APPENDIX ni: CELL LOAD EVALUATION 



The lOh load is assigned through a relationship between the load and depth. 

 The Ih and lOOh are then assigned through two separate relationships of each of 

 these loads to the lOh load derived from the first stage inventory. The necessary 

 relationships are expressed in figure 9 as cumulative distributions of the follow- 

 ing ratios: (upper) lOh load to bulk depth, (middle) Ih load to lOh, and (lower) 

 lOOh load to lOh load. For each cell in the depth array, the lOh load can be ob- 

 tained by random access of the upper distribution in figure 9. The other two loads 

 are determined in the same manner using the lOh load as a base and accessing the 

 middle and lower distributions. 



An estimate of the foliage load was made based on the dominant species compo- 

 sition of slash, foliage retention by these species, and a knowledge of the foliage 

 load relative to the sum of the Ih , lOh, and lOOh slash load. 



Dominant species composition of the slash was western larch and grand fir. Be- 

 cause larch loses its needles quickly compared to grand fir and the slash had gone 

 through one winter, it is reasonable to assume that western larch had lost all of 

 its foliage while grand fir retained its foliage. Brown (1978) found that the 

 grand fir foliage load was approximately 50 percent of the sum of the Ih, lOh, and 

 lOOh loads. Depending upon the relative amounts of western larch and grand fir, 

 the foliage load could vary from zero to 50 percent of the overall sum of the Ih, 

 lOh, and lOOh slash load. An average of 25 percent was chosen. After Ih , lOh, 

 and lOOh loads are determined for each cell, 25 percent of the sum is used to repre- 

 sent the foliage load. 



APPENDIX IV: EVALUATING bo, bi, b2 AND ba 



Evaluation of the coefficients b , b,, b^, and b_ of the multiple linear 



1 2 3 ^ 



regression equation: 



Y = b + b.X, + b^X^ + b_X_ + e 

 o 1 1 2 2 3 3 



correlation data and the mean and variance of the bulk 

 from linear fuel array transects. The location of cell 

 and X, in the cell filling model is: 



where the dependent variable, Y, is the cell being filled, and the independent 

 variables, X^ , X^, and X^ are the cells already filled. It is important to dis- 

 tinguish between the data collected from the linear transects and the requirements 

 of the cell filling algorithm. 



is obtained by using serial 

 depth distribution obtained 

 Y relative to cells X., , 



29 



