Spatial Filtering and Data Confidentiality: DMAP and Monte Carlo Simulations Jason K. Blackburn, Ph.D. Monday, 7 February 2011 Spatial Epidemiology and.

Slides:

Advertisements

Similar presentations

School of Geography FACULTY OF ENVIRONMENT Point-surface interpolation.

Advertisements

Multi-Dimensional Data Interpolation Greg Beckham Nawwar.

11 Pre-conference Training MCH Epidemiology – CityMatCH Joint 2012 Annual Meeting Intermediate/Advanced Spatial Analysis Techniques for the Analysis of.

Functions Solving Equations Simplifying & Solving Variables.

Paula Gonzalez 1, Leticia Velazquez 1,2, Miguel Argaez 1,2, Carlos Castillo-Chávez 3, Eli Fenichel 4 1 Computational Science Program, University of Texas.

University of Wisconsin-Milwaukee Geographic Information Science Geography 625 Intermediate Geographic Information Science Instructor: Changshan Wu Department.

GIS and Spatial Statistics: Methods and Applications in Public Health

Lecture 19 Continuous Problems: Backus-Gilbert Theory and Radon’s Problem.

Lecture 21 Continuous Problems Fréchet Derivatives.

The Quadratic Formula by Zach Barr Simulation Online.

Optimal Bandwidth Selection for MLS Surfaces

Apparent Emissivity in the Base of a Cone Cosmin DAN, Gilbert DE MEY University of Ghent Belgium.

Introduction The use of the coordinate plane can be helpful with many real-world applications. Scenarios can be translated into equations, equations can.

Table of Contents Quadratic Equation: Solving Using the Quadratic Formula Example: Solve 2x 2 + 4x = 1. The quadratic formula is Here, a, b, and c refer.

Ch 5 Practical Point Pattern Analysis Spatial Stats & Data Analysis by Magdaléna Dohnalová.

# 1 # 2 # 3 Multiply # 4 Multiply: Multiply # 5 # 6 Solve.

Geo479/579: Geostatistics Ch13. Block Kriging. Block Estimate  Requirements An estimate of the average value of a variable within a prescribed local.

The Science of PhysicsSection 1 Preview Section 1 What Is Physics?What Is Physics? Section 2 Measurements in ExperimentsMeasurements in Experiments Section.

IWBAT SOLVE MULTISTEP EQUATIONS WITH ONE VARIABLE. 10-1: Equations with More Than One Operation.

Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,

ENEE 704 Summary Final Exam Topics. Drift-Diffusion 5 Equations, Five Unknowns. – n, p, Jn, Jp,  Solve Self-Consistently Analytical Method: – Equilibrium:

Mapping Greenhouse Gas Emissions in the Los Angeles Basin by Remote Sensing Using a Fourier Transform Spectrometer on Mt. Wilson Kam Weng (Clare) Wong.

Table of Contents Solving Exponential Equations An exponential equation is an equation with a variable as part of an exponent. The following examples will.

LOGARITHMS Mrs. Aldous, Mr. Beetz & Mr. Thauvette IB DP SL Mathematics.

Australian Journal of Basic and Applied Sciences, 5(12): , 2011 ISSN Estimation of Diffusion Coefficient in Gas Exchange Process with.

Title Author Names Author Pictures Faculty Advisor: C. Christopher Lee, PhD Lake Superior State University Spring 2014.

MEGN 537 – Probabilistic Biomechanics Ch.7 – First Order Reliability Methods Anthony J Petrella, PhD.

Table of Contents Solving Linear Systems of Equations - Dependent Systems The goal in solving a linear system of equations is to find the values of the.

You already know how to solve equations like these:

Assimilation of HF Radar Data into Coastal Wave Models NERC-funded PhD work also supervised by Clive W Anderson (University of Sheffield) Judith Wolf (Proudman.

Overview of Techniques for Deriving Emission Inventories from Satellite Observations Frascati, November 2009 Bas Mijling Ronald van der A.

ECE 8443 – Pattern Recognition LECTURE 07: MAXIMUM LIKELIHOOD AND BAYESIAN ESTIMATION Objectives: Class-Conditional Density The Multivariate Case General.

Investigation of the Hald model as a method to improve foodborne illness source attribution estimates Antonio Vieira, DVM, MPH, PhD Enteric Diseases Epidemiology.

Physics. What is physics anyway? Physics is a branch of science that involves the study of the physical world: energy, matter, and how they are related.

Departments in Business Business Name 1 Business Name 2.

Today we will solve equations with two variables. Solve = figure out.

UNIT 1 SCIENCE SKILLS Vocabulary. TECHNOLOGY  The application of science to the real world.

A Comparison of Zonal Smoothing Techniques Prof. Chris Brunsdon Dept. of Geography University of Leicester

INFORMATION ON CHEMICALS. 1.LAWS AND REGULATIONS a. Toxic Substances Control Act- Authorizes EPA to require evaluation and registration of manufactured.

Materials and Methods GIS Development A GIS was constructed from historical records of known villages reporting human anthrax between the years 1937 and.

Slide Copyright © 2012 Pearson Education, Inc.

More on Logarithmic Functions 9.6

Methods for point patterns. Methods consider first-order effects (e.g., changes in mean values [intensity] over space) or second-order effects (e.g.,

Interpolation and evaluation of probable Maximum Precipitation (PMP) patterns using different methods by: tarun gill.

A Spatial-Temporal Model for Identifying Dynamic Patterns of Epidemic Diffusion Tzai-Hung Wen Associate Professor Department of Geography,

Writing an Outbreak Report Dr Noorhaida Ujang Epid Officer Muar Alor Setar,

The Mathematics of Biostatistics Chapter 6 and 7 Copyright Kaplan University 2009.

Chapter 3 Percentiles. Standard Scores A standard score is a score derived from raw data and has a known basis for comparison. A standard score is a score.

The Science of Physics Mathematics. What We Want to Know… How do tables and graphs help understand data? How can we use graphs to understand the relationship.

COMPASS Algebra Practice Test 9 This practice test is 10 items long. Record your responses on a sheet of paper. The correct answers are on the slide after.

Muon-induced neutron background at Boulby mine Vitaly A. Kudryavtsev University of Sheffield UKDMC meeting, ICSTM, London, 27 June 2002.

Chapter 9 Sampling Distributions 9.1 Sampling Distributions.

Numerical Analysis Yu Jieun.

Acknowledgments: The study is funded by the Deep-C consortium and a grant from BOEM. Model experiments were performed at the Navy DoD HPC, NRL SSC and.

1 Solving Problems with Methods Questions. 2 Problem solving is a process similar to working your way through a maze. But what are these “steps” and what.

1 Attenuation Modeling for Antarctica By Amir Javaid University of Delaware.

Understanding Epidemiology

Introduction to epidemiological methods in research (methodology)

Table of Contents Section 1 Laws of Motion Section 2 Gravity

Green’s Function Monte Carlo Fall 2013

Quantifying Scale and Pattern Lecture 7 February 15, 2005

While Japan supports this idea basically,

Affiliations (Section, Department, Schools), University of Chicago

TOPIC: (insert here) INSERT STUDENT NAMES HERE.

Interpolating Surfaces

Functions Solving Equations Simplifying & Solving Variables on Both

Affiliations (Section, Department, Schools), University of Chicago

COMPASS Practice Test 16.

Presentation transcript:

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

© Jason K. Blackburn, PhD Spatial Epidemiology and Ecology Research Laboratory (SEER LAB) Department of Geography, University of Florida This presentation is the © of Jason K. Blackburn all materials by others are used by permission of the original authors (or properly sited and acknowledged). These materials are strictly for the use of students in Geography 6938, UF. Any reproduction is prohibited without direct written consent of the author.

What is spatial filtering? 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)

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)

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 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: Taken from Chang (2008; Ch 16)

Chang (2008) ch 16 This table represents z i z0z0 d i = The distance between z i and z 0