Ecological Archives A022-011-A1

J. D. Miller, C. N. Skinner, H. D. Safford, E. E. Knapp, and C. M. Ramirez. 2012. Trends and causes of severity, size, and number of fires in northwestern California, USA. Ecology 22:184–203.

Appendix A. Methods used to create a 1987 prefire vegetation map and accuracy assessment results.

To develop a 1987 vegetation map we first developed three cover type maps through classification of Landsat imagery (Fig. A1). The three classifications of cover type were restricted in extent to National Forest and ecoregion boundaries. Ecoregion boundaries were used to minimize confusion between cover types. Each Landsat image was transformed to the Tasseled-Cap brightness, greenness, and wetness features to reduce the dimensionality and image noise of the Landsat data (Crist and Cicone 1984). The brightness, greenness and wetness features have been shown to be correlated to forest structure, stand age and vegetation biomass (Cohen and Spies 1992, Hansen et al. 2001). After transformation, the images were segmented into polygons delineating areas with uniform spectral characteristics using eCognition (Definiens 2007). Image segmentation has replaced traditional pixel based classification algorithms in recent years and has been shown to increase accuracies for stand level classifications by taking advantage of contextual information (Wulder et al. 2004, Meddens et al. 2008). We carried out photo interpretation of cover type categories in 3500 to 6200 randomly chosen polygons per Landsat image in areas undisturbed by fire for training and validation, depending upon size of the study area covered by each Landsat image. We used Random Forests, a variant of Classification and Regression Trees (CART), to develop the three separate classifications of cover type, one for each Landsat image (Breiman 2001, R Development Core Team 2009). Overall classification accuracies for the cover type classifications computed using validation data independent of training data ranged between 69.4 and 89.2% (Tables A1, A2, and A3).

FIG. A1. Map of the overall study area. Northwestern California Forests demarcated in light gray and outlined in black listed clockwise starting from the top left are the Six Rivers, Klamath, Shasta-Trinity, and Mendocino National Forests. Darker gray polygons represent 132 fires that occurred 1987–2008 for which fire severity was analyzed in the current study. Outlined in black are the boundaries of three cover type classifications derived from Landsat images. Classification boundaries are a result of the intersection of National Forest, ecoregion, and image boundaries.

TABLE A1. Confusion matrix of verification points for the cover type classification of Landsat image from Path 46/Row 31.

Class Name BAR CCM CCS COM COS HDW HEB SAP SHB WAT Total User's
Accuracy (%)
Barren (BAR) 234 1   1 1   8 1 11 3 260 90.0
Conifer Closed Medium/Large (CCM)   754 92 33 8 16   6 4   913 82.6
Conifer Closed Small (CCS)   50 127 4 27 22   23 5 1 259 49.0
Conifer Open Medium/Large (COM)   14 10 24 10 3   6 4   71 33.8
Conifer Open Small (COS) 2 10 24 19 90 14 4 20 44   227 39.6
Hardwood (HDW)   3 14 5 10 149 2 38 20   241 61.8
Herbaceous (HEB) 5         1 49 3 9   67 73.1
Sapling/Poles (SAPOL)   6 9 8 18 67 5 293 28   434 67.5
Shrub (SHB) 19 7 6 9 63 10 33 47 396   590 67.1
Water (WAT) 1 1               29 31 93.5
Total 261 846 282 103 227 282 101 437 521 33 3093  
Producer's Accuracy (%) 89.7 89.1 45.0 23.3 39.6 52.8 48.5 67.0 76.0 87.9   69.4

TABLE A2. Confusion matrix of verification points for the cover type classification of Landsat image from Path 45/Row 32.

Class Name BAR CCM CCS COM COS HDW HEB SAP SHB WAT Total User's
Accuracy (%)
Barren (BAR) 48           2 4 2   56 85.7
Conifer Closed Medium/Large (CCM)   436 33 17 4 12   2 1 1 506 86.2
Conifer Closed Small (CCS)   13 46   2 8   2 5   76 60.5
Conifer Open Medium/Large (COM)   8 1 31 16 2   2 2   62 50.0
Conifer Open Small (COS)   3   12 32 4   6 5   62 51.6
Hardwood (HDW)   5 15 2 8 407 4 47 27   515 79.0
Herbaceous (HEB) 2 1       4 140 3 9   159 88.1
Sapling/Poles (SAPOL)   4 4 1 12 16 1 61 13   112 54.5
Shrub (SHB) 1 7   2 21 28 2 24 219   304 72.0
Water (WAT)                   142 142 100.0
Total 51 477 99 65 95 481 149 151 283 143 1994  
Producer's Accuracy (%) 94.1 91.4 46.5 47.7 33.7 84.6 94.0 40.4 77.4 99.3   78.3

TABLE A3. Confusion matrix of verification points for the cover type classification of Landsat image from Path 45/Row 33.

Class Name BAR CCM CCS COM COS HDW HEB SAP SHB WAT Total User's
Accuracy (%)
Barren (BAR) 18 1     1       4   24 75.0
Conifer Closed Medium/Large (CCM) 1 249 9 5   5   8 3   280 88.9
Conifer Closed Small (CCS)   2 14     3   1 1   21 66.7
Conifer Open Medium/Large (COM)   1   9 2           12 75.0
Conifer Open Small (COS)       1 11 1         13 84.6
Hardwood (HDW)   2 8   1 122   15 16   164 74.4
Herbaceous (HEB) 4           83 5 12   104 79.8
Sapling/Poles (SAPOL)     1   2 11 3 111 12   140 79.3
Shrub (SHB)   1   5 4 13 8 19 949   999 95.0
Water (WAT)                   12 12 100.0
Total 23 256 32 20 21 155 94 159 997 12 1769  
Producer's Accuracy (%) 78.3 97.3 43.8 45.0 52.4 78.7 88.3 69.8 95.2 100.0   89.2

The second step in the development of the 1987 vegetation maps was to carry out a Random Forests classification of vegetation type. Biophysical variables derived from a 30m digital elevation model and climate variables from the DAYMET (http://www.daymet.org/) and PRISM (http://www.prism.oregonstate.edu/) datasets were assigned to each polygon derived in the cover type classification above (Rehfeldt et al. 2006, Evans and Cushman 2009). Vegetation type was trained using the polygons that corresponded to plot locations from the USFS Forest Inventory and Analysis (FIA) program (USDA 1992); due to the small number of FIA plots, all plots were used for training and none were withheld for accuracy assessment. Vegetation types were lumped into broad categories during the classification process based upon the ability of the Random Forests algorithm to separate types into unique classes. The vegetation type classification was applied only to areas mapped as forest (conifer or hardwood, excluding saplings and poles <25.4 cm dbh) in the cover type classification.

Plot data from the United States Department of Agriculture Forest Service (USFS) Forest Inventory and Analysis (FIA) program (USDA 1992) were used to train a classification of vegetation type. FIA protocols call for a grid sampling that results in approximately one plot per 6000 ac, but the US Forest Service, Pacific Southwest Region, Remote Sensing Lab (RSL) enhances the number of FIA plots with additional field sampling. After including RSL enhanced plots and excluding plots that had been sampled in plantations and fires that had occurred since 1987, we ended up with 750 conifer and 53 hardwood plots. Vegetation type was assigned to plots based upon tree species in each plot using CALVEG classification rules used by the RSL. We grouped the CALVEG dominance types measured in the plots into 7 types that could exhibit unique fire regime characteristics (Table A4). We did not withhold any plots for accuracy assessment due to the sparse sample of plots. Independent variables used in a Random Forests classification consisted of variables computed from a 30m digital elevation model and climate variables from the DAYMET (http://www.daymet.org/) and PRISM (http://www.prism.oregonstate.edu/) datasets (Table A5). Separate classifications were performed for conifer and hardwood life forms to minimize confusion between dominance types. Elevation was the most important factor in the classification of conifer types (Table A6). Although we did not withhold plots for a true accuracy assessment we did compute confusion matrices to get a sense for how well the classifications performed. The overall accuracies for the conifer and hardwood classifications were 71.7 and 64.2% respectively (Tables A7 and A8). The vegetation type classifications were applied only to the areas mapped as having either conifer or hardwood cover types, excluding sapling/poles, produced in the cover type classification described above.

TABLE A4. Crosswalk between forest vegetation types for the 1987 vegetation classification to CALVEG types for the FIA plots used for training of the classification.

Vegetation Type CALVEG Type
Douglas-fir Pacific Douglas-fir
Douglas-fir Redwood
Gray Pine Gray Pine
Mixed Conifer Jeffrey Pine
Mixed Conifer Knobcone Pine
Mixed Conifer Douglas-fir/Ponderosa Pine
Mixed Conifer Douglas-fir/White Fir
Mixed Conifer Incense Cedar
Mixed Conifer Mixed Conifer/Fir
Mixed Conifer Klamath Mixed Conifer
Mixed Conifer Mixed Conifer/Pine
Mixed Conifer Ultramafic Mixed Conifer
Mixed Conifer Port Orford Cedar
Mixed Conifer Ponderosa Pine/White Fir
Mixed Conifer Ponderosa Pine
Fir/High Elevation Conifer Brewer Spruce
Fir/High Elevation Conifer Red Fir
Fir/High Elevation Conifer White Fir
Fir/High Elevation Conifer Mountain Hemlock
Fir/High Elevation Conifer Subalpine Conifers
Fir/High Elevation Conifer Western White Pine
Deciduous Oak Oregon White Oak
Deciduous Oak Black Oak
Deciduous Oak Valley Oak
Live Oak Canyon Live Oak
Live Oak Tanoak (Madrone)
Live Oak Interior Live Oak
Mixed Hardwood Interior Mixed Hardwood
Mixed Hardwood California Bay
Mixed Hardwood White Alder
Mixed Hardwood Madrone
Mixed Hardwood Bigleaf Maple
Mixed Hardwood Quaking Aspen
Mixed Hardwood Montane Mixed Hardwood

TABLE A5. Independent variables used in the vegetation dominance type classification.

Acronym Definition Source/Reference
YALBERS Y-coordinate
ELEV Elevation
ASPECT Aspect
SLOPE Slope
SLOPEPOS Slope position Jenness 2006
TCI Topographic convergence index Beven and Kirby 1979
TOTALRAD Total radiation ArcMap
COASTDIST Distance to coast ArcMap
GROWDAY Number of growing days 1980–1997 Thornton et al. 1997
FFD Frost-free days 1980–1997 Thornton et al. 1997
TMAXJAN Average maximum temperature in January 1971–2000 Daly et al. 1994
TMAXJULY Average maximum temperature in July 1971–2000 Daly et al. 1994
TMINJAN Average minimum temperature in January 1971–2000 Daly et al. 1994
TMINJULY Average minimum temperature in July 1971–2000 Daly et al. 1994
ATMIN Average annual minimum temperature 1971–2000 Daly et al. 1994
ATMAX Mean annual maximum temperature 1971–2000 Daly et al. 1994
GSP Growing season precipitation, April–Sept 1971–2000 Daly et al. 1994
APRECIP Average annual precipitation 1971–2000 Daly et al. 1994

TABLE A6. Importance variables from random forests classification of vegetation type.

 Type YALBERS ELEV ASPECT SLOPE SLOPEPOS TCI COASTDIST TMAXJULY TMINJAN
Douglas-fir 0.63 1.87 0.76 1.20 0.70 1.58 1.67 1.16
Gray Pine 2.18 3.47 0.29 -0.60 -0.24 1.68 2.21 -0.27
Mixed Conifer 1.01 1.24 0.45 0.56 -0.25 0.82 0.86 0.43
Fir/High Elevation Conifer 0.30 3.53 1.40 -0.14 0.05 0.03 2.64 2.32
Deciduous Oak 1.55 2.55 0.68 0.24 2.11
Live Oak -0.79 3.90 3.64 -1.12 -0.24
Mixed Hardwood   6.47   0.72   3.75   6.01 3.20

TABLE A7. Conifer vegetation types confusion matrix.

Type Douglas-fir Fir Gray
Pine
Mixed
Conifer
Total User's
Accuracy (%)
Douglas-fir 182 10 65 257 70.8
Fir 45 19 64 70.3
Gray Pine 1 2 3 66.7
Mixed Conifer 73 37 7 309 426 72.5
Total 256 82 19 393 750
Producer's Accuracy (%) 71.1 54.9 10.5 78.6 71.7

TABLE A8. Hardwood vegetation types confusion matrix.

Type Deciduous
Oak
Live
Oak
Mixed
Hardwood
Total User's
Accuracy (%)
Deciduous Oak 15 7 2 24 62.5
Live Oak 6 16 3 25 64.0
Mixed Hardwood 1 3 4 75.0
Total 21 24 8 53
Producer's Accuracy (%) 71.4 66.7 37.5 64.2

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