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TRANSCRIPT
QUANTITATIVE ESTIMATION OF DROUGHT RISK IN UKRAINE USING SATELLITE
DATA
Sergii Skakun1, Nataliia Kussul
1,2, Olga Kussul
2, Andrii Shelestov
1,2,3
1Space Research Institute NAS Ukraine and SSA Ukraine;
2National Technical University of Ukraine
“Kyiv Polytechnic Institute”; 3
National University of Life and Environmental Sciences of Ukraine
ABSTRACT
In this paper, we focus on quantitative drought risk
assessment using satellite data. Methods of the extreme
value theory (EVT) are applied for a time-series of
vegetation health index (VHI) derived from NOAA satellites
in order to provide drought hazard mapping. For this, a
Poisson-GP (Generalized Pareto) model is applied for
modelling VHI extreme values. The model allows estimation
and mapping of return periods of different categories of
drought severity. An approach to economical risk
assessment due to droughts is presented. The derived
drought hazard map is integrated with high resolution crop
map to provide final estimates of risk. The proposed
approach is implemented for quantitative assessment of
drought risk for the Kyiv region in Ukraine.
Index Terms— risk, drought, agriculture, satellite data,
Ukraine.
1. INTRODUCTION
Over last decades there has been an upward global trend in
natural disaster occurrence. Hydrological and
meteorological disasters, such as floods and droughts, are
the main contributors to this pattern [1]. Droughts are one of
the most dangerous and complex natural hazards. Unlike
other extreme phenomena, droughts usually develop slowly,
with no a clear onset, and do not have a direct structural
impact.
There are several types of droughts [2]: meteorological
(lack of precipitation during an extensive period of type),
hydrological (lack of surface and ground waters), and
agricultural (lack of soil moisture that leads to crop
damages). In past years droughts have had a significant
impact on food security in many regions [1]. In recent years
a risk-oriented approach for managing the risks of disasters
has been adopted [1], [3]-[6]. To enable drought risk
assessment, corresponding drought hazard and drought risk
maps should be developed. Drought risk is a function of two
arguments: hazard probability and vulnerability. In other
words, risk is a mathematical expectation of vulnerability
(consequences) function [3]. A traditional approach to assess
drought hazard is to analyze rainfall, temperature and soil
moisture measurements from meteorological stations using,
for example, extreme value theory (EVT) [7]. A number of
ground-based indicators have been developed to identify
droughts, e.g. PDSI (Palmer drought severity index) [8], SPI
(Standardized Precipitation Index) [9], CMI (Crop Moisture
Index) [10], SWSI (Surface Water Supply Index) [11]. The
accuracy of drought hazard estimates from in situ stations is
dependant on the density and uniformity of station location.
Providing a dense spatial coverage of ground measurements
is not always possible due resource constraints. For example,
Ukraine has a network of 180 meteorological stations with
density of a station per 3,225 sq. km which is too coarse.
Alternatively, Earth observation (EO) from space can
provide better spatial resolution with long-term archived
data. Other advantages of EO include human-independent
information, continuous and repetitiveness observations in
space and time, coverage of large areas, operational delivery
of information. EO data can be effectively used for both
drought hazard mapping [5], [12], [14], and drought
vulnerability assessment [15].
In this paper, a new approach to quantitative estimation
of drought risk in Ukraine based on satellite data is
presented. Drought hazard mapping is performed based on
the use of vegetation health index (VHI) derived from
NOAA satellites, and the EVT techniques. Drought
vulnerability is assessed by estimating the crop areas and
crop yield to quantify potential impact of a drought on crop
production. Finally, drought hazard and vulnerability maps
are integrated to derive a drought risk map.
2. STUDY AREA AND MATERIALS DESCRIPTION
Ukraine is one of the most developed agriculture countries
and one of the biggest crop producers in the world [13].
According to the 2011 statistics provided by the U.S.
Department of Agriculture (USDA) Foreign Agricultural
Service (FAS), Ukraine was the 8th largest exporter and
10th largest producer of wheat in the world. Since past
decade Ukraine experienced five droughts (2003, 2007,
2008, 2009 and 2010) that covered between 40% and 60%
of the country and up to 80% of the major grain crop area
[14].
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Vegetation health index (VHI) derived from polar-
orbiting NOAA satellites at 16 km spatial resolution from
1981 to 2012 is used as a main variable [14]. This spatial
resolution enables analysis of droughts at 256 sq. km scale
which is 12 times better than meteorological stations. VHI
data are provided as weekly composites. The reason for
selecting this vegetation index instead of others (e.g. NDVI,
VCI) is that it incorporates moisture and thermal conditions
of vegetation canopy and directly relates to the classification
of the droughts [16]: abnormally dry conditions (36 <=
VHI<= 40); moderate (26 <= VHI<= 35); severe (16 <=
VHI<= 25); extreme (6 <= VHI<= 15); exceptional (0 <=
VHI<= 5).
3. METHODOLOGY
For quantitative drought risk assessment it is necessary to
estimate drought probability (hazard) and potential losses. In
this paper, we focus on agricultural droughts that result in
crop damages, and consequently lead to decrease of crop
production and economical losses. Let z be a parameter that
characterizes a drought. In general, z can be represented
using one of the drought indicators that were previously
developed (e.g. PDSI, SPI, VHI). To estimate potential
losses due to a drought, the following information is
required: damage rate that depends on the parameter z (we
assume that lower z values lead to the larger damage rate);
crop area (geographical distribution of crops in the given
region); expected (potential) crop yield; and cost of crops.
Therefore, drought risk in the area (x, y)∈А can be estimated
as follows:
∑∫ ∫
∫
=
==
k A
z
z
kkkkxy
A
A
dzdxdyvyxsyxyzyxdzp
dxdyyxrR
2
1
),(),(),,()(
),(
, (1)
where pxy(z) is the probability density function (pdf) of
drought occurrence with level z at point (x, y); dk(x, y, z) is
the damage rate of crop k due to the drought with parameter
z (dk(x, y, z)∈[0; 1]); yk(x, y) is the crop yield (t/ha); sk(x, y)
is crop area (ha); vk is the crop cost (USD/t).
In this paper, a Poisson-GP (Generalized Pareto) model
[7] is applied to the time-series of satellite-derived VHI
values to estimate drought pdf function pxy(z). In particular,
for VHI datasets is applied. This model consists of a Poisson
process for modeling the occurrence of exceedance of high
threshold, and a generalized Pareto (GP) distribution for the
excess over the threshold:
( )[ ] γ−
σγ+−=γσ/1
/11),;( xxF . (2)
In order to relax assumption of independence of block
minima, we used cluster minima below a threshold value of
40 that corresponds to vegetation stress. To estimate
parameters of the GP distribution, we applied the maximum
likelihood (ML) method [17]-[19]. For estimating crop area
and crop yield, satellite images were used as well. In
particular, we used Landsat-5 satellite images and ground
area frame surveys for crop area estimation [20]-[23], and
MODIS-derived NDVI values for crop yield forecasting
[24]-[26].
4. RESULTS
The proposed methodology was applied to the VHI datasets
(1981-2012) for the territory of Ukraine. For each pixel of
the images, VHI cluster minima were estimated. The number
of clusters was different for each pixel.
Fig. 1. Example of VHI time-series with cluster minima
(top), and distribution of the number of clusters over
Ukraine (bottom)
Fig. 1 shows an example of VHI time-series with cluster
minima, and distribution of the number of clusters over
Ukraine. For each pixel, GP parameters were estimated.
Based on these parameters it is possible to estimate
return period (and correspondingly probability) of a drought
with specified VHI level. Fig. 2 shows return period for the
exceptional droughts (VHI < 5), and the VHI values for the
return period of 20 years (corresponds to the probability of
0.05).
Using the obtained estimates for drought probability,
crop maps for the region of Kyivska oblast in Ukraine and
Eq. (1), we estimated economical risk of exceptional
droughts. This case study region is selected because of
availability of a high resolution crop map. This map was
produced in 2010 at 30 m resolution using time-series of
Landsat-5 images. In particular, we consider winter wheat
that is a major crop in the region accounting for more than
40% of production of all crops. Therefore, a winter wheat
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mask is extracted from the crop map, and is further used for
drought risk mapping and quantification (Fig. 3).
Fig. 2. Return period (in years) for the exceptional droughts
(top), and VHI values for the return period of 20 years
(bottom)
Fig. 3. Winter wheat crop mask for the Kyiv region derived
from Landsat-5 images in 2010.
Fig. 4. Risk of economical losses due to exceptional
droughts influencing winter wheat in the Kyiv region
accumulated by counties.
All obtained parameters are integrated in Eq. (1) to map
and estimate exceptional drought risk for the Kyiv region
(VHI < 6). The obtained risk values are accumulated for the
counties (Fig. 4) and the whole region. Total risk of
economical losses due to exceptional droughts influencing
winter wheat production for the Kyiv region is estimated at
approximately 19 million USD.
5. CONCLUSIONS
A new approach to quantitative estimation of drought risk in
Ukraine based on satellite data is presented. Vegetation
health index (VHI) derived from NOAA satellites from 1981
to 2012 is used to estimate drought probability density
function. For this, a Poisson-GP (Generalized Pareto) model
is applied. Drought vulnerability is assessed by estimating
the crop areas and crop yield to quantify potential impact of
drought on crop production. Drought hazard and
vulnerability maps are integrated to quantitatively map a
drought risk.
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