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?


Spatial
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© 1996 A.J.Filipovitch
Revised 24 October 96