My spatial problem:
Under what forest and climatic conditions do endemic mountain pine beetle populations switch to epidemic populations?
The null hypothesis is that conditions are random and alternative hypotheses include: 1) population eruptions are simply cyclic or periodic; 2) there are specific environmental condition triggers; 3) some combination of alternative hypotheses 1 and 2.
Mountain pine beetle survival is dependent on availability of susceptible hosts and suitable temperature range, with the primary limitation being minimum temperature. In an endemic state, mountain pine beetles may kill several trees in a dispersed pattern, while in an epidemic state, nearly continuous, widespread host tree mortality is observed. Population eruptions exhibit both temporal and spatial patterns over the landscape making spatial statistics a useful analysis tool.
There are two parts to the study: 1) outbreak detection and monitoring using 40 years of Landsat satellite imagery and 2) analysis of relationships between outbreak initiation and spread and forest and climate conditions
Independent variables include:
Host availability at time of outbreak:
Host density
Host age
Topography:
Elevation
Slope
Aspect
Climate at and prior to time of outbreak:
Min and max temperature for various time periods
Precipitation for various time periods
Forest structure:
Composition
Management
Disturbance history
Each of these variables could potentially be related to outbreak timing and position through geographically weighted regression.
Very interesting research! With ArcGIS 10.1 you can identify space-time hot spots, if that might be interesting to your research. You would need an analysis field, though… so maybe the proportion of trees affected (a rate) ? 10.1 also has Exploratory Regression which can help you find a properly specified model … but again, your dependent variable will need to be a count or a rate. Be sure to consider as many spatial variables as possible (distance to roads, etc.). Very best wishes with your research!
Lauren