Lesson 12 Flashcards
- The checking if the location of the points tends to cluster together, whether they’re more uniformly distributed or arranged randomly
- It provides fundamental clues about the underlying spatial processes and relationships
Point Pattern Analysis
If the point pattern is identified as nonrandom, it can be further classified as more clustered than random or more
dispersed than random. (T or F)
True real omsim
Results from a contagion process where one location attracts a number of points. Points are close to one another and there are large patches that does not contain any points.
Clustered Point Pattern
Commonly results from some form of competition in space, where points repel one another. The dispersed patterns are seemingly regular over space; hence, it is called uniform.
Uniform Point Pattern / Dispersed Point Pattern
Happens when points repel one another
Negative Autocorrelation
Generated by an independent random process, wherein every location (or small area) of a study area has an equal probability of receiving an event or point, and for which the location of an event is independent of the location of all other events. In other words, the underlying generating process has no spatial logic.
Random Point Pattern
Often engaged in examining departures from complete spatial randomness.
Point Pattern Analysis
The distribution of points throughout a given study region follows a homogenous Poisson process
Complete Spatial Randomness (CSR)
Properties of CSR
- Each event has an equal probability of occurring at any position in the study region
- The position of any event is independent of the position of any other.
CSR Challenge: When examining absolute location, this is the variation of the observations’ density across a study area (no equal probability).
First-order property of pattern
CSR Challenge: When exploring interactions between locations, this is the observations’ influence on one another (no-independence).
Second-order property of pattern
Point Pattern Technique: Characterize the pattern in terms of its distribution vis-a-vis the study area (takes the first-order property).
Density Methods
Point Pattern Technique: The interest lies in how the points are distributed relative to one another (takes the second-order property)
Distance-based Methods
Density Method that measures a pattern’s overall density. Ratio of observed number of points, 𝑛 to the study region’s surface area, 𝑎
Global density
Density Method: A point pattern’s density measured at different locations within the study area
Local density