Yu Li, Shen Shuanghe, Tao Sulin, et al. Daily total radiation model based on air pollution index. J Appl Meteor Sci, 2015, 26(3): 291-299. DOI:  10.11898/1001-7313.20150304.
Citation: Yu Li, Shen Shuanghe, Tao Sulin, et al. Daily total radiation model based on air pollution index. J Appl Meteor Sci, 2015, 26(3): 291-299. DOI:  10.11898/1001-7313.20150304.

Daily Total Radiation Model Based on Air Pollution Index

DOI: 10.11898/1001-7313.20150304
  • Received Date: 2014-12-01
  • Rev Recd Date: 2015-03-04
  • Publish Date: 2015-05-31
  • Solar radiation is the primary energy source of various physical processes in the natural environment, the basic force of driving formation and evolution of weather and climate. It's one of the most important natural factors in many scientific fields. However, compared with temperature and precipitation, solar radiation data are rather deficient in China, and thus it is necessary to seek a new way to calculate it by using the routine meteorological variables. With the rapid development of the national economy and the continuous expansion of cities, the air quality of some large and medium-sized cities has been gradually worsening. However, these effects are often neglected in radiation model, which may cause great errors in the solar radiation calculation. Therefore, a more precise solar radiation model which regards air pollution index as a dominant factor is built to improve model simulation accuracy. By analyzing the statistical analyses about observations of 23 nationwide sites from 2001 to 2012, the model is established for assessment of daily radiation with nonlinear regression method, which is called DSRM-Y. The model includes three independent variables: Daily temperature range, astronomical percentage of sunshine and air pollution index. Meanwhile, to check the simulation effect, results of DSRM-Y are compared with those of a previous model called DSRM-C. Results show a significant negative correlation between two essential factors of air pollution index and daily solar radiation. In addition, a good fitting effect is expressed in scattering diagram, mean bias error, root mean square error and error analysis of daily total radiation between calculated and measured values. The application result of DSRM-Y at Xining, Shanghai and Kunming indicates, as the air pollution index rises, the daily solar radiation weakens in all three sites. In terms of model comparison, the root mean square error of DSRM-Y is less than that of DSRM-C for all sites, indicating DSRM-Y performs better.
  • Fig. 1  Spatial distribution of mean bias error (a) and root mean square error (b)(unit:MJ·m-2·d-1) of daily total radiation simulated by DSRM-Y from 2001 to 2010

    Fig. 2  Daily total radiation predicted by DSRM-Y from 2011 to 2012

    Fig. 3  Changes of estimated solar radiation with P at Xining, Shanghai and Kunming stations

    Fig. 4  Comparison between root mean square errors of daily solar radiation by DSRM-C and DSRM-Y from 2001 to 2010

    Table  1  Empirical coefficients in DSRM-Y and R2 for each station

    站点 N a b c d R2
    大连 2530 0.511 0.023 0.137 -0.316 0.930
    福州 1815 0.424 0.049 0.168 -0.438 0.898
    广州 1886 0.445 0.081 0.072 -1.059 0.838
    贵阳 1387 0.560 0.074 0.165 -0.499 0.782
    哈尔滨 2282 0.447 0.021 0.212 -0.241 0.952
    海口 1771 0.507 0.011 0.175 -0.835 0.794
    杭州 1832 0.446 0.049 0.160 -0.477 0.902
    合肥 2235 0.466 0.019 0.207 -0.497 0.912
    济南 2609 0.468 0.035 0.169 -0.773 0.909
    昆明 2123 0.509 0.022 0.183 -0.211 0.775
    拉萨 2295 0.481 0.061 0.166 -0.118 0.899
    南昌 1973 0.480 0.050 0.104 -0.643 0.874
    南京 2165 0.493 0.042 0.138 -0.585 0.904
    南宁 1880 0.416 0.039 0.205 -0.610 0.853
    汕头 2110 0.426 0.035 0.183 -0.166 0.865
    上海 2163 0.436 0.032 0.211 -0.555 0.876
    沈阳 2539 0.463 0.010 0.223 -0.074 0.929
    天津 2820 0.495 0.010 0.209 -0.269 0.874
    乌鲁木齐 2351 0.573 0.049 0.047 -0.191 0.937
    武汉 2140 0.481 0.054 0.120 -0.904 0.897
    西宁 2230 0.493 0.028 0.193 -0.155 0.952
    长春 2423 0.528 0.031 0.140 -0.456 0.947
    长沙 1727 0.429 0.052 0.102 -0.482 0.818
    DownLoad: Download CSV

    Table  2  Eaa and Ear of daily solar radiation simulated by DSRM-Y from 2001 to 2010

    站点 Eaa/(MJ·m-2·d-1) Ear/%
    大连 1.19 8.31
    福州 1.05 5.89
    广州 1.02 6.28
    贵阳 1.49 7.80
    哈尔滨 1.08 7.70
    海口 1.36 7.28
    杭州 1.17 6.75
    合肥 1.15 7.19
    济南 1.31 8.81
    昆明 1.34 7.22
    拉萨 1.17 5.63
    南昌 1.36 8.16
    南京 1.18 6.92
    南宁 1.08 5.91
    汕头 1.11 6.10
    上海 1.34 8.13
    沈阳 1.19 8.21
    天津 1.64 11.20
    乌鲁木齐 1.31 8.23
    武汉 1.24 7.72
    西宁 1.02 6.02
    长春 1.08 7.82
    长沙 1.50 9.32
    DownLoad: Download CSV

    Table  3  Eaa and Ear of daily solar radiation predicted by DSRM-Y from 2011 to 2012

    站点 Eaa/(MJ·m-2·d-1) Ear/%
    大连 1.32 8.98
    福州 1.63 7.59
    广州 1.40 7.77
    贵阳 3.23 12.65
    哈尔滨 3.19 35.01
    海口 1.50 7.49
    杭州 1.12 5.84
    合肥 1.16 6.25
    济南 2.14 10.64
    昆明 1.31 6.78
    拉萨 1.31 6.64
    南昌 1.88 8.49
    南京 1.06 5.78
    南宁 1.20 6.56
    汕头 1.28 6.56
    上海 1.17 6.03
    沈阳 1.43 8.64
    天津 1.35 9.01
    乌鲁木齐 2.28 15.89
    武汉 1.16 6.24
    西宁 1.29 7.24
    长春 1.08 7.02
    长沙 1.46 7.90
    DownLoad: Download CSV
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    • Received : 2014-12-01
    • Accepted : 2015-03-04
    • Published : 2015-05-31

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