Analysis of rainless periods within the DriDanube project

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Analysis of rainless periods within the DriDanube project Bojan Srđević & FAUNS Team FAUNS Faculty of Agriculture, University of Novi Sad, Serbia Training course on drought risk assessment, at OMSZ Hungarian Meteorological Service Budapest, 07.11.2018. DriDanube Drought Risk in the Danube Region Project co-funded by European Union funds (ERDF, IPA)

Outline Analysis of extreme rainless periods (droughts, or implicitly indicators of droughts) as an approach to drought risk representation based on ZT method (after Zelenhasic and Todorovic) Mapping rainless periods for different return periods over the DriDanube countries Creating input to the drought risk web portal as a constituent of Drought User Service (DUS) platform 11/7/2018 DriDanube - Drought Risk in the Danube Region 2

MATH DESCRIPTION HERE: DROUGHT EVENT IS RAINLESS PERIOD 11/7/2018 DriDanube - Drought Risk in the Danube Region 3

Rainless periods as extreme events definition and identification 12 10 8 6 1 April - 30 September Y m =21 days Y m - number of consecutive days with less than 3mm of daily rainfall Daily rainfall [mm] 4 3 mm 2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Searching for periods more than 20 days long, with less than 3 mm of daily rainfall <=> extreme rainless period, or drought. 11/7/2018 DriDanube - Drought Risk in the Danube Region 4

DROUGHT EVENTS as a discrete stochastic process of extremes Rainfall station Sombor in Vojvodina Province (Serbia) 11/7/2018 DriDanube - Drought Risk in the Danube Region 5

CarpatClim Database DRSTA Standard statistical analysis of daily rainfall data at meteorological and rainfall stations DanubeClim Database Observed data DRIDE Identification of meteorological droughts as an extreme climate events DROUGHTS Software (Developed in FAUNS) DRZTM Complete stochastic analysis of extreme meteorological droughts by ZELENHASIC TODOROVIC (ZT) method GIS INTERFACE MAPPING OUTPUT Number of droughts Time of occurence of the first drought Durations of droughts Durations of longest drougts Return periods of droughts Multiple distribution functions DRINT Comparative analysis of other programs results, synthesis and reporting

DROUGHT SOFTWARE Developped and installed computer programs: DRSTA Standard statistical analysis of daily rainfall data at meteorological and rainfall stations DRIDE Identification of rainless periods as an extreme meteorological events (droughts) DRZTM Complete stochastic analysis of long rainless periods by the ZT method DRINT Comparative analysis of other programs results, synthesis and reporting 11/7/2018 DriDanube - Drought Risk in the Danube Region 7

DRZTM... Main features - it is a general stochastic model of extreme rainless events (droughts) at certain location; - drought is defined as at least 20 consecutive days long period with less than 3 mm of daily rainfall; - droughts are independent events, represented by identically distributed random variables that follow the Poisson probability law; - method considers all important components of the process drought duration, time of the occurrence, number of droughts in a given time interval [0,t], and the duration of the longest drought in a given time interval [0,t]; - method provides return periods of the longest droughts, i.e. probability of longest drought occurrence; 11/7/2018 DriDanube - Drought Risk in the Danube Region 8

DRZTM INPUT 1. Parameters (station id, period of analysis, number of droughts, steps of ZT method to be executed) 2. Data about all identified drought events during vegetation season Apr- Sep above reference level of 20 days (and less than 3 mm per day), for multi-year period at given meteorological/rainfall station. Number of drought Year Middle datum of drought Duration of drought 11/7/2018 DriDanube - Drought Risk in the Danube Region 9

DRZTM OUTPUT Step #1: Print all droughts data and determine time of occurrence of droughts Step #2: Distribution of the number of droughts for different time periods Step #3: Distribution of drought lenghts Step #4: Distribution of the longest yearly droughts Step #5: Distribution of the time of occurrence of the second drought Step #6: Distribution of the time of occurrence of the largest drought 11/7/2018 DriDanube - Drought Risk in the Danube Region 10

Example double exponential cummulative distribution of the longest drought at given station Distribution of the longest droughts Example: longest yearly drought duration of 40 days has 10 years return period Return period of the largest droughts 11/7/2018 DriDanube - Drought Risk in the Danube Region 11

RAINLESS PERIODS (DROUGHTS) in DRIDANUBE COUNTRIES FOR RETURN PERIODS OF 100, 50, 20, 10, 5 and 2 years

Grided and observed data are used to compute durations of longest rainless periods with 100, 50, 20, 10, 5, and 2 years return period for all partner countries (total of 170 locations used and mapped)

Representative locations for all partner countries Daily raiinfall data (1981-2010). Partner country Number of points Source of daily rainfall data Austria 19 HISTALP Bosnia and Herzegovina 6 DanubeClim Czech Republic 17 Missing information Croatia 12 Observed data Hungary 22 CarpatClim + DanubeClim Montenegro 4 DanubeClim Romania 43 CarpatClim Serbia 20 CarpatClim + DanubeClim Slovakia 22 CarpatClim Slovenia 5 Observed data 11/7/2018 DriDanube - Drought Risk in the Danube Region 14

HUNGARY

HUNGARY RAINLESS PERIODS (duration in days) Return period T = 100 (years) 63 59 66 61 48 53 53 64 65 70 68 64 59 69 50 55 66 58 43 42 52 64 DriDanube Drought Risk in the Danube Region Project co-funded by European Union funds (ERDF, IPA)

HUNGARY RAINLESS PERIODS (duration in days) Return period T = 50 (years) 56 53 59 55 44 48 48 57 59 62 61 57 54 62 45 50 59 52 39 38 47 58 DriDanube Drought Risk in the Danube Region Project co-funded by European Union funds (ERDF, IPA)

HUNGARY RAINLESS PERIODS (duration in days) Return period T = 5 (years) 33 33 37 35 29 31 30 35 35 38 38 36 34 37 29 32 37 33 26 26 31 36 DriDanube Drought Risk in the Danube Region Project co-funded by European Union funds (ERDF, IPA)

Output data for locations in Hungary Z-T Method Number of RP Longest RP H i s t o r y Day in the year Average sum of rainfall during veg season Budapest Tau=156 corresponds to June 5th (ave mid day) RP= 10.05.-30.06. 11/7/2018 DriDanube - Drought Risk in the Danube Region

ROMANIA

ROMANIA -- --

ROMANIA RAINLESS PERIODS (duration in days) Return period T = 100 (years) 64 60 56 52 41 -- 48 68 65 71 68 -- 53 54 54 53 55 46 53 53 61 52 47 42 52 38 48 33 44 48 47 46 59 66 55 74 65 56 52 65 68 70 76 66

ROMANIA RAINLESS PERIODS (duration in days) Return period T = 50 (years) 58 60 51 47 37 -- 43 61 59 64 61 -- 48 49 49 46 49 41 48 47 54 47 43 38 47 34 44 30 39 42 42 42 53 59 50 66 59 51 47 59 61 63 68 59

ROMANIA RAINLESS PERIODS (duration in days) Return period T = 5 (years) 35 33 33 30 23 -- 25 37 36 38 38 -- 31 30 31 22 31 27 30 25 31 30 27 24 30 22 28 21 25 24 28 29 33 37 29 41 36 32 31 36 38 38 40 36

Interpretations Interpolations Mapping CONNECTION WITH DUS

Interpolations and Mapping... OF THE RESULTS OBTAINED BY THE STOCHASTIC ANALYSIS OF EXTREME RAINLESS PERIODS (DROUGHTS) IN THE DRIDANUBE COUNTRIES

Durations of the longest rainless perioids during vegetation season for return period of 100 years (in days)

Durations of the longest rainless perioids during vegetation season for return period of 50 years (in days)

Durations of the longest rainless perioids during vegetation season for return period of 20 years (in days)

Durations of the longest rainless perioids during vegetation season for return period of 10 years (in days)

Durations of the longest rainless perioids during vegetation season for return period of 5 years (in days)

Durations of the longest rainless perioids during vegetation season for return period of 2 years (in days)

http://193.170.203.91/ 11/7/2018 DriDanube - Drought Risk in the Danube Region 33

http://193.170.203.91/ 11/7/2018 DriDanube - Drought Risk in the Danube Region 34

11/7/2018 DriDanube - Drought Risk in the Danube Region 35

Thank you! 11/7/2018 DriDanube - Drought Risk in the Danube Region 36