Projects for multivariate state space model: 
12 of
2
shown.



Data Cloning II
by eric.ward, last updated 2/22/09, sharing set to public
Before you begin with this code, make sure you download the latest release of OpenBUGS(now 3.0.3) and it is installed to the default directory, "C:\Program Files\OpenBUGS". We've also found that it helps to have a cleaned up registry + defregmented hard drive before using OpenBUGS. The version of R that you're using should also be noted  R 2.5.1 and 2.7.0 work great with OpenBUGS, but there was a glitch in R 2.6.0 that prevented OpenBUGS from ever running through R. When using BUGS, I think that you can obviously use WinBUGS or OpenBUGS. While both programs should yield the same result, I had much more success with OpenBUGS, particularly in terms of the program not crashing during the burnin (anyone familiar with 'trap' error messages knows what I'm talking about). There are 2 project files. The first (writeModel.r) is sourced by the second file (runDataCloning2.r). If you want to modify the bounds on parameters, you'll need to edit writeModel.r  otherwise, everything will be done behind the scenes. I've tried to predict many of the errors that might occur  for example, it doesn't make sense to have all sites belonging to the same group (m = 1) and an unconstrained covariance matrix. These files won't automate every possible MSSM that you want to fit, but they will do the majority of them. The R script files actually write the BUGS code for you, so you don't have to know any BUGS coding. You should however, be aware of the priors. Uniform priors are used on SDs and growth rates  to change these, look anywhere in the file for (~ dunif(a,b), where a and b are the limits). The code also includes the option of including an interaction matrix (multiple species) or density dependence matrix (multiple populations). The priors for all of these terms are bounded (0,1). Included are several examples of summarizing parameters, including the median, mean, and using density to estimate the mode. The actual MLEs are going to be the points associated with the best (lowest) density. 
KalmanEM
by e2holmes, last updated 10/21/09, sharing set to public
KalmanEM has been replaced by our MARSS R package. Please go to the MARSS project page (where you'll find the manual). You can download MARSS from CRAN or directly from the R GUI using "Install packages". MARSS will appear on the list of available packages.
KalmanEM.R fits mulitvariate state space models to multivariate time series data.
x(t) = B x(t1) + u + e(t), E~MVN(0,Q)
y(t) = Z x(t) + a + eta(t), eta~MVN(0,R)
What you need to use this code: Download KalmanEM.R (or scroll down to download all the files). Open R and source("KalmanEM.R"). That's it. For basic analyses, all the packages you need are included in the base R distribution.
About this code: This code is used to estimate maximum likelihood parameters for multivariate state space time series models via an EM algorithm using the Kalman filter+smoother. We assume that there are N observation time series over T years, and that there may be shared parameters (growth rates, process error, observation error) across sites. Further, the errors may be correlated between sites and the N sites may be clustered into groups. We have a number of online workshops on multivariate statespace models available with case studies and examples for estimating trends, evaluating population structure, estimating interactions, and analyzing movement data: MSSM workshop The EM algorithm is similar to that in Shumway and Stoffer (1982) but actually was actually motivated by Ghahramani and Hinton (1996). EM is a hillclimbing algorithm and many times the likelihood surface is multimodel. Use KalmanEM(...,MonteCarloInit = TRUE) to turn on searching of the initial condition space. This will deal with the vanilla multimodel problems.
Learning how to use the code: Case Studies.pdf is effectively the current manual. Scripts and data for all the case studies are in the zip file Case studies scripts.zip. The easiest way to learn this code to read case studies 1 and 2 in the Case Studies.pdf. That will walk you through four applications. I have removed Case Study 4 which is on estimation of interactions. Currently we are researching the robustness of estimating interaction terms using MARSS models when the R matrix is free (estimated). One approach is to use a fixed R matrix, but that option is not in the current code. So use caution (meaning test, test, test) if you are using the option B.constraint="unconstrained".
Project news (June 2010): MARSS 1.0, our R package has been relaased. You can download from CRAN MARSS or install directly from your R GUI using "Install packages". MARSS will appear on the list of available packages from R. The package is fully documented with help files, a user manual with welldeveloped examples, and a paper on the derivation behind the EM algorithm. MARSS 1.0 limits a bit what MARSS models you can fit, but these restrictions will be lifted with MARSS 2.0 which we are coding right now. MARSS 2.0 uses a more general EM algorithm to allow you to fit any models of the MARSS form above with fixed and shared values arbitrarily distributed throughout the matrices. See our personal websites for group news on papers and code coming out of this work: EE Holmes website, Eric Ward website, Brice Semmens website, and Mark Scheuerell website.
Projects for multivariate state space model: 
12 of
2
shown.

