BYU

Abstract by Konnor Petersen

Personal Infomation


Presenter's Name

Konnor Petersen

Degree Level

Undergraduate

Co-Authors

Tyler Jarvis
Jordan Spencer
Jane Cox

Abstract Infomation


Department

Mathematics

Faculty Advisor

Tyler Jarvis

Title

Prioritizing Water Interventions with Voronoi Diagramming and Gamma Distribution

Abstract

We evaluate and prioritize water interventions in water-poor countries, using survey data.  But this has a few initial drawbacks. One drawback is limited geographical data. The data include GPS coordinates for clusters of 15-20 households, but not for individuals. A large part of the model relies on how much time a community will save in travel if a new water source is placed in their community. To solve this problem, we start by creating small regions wherein the survey participants lie. Voronoi diagramming is used to break the regions into smaller areas in which each cluster of 20-30 individuals are most likely to reside. Random sampling was used to estimate household locations in order to accurately calculate the travel time improvements for the individuals in the area given a new water.