CE 547 – GIS in Water Resources Engineering

University of New Mexico – Spring 2016

Vanessa Garayburu

 
Assignment 3: Projections

a)   Mapping the world

For this exercise we were asked to project the world using different projections and to choose one. I chose the Winkel Tripel projection, because it had a common visual representation of the world. This projection became popular after 1998 when the National Geographic adopted it as the standard world projection.

Projection method

According to the ArcGIS help, the projection method is based on modified azimuthal, where the coordinates are the average of the Aitoff and equirectangular projections. Meridians are equally spaced and concave toward the central meridian. The central meridian is a straight line. Parallels are equally spaced curves, concave toward the poles. The poles are approximately 0.4 times the length of the equator. The length of the poles depends on the standard parallel chosen.

Projection parameters

Projection: Winkel_Tripel

False_Easting: 0.0

False_Northing: 0.0

Central_Meridian: 0.0

Standard_Parallel_1: 50.467

Linear Unit: Meter (1.0)

 

Figure 1. Shows the World Map on Winkel Tripel Projection

 

 

 

b)  Mapping the United States

This exercise consisted in organizing, categorizing and displaying U.S. cities based on population in 1990. Practicing calculating distances using the projected and the non-projected version of the map as well as answering some key questions related to population and elevation. In the table of attributes, the -99 values for elevation belong to a code that represents missing data.

 

                     i.        Determine the approximate latitude and longitude of three cities

·  Baton Rouge, LA: -91.123, 30.447 Decimal Degrees

·  Madison, WI : -89.51, 43.083 Decimal Degrees

·  Frankfort, KY : -84.853, 38.278 Decimal Degrees

 

                    ii.        What is the distance between Augusta and Olympia in miles if the view is not projected?

                2,530.4 miles

                   iii.        What is the distance between Augusta and Olympia in miles if the view is projected into Albers Equal Area?

                 2,547.8 miles

                  iv.        What are the same distances in kilometers?

                Not projected 4,072.3 km and Albers Equal Area is 4,100.3 km

                   v.        Which capital city is the most populous?

                Phoenix, AZ with 983,403 people

                  vi.        Which capital city is the least populous?

                Montpelier, VT with 8,247 people

                 vii.        Which capital city has the highest elevation?

                Santa Fe, NM at 6989 feet above sea level

 

 

Figure 2. Illustrates how to measure the distance between two cities in ArcGIS  

 

Figure 3. Represents contiguous U.S. capitals cities arranged by 1990 population projected on Albers Equal Area Conic

Projection method

Conic. The meridians are equally spaced straight lines converging to a common point. Poles are represented as arcs rather than as single points. Parallels are unequally spaced concentric circles whose spacing decreases toward the poles.

Projection parameters

Projection: Albers

False_Easting: 0.0

False_Northing: 0.0

Central_Meridian: -96.0

Standard_Parallel_1: 29.5

Standard_Parallel_2: 45.5

Latitude_Of_Origin: 37.5

Linear Unit: Meter (1.0)

 

c)   Mapping New Mexico

 

This exercise consisted on extracting NM from the U.S. map as a shape file and exporting it to Albers projection. Then re-introducing it in a new data frame and changing its central meridian to -106.  

 

Figure 4. Shows the state of New Mexico projected on Albers Equal Area Conic

Projection parameters

Projection: Albers

False_Easting: 0.0

False_Northing: 0.0

Central_Meridian: -106.0

Standard_Parallel_1: 29.5

Standard_Parallel_2: 45.5

Latitude_Of_Origin: 37.5

Linear Unit: Meter (1.0)

 

 

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