Next, draw lines that bisect (divide the lines in half), and are perpendicular to the lines connecting the points. Note: this was done free-hand in Microsoft Paint, so not all the lines are at the center, or perfectly perpendicular. Next, lengthen or shorten all lines to make them connect. (Hint: they should all come to a single point.) This is not subjective, it should always look the same. Removing all the unnecessary lines, the final product should look like this: Once the final image is obtained, the proportions of each polygon to the whole should be calculated. This can be performed using geometry, or by printing the Thiessen polygons on graph paper and counting the number of boxing in each polygon. These percentages can calculated by dividing the area (or number of grid cells) of each polygon by the total area (or number of grid cells) Once these percentages are obtained, the annual precipitation for the entire area can be calculated by multiplying the annual precipitation of each point with its respective percentage and summed.
Next, draw lines that bisect (divide the lines in half), and are perpendicular to the lines connecting the points. Note: this was done free-hand in Microsoft Paint, so not all the lines are at the center, or perfectly perpendicular. Next, lengthen or shorten all lines to make them connect. (Hint: they should all come to a single point.) This is not subjective, it should always look the same. Removing all the unnecessary lines, the final product should look like this: Once the final image is obtained, the proportions of each polygon to the whole should be calculated. This can be performed using geometry, or by printing the Thiessen polygons on graph paper and counting the number of boxing in each polygon. These percentages can calculated by dividing the area (or number of grid cells) of each polygon by the total area (or number of grid cells) Once these percentages are obtained, the annual precipitation for the entire area can be calculated by multiplying the annual precipitation of each point with its respective percentage and summed.
interpolation_homework.v4.docx