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Table III

Discriminant analysis of tree diameter, crown condition and stand density on probability of tree death among five tree species. For each analysis statistics for independent factors are followed by statistics for the 1st canonical root and the percentage of correctly classified trees. Significant factors and their combinations are highlighted with bold font.

Wilks’ Lambda F-value df effect Df error P
Alder
Intercept 0.796 180.920 1 706 < 10−5
Crown Class 0.991 6.749 1 706 0.010
DBH 1.000 0.273 1 706 0.602
Crown shading 0.968 11.700 2 706 < 10− 4
Crown C. × Crown shading 0.999 0.494 1 706 0.483
Crown C. × DBH 0.997 1.062 2 706 0.346
DBH × Crown shading 0.994 1.984 2 706 0.138
Χ2 = 33.088, Wilks’ L. = 0.945, p < 10− 4, correct class. 2.87% (dead) and 99.80% (living)

Ash
Intercept 0.779 211.298 1 745 < 10−5
Crown Class 0.993 5.288 1 745 0.022
DBH 0.990 7.154 1 745 0.008
Crown shading 0.996 1.347 2 745 0.261
Crown C. × Crown shading 0.999 0.394 1 745 0.531
Crown C. × DBH 0.999 0.486 2 745 0.615
DBH × Crown shading 0.986 5.101 2 745 0.006
Χ2 = 33.088, Wilks’ L. = 0.957, p < 10− 3, correct class. 11.11% (dead) and 97.49% (living)

Birch
Intercept 0.661 281.060 1 547 < 10−5
Crown Class 0.986 7.571 1 547 0.006
DBH 0.996 2.154 1 547 0.143
Crown shading 0.982 4.923 2 547 0.008
Crown C. × DBH 0.999 0.396 1 547 0.529
Crown C. × Crown shading 0.998 0.623 2 547 0.537
DBH × Crown shading 0.993 1.966 2 547 0.141
Χ2 = 37.496, Wilks’ L. = 0.934, p = 110− 4, correct class. 44.88% (dead) and 75.08% (living)

Linden
Intercept 0.908 415.379 1 4123 < 10−5
Crown Class 0.990 43.326 1 4123 < 10−5
DBH 0.999 0.777 2 4123 0.460
Crown shading 0.999 1.964 2 4123 0.140
Crown C. × DBH 1.000 0.197 2 4123 0.822
Crown C. × Crown shading 1.000 0.297 2 4123 0.743
DBH × Crown shading 0.998 1.306 4 4123 0.266
Χ2 = 96.151, Wilks’ L. = 0.977, p < 10−5, correct class. 0.00% (dead) and 100.0% (living)

Maple
Intercept 0.723 810.632 1 2136 < 10−5
Crown Class 0.987 27.572 1 2136 < 10−5
DBH 0.991 9.491 2 2136 < 10− 4
Crown shading 0.999 0.792 2 2136 0.453
Crown C. × DBH 1.000 0.296 2 2136 0.744
Crown C. × Crown shading 0.998 1.881 2 2136 0.153
DBH × Crown shading 0.999 0.391 4 2136 0.815
Χ2 = 53.770, Wilks’ L. = 0.975, p < 10− 3, correct class. 2.17% (dead) and 99.11% (living)

Oak
Intercept 0.923 124.103 1 1487 < 10−5
Crown Class 0.995 6.786 1 14487 0.009
DBH 0.947 41.308 2 14487 < 10−5
Crown shading 0.998 1.178 2 1487 0.308
Crown C. × Crown shading 0.999 0.997 2 1487 0.369
Crown C. × DBH 1.000 0.170 2 1487 0.843
DBH × Crown shading 0.990 3.689 4 1487 0.005
Χ2 = 121.307,Wilks’ L. = 0.922, p < 10−5, correct class. 7.77% (dead) and 97.49% (living)

Spruce
Intercept 0.804 266.921 1 1098 < 10−5
Crown Class 0.995 5.635 1 1098 0.018
DBH 0.995 2.589 2 1098 0.076
Crown shading 0.999 0.493 2 1098 0.611
Crown C. × Crown shading 1.000 0.203 2 1098 0.817
Crown C. × DBH 1.000 0.062 2 1098 0.940
DBH × Crown shading 0.984 4.605 4 1098 0.001
Χ2 = 68.311,Wilks’ L. = 0.940, p < 10−5, correct class. 15.76% (dead) and 93.38% (living)