various factors such as birth rates, death rates, immigration, and emigration.
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