Submitted:
03 February 2026
Posted:
05 February 2026
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Cone and Seed Collection, and Parental Balance Curve
2.2. Data Analysis
3. Results
3.1. Cone and Seed Productions, and Parental Balance Curve
3.2. Fertility Variation, Effective Number of Parents and Gene Diversity
4. Discussion
5. Conclusion
Author Contributions
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Seed Stand code | Latitude (N) |
Longitude (E) | Altitude (m) |
Stand age (year) | Size (ha) |
Density (trees/ha) |
| P1 | 38°05′23′′ | 30°42′20′′ | 1,600 | 60 | 77.0 | 800 |
| P2 | 37°44′47′′ | 30°49′21′′ | 1,600 | 118 | 48.9 | 650 |
| P3 | 37°51′00′′ | 31°19′10′′ | 1,550 | 149 | 23.0 | 450 |
| P1 | P2 | P3 | Pooled | ||||||||
| Years | Mean | CV | Range | Mean | CV | Range | Mean | CV | Range | Mean | CV |
| 2023 | |||||||||||
| NC | 28 | 0.48 | 12-90 | 23 | 0.58 | 12-86 | 36 | 0.58 | 14-110 | 29 | 0.59 |
| NSC% | 73 | 0.17 | 37-95 | 93 | 0.04 | 83-100 | 94 | 0.04 | 80-98 | 87 | 0.14 |
| NSC | 75 | 0.30 | 22-120 | 56 | 0.44 | 12-140 | 82 | 0.32 | 19-131 | 71 | 0.38 |
| NST | 2135 | 0.55 | 374-5940 | 1240 | 0.51 | 192-3080 | 2906 | 0.62 | 742-8580 | 2094 | 0.70 |
| 2024 | |||||||||||
| NC | 20 | 0.85 | 8-72 | 29 | 0.61 | 12-98 | 27 | 0.50 | 14-60 | 25 | 0.65 |
| NSC% | 90 | 0.11 | 66-100 | 89 | 0.11 | 65-100 | 95 | 0.04 | 84-100 | 91 | 0.09 |
| NSC | 44 | 0.59 | 13-110 | 88 | 0.53 | 18-177 | 93 | 0.43 | 16-173 | 75 | 0.59 |
| NST | 895 | 1.19 | 156-5040 | 2325 | 0.62 | 396-6109 | 2715 | 0.69 | 320-6688 | 1978 | 0.85 |
| 2025 | |||||||||||
| NC | 18 | 0.45 | 10-48 | 20 | 0.31 | 12-40 | 28 | 0.63 | 12-90 | 22 | 0.57 |
| NSC% | 85 | 0.14 | 51-100 | 91 | 0.06 | 72-97 | 94 | 0.04 | 85-100 | 90 | 0.01 |
| NSC | 61 | 0.53 | 16-120 | 75 | 0.43 | 18-130 | 90 | 0.37 | 19-164 | 75 | 0.45 |
| NST | 1165 | 0.85 | 160-5472 | 1482 | 0.62 | 288-5000 | 2518 | 0.76 | 760-10152 | 1722 | 0.85 |
| Pooled | |||||||||||
| NC | 22 | 0.63 | 8-90 | 24 | 0.58 | 12-98 | 31 | 0.59 | 12-110 | 26 | 0.61 |
| NSC% | 83 | 0.16 | 37-100 | 91 | 0.07 | 65-100 | 94 | 0.04 | 80-100 | 89 | 0.11 |
| NSC | 60 | 0.50 | 13-120 | 73 | 0.51 | 12-177 | 88 | 0.38 | 16-173 | 74 | 0.48 |
| NST | 1399 | 0.86 | 156-5940 | 1682 | 0.68 | 192-6109 | 2713 | 0.68 | 320-10152 | 1931 | 0.80 |
| Source | Variable | d.f. | Mean square | F | P |
|---|---|---|---|---|---|
| Stand (S) | NC | 2 | 2103.581 | 9.427 | ** |
| NSC% | 2 | 3774.421 | 60.731 | ** | |
| NSC | 2 | 20765.343 | 19.774 | ** | |
| NST | 2 | 50229040.060 | 26.239 | ** | |
| Year (Y) | NC | 2 | 1287.114 | 5.768 | * |
| NSC% | 2 | 661.029 | 10.636 | ** | |
| NSC | 2 | 557.867 | .531 | NS | |
| NST | 2 | 3811994.994 | 1.991 | NS | |
| S x Y interaction | NC | 4 | 625.881 | 2.805 | * |
| NSC% | 4 | 1204.025 | 19.373 | ** | |
| NSC | 4 | 8862.324 | 8.439 | ** | |
| NST | 4 | 11881578.603 | 6.207 | ** | |
| Error | NC | 306 | 223.147 | ||
| NSC% | 306 | 62.150 | |||
| NSC | 306 | 1050.127 | |||
| NST | 306 | 1914322.016 |
| P1 | P2 | P3 | Pooled | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Years | 23 | 24 | 25 | Total | 23 | 24 | 25 | Total | 23 | 24 | 25 | Total | 23 | 24 | 25 | Total |
| ΨC* | 1.22 | 1.71 | 1.20 | 1.40 | 1.33 | 1.36 | 1.10 | 1.33 | 1.33 | 1.24 | 1.38 | 1.34 | 1.34 | 1.42 | 1.32 | 1.36 |
| ΨS | 1.29 | 2.38 | 1.71 | 1.73 | 1.25 | 1.38 | 1.37 | 1.46 | 1.38 | 1.46 | 1.56 | 1.46 | 1.48 | 1.71 | 1.71 | 1.63 |
| NP(C) | 28.7 | 20.5 | 29.2 | 75.6 | 26.4 | 25.7 | 32.0 | 79.0 | 26.3 | 28.6 | 25.3 | 78.3 | 78.4 | 74.0 | 79.6 | 231.5 |
| Nr(C)** | 0.82 | 0.59 | 0.84 | 0.72 | 0.75 | 0.73 | 0.91 | 0.75 | 0.75 | 0.81 | 0.72 | 0.75 | 0.74 | 0.71 | 0.76 | 0.74 |
| NP(S) | 27.1 | 14.7 | 20.5 | 60.9 | 28.0 | 25.4 | 25.5 | 72.0 | 25.4 | 24.0 | 22.5 | 71.9 | 71.0 | 61.3 | 61.5 | 193.8 |
| Nr(S) | 0.77 | 0.42 | 0.59 | 0.58 | 0.80 | 0.73 | 0.73 | 0.69 | 0.73 | 0.69 | 0.64 | 0.69 | 0.68 | 0.58 | 0.59 | 0.62 |
| GDC | 0.983 | 0.976 | 0.983 | 0.993 | 0.981 | 0.981 | 0.984 | 0.994 | 0.981 | 0.982 | 0.980 | 0.994 | 0.994 | 0.993 | 0.994 | 0.998 |
| GDS | 0.982 | 0.966 | 0.976 | 0.992 | 0.982 | 0.980 | 0.980 | 0.993 | 0.980 | 0.979 | 0.978 | 0.993 | 0.993 | 0.992 | 0.992 | 0.997 |
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