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Agricultural University of Athens, Hellas 
Christos A. Karavitis 
Ass. Professor, Water Resources Management 
Sector of Water Resources Management 
Dep. of Agricultural Engineering 
AUA 
From Drought Management Strategies 
to Drought Management Policies
From Drought Management Strategies to Drought Management Policies 
THE TRANSFORMING ฮ•NVIRONMENT 
TRENDS AND DEVELOPMENTS 
PREPARING THE SYSTEM OF THE 21ST CENTURY 
SHIFTING PARADIGMS IN THEORY & PRACTICE 
SPECULATING ABOUT THE FUTURE
Definition of Drought 
A creeping phenomenon, a โ€œnon-eventโ€ 
A source of confusion in devising an objective definition may be that drought implies a variety of things to various professionals according to the specialized field of study (meteorology, hydrology, water resources, agriculture etc.). 
โ€ขOperational definitions attempt to demarcate the severity, onset and termination point of droughts 
โ€ขConceptual definitions attempt to identify the boundaries of the drought event
Drought 
โ€ขa usually unexpected and unpredicted time period of abnormal dryness which affects water supply" (Grigg, N.S., 1988). 
โ€ขThe state of adverse and wide spread hydrological, environmental, social and economic impacts due to less than generally anticipated water quantities (Karavitis, 1992)
Social and Economic Drought / Water resources Engineering 
โ€ขGap between supply and demand of economic goods such as 
โ€“water, 
โ€“food, 
โ€“raw materials, 
โ€“hydroelectric power, 
โ€“transportation 
โ€ขdepends on the time and space processes of supply and demand 
โ€ขSocial Stresses โ€“ Economic impacts
From Drought Management Strategies to Drought Management Policies 
THE TRANSFORMING ฮ•NVIRONMENT 
TRENDS AND DEVELOPMENTS 
PREPARING THE SYSTEM OF THE 21ST CENTURY 
SHIFTING PARADIGMS IN THEORY & PRACTICE 
SPECULATING ABOUT THE FUTURE
Cook et al., 2004 
Percent area affected by drought (PDSI) Western States, USA.
J Sheffield et al. Nature 491, 435-438 (2012) doi:10.1038/nature11575 
Global average time series of the PDSI and area in drought. Little change in global drought over the past 60 years 
a, PDSI_Th (blue line) and PDSI_PM (red line). b, Area in drought (PDSI <โˆ’3.0) for the PDSI_Th (blue line) and PDSI_PM (red line). The shading represents the range derived from uncertainties in precipitation (PDSI_Th and PDSI_PM) and net radiation (PDSI_PM only). Uncertainty in precipitation is estimated by forcing the PDSI_Th and PDSI_PM by four alternative global precipitation data sets. Uncertainty from net radiation is estimated by forcing the PDSI_PM with a hybrid empiricalโ€“satellite data set and an empirical estimate. The other near- surface meteorological data are from a hybrid reanalysisโ€“observational data set. The thick lines are the mean values of the different PDSI data sets. The time series are averaged over global land areas excluding Greenland, Antarctica and desert regions with a mean annual precipitation of less than 0.5 mm dโˆ’1
The Greenland temperature proxy during the Holocene 
Reconstructed from the GISP2 Ice Core (Alley, 2000, 2004). Data from: 
ftp.ncdc.noaa.gov/pub/data/paleo/icecore/greenland/summit/gisp2/isotopes/gisp2_temp_accum_alley2000.txt 
-1.5-0.50.51.52.53.501000200030004000500060007000800090001000011000Years before present Temperature departure (oC) 20-year scale (interpolated) 500-year average2000-year averageMedieval warm periodLittle ice ageRoman climate optimumMinoan climate optimum
ANTARCTIC ICE CORE
From Drought Management Strategies to Drought Management Policies 
THE TRANSFORMING ฮ•NVIRONMENT 
TRENDS AND DEVELOPMENTS 
PREPARING THE SYSTEM OF THE 21ST CENTURY 
SHIFTING PARADIGMS IN THEORY & PRACTICE 
SPECULATING ABOUT THE FUTURE
โ€ขPrevailing crisis management attitude 
โ€ขNatural Hazards Emergency Response Procedures 
โ€ขProtocols for Processes and Procedures 
โ€ขCreate a wider menu of options and alternatives 
Why are Drought Contingency Policies Needed?
Crisis 
Management 
Risk/Adaptive 
Management 
NMMC, 2004; Karavitis, C. A., . E. C. Vlachos and N. S. Grigg, 2005 
Preparedness 
Mitigation 
Reconstruction 
Recovery 
Response 
Impact 
Assessment 
Disaster 
Prediction 
Warning
Analysis for a Risk Management Framework
Adaptation Planning 
Source: IPCC Dr. Thomas E. Downing (SEI)
First Plenary meeting 22-25 November - Nauplion 2011 
FP7 
Tomorrowโ€™s answers start today 
Vulnerability 
The degree to which a system, subsystem, or system component is likely to experience harm due to exposure to a hazard, either a perturbation or stress/stressor (Turner et.al, 2003) 
Institution 
Logo 
Vulnerability = F(Hazard , Impacts) 
UN-ISDR, 2004
๏‚งThe vulnerability term is composed of two basic elements: hazard and impacts. Thus, without a hazard or something to be affected, no vulnerability is implied. 
๏‚งExposure is also considered to be part of vulnerability though sometimes it is conceived as the relation that connects the system to the concerning hazard. 
๏‚งGenerally, vulnerability refers to the factors that affect both the systems likelihood to be harmed and the systemโ€™s ability to cope. 
๏‚งDrought vulnerability depends both on the sector of concern where drought is applied on (agriculture, industry, etc.) and the system of interest.
Drought contingency Plan
From Drought Management Strategies to Drought Management Policies 
THE TRANSFORMING ฮ•NVIRONMENT 
TRENDS AND DEVELOPMENTS 
PREPARING THE SYSTEM OF THE 21ST CENTURY 
SHIFTING PARADIGMS IN THEORY & PRACTICE 
SPECULATING ABOUT THE FUTURE
Primary Meteorological, Agricultural or Hydrological Drought Indices 
โ€ขPercent of Normal 
โ€ขDeciles 
โ€ขPalmer Drought Index 
โ€“PDSI, PHDI, CMI 
โ€ขSurface Water Supply Index 
โ€ขStandardized Precipitation Index (SPI) 
โ€ขReconnaissance Drought Index (RDI) 
โ€ขVegetation indices (NDVI, VCI, SVI) 
โ€ขU.S. Drought Monitor 
โ€“Composite index approach
Relation between SDVI & drought aspects (DMCSEE, 2011)
Methodological Framework 
โ€ขDrought Impact database 
โ€ขImpact assessment-Resilience 
โ€ขVulnerability assessment 
โ€ขVulnerability visualization
Steps 
1. SPI 6 and SPI 12 calculation and Kriging 
2. Supply and Demand Data 
3. Impact Data 
4. Infrastructure Data on the Level of deficiency 
5. Index Calculation 
6. Index Visualization
Drought Vulnerability Index 
The SDVI is composed of six components in four categories: 
1. cSPI-12 representing the non-agricultural water availability (hydropower, households and tourism) and cSPI-6 portraying the agricultural (irrigation) use, respectively. Their values are calculated on local (meteorological station) scale. 
2. Supply and Demand that describe the deficits in supplying capacity (network operation and losses) and in demand coverage. Their magnitude depends on the available and delivered amount of water. 
3. Impacts that describe the losses (transformed into monetary units) that might have been caused due to the supply โ€“ demand deficiencies.
Drought Vulnerability Index 
4. Infrastructure that describes the existing infrastructure level of development regarding the level of deficiency (divergence from the designed supply capacity). 
The values of the components included in the last three categories are calculated on a basin or sub-basin scale (in the case of infrastructure, average values are used). 
The assessment is based on a synthetic SPI-based Drought Vulnerability Index (SDVI) that was developed by Agricultural University of Athens (2011), in the context of Drought Management Centre in South-eastern Europe (DMCSEE Project-eu).
Components Classification 
(DMCSEE, 2011)
Drought Vulnerability Index 
The assessment is based on a synthetic SPI-based Drought Vulnerability Index (SDVI) that was developed by Agricultural University of Athens, in the context of Drought Management Centre in South-eastern Europe (DMCSEE Project , 2011). 
. 
ํ‘†ํทํ‘‰ํผ= ํ‘†ํ‘ํ‘Žํ‘™ํ‘’ํ‘‘ ํ‘‰ํ‘Žํ‘™ํ‘ขํ‘’ ํ‘œํ‘“ ํ‘กโ„Žํ‘’ ํถํ‘œํ‘šํ‘ํ‘œํ‘›ํ‘’ํ‘›ํ‘กํ‘  ํ‘ ํ‘ ํ‘–=1 
The equation implies that all the components are equally weighted.
Lower Upper Relative Cumulative Cum. Rel. 
Class Limit Limit Midpoint Frequency Frequency Frequency Frequency 
at or below 0 0 0.0000 0 0.0000 
1 0 0.5 0.25 24 0.0563 24 0.0563 
2 0.5 1.0 0.75 64 0.1502 88 0.2066 
3 1.0 1.5 1.25 189 0.4437 277 0.6502 
4 1.5 2.0 1.75 125 0.2934 402 0.9437 
5 2.0 2.5 2.25 23 0.0540 425 0.9977 
6 2.5 3.0 2.75 1 0.0023 426 1.0000 
above 3.0 0 0.0000 426 1.0000 
SENSITIVITY ANALYSIS & CLASSIFICATION
Index Classification
Methodology used 
7 Case studies were selected located in: 
1.Bulgaria 
2.F.Y.R.O.M. 
3.Hellas 
4.Hungary 
5.Montenegro 
6.Serbia 
7.Slovenia
โ€ขWater Stress Vulnerability Index (WStVI) 
โ€ขWater Scarcity Vulnerability Index (WScVI) 
โ€ขDrought Vulnerability Index (DVI) 
For each point (sub-area), the web tool can automatically calculate: 
1.3 - Calculation + Visualization 
47
Water Changing Conditions
Selection & Classification of Indicators for DVI 
Non VulnerableLess VulnerableMedium VulnerableHighly VulnerableExtremely VulnerableExceptionally Vulnerable012345Coefficient of variation of precipitation (%)< 2020 to 3030.1 to 3535.1 to 4040.1 to 50> 50Dryness Ratio (%)< 2020 to 3030.1 to 4040.1 to 5050.1 to 65> 65SPI 1> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 3> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 6> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 9> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 12> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 24> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00Vegetation cover of basin area (%)> 8079.9 to 7069.9 to 6059.9 to 5049.9 to 35.0< 35Total Rate of Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Domestic Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Industrial Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Agricultural Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Coverage of Other Uses (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Change in Total Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Domestic Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Industrial Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Agricultural Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Coverage for Other Uses (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Population Density (No/km2)< 19.119.1 to 50.050.1 to 90.090.1 to 150.0150.1 to 250.0> 250Population Growth (%)< 00 to 0.60.61 to 1.101.11 to 1.60 1.61 to 2.00>2.00....... ....... ....... Drought Vulnerability Indicators (WStVI)
Calculation of Indicators (75 Indicators) 
RSPI1 RSPI3 RSPI6 RSPI9 RSPI12 RSPI24 AGRGDP AGRGROW AcSan ChAcSan AgrPr ChAgrPr CosWatExTr . . . 
2 1 1 1 1 1 5 1 4 0 0 3 5 . 
1 0 2 1 1 1 5 1 4 0 0 3 5 . 
0 1 1 1 1 1 5 1 4 0 0 3 5 . 
0 1 1 1 1 1 5 1 4 0 0 3 5 . 
2 4 2 2 1 2 5 1 4 0 0 3 5 . 
2 2 1 1 1 2 5 1 4 0 0 3 5 . 
3 1 1 1 1 1 5 1 4 0 0 3 5 . 
0 1 1 1 1 1 5 1 4 0 0 3 5 . 
1 1 1 1 1 2 5 1 4 0 0 3 5 . 
1 1 1 1 0 3 5 1 4 0 0 3 5 . 
1 1 1 1 1 3 5 1 4 0 0 3 5 . 
0 1 1 1 1 3 5 1 4 0 0 3 5 .
Correlation matrix & Descr. Stats for DVI (52 Indicators) 
SPI 1 
SPI 3 
SPI 6 
SPI 9 
SPI 12 
SPI 24 
Population Density (No/km2) 
Population Growth (%) 
Agricultural Growth (%) 
Industrial Productivity ($/m3) 
Change in Industrial Productivity (%) 
Agricultural Productivity ($/m3) 
Total Use of Reclaimed Water (Ratio) 
Change in Agricultural Productivity (%) 
Total Stored Water (hm3) 
Change in Stored Water (%) 
Gross Domestic Product ($/capita) 
Water Supplied Population (%) 
Change in Supplied Population (%) 
Tourists Accomodation (Days) 
Tourists Density (No/km2) 
Population under Poverty (%) 
Change in Population Under Poverty (%) 
Water Governance (Q) 
Wastewater Governance (Q) 
Degree of Preparedness (Q) 
Status of Water Supply Infrastructure (Q) 
Status of Wastewater Treatment and Supply Infrastructure (Q) 
Change in Use of Reclaimed Water (%) 
Legal Framework (Q) 
Financial Framework (Q) 
Institutional Framework (Q) 
Policy Framework (Q) 
Index of Inflow (%) 
Storage Capacity per capita (m3/capita) 
Distribution Network Efficiency (%) 
Share of water use by agriculture adjusted by the sectorโ€™s share of GDP 
Share of water use by industry adjusted by the sectorโ€™s share of GDP 
Irrigated land as % of cultivated land (%) 
Hydropower Dependence (%) 
Water charges as percentage of per capita income (%) 
Literacy rate (%) 
Economically active population (%) 
Investments (%GDP) 
Cost of Water Extraction and Treatment ($/m3) 
Groundwater development stress indicator (GDSI) 
Share of domestic supply from conventional freshwater sources (surface & groundwater) 
Share of agricultural supply from conventional freshwater sources (surface & groundwater) 
Share of industrial supply from conventional freshwater sources (surface & groundwater) 
Share of domestic supply from alternative freshwater sources (e.g. reclaimed water) 
Share of agricultural supply from alternative freshwater sources (e.g. reclaimed water) 
Share of industrial supply from alternative freshwater sources (e.g. reclaimed water) 
Change in Use of Reclaimed Water (%)
Factor Analysis for Drought Vul. Ind. 
Component Initial Eigenvalues Extraction Sums of Squared Loadings 
Total % of 
Variance 
Cumulative 
% 
Total % of 
Variance 
Cumulative 
% 
1 3.187 45.522 45.522 3.187 45.522 45.522 
2 1.494 21.349 66.871 1.494 21.349 66.871 
3 1.091 15.589 82.461 1.091 15.589 82.461 
4 .614 8.777 91.238 
5 .358 5.119 96.357 
6 .185 2.644 99.001 
7 .070 .999 100.000 
DVI Indicators weights 
Index of Flow 0.092 
RSPI6 0.166 
RSPI12 0.191 
Change in Agricultural Productivity (%) 0.078 
Change in Industrial Productivity (%) 0.075 
Status of Wastewater Treatment and Supply 
Infrastructure 
0.202 
Status of Water Supply Infrastructure 0.196
SENSITIVITY ANALYSIS & CLASSIFICATION 
Lower Upper Relative Cumulative Cum. Rel. 
Class Limit Limit Midpoint Frequency Frequency Frequency Frequency 
at or below 0 0 0.0000 0 0.0000 
1 0 0.714286 0.357143 64 0.0064 64 0.0064 
2 0.714286 1.42857 1.07143 1000 0.1000 1064 0.1064 
3 1.42857 2.14286 1.78571 3050 0.3050 4114 0.4114 
4 2.14286 2.85714 2.5 3630 0.3630 7744 0.7744 
5 2.85714 3.57143 3.21429 1808 0.1808 9552 0.9552 
6 3.57143 4.28571 3.92857 412 0.0412 9964 0.9964 
7 4.28571 5.0 4.64286 36 0.0036 10000 1.0000 
above 5.0 0 0.0000 10000 1.0000 
Classes 
No Vulnerability 0 
Very Low Vulnerability 0.72 1.42 1 
Low Vulnerability 1.43 2.14 2 
Medium Vulnerability (At Risk) 2.15 2.86 3 
High Vulnerability 2.87 3.57 4 
Very High Vulnerability 3.58 4.28 5 
Extreme Vulnerability 6 
Drought Vulnerability Index 
<0.71 
>4.29
The results for the whole study area can then be represented on the visualization Platform (eg: using Kriging - regression) 
1.3 - Calculation + Visualization 
54
After this initial analysis, the web tool will allow the end- -user to deeply analyze/improve the vulnerable subareas, towards possible WR&R: 
2 - WR&R Evaluation and Policy options 
55
From Drought Management Strategies to Drought Management Policies 
THE TRANSFORMING ฮ•NVIRONMENT 
TRENDS AND DEVELOPMENTS 
PREPARING THE SYSTEM OF THE 21ST CENTURY 
SHIFTING PARADIGMS IN THEORY & PRACTICE 
SPECULATING ABOUT THE FUTURE
Nevertheless, the major challenge for any drought related research may be the development of comprehensive and effective drought management and decision making schemes. In such quests, forecasting may provide some helpโ€ฆ
โ€ขTraditional Planning 
โ€“ Assumes stationary climate 
โ€“Uses recorded weather and hydrology times series 
โ€“Cylinder of Certainty 
Cone of Uncertainty 
58 
Adapted from Malcolm Pirnie,2009 
Present 
Recorded 
Variability 
Future 
๏‚— Updated Planning Methods 
๏‚—Hundreds of possible climate scenarios 
๏‚—Multi-outcome planning 
๏‚—Robust over optimal
Scenario Planning 
โ€ขSmall number of equally likely scenarios [A, B, C, D] 
โ€ขCommon strategies (no regrets) 
โ€ขSign posts 
59 
A 
B 
C 
D 
Sign Post 
Present 
Future
Robust Decision Making 
โ€“CIS analysis of many plausible likely scenarios 
โ€“Iteration and hedging 
60 
Present 
Future
DROUGHT FORECASTING 
โ€ขStatistical predictions: based on lagged relationships between regional meteorological patterns (i.e. rainfall) and actual data. 
โ€ขProbabilistic predictions: by trying to estimate the mathematical probability of a given phenomenon in a certain time frame based usually on analysis of time series data. 
โ€ขDeterministic predictions: which attempt to model important features of the existing system and provide a basis for contingency analysis through simulation
Greece is highly dependent on the annual rainfall patterns resulting that any precipitation deficit may cause most of the time significant impacts on the economy, societal activities and the environment. 
A series of such deficits have occurred during the last decades (e.g. 1989-90, 1993, 2000, 2003, 2007) characterizing Greece as drought prone, exposing economy to threats and leaving it vulnerable to loses.
Mean Annual Precipitation 1947-2011 
ฮ•ฮœฮ™ฮค, AUA, 2011
THE ATHENIAN 1989-90 DROUGHT
TECHNICAL SUPPORT TO THE CENTRAL WATER AGENCY FOR THE DEVELOPMENT OF A DROUGHT MASTER FOR GREECE AND AN IMMEDIATE DROUGHT MITIGATION PLAN 
Contract No. 10889/11/07 /2007 Ministry of Planning, Public Works and the Environment To Water Resources Management Sector, Department of Natural Resources and Agricultural Engineering, Agricultural University of Athens Co-ordinator Christos A. Karavitis Submitted on October 2008
the Seasonal ARIMA Model (Auto Regressive /Integrated/Moving Average) has been applied for forecasting
Forecasting Methodology 
52 stations 
24 station at Central 
Greece for January 
2007 
Application for all Greece 
33 stations
Validation model (Seasonal ARIMA 15 years)
Station 
X 
Y 
Period 
Average 
Standard deviation 
Minimum 
Maximum 
Stnd. skewness 
Stnd. kurtosis 
Agia Triada 
405136 
4244800 
1981-2010 
986.56 
220.27 
534.3 
1382.7 
-1.10 
-0.30 
Amfissa 
358886 
4265827 
1981-2010 
681.94 
161.66 
328.4 
1025.7 
0.34 
0.42 
Gravia 
363497 
4280548 
1981-2010 
822.31 
143.23 
431.3 
1048.9 
-1.87 
0.80 
Davlia 
389166 
4248703 
1981-2010 
770.83 
153.20 
463.5 
1062.1 
-0.63 
-0.89 
Distomo 
383406 
4253888 
1981-2010 
605.78 
121.66 
329.4 
821.7 
-0.78 
-0.45 
Eptalofos 
367725 
4273077 
1981-2010 
972.64 
221.66 
612.1 
1420.1 
0.41 
-1.22 
Zilefto 
349557 
4310404 
1981-2010 
394.19 
166.89 
96.9 
835.7 
0.93 
0.22 
Thisvi 
409381 
4233654 
1981-2010 
458.00 
149.83 
185.6 
874.9 
0.93 
0.90 
Itea 
363056 
4254654 
1981-2010 
377.45 
119.48 
187.7 
660.9 
0.80 
-0.53 
Kalithea 
451708 
4238840 
1981-2010 
468.85 
157.18 
0 
753.6 
-1.35 
1.61 
Kaloskopi 
354830 
4282551 
1981-2010 
879.01 
235.07 
568.0 
1740.1 
4.01 
5.87 
K.Tirothea 
388071 
4274616 
1981-2010 
655.60 
129.32 
388.8 
991.9 
0.31 
0.84 
Lamia 
361050 
4306493 
1981-2010 
538.38 
115.08 
328.0 
870.5 
1.12 
1.27 
Livadia 
400880 
4254100 
1981-2010 
737.21 
156.38 
414.1 
1037.8 
0.51 
-0.43 
Lilea 
369237 
4276752 
1981-2010 
848.55 
335.74 
0 
1272.4 
-3.59 
2.44 
Pavlos 
421355 
4264972 
1981-2010 
479.07 
160.67 
82.5 
741.5 
-0.86 
-0.23 
Trilofo 
345367 
4317887 
1981-2010 
598.79 
126.42 
373.0 
826.5 
0.72 
-0.85 
Tymfristos 
319174 
4309189 
1981-2010 
1022.99 
382.17 
141.0 
1713.3 
-1.55 
0.09 
Elliniko 
475537 
4194336 
1981-2010 
363.63 
96.39 
155.4 
546.6 
-0.82 
0.06 
Asteroskopio 
475089 
4202597 
1981-2010 
397.06 
138.72 
150.6 
896.0 
3.30 
5.36 
Elefsina 
440916 
4212390 
1981-2010 
344.17 
91.06 
117.4 
468.3 
-1.48 
-0.16 
Tatoi 
480783 
4218209 
1981-2010 
435.09 
153.46 
169.6 
812.7 
-0.03 
-0.15 
Filladelphia 
477479 
4210345 
1981-2010 
452.17 
177.52 
180.5 
1015.5 
2.95 
3.35 
Ypati 
346524 
4303061 
1981-2010 
790.74 
293.18 
327.6 
1431.0 
0.98 
-0.57
Adopted Methodology 
Drought event in 2007โ€ฆ 
1.Based on the available raw data obtained from twenty-four meteorological stations and for a calibration period of thirty years (1981 โ€“ 2010), the SPI (3, 6, 9, 12 and 24) values were calculated on a monthly scale. 
2.The SPI values from January, 1981 to December, 2006 were used as input data in the ARIMA (Auto Regressive /Integrated/Moving Average) model for a forecasting period of three months (January โ€“ March, 2007) to be developed. 
3.Comparative analysis of Steps 1 and 2
Divergence of the projected SPI 6 values compared to the observed ones
Application Period (2013-2020)
Station 
X 
Y 
Period 
Average 
St. Deviation 
Coeff. of variation 
Minimum 
Maximum 
Stnd. skewness 
Stnd. kurtosis 
Agrinio 
268875.16 
4275530.28 
1947-2012 
891.31 
225.80 
0.25 
388.60 
1463.90 
0.25 
-0.74 
Aktion 
219283.86 
4312709.01 
1971-2012 
873.47 
179.94 
0.21 
504.40 
1251.40 
0.21 
-0.87 
Alexandroupolis 
662821.24 
4523618.93 
1947-2012 
540.44 
134.46 
0.25 
275.70 
905.90 
0.91 
-0.60 
Anchialos 
396082.70 
4342228.76 
1956-2012 
491.37 
116.95 
0.24 
288.30 
847.00 
2.29 
0.61 
Andravida 
261465.38 
4199167.76 
1959-2012 
778.55 
178.68 
0.23 
325.60 
1160.00 
-0.73 
-0.10 
Arta 
240224.50 
4338878.73 
1976-2012 
1082.74 
232.05 
0.21 
493.70 
1509.90 
-0.51 
-0.26 
Asteroskopio 
475089.38 
4202597.25 
1858-2012 
394.97 
111.63 
0.28 
115.70 
896.00 
5.72 
9.20 
Chania 
512901.68 
3932269.85 
1959-2012 
633.32 
171.80 
0.27 
287.50 
977.20 
1.12 
-1.12 
Chios 
687028.85 
4245693.86 
1974-2012 
562.24 
158.66 
0.28 
110.30 
857.80 
-0.98 
0.69 
Elefsina 
440915.88 
4212389.83 
1951-2012 
377.89 
111.36 
0.29 
117.40 
740.40 
2.00 
2.66 
Hellenicon 
476989.70 
4193354.66 
1948-2012 
367.81 
92.76 
0.25 
155.40 
560.30 
0.17 
-0.30 
Heraclion 
607395.45 
3910363.07 
1947-2012 
478.71 
117.08 
0.24 
261.80 
793.90 
0.78 
-0.35 
Ioannina 
227392.02 
4398141.29 
1950-2012 
1096.80 
247.13 
0.23 
490.70 
1708.20 
0.18 
-0.22 
Kalamata 
324360.97 
4102811.24 
1971-2012 
766.62 
167.77 
0.22 
288.00 
1082.30 
-1.90 
0.82 
Kastoria 
269220.67 
4480918.49 
1981-2012 
554.86 
138.64 
0.25 
281.47 
882.94 
0.53 
0.11 
Kerkyra 
147783.91 
4391112.67 
1947-2012 
1119.05 
246.07 
0.22 
620.80 
1636.30 
0.29 
-1.04 
Konitsa 
256042.84 
4462236.91 
1955-2012 
922.17 
304.21 
0.33 
209.80 
1642.00 
-0.12 
-0.08 
Lamia 
360383.21 
4300968.99 
1956-2012 
571.76 
151.69 
0.27 
159.28 
973.80 
0.93 
1.69 
Larisa 
366008.76 
4389788.05 
1949-2012 
431.64 
109.36 
0.25 
211.30 
772.50 
1.68 
1.44 
Lesvos 
725179.25 
4325645.06 
1952-2012 
642.64 
158.24 
0.25 
246.30 
931.30 
-0.86 
-0.30 
Lymnos 
605166.73 
4419248.05 
1968-2012 
513.19 
175.49 
0.34 
211.86 
970.01 
1.32 
0.13 
Melos 
538541.95 
4065090.13 
1950-2012 
407.68 
125.18 
0.31 
69.10 
774.80 
0.86 
1.56 
Methone 
295151.20 
4077583.50 
1967-2012 
647.01 
133.53 
0.21 
389.66 
969.79 
0.84 
0.03 
Rhodes 
866517.69 
4035914.60 
1955-2012 
670.42 
180.79 
0.27 
310.70 
1112.50 
1.11 
-0.38 
Samos 
756986.43 
4175249.62 
1978-2012 
701.20 
189.14 
0.27 
353.00 
1064.50 
0.08 
-1.04 
Serres 
463452.85 
4547812.89 
1956-2012 
483.42 
121.38 
0.25 
137.30 
858.40 
1.46 
3.10 
Skyros 
541787.38 
4312174.03 
1931-2012 
471.83 
163.61 
0.35 
159.80 
879.50 
0.41 
-1.13 
Tanagra 
461951.48 
4243016.32 
1960-2012 
471.21 
123.20 
0.26 
175.60 
775.60 
0.20 
0.10 
Tatoi 
480783.38 
4218208.89 
1952-2012 
461.30 
132.27 
0.29 
169.60 
812.70 
-0.18 
0.76 
Thera 
632478.91 
4029392.55 
1961-2012 
324.92 
124.81 
0.38 
16.40 
562.90 
-0.46 
-0.14 
Thessalonike 
412412.02 
4485367.97 
1959-2012 
454.77 
97.97 
0.22 
248.94 
722.87 
0.82 
-0.09 
Tripolis 
358423.25 
4154541.74 
1949-2012 
733.92 
185.95 
0.25 
251.98 
1192.80 
0.04 
0.21
Station 
Model 
RMSE 
RUNS 
RUNM 
AUTO 
MEAN 
VAR 
Agrinio 
ARIMA(2,0,1)x(2,1,2)180 
0.101624 
OK 
OK 
*** 
OK 
* 
Aktion 
ARIMA(1,1,2)x(1,2,0)180 
0.201477 
*** 
OK 
Alexandroupolis 
ARIMA(2,0,2)x(1,1,2)180 
0.186691 
OK 
OK 
*** 
** 
OK 
Anchialos 
ARIMA(1,1,2)x(2,2,0)180 
0.431217 
*** 
OK 
OK 
Andravida 
ARIMA(1,1,2)x(2,1,0)180 
0.135341 
*** 
OK 
OK 
Arta 
ARIMA(2,0,2)x(2,1,2)180 
0.249207 
OK 
* 
*** 
OK 
OK 
Asteroskopio 
ARIMA(2,0,1)x(2,1,2)180 
0.343600 
OK 
OK 
*** 
OK 
** 
Chania 
ARIMA(1,1,1)x(2,2,0)180 
0.058688 
*** 
OK 
OK 
Chios 
ARIMA(1,1,2)x(2,0,1)180 
0.035345 
*** 
OK 
OK 
*** 
Elefsina 
ARIMA(2,0,2)x(2,2,1)180 
0.138900 
OK 
*** 
*** 
OK 
Hellenicon 
ARIMA(2,0,2)x(2,2,1)180 
0.295673 
OK 
*** 
*** 
Heraclion 
ARIMA(1,1,1)x(1,2,0)180 
0.026318 
*** 
OK 
OK 
Ioannina 
ARIMA(1,0,2)x(2,2,1)180 
0.322977 
*** 
** 
*** 
Kalamata 
ARIMA(1,1,2)x(2,1,0)180 
0.0000510 
*** 
OK 
OK 
Kastoria 
ARIMA(1,1,1)x(1,1,0)180 
0.0014500 
* 
OK 
OK 
Kerkyra 
ARIMA(2,0,1)x(2,2,2)180 
0.3864025 
OK 
OK 
*** 
Konitsa 
ARIMA(1,1,1)x(2,1,1)180 
0.0020666 
*** 
OK 
*** 
Lamia 
ARIMA(1,1,1)x(2,1,0)180 
0.0043118 
*** 
OK 
OK 
Larisa 
ARIMA(2,0,2)x(2,2,0)180 
0.02018869 
*** 
*** 
*** 
Lesvos 
ARIMA(1,0,1)x(2,2,2)180 
0.00440373 
*** 
*** 
*** 
Lymnos 
ARIMA(1,1,0)x(2,1,0)180 
0.0003154 
*** 
OK 
OK 
Melos 
ARIMA(2,1,1)x(2,2,2)180 
0.3947320 
OK 
OK 
*** 
Methone 
ARIMA(2,0,2)x(2,2,1)180 
0.0023547 
*** 
*** 
*** 
Naxos 
ARIMA(1,1,2)x(2,2,0)180 
0.0000037 
*** 
OK 
OK 
Rhodes 
ARIMA(0,1,0)x(2,2,2)180 
0.0001758 
*** 
OK 
OK 
Samos 
ARIMA(1,1,1)x(1,2,0)180 
0.0002198 
*** 
OK 
OK 
Serres 
ARIMA(1,1,1)x(2,1,0)180 
0.0028237 
*** 
OK 
OK 
Skyros 
ARIMA(2,1,2)x(2,1,2)180 
0.4102889 
OK 
OK 
*** 
OK 
** 
Tanagra 
ARIMA(1,1,1)x(2,1,0)180 
0.0170188 
*** 
OK 
Tatoi 
ARIMA(2,1,1)x(2,2,2)180 
0.0011950 
OK 
OK 
OK 
Thera 
ARIMA(1,1,1)x(2,2,0)180 
0.00054447 
*** 
OK 
OK 
Thessalonike 
ARIMA(1,2,2)x(2,2,2)180 
0.00002195 
OK 
* 
*** 
Tripolis 
ARIMA(1,1,1)x(2,1,1)180 
0.00001420 
*** 
OK 
OK 
RMSE = Root Mean Squared Error RUNS = Test for excessive runs up and down RUNM = Test for excessive runs above and below median AUTO = Box-Pierce test for excessive autocorrelation MEAN = Test for difference in mean 1st half to 2nd half VAR = Test for difference in variance 1st half to 2nd half OK = not significant (p >= 0.05) * = marginally significant (0.01 < p <= 0.05) ** = significant (0.001 < p <= 0.01) *** = highly significant (p <= 0.001)
Residual Autocorrelations for adjusted Col_1 
ARIMA(2,1,1)x(2,2,2)180 
0 5 10 15 20 25 
lag 
-1 
-0.6 
-0.2 
0.2 
0.6 
1 
Autocorrelations 
Residual Autocorrelations for adjusted SPI 12 
ARIMA(0,1,1)x(2,2,0)180 
0 5 10 15 20 25 
lag 
-1 
-0.6 
-0.2 
0.2 
0.6 
1 
Autocorrelations 
Residual Normal Probability Plot 
ARIMA(0,1,1)x(2,2,0)180 
-8 -4 0 4 8 
(X 1.E-18) 
Residual 
0.1 
1 
5 
20 
50 
80 
95 
99 
99.9 
percentage 
Residual Normal Probability Plot 
ARIMA(0,0,0)x(2,2,2)180 
-0.1 0.3 0.7 1.1 1.5 1.9 2.3 
Residual 
0.1 
1 
5 
20 
50 
80 
95 
99 
99.9 
percentage
Will be Drought year the 2015?
NORMAL โ€“ WET CONDITIONS IN AUTUMN OF 2017
Conclusions 
โ€ขSeasonal ARIMA (15 years seasonal length) suggests: 
๏ƒผExtreme drought conditions the year 2015 (Cyclades islands, Dodecanese islands & Northern Greece) 
๏ƒผNormal โ€“ Wet condition the year 2017 
โ€ขThe present effort, as part of other pertinent research, point towards that certain drought events may be anticipated with some certainty. 
โ€ขThe results produced by ARIMA model may be trusted up to a degree, since forecasting of complex and random variables seems generally elusive. 
โ€ข This may be of great value since the forecasting processes can be used for early warning mechanisms developed as parts of drought contingency planning, monitoring and integrated management. 
โ€ข Such mechanisms may be able to minimize the impacts of the various drought events while increasing the areaโ€™s absorbing capacity.

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Joint GWP CEE/DMCSEE training: From Drought Management Strategies to Drought Management Policies by Christos Karavitis

  • 1. Agricultural University of Athens, Hellas Christos A. Karavitis Ass. Professor, Water Resources Management Sector of Water Resources Management Dep. of Agricultural Engineering AUA From Drought Management Strategies to Drought Management Policies
  • 2. From Drought Management Strategies to Drought Management Policies THE TRANSFORMING ฮ•NVIRONMENT TRENDS AND DEVELOPMENTS PREPARING THE SYSTEM OF THE 21ST CENTURY SHIFTING PARADIGMS IN THEORY & PRACTICE SPECULATING ABOUT THE FUTURE
  • 3. Definition of Drought A creeping phenomenon, a โ€œnon-eventโ€ A source of confusion in devising an objective definition may be that drought implies a variety of things to various professionals according to the specialized field of study (meteorology, hydrology, water resources, agriculture etc.). โ€ขOperational definitions attempt to demarcate the severity, onset and termination point of droughts โ€ขConceptual definitions attempt to identify the boundaries of the drought event
  • 4.
  • 5. Drought โ€ขa usually unexpected and unpredicted time period of abnormal dryness which affects water supply" (Grigg, N.S., 1988). โ€ขThe state of adverse and wide spread hydrological, environmental, social and economic impacts due to less than generally anticipated water quantities (Karavitis, 1992)
  • 6. Social and Economic Drought / Water resources Engineering โ€ขGap between supply and demand of economic goods such as โ€“water, โ€“food, โ€“raw materials, โ€“hydroelectric power, โ€“transportation โ€ขdepends on the time and space processes of supply and demand โ€ขSocial Stresses โ€“ Economic impacts
  • 7. From Drought Management Strategies to Drought Management Policies THE TRANSFORMING ฮ•NVIRONMENT TRENDS AND DEVELOPMENTS PREPARING THE SYSTEM OF THE 21ST CENTURY SHIFTING PARADIGMS IN THEORY & PRACTICE SPECULATING ABOUT THE FUTURE
  • 8.
  • 9.
  • 10. Cook et al., 2004 Percent area affected by drought (PDSI) Western States, USA.
  • 11. J Sheffield et al. Nature 491, 435-438 (2012) doi:10.1038/nature11575 Global average time series of the PDSI and area in drought. Little change in global drought over the past 60 years a, PDSI_Th (blue line) and PDSI_PM (red line). b, Area in drought (PDSI <โˆ’3.0) for the PDSI_Th (blue line) and PDSI_PM (red line). The shading represents the range derived from uncertainties in precipitation (PDSI_Th and PDSI_PM) and net radiation (PDSI_PM only). Uncertainty in precipitation is estimated by forcing the PDSI_Th and PDSI_PM by four alternative global precipitation data sets. Uncertainty from net radiation is estimated by forcing the PDSI_PM with a hybrid empiricalโ€“satellite data set and an empirical estimate. The other near- surface meteorological data are from a hybrid reanalysisโ€“observational data set. The thick lines are the mean values of the different PDSI data sets. The time series are averaged over global land areas excluding Greenland, Antarctica and desert regions with a mean annual precipitation of less than 0.5 mm dโˆ’1
  • 12. The Greenland temperature proxy during the Holocene Reconstructed from the GISP2 Ice Core (Alley, 2000, 2004). Data from: ftp.ncdc.noaa.gov/pub/data/paleo/icecore/greenland/summit/gisp2/isotopes/gisp2_temp_accum_alley2000.txt -1.5-0.50.51.52.53.501000200030004000500060007000800090001000011000Years before present Temperature departure (oC) 20-year scale (interpolated) 500-year average2000-year averageMedieval warm periodLittle ice ageRoman climate optimumMinoan climate optimum
  • 14.
  • 15.
  • 16.
  • 17. From Drought Management Strategies to Drought Management Policies THE TRANSFORMING ฮ•NVIRONMENT TRENDS AND DEVELOPMENTS PREPARING THE SYSTEM OF THE 21ST CENTURY SHIFTING PARADIGMS IN THEORY & PRACTICE SPECULATING ABOUT THE FUTURE
  • 18. โ€ขPrevailing crisis management attitude โ€ขNatural Hazards Emergency Response Procedures โ€ขProtocols for Processes and Procedures โ€ขCreate a wider menu of options and alternatives Why are Drought Contingency Policies Needed?
  • 19. Crisis Management Risk/Adaptive Management NMMC, 2004; Karavitis, C. A., . E. C. Vlachos and N. S. Grigg, 2005 Preparedness Mitigation Reconstruction Recovery Response Impact Assessment Disaster Prediction Warning
  • 20.
  • 21. Analysis for a Risk Management Framework
  • 22. Adaptation Planning Source: IPCC Dr. Thomas E. Downing (SEI)
  • 23. First Plenary meeting 22-25 November - Nauplion 2011 FP7 Tomorrowโ€™s answers start today Vulnerability The degree to which a system, subsystem, or system component is likely to experience harm due to exposure to a hazard, either a perturbation or stress/stressor (Turner et.al, 2003) Institution Logo Vulnerability = F(Hazard , Impacts) UN-ISDR, 2004
  • 24. ๏‚งThe vulnerability term is composed of two basic elements: hazard and impacts. Thus, without a hazard or something to be affected, no vulnerability is implied. ๏‚งExposure is also considered to be part of vulnerability though sometimes it is conceived as the relation that connects the system to the concerning hazard. ๏‚งGenerally, vulnerability refers to the factors that affect both the systems likelihood to be harmed and the systemโ€™s ability to cope. ๏‚งDrought vulnerability depends both on the sector of concern where drought is applied on (agriculture, industry, etc.) and the system of interest.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30. From Drought Management Strategies to Drought Management Policies THE TRANSFORMING ฮ•NVIRONMENT TRENDS AND DEVELOPMENTS PREPARING THE SYSTEM OF THE 21ST CENTURY SHIFTING PARADIGMS IN THEORY & PRACTICE SPECULATING ABOUT THE FUTURE
  • 31.
  • 32. Primary Meteorological, Agricultural or Hydrological Drought Indices โ€ขPercent of Normal โ€ขDeciles โ€ขPalmer Drought Index โ€“PDSI, PHDI, CMI โ€ขSurface Water Supply Index โ€ขStandardized Precipitation Index (SPI) โ€ขReconnaissance Drought Index (RDI) โ€ขVegetation indices (NDVI, VCI, SVI) โ€ขU.S. Drought Monitor โ€“Composite index approach
  • 33. Relation between SDVI & drought aspects (DMCSEE, 2011)
  • 34. Methodological Framework โ€ขDrought Impact database โ€ขImpact assessment-Resilience โ€ขVulnerability assessment โ€ขVulnerability visualization
  • 35. Steps 1. SPI 6 and SPI 12 calculation and Kriging 2. Supply and Demand Data 3. Impact Data 4. Infrastructure Data on the Level of deficiency 5. Index Calculation 6. Index Visualization
  • 36. Drought Vulnerability Index The SDVI is composed of six components in four categories: 1. cSPI-12 representing the non-agricultural water availability (hydropower, households and tourism) and cSPI-6 portraying the agricultural (irrigation) use, respectively. Their values are calculated on local (meteorological station) scale. 2. Supply and Demand that describe the deficits in supplying capacity (network operation and losses) and in demand coverage. Their magnitude depends on the available and delivered amount of water. 3. Impacts that describe the losses (transformed into monetary units) that might have been caused due to the supply โ€“ demand deficiencies.
  • 37. Drought Vulnerability Index 4. Infrastructure that describes the existing infrastructure level of development regarding the level of deficiency (divergence from the designed supply capacity). The values of the components included in the last three categories are calculated on a basin or sub-basin scale (in the case of infrastructure, average values are used). The assessment is based on a synthetic SPI-based Drought Vulnerability Index (SDVI) that was developed by Agricultural University of Athens (2011), in the context of Drought Management Centre in South-eastern Europe (DMCSEE Project-eu).
  • 39. Drought Vulnerability Index The assessment is based on a synthetic SPI-based Drought Vulnerability Index (SDVI) that was developed by Agricultural University of Athens, in the context of Drought Management Centre in South-eastern Europe (DMCSEE Project , 2011). . ํ‘†ํทํ‘‰ํผ= ํ‘†ํ‘ํ‘Žํ‘™ํ‘’ํ‘‘ ํ‘‰ํ‘Žํ‘™ํ‘ขํ‘’ ํ‘œํ‘“ ํ‘กโ„Žํ‘’ ํถํ‘œํ‘šํ‘ํ‘œํ‘›ํ‘’ํ‘›ํ‘กํ‘  ํ‘ ํ‘ ํ‘–=1 The equation implies that all the components are equally weighted.
  • 40. Lower Upper Relative Cumulative Cum. Rel. Class Limit Limit Midpoint Frequency Frequency Frequency Frequency at or below 0 0 0.0000 0 0.0000 1 0 0.5 0.25 24 0.0563 24 0.0563 2 0.5 1.0 0.75 64 0.1502 88 0.2066 3 1.0 1.5 1.25 189 0.4437 277 0.6502 4 1.5 2.0 1.75 125 0.2934 402 0.9437 5 2.0 2.5 2.25 23 0.0540 425 0.9977 6 2.5 3.0 2.75 1 0.0023 426 1.0000 above 3.0 0 0.0000 426 1.0000 SENSITIVITY ANALYSIS & CLASSIFICATION
  • 42. Methodology used 7 Case studies were selected located in: 1.Bulgaria 2.F.Y.R.O.M. 3.Hellas 4.Hungary 5.Montenegro 6.Serbia 7.Slovenia
  • 43.
  • 44.
  • 45.
  • 46.
  • 47. โ€ขWater Stress Vulnerability Index (WStVI) โ€ขWater Scarcity Vulnerability Index (WScVI) โ€ขDrought Vulnerability Index (DVI) For each point (sub-area), the web tool can automatically calculate: 1.3 - Calculation + Visualization 47
  • 49. Selection & Classification of Indicators for DVI Non VulnerableLess VulnerableMedium VulnerableHighly VulnerableExtremely VulnerableExceptionally Vulnerable012345Coefficient of variation of precipitation (%)< 2020 to 3030.1 to 3535.1 to 4040.1 to 50> 50Dryness Ratio (%)< 2020 to 3030.1 to 4040.1 to 5050.1 to 65> 65SPI 1> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 3> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 6> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 9> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 12> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00SPI 24> 0.50-0.49 to 0.49-0.50 to -0.99-1.00 to -1.49-1.50 to -1.99< -2.00Vegetation cover of basin area (%)> 8079.9 to 7069.9 to 6059.9 to 5049.9 to 35.0< 35Total Rate of Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Domestic Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Industrial Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Agricultural Coverage (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Coverage of Other Uses (%)10099.9 to 95.0094.9 to 9089.9 to 8584.9 to 80< 80Change in Total Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Domestic Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Industrial Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Agricultural Coverage (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Change in Coverage for Other Uses (%)> 33 to 0.10-0.1 to -3-3.1 to -5.0> -5Population Density (No/km2)< 19.119.1 to 50.050.1 to 90.090.1 to 150.0150.1 to 250.0> 250Population Growth (%)< 00 to 0.60.61 to 1.101.11 to 1.60 1.61 to 2.00>2.00....... ....... ....... Drought Vulnerability Indicators (WStVI)
  • 50. Calculation of Indicators (75 Indicators) RSPI1 RSPI3 RSPI6 RSPI9 RSPI12 RSPI24 AGRGDP AGRGROW AcSan ChAcSan AgrPr ChAgrPr CosWatExTr . . . 2 1 1 1 1 1 5 1 4 0 0 3 5 . 1 0 2 1 1 1 5 1 4 0 0 3 5 . 0 1 1 1 1 1 5 1 4 0 0 3 5 . 0 1 1 1 1 1 5 1 4 0 0 3 5 . 2 4 2 2 1 2 5 1 4 0 0 3 5 . 2 2 1 1 1 2 5 1 4 0 0 3 5 . 3 1 1 1 1 1 5 1 4 0 0 3 5 . 0 1 1 1 1 1 5 1 4 0 0 3 5 . 1 1 1 1 1 2 5 1 4 0 0 3 5 . 1 1 1 1 0 3 5 1 4 0 0 3 5 . 1 1 1 1 1 3 5 1 4 0 0 3 5 . 0 1 1 1 1 3 5 1 4 0 0 3 5 .
  • 51. Correlation matrix & Descr. Stats for DVI (52 Indicators) SPI 1 SPI 3 SPI 6 SPI 9 SPI 12 SPI 24 Population Density (No/km2) Population Growth (%) Agricultural Growth (%) Industrial Productivity ($/m3) Change in Industrial Productivity (%) Agricultural Productivity ($/m3) Total Use of Reclaimed Water (Ratio) Change in Agricultural Productivity (%) Total Stored Water (hm3) Change in Stored Water (%) Gross Domestic Product ($/capita) Water Supplied Population (%) Change in Supplied Population (%) Tourists Accomodation (Days) Tourists Density (No/km2) Population under Poverty (%) Change in Population Under Poverty (%) Water Governance (Q) Wastewater Governance (Q) Degree of Preparedness (Q) Status of Water Supply Infrastructure (Q) Status of Wastewater Treatment and Supply Infrastructure (Q) Change in Use of Reclaimed Water (%) Legal Framework (Q) Financial Framework (Q) Institutional Framework (Q) Policy Framework (Q) Index of Inflow (%) Storage Capacity per capita (m3/capita) Distribution Network Efficiency (%) Share of water use by agriculture adjusted by the sectorโ€™s share of GDP Share of water use by industry adjusted by the sectorโ€™s share of GDP Irrigated land as % of cultivated land (%) Hydropower Dependence (%) Water charges as percentage of per capita income (%) Literacy rate (%) Economically active population (%) Investments (%GDP) Cost of Water Extraction and Treatment ($/m3) Groundwater development stress indicator (GDSI) Share of domestic supply from conventional freshwater sources (surface & groundwater) Share of agricultural supply from conventional freshwater sources (surface & groundwater) Share of industrial supply from conventional freshwater sources (surface & groundwater) Share of domestic supply from alternative freshwater sources (e.g. reclaimed water) Share of agricultural supply from alternative freshwater sources (e.g. reclaimed water) Share of industrial supply from alternative freshwater sources (e.g. reclaimed water) Change in Use of Reclaimed Water (%)
  • 52. Factor Analysis for Drought Vul. Ind. Component Initial Eigenvalues Extraction Sums of Squared Loadings Total % of Variance Cumulative % Total % of Variance Cumulative % 1 3.187 45.522 45.522 3.187 45.522 45.522 2 1.494 21.349 66.871 1.494 21.349 66.871 3 1.091 15.589 82.461 1.091 15.589 82.461 4 .614 8.777 91.238 5 .358 5.119 96.357 6 .185 2.644 99.001 7 .070 .999 100.000 DVI Indicators weights Index of Flow 0.092 RSPI6 0.166 RSPI12 0.191 Change in Agricultural Productivity (%) 0.078 Change in Industrial Productivity (%) 0.075 Status of Wastewater Treatment and Supply Infrastructure 0.202 Status of Water Supply Infrastructure 0.196
  • 53. SENSITIVITY ANALYSIS & CLASSIFICATION Lower Upper Relative Cumulative Cum. Rel. Class Limit Limit Midpoint Frequency Frequency Frequency Frequency at or below 0 0 0.0000 0 0.0000 1 0 0.714286 0.357143 64 0.0064 64 0.0064 2 0.714286 1.42857 1.07143 1000 0.1000 1064 0.1064 3 1.42857 2.14286 1.78571 3050 0.3050 4114 0.4114 4 2.14286 2.85714 2.5 3630 0.3630 7744 0.7744 5 2.85714 3.57143 3.21429 1808 0.1808 9552 0.9552 6 3.57143 4.28571 3.92857 412 0.0412 9964 0.9964 7 4.28571 5.0 4.64286 36 0.0036 10000 1.0000 above 5.0 0 0.0000 10000 1.0000 Classes No Vulnerability 0 Very Low Vulnerability 0.72 1.42 1 Low Vulnerability 1.43 2.14 2 Medium Vulnerability (At Risk) 2.15 2.86 3 High Vulnerability 2.87 3.57 4 Very High Vulnerability 3.58 4.28 5 Extreme Vulnerability 6 Drought Vulnerability Index <0.71 >4.29
  • 54. The results for the whole study area can then be represented on the visualization Platform (eg: using Kriging - regression) 1.3 - Calculation + Visualization 54
  • 55. After this initial analysis, the web tool will allow the end- -user to deeply analyze/improve the vulnerable subareas, towards possible WR&R: 2 - WR&R Evaluation and Policy options 55
  • 56. From Drought Management Strategies to Drought Management Policies THE TRANSFORMING ฮ•NVIRONMENT TRENDS AND DEVELOPMENTS PREPARING THE SYSTEM OF THE 21ST CENTURY SHIFTING PARADIGMS IN THEORY & PRACTICE SPECULATING ABOUT THE FUTURE
  • 57. Nevertheless, the major challenge for any drought related research may be the development of comprehensive and effective drought management and decision making schemes. In such quests, forecasting may provide some helpโ€ฆ
  • 58. โ€ขTraditional Planning โ€“ Assumes stationary climate โ€“Uses recorded weather and hydrology times series โ€“Cylinder of Certainty Cone of Uncertainty 58 Adapted from Malcolm Pirnie,2009 Present Recorded Variability Future ๏‚— Updated Planning Methods ๏‚—Hundreds of possible climate scenarios ๏‚—Multi-outcome planning ๏‚—Robust over optimal
  • 59. Scenario Planning โ€ขSmall number of equally likely scenarios [A, B, C, D] โ€ขCommon strategies (no regrets) โ€ขSign posts 59 A B C D Sign Post Present Future
  • 60. Robust Decision Making โ€“CIS analysis of many plausible likely scenarios โ€“Iteration and hedging 60 Present Future
  • 61. DROUGHT FORECASTING โ€ขStatistical predictions: based on lagged relationships between regional meteorological patterns (i.e. rainfall) and actual data. โ€ขProbabilistic predictions: by trying to estimate the mathematical probability of a given phenomenon in a certain time frame based usually on analysis of time series data. โ€ขDeterministic predictions: which attempt to model important features of the existing system and provide a basis for contingency analysis through simulation
  • 62. Greece is highly dependent on the annual rainfall patterns resulting that any precipitation deficit may cause most of the time significant impacts on the economy, societal activities and the environment. A series of such deficits have occurred during the last decades (e.g. 1989-90, 1993, 2000, 2003, 2007) characterizing Greece as drought prone, exposing economy to threats and leaving it vulnerable to loses.
  • 63. Mean Annual Precipitation 1947-2011 ฮ•ฮœฮ™ฮค, AUA, 2011
  • 64.
  • 65.
  • 67. TECHNICAL SUPPORT TO THE CENTRAL WATER AGENCY FOR THE DEVELOPMENT OF A DROUGHT MASTER FOR GREECE AND AN IMMEDIATE DROUGHT MITIGATION PLAN Contract No. 10889/11/07 /2007 Ministry of Planning, Public Works and the Environment To Water Resources Management Sector, Department of Natural Resources and Agricultural Engineering, Agricultural University of Athens Co-ordinator Christos A. Karavitis Submitted on October 2008
  • 68. the Seasonal ARIMA Model (Auto Regressive /Integrated/Moving Average) has been applied for forecasting
  • 69. Forecasting Methodology 52 stations 24 station at Central Greece for January 2007 Application for all Greece 33 stations
  • 70. Validation model (Seasonal ARIMA 15 years)
  • 71. Station X Y Period Average Standard deviation Minimum Maximum Stnd. skewness Stnd. kurtosis Agia Triada 405136 4244800 1981-2010 986.56 220.27 534.3 1382.7 -1.10 -0.30 Amfissa 358886 4265827 1981-2010 681.94 161.66 328.4 1025.7 0.34 0.42 Gravia 363497 4280548 1981-2010 822.31 143.23 431.3 1048.9 -1.87 0.80 Davlia 389166 4248703 1981-2010 770.83 153.20 463.5 1062.1 -0.63 -0.89 Distomo 383406 4253888 1981-2010 605.78 121.66 329.4 821.7 -0.78 -0.45 Eptalofos 367725 4273077 1981-2010 972.64 221.66 612.1 1420.1 0.41 -1.22 Zilefto 349557 4310404 1981-2010 394.19 166.89 96.9 835.7 0.93 0.22 Thisvi 409381 4233654 1981-2010 458.00 149.83 185.6 874.9 0.93 0.90 Itea 363056 4254654 1981-2010 377.45 119.48 187.7 660.9 0.80 -0.53 Kalithea 451708 4238840 1981-2010 468.85 157.18 0 753.6 -1.35 1.61 Kaloskopi 354830 4282551 1981-2010 879.01 235.07 568.0 1740.1 4.01 5.87 K.Tirothea 388071 4274616 1981-2010 655.60 129.32 388.8 991.9 0.31 0.84 Lamia 361050 4306493 1981-2010 538.38 115.08 328.0 870.5 1.12 1.27 Livadia 400880 4254100 1981-2010 737.21 156.38 414.1 1037.8 0.51 -0.43 Lilea 369237 4276752 1981-2010 848.55 335.74 0 1272.4 -3.59 2.44 Pavlos 421355 4264972 1981-2010 479.07 160.67 82.5 741.5 -0.86 -0.23 Trilofo 345367 4317887 1981-2010 598.79 126.42 373.0 826.5 0.72 -0.85 Tymfristos 319174 4309189 1981-2010 1022.99 382.17 141.0 1713.3 -1.55 0.09 Elliniko 475537 4194336 1981-2010 363.63 96.39 155.4 546.6 -0.82 0.06 Asteroskopio 475089 4202597 1981-2010 397.06 138.72 150.6 896.0 3.30 5.36 Elefsina 440916 4212390 1981-2010 344.17 91.06 117.4 468.3 -1.48 -0.16 Tatoi 480783 4218209 1981-2010 435.09 153.46 169.6 812.7 -0.03 -0.15 Filladelphia 477479 4210345 1981-2010 452.17 177.52 180.5 1015.5 2.95 3.35 Ypati 346524 4303061 1981-2010 790.74 293.18 327.6 1431.0 0.98 -0.57
  • 72.
  • 73. Adopted Methodology Drought event in 2007โ€ฆ 1.Based on the available raw data obtained from twenty-four meteorological stations and for a calibration period of thirty years (1981 โ€“ 2010), the SPI (3, 6, 9, 12 and 24) values were calculated on a monthly scale. 2.The SPI values from January, 1981 to December, 2006 were used as input data in the ARIMA (Auto Regressive /Integrated/Moving Average) model for a forecasting period of three months (January โ€“ March, 2007) to be developed. 3.Comparative analysis of Steps 1 and 2
  • 74.
  • 75.
  • 76.
  • 77. Divergence of the projected SPI 6 values compared to the observed ones
  • 79. Station X Y Period Average St. Deviation Coeff. of variation Minimum Maximum Stnd. skewness Stnd. kurtosis Agrinio 268875.16 4275530.28 1947-2012 891.31 225.80 0.25 388.60 1463.90 0.25 -0.74 Aktion 219283.86 4312709.01 1971-2012 873.47 179.94 0.21 504.40 1251.40 0.21 -0.87 Alexandroupolis 662821.24 4523618.93 1947-2012 540.44 134.46 0.25 275.70 905.90 0.91 -0.60 Anchialos 396082.70 4342228.76 1956-2012 491.37 116.95 0.24 288.30 847.00 2.29 0.61 Andravida 261465.38 4199167.76 1959-2012 778.55 178.68 0.23 325.60 1160.00 -0.73 -0.10 Arta 240224.50 4338878.73 1976-2012 1082.74 232.05 0.21 493.70 1509.90 -0.51 -0.26 Asteroskopio 475089.38 4202597.25 1858-2012 394.97 111.63 0.28 115.70 896.00 5.72 9.20 Chania 512901.68 3932269.85 1959-2012 633.32 171.80 0.27 287.50 977.20 1.12 -1.12 Chios 687028.85 4245693.86 1974-2012 562.24 158.66 0.28 110.30 857.80 -0.98 0.69 Elefsina 440915.88 4212389.83 1951-2012 377.89 111.36 0.29 117.40 740.40 2.00 2.66 Hellenicon 476989.70 4193354.66 1948-2012 367.81 92.76 0.25 155.40 560.30 0.17 -0.30 Heraclion 607395.45 3910363.07 1947-2012 478.71 117.08 0.24 261.80 793.90 0.78 -0.35 Ioannina 227392.02 4398141.29 1950-2012 1096.80 247.13 0.23 490.70 1708.20 0.18 -0.22 Kalamata 324360.97 4102811.24 1971-2012 766.62 167.77 0.22 288.00 1082.30 -1.90 0.82 Kastoria 269220.67 4480918.49 1981-2012 554.86 138.64 0.25 281.47 882.94 0.53 0.11 Kerkyra 147783.91 4391112.67 1947-2012 1119.05 246.07 0.22 620.80 1636.30 0.29 -1.04 Konitsa 256042.84 4462236.91 1955-2012 922.17 304.21 0.33 209.80 1642.00 -0.12 -0.08 Lamia 360383.21 4300968.99 1956-2012 571.76 151.69 0.27 159.28 973.80 0.93 1.69 Larisa 366008.76 4389788.05 1949-2012 431.64 109.36 0.25 211.30 772.50 1.68 1.44 Lesvos 725179.25 4325645.06 1952-2012 642.64 158.24 0.25 246.30 931.30 -0.86 -0.30 Lymnos 605166.73 4419248.05 1968-2012 513.19 175.49 0.34 211.86 970.01 1.32 0.13 Melos 538541.95 4065090.13 1950-2012 407.68 125.18 0.31 69.10 774.80 0.86 1.56 Methone 295151.20 4077583.50 1967-2012 647.01 133.53 0.21 389.66 969.79 0.84 0.03 Rhodes 866517.69 4035914.60 1955-2012 670.42 180.79 0.27 310.70 1112.50 1.11 -0.38 Samos 756986.43 4175249.62 1978-2012 701.20 189.14 0.27 353.00 1064.50 0.08 -1.04 Serres 463452.85 4547812.89 1956-2012 483.42 121.38 0.25 137.30 858.40 1.46 3.10 Skyros 541787.38 4312174.03 1931-2012 471.83 163.61 0.35 159.80 879.50 0.41 -1.13 Tanagra 461951.48 4243016.32 1960-2012 471.21 123.20 0.26 175.60 775.60 0.20 0.10 Tatoi 480783.38 4218208.89 1952-2012 461.30 132.27 0.29 169.60 812.70 -0.18 0.76 Thera 632478.91 4029392.55 1961-2012 324.92 124.81 0.38 16.40 562.90 -0.46 -0.14 Thessalonike 412412.02 4485367.97 1959-2012 454.77 97.97 0.22 248.94 722.87 0.82 -0.09 Tripolis 358423.25 4154541.74 1949-2012 733.92 185.95 0.25 251.98 1192.80 0.04 0.21
  • 80. Station Model RMSE RUNS RUNM AUTO MEAN VAR Agrinio ARIMA(2,0,1)x(2,1,2)180 0.101624 OK OK *** OK * Aktion ARIMA(1,1,2)x(1,2,0)180 0.201477 *** OK Alexandroupolis ARIMA(2,0,2)x(1,1,2)180 0.186691 OK OK *** ** OK Anchialos ARIMA(1,1,2)x(2,2,0)180 0.431217 *** OK OK Andravida ARIMA(1,1,2)x(2,1,0)180 0.135341 *** OK OK Arta ARIMA(2,0,2)x(2,1,2)180 0.249207 OK * *** OK OK Asteroskopio ARIMA(2,0,1)x(2,1,2)180 0.343600 OK OK *** OK ** Chania ARIMA(1,1,1)x(2,2,0)180 0.058688 *** OK OK Chios ARIMA(1,1,2)x(2,0,1)180 0.035345 *** OK OK *** Elefsina ARIMA(2,0,2)x(2,2,1)180 0.138900 OK *** *** OK Hellenicon ARIMA(2,0,2)x(2,2,1)180 0.295673 OK *** *** Heraclion ARIMA(1,1,1)x(1,2,0)180 0.026318 *** OK OK Ioannina ARIMA(1,0,2)x(2,2,1)180 0.322977 *** ** *** Kalamata ARIMA(1,1,2)x(2,1,0)180 0.0000510 *** OK OK Kastoria ARIMA(1,1,1)x(1,1,0)180 0.0014500 * OK OK Kerkyra ARIMA(2,0,1)x(2,2,2)180 0.3864025 OK OK *** Konitsa ARIMA(1,1,1)x(2,1,1)180 0.0020666 *** OK *** Lamia ARIMA(1,1,1)x(2,1,0)180 0.0043118 *** OK OK Larisa ARIMA(2,0,2)x(2,2,0)180 0.02018869 *** *** *** Lesvos ARIMA(1,0,1)x(2,2,2)180 0.00440373 *** *** *** Lymnos ARIMA(1,1,0)x(2,1,0)180 0.0003154 *** OK OK Melos ARIMA(2,1,1)x(2,2,2)180 0.3947320 OK OK *** Methone ARIMA(2,0,2)x(2,2,1)180 0.0023547 *** *** *** Naxos ARIMA(1,1,2)x(2,2,0)180 0.0000037 *** OK OK Rhodes ARIMA(0,1,0)x(2,2,2)180 0.0001758 *** OK OK Samos ARIMA(1,1,1)x(1,2,0)180 0.0002198 *** OK OK Serres ARIMA(1,1,1)x(2,1,0)180 0.0028237 *** OK OK Skyros ARIMA(2,1,2)x(2,1,2)180 0.4102889 OK OK *** OK ** Tanagra ARIMA(1,1,1)x(2,1,0)180 0.0170188 *** OK Tatoi ARIMA(2,1,1)x(2,2,2)180 0.0011950 OK OK OK Thera ARIMA(1,1,1)x(2,2,0)180 0.00054447 *** OK OK Thessalonike ARIMA(1,2,2)x(2,2,2)180 0.00002195 OK * *** Tripolis ARIMA(1,1,1)x(2,1,1)180 0.00001420 *** OK OK RMSE = Root Mean Squared Error RUNS = Test for excessive runs up and down RUNM = Test for excessive runs above and below median AUTO = Box-Pierce test for excessive autocorrelation MEAN = Test for difference in mean 1st half to 2nd half VAR = Test for difference in variance 1st half to 2nd half OK = not significant (p >= 0.05) * = marginally significant (0.01 < p <= 0.05) ** = significant (0.001 < p <= 0.01) *** = highly significant (p <= 0.001)
  • 81. Residual Autocorrelations for adjusted Col_1 ARIMA(2,1,1)x(2,2,2)180 0 5 10 15 20 25 lag -1 -0.6 -0.2 0.2 0.6 1 Autocorrelations Residual Autocorrelations for adjusted SPI 12 ARIMA(0,1,1)x(2,2,0)180 0 5 10 15 20 25 lag -1 -0.6 -0.2 0.2 0.6 1 Autocorrelations Residual Normal Probability Plot ARIMA(0,1,1)x(2,2,0)180 -8 -4 0 4 8 (X 1.E-18) Residual 0.1 1 5 20 50 80 95 99 99.9 percentage Residual Normal Probability Plot ARIMA(0,0,0)x(2,2,2)180 -0.1 0.3 0.7 1.1 1.5 1.9 2.3 Residual 0.1 1 5 20 50 80 95 99 99.9 percentage
  • 82.
  • 83. Will be Drought year the 2015?
  • 84.
  • 85.
  • 86.
  • 87.
  • 88.
  • 89.
  • 90.
  • 91.
  • 92. NORMAL โ€“ WET CONDITIONS IN AUTUMN OF 2017
  • 93.
  • 94.
  • 95.
  • 96.
  • 97. Conclusions โ€ขSeasonal ARIMA (15 years seasonal length) suggests: ๏ƒผExtreme drought conditions the year 2015 (Cyclades islands, Dodecanese islands & Northern Greece) ๏ƒผNormal โ€“ Wet condition the year 2017 โ€ขThe present effort, as part of other pertinent research, point towards that certain drought events may be anticipated with some certainty. โ€ขThe results produced by ARIMA model may be trusted up to a degree, since forecasting of complex and random variables seems generally elusive. โ€ข This may be of great value since the forecasting processes can be used for early warning mechanisms developed as parts of drought contingency planning, monitoring and integrated management. โ€ข Such mechanisms may be able to minimize the impacts of the various drought events while increasing the areaโ€™s absorbing capacity.