Code authors: Cavalheiro, R., Chaves, G. and Acosta, J.J. ®2025

SINGLE TRIAL ANALYSIS REPORT

Trial Information:

  • Company Code: XXXX-XXX.

  • Type: Eucalyptus pellita Clonal Trial.

  • Planted:”2018-10-10”

  • Measurement:6 years old.

  • Location: XXXX-XXXX

  • Date: “2024-10-10”

  • Genetic material supplier: XXXXX

  • Controls used in the trial: clone 6717, clone 3981, clone 5211, clone 4041 (E. pellita).


1 - Clone Performance

  • The most productive genetic material at age 6 was Clone 63, reaching a mean volume of 0.164 m³.

  • The average DBH at age 6 across all clones was 16.58 cm, and the average height was 18.83 m.

Top Performing Clones

  • The top 5 performing clones by volume are: clone 63, clone 4041, clone 3981, clone 5676, clone 5211

Survival Rate Assessment

⚠️ Clones with survival below 85%: clone 5676, clone 183

Table 1 - Summary Statistics by Clone
Clone dbh4 ht4 vol4 dbh6 ht6 vol6 Survival
63 15.76 17.43 0.094 18.54 21.42 0.164 88.5
4041 14.80 16.43 0.074 17.23 20.86 0.134 100.0
3981 15.38 14.71 0.074 17.98 18.42 0.130 92.7
5676 14.06 15.65 0.069 16.91 19.78 0.129 82.3
5211 14.43 15.11 0.067 17.16 19.51 0.126 95.8
4005 14.58 14.78 0.066 16.91 18.63 0.117 93.8
4149 14.61 14.94 0.067 16.68 18.70 0.114 94.8
183 13.70 14.38 0.062 16.12 18.48 0.111 83.3
189 14.06 14.79 0.065 16.11 18.92 0.111 85.1
186 13.51 14.20 0.060 15.81 18.64 0.109 91.7
4017 14.00 14.52 0.063 16.32 18.35 0.109 91.7
4074 14.82 14.82 0.068 16.57 17.93 0.107 93.8
4134 14.01 14.26 0.063 15.90 17.51 0.100 93.8
6717 13.66 14.71 0.060 15.49 18.06 0.100 95.8
4053 13.64 14.20 0.055 15.04 17.31 0.084 97.9

2 - Block Performance

  • The most productive block at age 6 was Block 2, reaching a mean volume of 0.13 m³.

  • The average DBH at age 6 across all blocks was 16.55 cm, and the average height was 18.77 m.

Top Performing Blocks

  • The top 3 performing blocks by volume are:
    block 2, block 4, block 1

Survival Rate Assessment

⚠️ Blocks with survival below 85%: block 5

Table 2 - Summary Statistics by Block
Block dbh4 ht4 vol4 dbh6 ht6 vol6 Survival
2 15.18 16.08 0.080 17.15 19.98 0.130 92.50
4 15.38 16.18 0.080 17.39 19.91 0.130 95.40
1 14.51 15.12 0.070 16.60 18.80 0.120 90.80
3 14.87 16.18 0.070 16.85 19.44 0.120 95.80
6 13.90 14.33 0.060 16.23 18.29 0.110 95.40
5 11.89 11.64 0.040 15.06 16.22 0.090 82.50
Total Mean 14.29 14.92 0.067 16.55 18.77 0.117 92.07

3 - Quality Control Summary

  • Perform outlier’s detection and check field measurements
  • A CSV file was generate to check the trees which presented problems.

A total of 1324 tree measurements were evaluated using predefined validation rules.

The following rules had issues:

  • ⚠️ 1 failures in rule: Number of reborn trees
  • ⚠️ 4 failures in rule: DBH is higher than previous DBH
Validation Rules Summary
Rules Total Fail
Number of reborn trees 1324 1
DBH is higher than previous DBH 1324 4
DBH at age 6 is lower than 50 cm 1324 0
Height is higher than previous height 1324 0
Height at age 6 is lower than 40 m 1324 0
Ratio between DBH and height is between 0.4 and 2.4 1324 0

4 - Measurements Plots

Hypsometric Relationship

The most productive clone at this age was Clone 63, based on volume (vol6).

For this clone:

  • DBH ranged from 7.88 cm to 24.75 cm.

  • Height ranged from 13.1 m to 25.42 m.

DBH-to-Height Ratio

The DBH-to-height ratio at age 6 ranged from 0.46 to 1.48, with a mean of 0.96.


Clone Growth Insights

  • The most uniform clone in DBH was clone 4041, with a standard deviation of 1.43 cm.

  • The most variable clone in DBH was clone 183, with a standard deviation of 3.67 cm, which may indicate genetic or environmental heterogeneity.

  • The most uniform clone in height was clone 4005, with a standard deviation of 1.13 m.

  • The most variable clone in height was clone 186, with a standard deviation of 3.06 m, which may reflect environmental sensitivity or measurement variability.


Clonal DBH Normal Distribution


5 - ANOVA

  • Review the results of the analysis of variance. The analysis of variance (ANOVA) model used in this study is defined as:

\[ \text{vol}_f = \beta_0 + \text{Block} + \text{Clone} + \text{Block:Clone} + \varepsilon \]

where:

  • \(\text{vol}_f\) is the volume at final age (the response variable),
  • \(\beta_0\) is the overall intercept or grand mean,
  • \(\text{Block}\) is the fixed effect (or random effect, depending on the model) of the experimental block,
  • \(\text{Clone}\) is the fixed effect of the genetic clone,
  • \(\text{Block:Clone}\) is the interaction effect between block and clone,
  • \(\varepsilon\) is the residual error term, assumed to be normally distributed with mean 0 and constant variance.


ANOVA Summary of Volume at Age 6

  • The factor Block was statistically significant (F = 49.99, p = <2e-16).

  • The factor Clone was statistically significant (F = 24.89, p = <2e-16).

  • The interaction Block × Clone was significant (F = 3.59, p = <2e-16).

  • Residual mean square was 0.0012, indicating a low level of unexplained variance.

ANOVA Results
Factor Df Sum Sq Mean Sq F value Pr(>F)
Block 5 0.306 0.061 49.993 0
Clone 14 0.427 0.030 24.895 0
Block:Clone 70 0.307 0.004 3.587 0
Residuals 1234 1.511 0.001 NA NA

6 - Clonal Ranking Summary Based on LS Means

  • The top-performing clone was clone 63, with a predicted mean volume of 0.163 m³, and a 95% confidence interval ranging from 0.155 to 0.17 m³.
  • The relative volume difference between the top and bottom clones was approximately 93.6 %.
FAMILY STATISTICAL SUMMARY (LS MEANS ANALYSIS)
Clone vol6 lower.CL upper.CL HT6 DBH6 FORK% BTOP% FOX% PEST% CRK% XBD% MaxHT6 MaxDBH6 Survival
63 0.163 0.155 0.170 21.42 18.54 9.4 9.4 9.4 9.4 0 0 25.42 24.75 88.5
4041 0.134 0.127 0.141 20.87 17.23 5.2 5.2 5.2 5.2 0 0 23.87 21.87 100.0
3981 0.130 0.123 0.137 18.42 17.97 4.5 4.5 4.5 4.5 0 0 21.31 23.20 92.7
5676 0.127 0.119 0.135 19.79 16.91 0.0 0.0 0.0 0.0 0 0 22.53 22.87 82.3
5211 0.126 0.119 0.133 19.51 17.16 8.7 8.7 8.7 8.7 0 0 23.09 20.87 95.8
4005 0.117 0.109 0.124 18.63 16.91 0.0 0.0 0.0 0.0 0 0 20.87 23.42 93.8
4149 0.114 0.107 0.121 18.70 16.68 2.2 2.2 2.2 2.2 0 0 21.20 21.98 94.8
183 0.110 0.103 0.118 18.48 16.12 8.8 8.8 8.8 8.8 0 0 22.31 21.42 83.3
186 0.110 0.103 0.117 18.64 15.81 12.5 12.5 12.5 12.5 0 0 23.20 21.98 91.7
189 0.107 0.100 0.115 18.92 16.11 7.5 7.5 7.5 7.5 0 0 21.87 20.65 85.1
4074 0.106 0.099 0.114 17.93 16.57 0.0 0.0 0.0 0.0 0 0 19.98 23.09 93.8
4017 0.106 0.099 0.113 18.35 16.32 22.7 22.7 22.7 22.7 0 0 22.09 23.31 91.7
6717 0.101 0.093 0.108 18.06 15.49 0.0 0.0 0.0 0.0 0 0 23.20 21.53 95.8
4134 0.099 0.092 0.107 17.51 15.90 0.0 0.0 0.0 0.0 0 0 20.76 21.42 93.8
4053 0.084 0.077 0.091 17.31 15.04 5.3 5.3 5.3 5.3 0 0 20.31 19.54 97.9

The table above presents the percentage (%) of trees affected by the following qualitative traits per clone: FORK (Forked), BTOP (Broken Top), FOX (Foxtail), PEST (Pest damage), CRK (Stem Straightness), and XBD (Severe branch diameter).