Homework 2

Spatial Analysis, Spring 2001

1. The following region has nine polygons (areas). The vital statistics for the nine areas are as follows:
   
   

   Area	Number of Pawn Shops	Total Number of Shops
   A	12	25
   B	16	24
   C	3	9
   D	7	12
   E	2	7
   F	3	4
   G	2	7
   H	6	11

   

   • Calculate the Location Quotient for donut shops in each area.
   • Draw the Lorenz curve for the distribution of donut shops.
   • What is the Gini coefficient for donut shops in this area? Are donut shops evenly distributed around the region?

   
   
   
   

2. Consider the following spatial arrangement of future pop singers, riding around in their low-rider cars with their stereos booming:
   
   
   

   

   Their spatial arrangement in the arbitrary X-Y grid that is their world is as follows:

   Name	X-pos	Y-pos
   Gretel	11.2	44
   Ana	9.3	38.1
   Dulcinea	7.3	9.4
   Helga	21.0	22.3
   Vivia	33.2	41.5
   Xena	37.2	25.4
   Buffy	44.3	39.7

   Where is the geographical center of the low-riders?
   
   
   

3. The volume of each future star was measured, and presented in the following table:

   Singer	Volume (dbs.)
   Gretel	500 db
   Ana	312 db
   Dulcinea	156 db
   Helga	200 db
   Vivia	712 db
   Xena	200 db
   Buffy	177 db

   What are the coordinates of the loudest point in their world?

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Homework 2

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