Spatial Distribution Analysis: Cases for Study


1. Below is a table of four cities in the Twin Cities metropolitan area. Use a spatial distribution model to calculate the size (in people) of each city based just on their mutual attraction.

 
 Distance  1980
 Area Mpl. C.R. Mtk. Bvl. Population
 Minneapolis 55.1 5 14 9 19 370,951
 Coon Rapids 23.5 14 2 25 37 35,826
 Minnetonka 27.4 9 25 2 24 38,683
 Burnsville 24.3 19 37 24 2 35,674

2. Suppose you are a planner for the metropolitan health services board. Bloomington has asked for permission to build a 250-bed hospital, although your office estimates that there is a demand for only 100 beds. Using the information below, for hospitals in each of the cities estimate the vacancies that would be caused by the new hospital.

 
 Current Distance
 # Beds Edina Minneapolis St. Paul Bloomington
 Edina  405  2  9  17  7
 Mpls. 7054  9  5  9  10
 StPaul 2764  17  9  .5  16
 Blmng 0  7  10  16  4

3. Suppose you are working for the Metropolitan Transit Commission, and the southwest suburbs are arguing for a bus system which would link them to each other (rather than going through Minneapolis). Based on population size, how much traffic would you predict between the suburbs?

 
 Distance
 Size Mpls. Egan Shak. Eden Pr.
 Minneapolis 370,951 5.0 12.5 17.5 11.5
 Eagan  20,700 12.5 2.0 17.5 12.5
 Shakopee  9,941 17.5 17.5 2.0  7.0
 Eden Prairie  16,263 11.5 12.5 7.0 3.0

4. Suppose you are a commercial land developer, looking for a likely site for a retail shopping mall in the Twin Cities area. The major competition will be from the Nicollet Mall (in downtown Minneapolis), Southdale (in Edina), and Brookdale (in Brooklyn Center). You have two possible sites--one in Wayzata and one on the edge of downtown Minneapolis. The following table provides distances from all locations in minutes, rather than miles. The locations are measured by the floor-area of retail space (in 1,000 square feet); the impacts are the total population in the various areas (representing potential customers). Which potential location is preferable?

 
 Distance
 Size N.M. Sdl. Bdl. Wzta. Mpls. Impact
Nicollet Mall 10,000  10 20 15 30 10 370,951
Southdale  450  20 10 25 35 20 170,835
Brookdale  450  15 25 25 30 15 156,109
Alt.: Wayzata  500  30 35 30 15 30 70,298
Alt.: Mpls.  500  10 20 15 30 10 370,951

5. Suppose you are a developer who is evaluating several sites for housing. Assume that the price of land and construction are identical among all sites (in other words, location is the only variable that is of interest here). Assume, further, that homebuyers will be employed either in Minneapolis or St. Paul, and that employment for each city is focused on the downtown. Minneapolis employs 200,440 people, and St. Paul employs 136,045. You have four possible sites: Lakeville (45 mins. south of both cities), Hamel (25 mins. from Minneapolis, 40 mins. from St. Paul), Lino Lakes (40 mins. north of both cities), and Lake Elmo (25 mins. from St. Paul, 40 mins. from Minneapolis).

Which location will give you the most potential homebuyers?


 

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1996 A.J.Filipovitch
Revised 11 March 2005