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ارزیابی و مقایسه روش‌های درون‌یابی و رگرسیون خطی جهت تعیین توزیع مکانی بارش در استان چهارمحال و بختیاری

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه مهندسی طبیعت، دانشکده کشاورزی و منابع طبیعی، دانشگاه اردکان، اردکان، ایران

2 دانش آموخته دکترا، گروه علوم و مهندسی آبخیزداری، دانشکده کشاورزی، دانشگاه یزد، یزد، ایران

چکیده

در پژوهش حاضر، روش­های کریجینگ ساده و معمولی، معکوس فاصله و رگرسیون خطی بر پایه مدل ارتفاعی رقومی زمین، جهت برآورد بارش سالانه با استفاده از آمار بیست ساله­ داده­های بارش (2018– 1998) در 33 ایستگاه باران­سنجی استان چهارمحال و بختیاری مورد ارزیابی قرار گرفت. بدین منظور، ابتدا در ArcMAP به ازای هر مدل در روش کریجینگ، واریوگرام آن محاسبه و با استفاده از فن ارزیابی دوجانبه، خطای نقشه­ها برآورد شد. بهترین روش از میان روش­های زمین‌آماری، روش کریجینگ معمولی با مدل گوسی بود؛ شاخص­های آماری MAE، MBE و RMSE  برای این روش به­ترتیب 44/74، 48/0 و 72/93 به­دست آمد. سپس داده­های بارش و ارتفاع ایستگاه­های موردنظر با استفاده از مدل رگرسیون خطی در محیط Curve Expert فراخوانی گردید. درنهایت به‌منظور تعیین بهترین مدل برای توزیع مکانی بارش و هم­چنین مقایسه روش­های آماری و زمین‌آماری، مدل­های رگرسیون خطی و کریجینگ معمولی با فن ارزیابی متقابل با یکدیگر مقایسه شدند و شاخص­های آماری MAE، MBE و RMSE برای روش رگرسیون خطی به­ترتیب 115، 3 و 155 به­دست آمد. درنتیجه با توجه به‌دقت، صحت و میزان خطای نقشه­های تهیه‌شده مناسب­ترین روش برای درون­یابی بارش سالانه روش کریجینگ معمولی با مدل گوسی می­باشد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Evaluation and Comparison of Interpolation and Linear Regression Methods to Determine the Spatial Distribution of Precipitation in Chaharmahal and Bakhtiari Province, Iran

نویسندگان [English]

  • Farzaneh Fotouhi Firoozabad 1
  • Hamideh Afkhami Ardakani 2

1 Assist. Professor, Department of Nature Engineering, Faculty of Agriculture & Natural Resources, Ardakan University, Ardakan, Iran

2 PhD Alumni, Department of Watershed Management Engineering, Faculty of Natural Resources and Desert, Yazd University, Yazd, Iran

چکیده [English]

In the present study, simple and ordinary kriging methods, inverse distance and linear regression based on digital elevation model of the earth were evaluated for estimating annual rainfall using twenty-year statistics of precipitation data (1998-2018) in 33 rainfall stations in Chaharmahal and Bakhtiari province. For this purpose, first in ArcMAP, for each model in Kriging method, its variogram was calculated and using two-way evaluation technique, the error of the maps was estimated. The best method among geostatistical methods was conventional kriging method with Gaussian model. MAE, MBE and RMSE statistical indices for this method were 74.44, 0.48 and 93.72, respectively. Then, rainfall and altitude data of the stations were used using a linear regression model in Curve Expert environment. Finally, in order to determine the best model for spatial distribution of precipitation as well as comparing statistical and geostatistical methods, linear regression and ordinary kriging models were compared with each other and the MAE, MBE and RMSE statistical indices for regression method obtained were 115, 3 and 155, respectively. As a result, due to the accuracy, precision and error rate of the prepared maps, the most suitable method for interpolation of annual precipitation is the conventional kriging method with Gaussian model.

کلیدواژه‌ها [English]

  • Cross Validation
  • Geographic Information System
  • Kriging
  • Digital Elevation Model
  • Inverse Distance Weighting
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محیط زیست و مهندسی آب
دوره 8، شماره 1
فروردین 1401
صفحه 218-232
فایل ها
سابقه مقاله
  • تاریخ دریافت: 31 خرداد 1400
  • تاریخ بازنگری: 28 شهریور 1400
  • تاریخ پذیرش: 28 شهریور 1400
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