# Stochastic Models to Qualify Stem Tapers
## 3 Results
### Stem Taper and Volume Models
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Model**} & **B** & **AB** & **RMSE** & **B** & **AB** & **RMSE** & **B** & **RMSE** & **B** & **AB** & **RMSE** & **R2** \\  & **(”s)** & **(”s)** & **(”s)** & **R2** & **(”s)** & **(”s)** & **(”s)** & **R2** & **(”s)** & **(”s)** & **(”s)** & **(”s)** & **R2** \\ \hline \multicolumn{12}{c}{**Ash**} & \multicolumn{1}{c}{**Bitch**} & \\ \hline
**1** & **-0.217** & **0.832** & **1.269** & **0.986** & **-0.059** & **0.706** & **1.057** & **0.985** & -0.382 & 1.047 & 1.747 & 0.970 \\  & **(-1.31)** & **(5.019)** & **0.763** & **-(-0.493)** & **0.530** & **0.039** & & (-2.399) & (6.560) & (10.95) & \\ \hline \multirow{2}{*}{**2**} & **-0.262** & 0.833 & 1.299 & 0.986 & 0.033 & 0.721 & 1.101 & 0.984 & 0.905 & 1.120 & 1.676 & 0.972 \\  & **(-1.58)** & (5.02) & (7.59) & (0.25) & (5.41) & (8.30) & (0.86) & (7.82) & (10.50) & (10.50) & 0.972 \\ \hline \multirow{2}{*}{**3**} & **-0.280** & 1.010 & 1.534 & 0.979 & **0.023** & **0.936** & **1.469** & **0.962** & -0.422 & 1.623 & 2.008 & 0.960 \\  & **(-1.69)** & (6.09) & (9.19) & 0.979 & **(0.25)** & **0.711** & **(1.116)** & **0.962** & -(2.64) & 0.952 & (12.57) & 0.960 \\ \hline \multirow{2}{*}{**4**} & **-0.610** & 0.952 & 1.320 & 0.984 & 0.015 & 0.728 & 1.077 & 0.985 & -0.437 & 1.167 & 1.924 & 0.963 \\  & **(-3.68)** & (5.74) & (7.96) & 0.984 & (0.12) & (5.53) & (8.18) & (-2.74) & (7.31) & (12.06) & 0.963 \\ \hline \multirow{2}{*}{**5**} & **-0.442** & 0.855 & 1.236 & 0.986 & -0.156 & 0.727 & 1.054 & 0.985 & **-0.143** & **1.025** & **1.663** & **0.972** \\  & **(-2.66)** & (5.15) & (7.45) & (7.45) & (-1.19) & (5.44) & (8.01) & (-**0.899** & **6.423** & **0.042** & **0.043** \\ \hline \multirow{2}{*}{**6**} & **-0.394** & 1.021 & 1.469 & 0.980 & 0.137 & 0.907 & 1.427 & 0.973 & **-0.112** & **1.232** & **1.918** & **0.963** \\  & **(-2.39)** & (6.16) & (0.02) & (10.0) & (6.69) & (10.80) & (0.80) & (-0.709** & **0.729** & **0.242** & **0.963** \\ \hline \multirow{2}{*}{7} & **-0.388** & 0.846 & 1.242 & 0.986 & -0.181 & 0.732 & 1.064 & 0.985 & -0.266 & 1.026 & 1.690 & 0.971 \\  & **(-2.34)** & (5.10) & (7.49) & (-1.38) & (5.56) & (8.08) & (-1.67) & (6.43) & (10.59) & 0.971 \\ \hline \multirow{2}{*}{**8**} & **-0.396** & **1.037** & **1.520** & **0.979** & 0.079 & 1.023 & 1.700 & 0.961 & -0.286 & 1.236 & 1.948 & 0.962 \\  & **(-2.39)** & **(6.25)** & **0.16** & **0.96** & (0.60) & (7.54) & (12.92) & (1.79) & (1.79) & (7.75) & (12.21) & 0.962 \\ \hline \multirow{2}{*}{**9**} & **-0.503** & 1.071 & 1.548 & 0.978 & -0.166 & 0.987 & 1.491 & 0.970 & -0.391 & 1.364 & 2.081 & 0.957 \\  & **(-3.02)** & (6.46) & (0.33) & (-1.26) & (7.50) & (11.33) & (-2.45) & (8.85) & (13.04) & (10.57) & 0.969 \\ \hline \multirow{2}{*}{**10**} & **-0.249** & **1.012** & **1.465** & **0.980** & **-0.112** & **1.015** & **1.511** & **0.970** & -0.107 & 1.196 & 1.752 & 0.969 \\  & **(-1.50)** & **(6.10)** & **0.989** & **-(0.89)** & **0.758** & **(11.48)** & (-0.67) & (7.49) & (10.98) & (9.89) & \\ \hline \multirow{2}{*}{**11**} & **-0.253** & 1.006 & 1.519 & 0.979 & 0.080 & 1.031 & 1.637 & **-0.139** & **1.151** & **1.274** & **0.969** \\  & **(-1.53)** & (6.07) & (0.16) & (7.83) & (12.4) & 0.964 & **(-0.87)** & **(7.210)** & **(0.860)** & **0.970** \\ \hline \multicolumn{12}{c}{**Black alter**} & \multicolumn{1}{c}{**White alter**} & \multicolumn{1}{c}{**Aspen**} \\ \hline
**1** & **-0.005** & **0.673** & **1.043** & **0.985** & **-0.150** & **0.688** & **0.990** & **0.983** & -0.344 & 0.846 & 1.247 & 0.986 \\  & **(-0.03)** & **(4.33)** & **(6.710)** & **(-1.20)** & **(5.48)** & **0.818** & **0.