Li Rui, Guo Jianping. Improvement and comparison of the accumulated temperature model of northeast spring maize. J Appl Meteor Sci, 2017, 28(6): 678-689. DOI:  10.11898/1001-7313.20170604.
Citation: Li Rui, Guo Jianping. Improvement and comparison of the accumulated temperature model of northeast spring maize. J Appl Meteor Sci, 2017, 28(6): 678-689. DOI:  10.11898/1001-7313.20170604.

Improvement and Comparison of the Accumulated Temperature Model of Northeast Spring Maize

DOI: 10.11898/1001-7313.20170604
  • Received Date: 2017-07-14
  • Rev Recd Date: 2017-09-19
  • Publish Date: 2017-11-30
  • Spring maize in Northeast China plays a more and more important role in the national maize production. The gradually increase in acreage, the per unit area yield and total yield of spring maize have markedly improved since 1980s. Accumulated temperature is one of indexes which are commonly used in agricultural meteorological research and operation service. It's also used in crop model and regional thermal resource analysis which can reflect differences in demand of heat resources between different crops and varieties. And it can also be used to evaluate the suitability of heat conditions in a certain area for crop growth and development to avoid blindness of crops introduction. But in fact, the stability of accumulated temperature is relative, and it fluctuates with differences of crop varieties, locations, years and growth periods. It results in the limited application of the accumulated temperature index. Besides environmental conditions, the instability of accumulated temperature is also affected by different calculation methods. In general, accumulated temperature models are divided into two categories, including linear model and nonlinear model. Therefore, how to choose and revise the existing model for stabilizing the calculation value of accumulated temperature and making it fit well with the actual situation is of great significance for agricultural production and meteorological service.Based on observations of spring maize and meteorological data in Northeast China, the spring maize Sidan19 is taken as an example. The nonlinear accumulated temperature model proposed by Shen Guoquan with good stability is adopted to fit, and the influence of parameter selection on the stability of accumulated temperature is analyzed. The quadratic function of mean temperature to the liner model is revised and analyzed, and the nonlinear model is compared. Results show that the stability of accumulated temperature is related to the parameter P, more stable with smaller P. However, accumulated temperature calculated by the nonlinear model shows inter-annual and inter-regional differences. The main cause for the instability is different temperature strength and its less correlated with other meteorological factors. For each growth period, fitted curves between accumulated temperature and mean temperature are quadratic. The fitting effect of the accumulated temperature calculated by the revised linear model is better than that of Shen Guoquan nonlinear model. Moreover, the stability doesn't appear to be much different between two methods. Thus, the revision of linear model considering the mean temperature for spring maize in Northeast China is feasible, which can help revising agro-meteorological indexes and improving agriculture service capacity.
  • Fig. 1  Correlations between accumulated temperature by nonlinear model and mean temperature at different stations

    Fig. 2  Comparison between accumulated temperature obtained by nonlinear model and linear model

    Fig. 3  Relationship between accumulated temperature by nonlinear model and meteorological factors during emergence to maturity

    Fig. 4  Quadratic correlation between accumulated temperature by nonlinear model and mean temperature(mixed stations)

    Fig. 5  Results obtained by temperature revision model(mixed stations)

    Table  1  Temperatures of three fundamental points of spring maize in growing seasons(unit:℃)

    生育期 最适温度 下限温度 上限温度
    出苗-拔节期 24.0 12.0 35.0
    拔节-抽雄期 28.0 16.0 35.0
    抽雄-成熟期 24.0 15.0 35.0
    出苗-成熟期 25.0 12.0 35.0
    DownLoad: Download CSV

    Table  2  Fitting parameters of nonlinear model and variation coefficient(Tailai Station)

    生育期 P Q K 线性转换决定系数 积温变异系数/%
    出苗-拔节期 0.5 1.0123 e12.6868 0.70 9.38
    0.6 1.1621 e13.3011 0.73 9.40
    0.7 1.3120 e13.9153 0.75 9.42
    0.8 1.4619 e14.5296 0.77 9.44
    0.9 1.6117 e15.1439 0.79 9.46
    1.0 1.7616 e15.7581 0.81 9.48
    拔节-抽雄期 0.5 0.8693 e10.2277 0.87 20.97
    0.6 1.0041 e10.7549 0.88 21.21
    0.7 1.1390 e11.2821 0.89 21.46
    0.8 1.2738 e11.8093 0.90 21.73
    0.9 1.4086 e12.3365 0.90 22.01
    1.0 1.5434 e12.8637 0.91 22.30
    抽雄-成熟期 0.5 4.2089 e20.7425 0.91 14.47
    0.6 4.5281 e21.7664 0.92 14.54
    0.7 4.8472 e22.7903 0.92 14.60
    0.8 5.1663 e23.8143 0.93 14.67
    0.9 5.4855 e24.8382 0.93 14.74
    1.0 5.8046 e25.8621 0.94 14.81
    出苗-成熟期 0.5 1.1779 e13.9831 0.97 6.62
    0.6 1.3366 e14.6211 0.98 6.63
    0.7 1.4953 e15.2591 0.98 6.63
    0.8 1.6539 e15.8971 0.98 6.64
    0.9 1.8126 e16.5351 0.98 6.64
    1.0 1.9713 e17.1731 0.98 6.65
    注:方程均达到0.001显著性水平。
    DownLoad: Download CSV

    Table  3  Nonlinear model fitted for each station and mixed ones

    生育期 站点 拟合方程
    出苗-拔节期 泰来 A(T)=e12.6868(T-B)-0.5(M-T)-1-1.0123
    哈尔滨 A(T)=e14.6129(T-B)-0.5M-T-1-1.8809*
    青冈 A(T)=e14.4623(T-B)-0.5M-T-1-1.7370**
    混合站点 A(T)=e16.8326(T-B)-0.5M-T-1-2.6384
    拔节-抽雄期 泰来 A(T)=e10.2277(T-B)-0.5M-T-1-0.8693
    哈尔滨 A(T)=e11.5074(T-B)-0.5M-T-1-1.2226
    青冈 A(T)=e16.3605(T-B)-0.5M-T-1-3.2350
    混合站点 A(T)=e11.0222(T-B)-0.5M-T-1-1.0965
    抽雄-成熟期 泰来 A(T)=e20.7425(T-B)-0.5M-T-1-4.2089
    哈尔滨 A(T)=e14.1598(T-B)-0.5M-T-1-1.7701
    青冈 A(T)=e26.7917(T-B)-0.5M-T-1-6.3742
    混合站点 A(T)=e17.7128(T-B)-0.5M-T-1-3.1065
    出苗-成熟期 泰来 A(T)=e13.9831(T-B)-0.5M-T-1-1.1779
    哈尔滨 A(T)=e12.3094(T-B)-0.5M-T-1-0.5786
    青冈 A(T)=e12.7876(T-B)-0.5M-T-1-0.7696***
    混合站点 A(T)=e13.7376(T-B)-0.5M-T-1-1.1076
    注:*表示达到0.004显著性水平,**表示达到0.01显著性水平,***表示达到0.029显著性水平,其余均达到0.001显著性水平。
    DownLoad: Download CSV

    Table  4  Accumulated temperature of NLM at different stations(unit:℃·d)

    生育期 泰来 哈尔滨 青冈
    出苗-拔节期 540.2±53.1 314.2±30.5 400.9±37.6
    拔节-抽雄期 116.1±25.50 169.6±34.8 138.1±42.6
    抽雄-成熟期 355.9±54.0 382.3±39.9 255.5±41.8
    出苗-成熟期 1253.0±87.0 1147.7±42.54 1036.1±26.33
    注:表中数值为积温平均值±标准差,各生育期NLM积温地区间差异均达到0.01显著性水平。
    DownLoad: Download CSV

    Table  5  Comparison between variation coefficient of accumulated temperature obtained by nonlinear and linear models(unit:%)

    站点 出苗-拔节期 拔节-抽雄期 抽雄-成熟期 出苗-成熟期
    NLM LM NLM LM NLM LM NLM LM
    泰来 9.38 13.03 20.97 21.82 14.47 14.64 6.62 6.79
    哈尔滨 9.35 17.51 19.75 24.29 9.91 15.61 3.57 6.26
    青冈 8.76 12.47 28.88 29.19 15.30 18.58 2.38 5.12
    混合站点 21.91 27.70 20.82 30.37 20.67 21.76 7.14 9.42
    DownLoad: Download CSV

    Table  6  R2 and normalized root mean square error of accumulated temperature obtained by nonlinear model and temperature revision model

    站点 生育期 决定系数 归一化均方根误差
    NLM TRM NLM TRM
    泰来 出苗-拔节期 0.4149* 0.5713** 10.0224 8.5341
    拔节-抽雄期 0.7513** 0.7746** 11.0674 10.3617
    抽雄-成熟期 0.8014** 0.8553** 6.6636 5.5704
    出苗-成熟期 0.9366** 0.9406** 1.7100 1.6534
    哈尔滨 出苗-拔节期 0.2549 0.3139* 15.1518 14.5037
    拔节-抽雄期 0.5065** 0.5265** 17.2740 16.7126
    抽雄-成熟期 0.4084* 0.4139* 12.0380 11.9491
    出苗-成熟期 0.3735* 0.4050* 4.9659 4.8311
    青冈 出苗-拔节期 0.4540 0.4963 9.2304 8.8518
    拔节-抽雄期 0.9574** 0.9621** 6.0310 5.6866
    抽雄-成熟期 0.7024** 0.7065** 10.1577 10.0677
    出苗-成熟期 0.1740 0.7359** 4.6613 2.6322
    混合站点 出苗-拔节期 0.5096** 0.5427** 19.5490 18.7301
    拔节-抽雄期 0.2628** 0.3897** 26.6452 23.7275
    抽雄-成熟期 0.6340** 0.7285** 13.5658 11.3389
    出苗-成熟期 0.5786** 0.5782** 6.1211 6.1213
    注:*表示达到0.05的显著性水平;**表示达到0.01的显著性水平。
    DownLoad: Download CSV

    Table  7  Comparison between variation coefficient of accumulated temperature obtained by nonlinear model and temperature revision model(unit: %)

    站点 出苗-拔节期 拔节-抽雄期 抽雄-成熟期 出苗-成熟期
    NLM TRM NLM TRM NLM TRM NLM TRM
    泰来 9.38 9.85 20.97 19.20 14.47 13.54 6.62 6.58
    哈尔滨 9.35 9.81 19.75 17.63 9.91 10.04 3.57 3.99
    青冈 8.76 8.79 28.88 28.62 15.30 15.62 2.38 4.39
    混合站点 21.91 20.40 20.82 18.96 20.67 18.57 7.14 7.17
    DownLoad: Download CSV
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    • Received : 2017-07-14
    • Accepted : 2017-09-19
    • Published : 2017-11-30

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