مدلسازی مشخصات رویدادهای بارش با استفاده از مفصل دی-واین

محورهای موضوعی : مدیریت آب در مزرعه با هدف بهبود شاخص های مدیریتی آبیاری

مریم شفائی ¹ , احمد فاخری فرد ² , یعقوب دین پژوه ³ , رسول میرعباسی ⁴

1 - دانشگاه تبریز
2 - دانشگاه تبریز، دانشکده مهندسی آب
3 - دانشگاه تبریز، دانشکده مهندسی آب
4 - گروه مهندسی آب، دانشگاه شهرکرد

تاریخ دریافت : 1395/01/11 تاریخ پذیرش : 1395/04/13 تاریخ انتشار : 1395/11/01

کلید واژه: شبیه‌سازی, توزیع احتمالی, جفت-مفصل, ماکزیمم بارش, مفصل ارشمیدسی, عمق بارش,

چکیده مقاله :

بررسی ویژگی‌های بارش در شناخت و پیش‌بینی پدیده‌های حاصل از بارش مانند رواناب و سیلاب ضروری است، لذا در این مطالعه وابستگی میان ویژگی های مهم رویدادهای بارش (عمق بارش(R) ، ماکزیمم بارش (M)، مدت خشک (D) و مرطوب(L) ) با استفاده از ساختار دی-واین مدلسازی شد. ابتدا توزیع های احتمالی چند متغیره با توجه به جایگشت های مختلف متغیرهای شرطی ساخته شد و سپس خانواده های مفصل های ارشمیدسی و بیضوی جهت برازش بر جفت-مفصل های ساختارهای دی-واین مورد آزمون قرار گرفتند و مناسب ترین خانواده مفصل جهت برازش بر هر جفت-مفصل با توجه به معیارهای مختلف انتخاب گردیدند. در مرحله بعد با توجه به معیارهای اطلاعات آکائیکه (AIC) و بیزین(BIC) ساختار M-R-D-L (یعنی D با L، R با D و L، M با R، D و L شرطی شده‌اند) بعنوان بهترین ساختار شناخته شد. در نهایت با استفاده از ساختار منتخب دی- واین ویژگی های مهم رویداد بارش شبیه‌سازی شد و به منظور ارزیابی دقت شبیه‌سازی مدل پیشنهادی، آماره های مهم هر یک از متغیرهای شبیه‌سازی شده‌ی رویداد بارش با آماره های متغیرهای مشاهداتی مقایسه گردیدند. نتایج نشان دادند که اکثر آماره های شبیه‌سازی شده توسط مدل چهار بعدی دی-واین دارای تطابق خوبی با آماره های متغیرهای مشاهداتی می باشند.

چکیده انگلیسی:

Investigation of precipitation characteristics is necessitate in understanding and predicting phenomena of precipitation such as runoff and flood. Therefore in this study, dependence among the main characteristics of a rainfall event (i.e., rainfall depth R, maximum rainfall depth M, wet period L, and dry period D) were modeled using D-vine structure. Firstly, different multivariate probability distributions were built, making all the permutations of the conditioning variables and then Archimedean and Elliptic copulas were used for fitting each pair-copula. The best copula family was selected for fitting on each pair-copula according to different criteria. In the next stage, M-R-D-L structure, i.e., with D conditioned by L, R by D and L, and M by R, D, and L, was known as the most suitable structure considering to AIC and BIC criteria. Finally, rainfall event characteristics were simulated using the selected structure. In order to evaluation of simulation accuracy of proposed model, the main statistics of simulated variables were compared with those of observed variables. The results showed that the majority of simulated statistics have good accordance with observed statistics. 

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