Methodology

The following section outlines the methods use to produce the maps and results that will be presented in the 'results' section.
In this context GIS refers to ArcGIS, the program used to produce the maps.

Controlling Parameters

Initially the factors controlling the spread of the Mountain Pine Beetle (MPB) infestation had to be determined. This was entirely based on previous studies, mainly the study of Carroll et. al. (2006). The following climatic parameters were used to determine areas deemed suitable for the MPB.
                 PC1. Minimum coldest month temperature higher than -40ºC
                 PC2. Minimum 833 degree-days above 5ºC
                 PC3. Average maximum August temperature above 18.3ºC
                 PC4. Total spring precipitation lower than long term average.

The above criteria PC1, PC2, PC3 and PC4 are either true or false and were combined to estimate the areas suitable for MPB as follows:

                    PC: PC1 ∧ PC2 ∧ PC3 ∧ PC4 = 1. [1]
PC is true (suitable, = 1) if, and only if, PC1, PC2, PC3 and PC4 are all true, and is false (unsuitable, = 0) otherwise (Carrol et al., 2006: 2).

Forest parameters:
                    PF1: Species (Lodgepole pine)
                    PF2: Age (80-160 years)

                           PF: PF1 ∧ PF2 = 1. [2]

[1] and [2] are then combined to determine the area suitable for MPB, i.e. climate and forest conditions both fit the MPB:
                    S: PS PF = 1. [3]

That is, S is true (the area is suitable, = 1) if, and only if, PS is true, (PC1, PC2, PC3 and PC4 are all true), and PF is true (PF1 and PF2 are both true) and false otherwise (i.e. the area is unsuitable for MPB, = 0).

 

GIS method

Study area

In order to limit the amounts of data as well as the calculation time, a smaller part of BC was chosen as our study area. It was decided to extend from 900000E-1350000E and 1150000N-1450000N in the BC Albers Projection. This area was chosen due to its location at the northernmost outskirts of the MPB range, as well as its relatively high frequency of susceptible, but not yet infested trees as well as some areas already infested.
Practically, the layers were limited to the study area by setting the processing extend to the coordinates mentioned above in geoprocessing environments.
See map of study area.

 

Forest data


Raster data with forest age and leading species was downloaded from HectaresBC as ASCII-files. The ASCII-files were converted into raster-files in ESRI ArcGIS (GIS) 10 using the ‘from ASCII to Raster’ conversion tool.

Using the ‘define projection’ tool, the raster layer was then assigned a spatial reference, 1983 NAD CSRS BC Environment Albers.

    After converting the files to raster new values were assigned to the cells with the reclassify’ tool. The cells with trees in the susceptible age class (80-160 years old) in the forest age layer was assigned the value 1 and likewise were the cells with Lodgepole pine as the leading species in the leading species layer. All other cells were assigned the value 0.
    Using the ’raster calculation’ tool, the two reclassed layers were multiplied to create a new layer were cells with the value 1 contain trees in the susceptible age and species. The rest of cells with the value 0 were discarded off.

Flowchart, Forest


Climate data


The ClimateBC software was downloaded from Climate BC. To generate data to fit the ClimateBC multiple location format, a DEM (1x1 km cells) was reprojected to the CSRS BC Environment Albers projection (define projection) and multiplied by 1 (raster calculator) to limit it to the study area.

    Secondly, the DEM containing the study area was converted into a point file and reprojected to decimal degrees in NAD1983 using the ’feature project’ tool in the ’data management toolbox’.

    Two float-fields with the header x and y, respectively, were added in the attribute table of the new DEM point layer. The x- and y-values were calculated in these new fields using the ’calculate geometry’ tool. The attribute table was exported as a dBASE-file (.dbf), opened in Microsoft Office Excel, formatted to the ClimateBC standard and saved as a comma delimited file (.csv). The necessary climate data was then extracted with the ClimateBC software using the ’multiple location’ function.

    To create raster layers from the climate data it was imported back into GIS as X, Y coordinates (decimal degrees) in NAD1983 with the climate parameter of interest as z-value. This was performed by right-clicking on the climate data table in ArcCatalog and choosing ’create feature class from X,Y table’. These layers were then reprojected back to CSRS BC Environment Albers projection and converted from a point layer to a raster layer using ‘feature to raster’ tool. As the climate data field is imported in double format we need to multiply it by 10 and use the ’int([layer])’ function in the raster calculator to turn it into integer data and create an attribute table.

Finally, these layers were reclassified so all cells with the appropriate climate conditions are assigned the value 1 and all other cells were assigned the value 0 (see equation 1).

Flowchart, Climate Data

 

Susceptible habitats

To determine the areas susceptible to a MPB infestation our two layers (climate and forest) were multiplied so all cells with the value 1 in the resulting layer meets all the criteria specified, i.e. equation 3 is true: equals 1.