Spatial Filtering and Data Confidentiality: DMAP and Monte Carlo Simulations Jason K. Blackburn, Ph.D. Monday, 7 February 2011 Spatial Epidemiology and Ecology Research Laboratory, Department of Geography & Emerging Pathogens Institute, University of Florida Spatial Epidemiology and Ecology Research Laboratory
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Spatial Filtering and Data Confidentiality: DMAP and Monte Carlo Simulations Jason K. Blackburn, Ph.D. Monday, 7 February 2011 Spatial Epidemiology and.
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Spatial Filtering and Data Confidentiality:
DMAP and Monte Carlo Simulations
Jason K. Blackburn, Ph.D.
Monday, 7 February 2011
Spatial Epidemiology and Ecology Research Laboratory, Department of Geography & Emerging Pathogens Institute,
University of Florida
Spatial Epidemiology and Ecology Research Laboratory
•Employs a gridded surface, a kernel (with set or adaptive bandwidth) and case data to derive spatially explicit rate estimates
•Calculates “local” rates and then employs a MC routine to compare to CSR
•Where KDE estimated “concentration”, here were employ background population to look at rates in space
Curtis and Lee (2010)
Curtis and Lee (2010)
Tiwari and Rushton
"Evaluating Patterns of a White-band Disease (WBD) Outbreak in Acropora palmata Using Spatial Analysis: A Comparison of Transect and Colony Clustering“ – Lentz, Blackburn, Curtis (In Review; PLoS ONE)
Lentz, Blackburn, Curtis (In Review; PLoS ONE)
Lentz, Blackburn, Curtis (In Review; PLoS ONE)
Lentz, Blackburn, Curtis (In Review; PLoS ONE)
Abdullayev et al. (In Preparation; IJHG)
Abdullayev et al. (In Preparation; IJHG)
Abdullayev et al. (In Preparation; IJHG)
Here we are solving for the unknown location in space. The remaining variables are described in the next slide. Note the color agreement.
FYI – This was written out in equation builder in Office 2007. If you want to try it yourself, open a new word document, then go to insert and insert an equation and have at it. It is fun and interesting to try.
While apparently daunting, the formula below is the equation we worked through on the board and via the next slide. We have to know z at known locations and the distance (d) between our unknown and our known. Remember, this is how we move from “Theory” to “Application” or use mathematics to approximate Tobler’s First Law.
The general equation for Inverse Distance Weighting: