Migration A study found that the way people living in one type of neighborhood migrate to another could be described by a Markov chain. The study classified housing into five types:
I. Middle-class family households;
II. Upper-middle-class households;
III. Sound, rented, two-family dwelling units;
IV. Unsound, rented, multi-family dwelling units; and
V. Commercial.
The transition matrix for a 1-year period, based on data from Cedar Rapids, Iowa, is given below.
Suppose that in some year,. 20% of the population lives in each type of housing. Determine the percent of the population that can be expected in each type of housing after the following times. Source: Annals of the Association of American Geographers.
(a) 1 year (b) 2 years
(c) Write the transition matrix for a 2-year period.
Based on your answer to part (c), what percent of those living in a commercial area can be expected to be living in each of the following types of housing after 2 years?
(d) Middle-class family households
(e) Unsound, rented, multi-family dwelling units.
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Finite Mathematics (11th Edition)
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning