What does K function tell us about point pattern?

Authors: Shiguo Jiang*, SUNY - Albany
Topics: Spatial Analysis & Modeling, Quantitative Methods, Geographic Information Science and Systems
Keywords: K function, point pattern, simulation envelope, spatial statistics
Session Type: Paper
Day: 4/10/2020
Start / End Time: 8:00 AM / 9:15 AM
Room: Governors Square 16, Sheraton, Concourse Level
Presentation File: No File Uploaded


Statistical test based on simulation envelope of Ripley’s K function played an important role in the analysis of spatial point patterns. A commonly used approach is based on the relationship between K function and its simulation envelope: if the K function lies within the simulation envelope, the point pattern is considered as a realization from complete random process; if the K function lies above the simulation envelope for certain range, the point pattern is resulting from random point processes exhibiting clustering; if the K-function lies below the envelope for certain range, the point pattern is resulting from random point processes with spatial inhibition or regularity. Many researchers also estimated the scale of spatial interaction based on the position where the empirical function lies furthest outside the simulation envelope. However, this latter approach for interaction scale received mixed views in the literature. This paper used simulation method to test the validity of estimating interaction scale from K function and its simulation envelope.

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