Liu Jingpeng, Chen Lijuan, Li Weijing, et al. Credibility of monthly temperature predictability limit and its dependence on length of data. J Appl Meteor Sci, 2015, 26(2): 151-159. DOI:  10.11898/1001-7313.20150203.
Citation: Liu Jingpeng, Chen Lijuan, Li Weijing, et al. Credibility of monthly temperature predictability limit and its dependence on length of data. J Appl Meteor Sci, 2015, 26(2): 151-159. DOI:  10.11898/1001-7313.20150203.

Credibility of Monthly Temperature Predictability Limit and Its Dependence on Length of Data

DOI: 10.11898/1001-7313.20150203
  • Received Date: 2014-12-08
  • Rev Recd Date: 2014-12-29
  • Publish Date: 2015-03-31
  • Under the background of global warming, extreme temperature events in China are frequent in recent years, which cause serious influence on economic development and daily life of people. For the evolution of monthly temperature is influenced by initial forcing and boundary forcing, its variation is complex, and brings great challenge to climate prediction. A quantitative investigation is carried out on the monthly temperature predictability limit based on the nonlinear local Lyapunov exponent and daily temperature from 1960 to 2011 at 518 stations in China. But to get robust nonlinear local Lyapunov exponent, there should be enough observations. How much can the length of data series affect the robustness of monthly temperature predictability limit? And what about the credibility of monthly temperature predictability limit? These two questions need to be further analyzed.Based on the nonlinear local Lyapunov exponent and nonlinear error growth dynamics, quantitative analysis is carried out, and it shows that the robustness of monthly temperature predictability limit depends on the length of data series, especially in Northwest China, Northeast China and Central China. In western Inner Mongolia, south of the Yangtze River and South China, data series need to be more than 30 years long. On average, 45-year data series can ensure the stable monthly temperature predictability limit. The length of data series of 518 meteorological stations chosen in this study is 52 years, i.e., they all fit the basic need to evaluate monthly temperature predictability limit. To verify the credibility of monthly temperature predictability limit, the spatial pattern of monthly temperature predictability limit and two objective monthly temperature prediction results are compared. One method is persistent prediction, and the other is monthly dynamic extended range forecast based on climate models. It shows that the spatial distribution of monthly temperature predictability limit and prediction skill is very consistent. The monthly temperature predictability limit evaluated by observation in January is lower than that in July. Similarly, the prediction skill in January is also lower than that in July. What's more, the spatial pattern of objective climate prediction skill in January (July) is similar to the spatial pattern of monthly temperature predictability limit in the respective month. Thus, the monthly temperature predictability limit estimated by nonlinear local Lyapunov exponent and daily temperature from 1960 to 2011 at 518 stations is scientific and credible. And it provides important reference for improvement of monthly temperature prediction.
  • Fig. 1  Monthly temperature predictability limit under different lengths of data at Minqin Station of Gansu Province

    Fig. 2  The shortest length of data needed to get the robust estimation of monthly temperature predictability limit (a) and the standard deviation of intraseasonal temperature data series (b)

    Fig. 3  The difference between the monthly temperature predictability limit in January and July (unit:d)

    Fig. 4  The prediction score of persistent temperature prediction in January (a) and July (b) from 1983 to 2012 in China

    Fig. 5  The temporal correlation coefficient between monthly observed temperature and monthly predicted temperature given by objective prediction methods in China from 1983 to 2012

    (thick contour denotes passing the test of 0.1 level) (a) with monthly dynamic extended range forecast in January, (b) with monthly dynamic extended range forecast in July, (c) with persistent prediction in January, (d) with persistent prediction in July

    Fig. 6  The monthly temperature prediction skill of objective prediction methods in January and July from 1983 to 2012 in China

    (a) prediction score of monthly dynamic extended range forecast, (b) prediction score of persistent prediction, (c) anomaly correlation coefficient of monthly dynamic extended range forecast, (d) anomaly correlation coefficient of persistent prediction (solid line denotes five-year running mean series)

    Table  1  The percentage of stations in which the monthly temperature prediction skill of monthly dynamic extended range forecast or persistent prediction is higher in January and July from 1983 to 2012(unit:%)

    客观预报方法 预报评分 距平相关系数
    1月 7月 1月 7月
    月动力延伸预报 9 91 4 96
    持续性预报 30 70 24 76
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    Table  2  The percentage of years in which the monthly temperature prediction skill of monthly dynamic extended range forecast or persistent prediction is higher in January and July from 1983 to 2012(unit:%)

    客观预报方法 预报评分 距平相关系数
    1月 7月 1月 7月
    月动力延伸预报 30 70 23 77
    持续性预报 37 63 37 63
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    • Received : 2014-12-08
    • Accepted : 2014-12-29
    • Published : 2015-03-31

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