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Acta Agronomica Sinica ›› 2020, Vol. 46 ›› Issue (8): 1166-1173.doi: 10.3724/SP.J.1006.2020.91069

• CROP GENETICS & BREEDING·GERMPLASM RESOURCES·MOLECULAR GENETICS • Previous Articles     Next Articles

Optimization of test location number and replicate frequency in regional winter wheat variety trials in northern winter wheat region in China

ZHANG Yi1,XU Nai-Yin2,GUO Li-Lei1,YANG Zi-Guang3,ZHANG Xiao-Qing1,YANG Xiao-Ni2   

  1. 1National Extension and Service Center of Agricultural Technology, Beijing 100125, China
    2Jiangsu Academy of Agricultural Sciences, Nanjing 210014, Jiangsu, China
    3Luoyang Academy of Agriculture and Forestry Sciences, Luoyang 471022, Henan, China
  • Received:2019-11-29 Accepted:2020-03-24 Online:2020-08-12 Published:2020-05-08
  • Supported by:
    Special Project of National Crop Regional Trials

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Abstract:

The rational allocation of the replicate frequency and test location number in regional crop trials are highly beneficial to the enhancement of both trial cost efficiency and new cultivar selection efficiency. The rationality of test location number and replicate frequency for national wheat regional trials in the Northern winter wheat region (NWWR) in China was evaluated by using historical experimental datasets during the last 10 years according to the dynamics of trial heritability and noise-signal quotient (Q) with the increase of test locations and replicates within trials in 2010-2019, proposing an optimal design scheme of the replicate frequency and test location number for the wheat planting region. The result indicated three replicates at current achieve 0.87 of the averaged within-trial heritability of single-trials in NWWR, and only 1.4 times of replicates on average was needed to achieve 0.75 of within-trial heritability, so three replicates were obviously sufficient to maintain enough test accuracy. The needed test location number to achieve 0.75 of cross-trial heritability was estimated as 11 for the irrigated group and 13 for the rainfed group in the one-year multi-locational trials in NWWR, while in the current wheat trials that was about 11 and 8 effective test locations, achieving a heritability level of 0.75 and 0.60, respectively. The irrigated group was exactly meet the trial accuracy requirement (H = 0.75), while the rainfed group was somewhat insufficient. Considering the importance of the regional wheat trials in recommending new varieties for registration and production, and the possible trial cancellation due to various abnormalities, the practical management should set a heritability level around 0.75, and maintain three replicates, with around 11 test locations for the irrigated group, and 13 locations for the rain-fed group. In order to increase heritability to the level of 0.80, about 16 test locations should be required.

Key words: wheat (Triticum aestivum L.), regional trial, heritability, noise-signal quotient, number of replicate, number of test location

Table 1

Summary statistics of trial yield grand mean, number of cultivars and locations used in regional winter wheat variety trials in Northern winter wheat region from 2010 to 2019"

年度
Year		 水地组
Irrigated group		 旱地组
Rainfed group		 北部冬麦区
Northern winter wheat region
试点数
Site		 品种数
Cultivar		 产量
Yield (kg hm?2)		 试点数
Site		 品种数
Cultivar		 产量
Yield (kg hm?2)		 试点数
Site		 品种数
Cultivar
2009-2010 11 13 6178.1 9 9 3581.0 20 22
2010-2011 12 12 6717.5 9 10 3885.5 21 22
2011-2012 11 11 6895.7 7 8 5524.9 18 19
2012-2013 11 14 6119.9 9 10 3213.0 20 24
2013-2014 12 14 7485.6 9 10 5165.8 21 24
2014-2015 12 10 7935.6 10 13 5490.4 22 23
2015-2016 11 16 7996.1 7 12 4737.7 18 28
2016-2017 10 11 8536.2 9 12 4417.7 19 23
2017-2018 11 14 7153.2 9 8 4719.7 20 22
2018-2019 11 17 8367.4 6 8 4679.4 17 25
平均Mean 11.2 13.2 7338.5 8.4 10.0 4541.5 19.6 23.2
合计Total 112 132 — 84 100 — 196 232

Table 2

Frequency distribution of replicates needed to achieve 0.75 of within-trial heritability for single-trials of regional winter wheat variety trials in Northern winter wheat region from 2010 to 2019"

需要重复数
Interval of
Nr needed		 水地组
Irrigated group		 旱地组
Rainfed group		 北部冬麦区
Northern winter wheat region
N f (%) Cf (%) Nr Qr N f (%) Cf (%) Nr Qr N f (%) Cf (%) Nr Qr
Nr ≤ 1 75 67.0 67.0 0.40 0.13 60 71.4 71.4 0.30 0.10 135 68.9 68.9 0.36 0.12
1 < Nr ≤ 2 14 12.5 79.5 1.41 0.47 14 16.7 88.1 1.34 0.45 28 14.3 83.2 1.38 0.46
2 < Nr ≤ 3 8 7.1 86.6 2.34 0.78 1 1.2 89.3 2.00 0.67 9 4.6 87.8 2.30 0.77
3 < Nr ≤ 4 4 3.6 90.2 3.37 1.12 3 3.6 92.9 3.30 1.10 7 3.6 91.3 3.34 1.11
4 < Nr ≤5 2 1.8 92.0 4.20 1.40 1 1.2 94.1 4.37 1.46 3 1.5 92.9 4.26 1.42
Nr > 5 9 8.0 100.0 9.70 3.23 5 6.0 100.0 8.90 2.97 14 7.1 100.0 9.41 3.14
总计Total 112 100.0 — 1.59 0.53 84 100.0 — 1.17 0.39 196 100.0 — 1.41 0.46

Fig. 1

Relationship between heritability (H) and replicate (Nr) or test location number (Ne) for regional winter wheat variety trials in Northern winter wheat region Irrigated and Rainfed stand for the irrigated group and rainfed group in winter wheat variety trials of Northern winter wheat region. Qr and Qe stand for the noise-signal ratio of replicate and test location number, respectively."

Table 3

Replicate and test location number needed to achieve different heritability levels for regional winter wheat variety trials in Northern winter wheat region"

试验因素
Trial factor		 组别
Group		 信噪比
Qr/Qe		 数量
No.		 不同遗传力(H)水平下需要的重复数和试点数N
Replicate and test location needed at different heritabilities (H) N
0.65 0.75 0.80 0.83 0.85 0.86 0.87 0.88 0.90 0.95
重复
Replicate		 水地Irrigated 0.53 3 1.0 1.6 2.1 2.6 3.0 3.3 3.5 3.9 4.8 10.1
旱地Rainfed 0.39 3 0.7 1.2 1.6 1.9 2.2 2.4 2.6 2.9 3.5 7.4
北部冬麦区NWWR 0.46 3 0.9 1.4 1.8 2.2 2.6 2.8 3.1 3.4 4.1 8.7
试点
Location		 水地Irrigated 3.63 11 6.7 10.9 14.5 17.7 20.6 22.3 24.3 26.6 32.7 69.0
旱地Rainfed 4.17 9 7.7 12.5 16.7 20.4 23.6 25.6 27.9 30.6 37.5 79.2
北部冬麦区NWWR 3.90 10 7.2 11.7 15.6 19.0 22.1 24.0 26.1 28.6 35.1 74.1

Fig. 2

Relationship between heritability increment (ΔH) and per unit replicates or test location number for regional winter wheat variety trials in Northern winter wheat region"

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