### Spatially-varying stochastic differential equations,

### with application to the biological sciences

Tuesday, July 7 2015

**Radu Herbei**

- Introduction to Stochastic Differential Equations;
- Statistical Inference for Stochastic Differential Equations;

Wednesday, July 8 2015

**Peter Craigmile**

- Time Series Modeling with applications to SDEs and the biological sciences;
- Some interesting topics in time series;
- R code, Mumps data set, Heart rate data set

**Veronica Berrocal**

- Geostatistical and hierarchical modeling of spatial data;
- Assessing exceedance of ozone standards: space-time modeling of fourth highest ozone concentrations;
- Classical geostatistical analysis in R, Fitting an Bayesian hierarchical model to univariate spatial data using the spBayes R package.

Thursday, July 9 2015

**Chris Wikle**

- An Introduction to Dynamical Spatio-Temporal Models (DSTMs);
- Modern perspectives on statistics for spatio-temporal data. ;

**Finn Lindgren**

- Stochastic PDEs and Markov random fields with ecological applications;
- R code;

Friday, July 10 2015

**Laura Kubatko**

- Diffusion Models in Population Genetics;

** Catherine Calder**

- Nonstationary Spatial Modeling;

**Murali Haran**

- An Introduction to Computer Model Emulation and Calibration;

**Student presentations**

- SDE for Phylogenetics;
- Spatial Clustering of Aedes Aegypti in Coastal Ecuador;
- Covariate Selection and a Hierarchical Bayesian Model Detecting Outbreaks for Biosurveilance System;

**The projects**

Group 1 (Bernstein, Hefley, Manlove, Safikhani, Wang, Yang) Kubatko and Herbei: Modeling Biological Trait Evolution Across Species, Anolis size, Anolis tree, Butler and King, Appendix to Butler and King

Group 2 (Ganguly, Keshavarz, Pereira, Shand, Woroszylo, Zhou) Berrocal: Spatial clustering of Aedes aegypti in coastal Ecuador

Group 3 (Lila, Ma, Russell, Yamazaki, Yoon, Zimmerman) Craigmile: Biosurveillance: modeling and prediction of disease outbreaks using time series, Craigmile et al., 2007, Google flu R file, Google flu data.

**Results from the questionnaire**

18 responses -- the scale is from 1 (disagree) to 5 (agree).

Question | 1 | 2 | 3 | 4 | 5 |

"This workshop was useful for my research" | 5 | 13 | |||

"There was a suitable range of topics" | 3 | 15 | |||

"The level of material was appropriate" | 1 | 11 | 6 | ||

"I interacted with other workshop attendees" | 1 | 4 | 13 | ||

"The project was a useful part of the workshop" | 3 | 8 | 3 | 4 | |

"I would recommend this workshop to my colleagues" | 4 | 14 |