Measuring aggregation of events about a mass using spatial point pattern methods

Michael O. Smith, Jackson Ball, Benjamin B. Holloway, F. Erdélyi, Gabor Szabo, Emily Stone, Jonathan Graham, J. Josh Lawrence

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We present a methodology that detects event aggregation about a mass surface using 3-dimensional study regions with a point pattern and a mass present. The Aggregation about a Mass function determines aggregation, randomness, or repulsion of events with respect to the mass surface. Our method closely resembles Ripley's K function but is modified to discern the pattern about the mass surface. We briefly state the definition and derivation of Ripley's K function and explain how the Aggregation about a Mass function is different. We develop the novel function according to the definition: the Aggregation about a Mass function times the intensity is the expected number of events within a distance h of a mass. Special consideration of edge effects is taken in order to make the function invariant to the location of the mass within the study region. Significance of aggregation or repulsion is determined using simulation envelopes. A simulation study is performed to inform researchers how the Aggregation about a Mass function performs under different types of aggregation. Finally, we apply the Aggregation about a Mass function to neuroscience as a novel analysis tool by examining the spatial pattern of neurotransmitter release sites as events about a neuron.

Original languageEnglish
Pages (from-to)76-89
Number of pages14
JournalSpatial Statistics
Volume13
DOIs
Publication statusPublished - Aug 1 2015

Fingerprint

Spatial Point Pattern
Aggregation
Agglomeration
method
measuring
Edge Effects
Neuroscience
edge effect
Neurons
Spatial Pattern
Randomness
Envelope
simulation
Neuron

Keywords

  • 3-dimensions
  • Clustering
  • Point process
  • Spatial patterns
  • Spatial statistics

ASJC Scopus subject areas

  • Computers in Earth Sciences
  • Statistics and Probability
  • Management, Monitoring, Policy and Law

Cite this

Smith, M. O., Ball, J., Holloway, B. B., Erdélyi, F., Szabo, G., Stone, E., ... Lawrence, J. J. (2015). Measuring aggregation of events about a mass using spatial point pattern methods. Spatial Statistics, 13, 76-89. https://doi.org/10.1016/j.spasta.2015.05.004

Measuring aggregation of events about a mass using spatial point pattern methods. / Smith, Michael O.; Ball, Jackson; Holloway, Benjamin B.; Erdélyi, F.; Szabo, Gabor; Stone, Emily; Graham, Jonathan; Lawrence, J. Josh.

In: Spatial Statistics, Vol. 13, 01.08.2015, p. 76-89.

Research output: Contribution to journalArticle

Smith, MO, Ball, J, Holloway, BB, Erdélyi, F, Szabo, G, Stone, E, Graham, J & Lawrence, JJ 2015, 'Measuring aggregation of events about a mass using spatial point pattern methods', Spatial Statistics, vol. 13, pp. 76-89. https://doi.org/10.1016/j.spasta.2015.05.004
Smith, Michael O. ; Ball, Jackson ; Holloway, Benjamin B. ; Erdélyi, F. ; Szabo, Gabor ; Stone, Emily ; Graham, Jonathan ; Lawrence, J. Josh. / Measuring aggregation of events about a mass using spatial point pattern methods. In: Spatial Statistics. 2015 ; Vol. 13. pp. 76-89.
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