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Giant pandas are a vulnerable species famous for their consumption of large amounts of bamboo. Suppose we track them from year to year and classify the pandas into three categories: cubs, subadults, and adults. Let's say that u_t denotes the amount of subadults in year t and u_g denotes the amount of adults in year g. Assuming that cubs remain cubs for only one year - they have a mortality rate of 15% and the rest become subadults. On average, adults give birth to 0.5 new cubs each year. Approximately 25% of subadults mature to adults each year, approximately 20% of subadults die each year, and 95% of adults survive from one year to the next. We can model the change in class structure each year using the model u_t+1 = A*u_t, where u_t is a column vector. To ensure you are marked correct, please ensure you write all entries in the matrix as a column vector. Suppose we implement a Python code to project the population structure many generations into the future, given some generations, the ratio between the age structure in generation t+1 and generation t. That is, you determine u_t+1.

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Giant pandas are a vulnerable species famous for their consumption of large amounts of bamboo. Suppose we track them from year to year and classify the pandas into three categories: cubs, subadults, and adults. Let's say that u_t denotes the amount of subadults in year t and u_g denotes the amount of adults in year g. Assuming that cubs remain cubs for only one year - they have a mortality rate of 15% and the rest become subadults. On average, adults give birth to 0.5 new cubs each year. Approximately 25% of subadults mature to adults each year, approximately 20% of subadults die each year, and 95% of adults survive from one year to the next. We can model the change in class structure each year using the model u_t+1 = A*u_t, where u_t is a column vector. To ensure you are marked correct, please ensure you write all entries in the matrix as a column vector. Suppose we implement a Python code to project the population structure many generations into the future, given some generations, the ratio between the age structure in generation t+1 and generation t. That is, you determine u_t+1.
TopicAll topics
SubjectPhysics
ClassClass 11