Cropped
Area Estimation Using Multi-Temporal MODIS Imagery
Case Study - Kenya's Rift Valley
Jeremy Freund
January, 2005
Background – Spatial
Monitoring of Cropped Area
Famine has been a major focus for scientists
studying semi-arid regions of Africa for many years. An information-based
approach to food insecurity preparedness and planning successfully
analyzes quantifies and evaluates agricultural and climate
processes relating to food production (FEWS NET, 2004). Historically,
remotely sensed precipitation and NDVI imagery have been
used to identify areas with poor expected yields or pastoral
conditions. This study describes some preliminary results
that use MODIS NDVI imagery to estimate cropped area.
Production estimates can be derived by multiplying yield
and area estimates. These production estimates may then be
used to guide national food balance calculations and help
determine food aid requirements. Numerically, we can write
(1)
where P is the food production over area A at average yield,
Y. Crop yields are accurately estimated in semi-arid regions
using grid-cell implementation of the Water Requirement Satisfaction
Index (WRSI) model (Verdin and Klaver, 2002). The WRSI is
driven by satellite rainfall estimates. Cropped area estimation,
however, has yet to fully make use of such data and remains
an arduous undertaking. This paper describes a technique
to quantify cropped area using remotely sensed data. If successful
this will allow more accurate predictions of food production,
and consequently aid in the identification and mitigation
of food security problems.
Study Area - Kenya
This study focuses on the country of Kenya, located in the
Greater Horn region of Africa. Kenya's economy is heavily
dependent on agriculture. “75% of Kenyans make their
living from farming, producing both for local consumption
and for export” (Kenyaweb, 2003). Kenyans employ both
small-scale and large-scale farming, producing mostly maize
and wheat. Because only 15% of Kenya’s land is suitable
for farming – most farms are contained within Kenya’s
Rift Valley – this study will focus on this area.
Goals - Variation about a baseline
The sustainability and ease of implementation of this
effort are of principal importance, as the process should:
- Be repeatable on a yearly basis (applicable to specific
dates within a growing season).
- Be easily disseminated to appropriate local representatives
in developing countries.
- Be simplified and well documented for fast processing.
- Require inexpensive and readily available data to support
repeatability and consistency.
- Be accurate and precise, effectively tracking average
cropped area values, while capturing year-to-year
variation in planting decisions and/or climatalogical effects
on crop growth.
In order to achieve these goals the CHG/FEWS NET research
group is exploring a combination of two distinct methodologies:
- In the first step high-resolution satellite imagery
(ETM+) will be used to create high quality maps of cropped
area for a specific year. This step has high labor and
data requirements, but will only need to be done once.
The ETM+ interpretation phase will provide a baseline
map, providing
an accurate snapshot of cropped area for a given season
in a particular country.
- MODIS-based NDVI analysis will then be used to estimate
year-to-year variations about this mean. This process is
analogous to the combination of WRSI and historical yield
data currently used in agro-meteorological modeling.
This study focuses on the description of the MODIS-based
crop estimation procedure.
Methods – Separation of crop signal using time
series NDVI imagery
Imagery from the Moderate Resolution Imaging Spectroradiometer
(MODIS) is used (250m 16 Day NDVI composites), due to its
strong adherence to all of the above requirements. In small
cropping systems (abundant in semi-arid Africa), there are
many farms and fields smaller than 250m2.
Consequently, many of these pixels may lie on the edge of
a small field, or contain parts of multiple fields, resulting
in mixed pixels.
Spectral Mixture Analysis (SMA) has been used extensively
to unmix a pixel into its various components (Roberts,
1993) when target areas are significantly smaller than a
single pixel.
SMA has typically utilized reflectance spectra, or the feature
space, for 3-4 land cover types in a particular model.
The Normalized Difference Vegetation Index represents greenness as
a measure of the Near Infrared and Red band ratios (Sellers,
1985). I propose a new temporal unmixing approach,
using the NDVI temporal signal to determine spectral contrast
between cropland and other non-anthropogenic vegetation.
An aggregate yearly cropped area value for a particular
area can be attained using this technique.
Fractions of pure endmember pixels are
determined for each pixel in an image, and fractional images
are produced for each endmember. The shape of a temporal
NDVI signature for various land cover types can be predicted
based on its phenological characteristics (Figure 1). Temporal
NDVI signatures are used in the SMA model to separate pixels
into respective percentages of crop cover, non-anthropogenic
vegetation, soil and water, ultimately estimating percentage
of cropped area coverage.
Figure
1– Example of NDVI temporal behavior (phenology) for
different land-cover types
Several independent data sources are simultaneously
used to identify appropriate endmembers for the SMA model,
including temporal NDVI profiles from the MODIS dataset,
a maize density map and LANDSAT imagery over areas in the
Sahel.
Data processing
Each MODIS composite scene was stacked temporally in
a manner optimized to examine and separate 'temporal
profiles',
depicted in Figure 1. Figures 2, 3 and 4 illustrate
the data smoothing algorithm that was performed. Each pixel’s
temporal profile was examined and compared to 2 separate
quality images. The profiles were systematically 'corrected'
(linear interpolation) only if the NDVI quality imagery indicated
a sufficiently poor value for the date in question. By incorporating
NDVI quality information, the smoothing process successfully
eliminated known “bad” data points, while preserving
any authentic, albeit extreme, temporal NDVI trends within
the data. Figure 4 illustrates the improvement in image
quality. While the non-smoothed image on the right contains
multiple data 'craters' (the red marks dotting
the image), the smoothed image on the left has successfully
eliminated these poor quality data points.
These techniques may also provide improved NDVI monitoring tools.

Figure 2– Smoothing
using NDVI 'quality' and 'usefulness' meta-data

Figure 3 – Spectral
snapshot, smoothing using 'quality' and 'usefulness' meta-data
Figure
4 – NDVI
Image before smoothing (left), after smoothing (right)
Techniques – Spectral
Mixture Analysis
Endmember selection
Several independent data sources were simultaneously used
to identify appropriate endmembers for the SMA model, including
temporal NDVI profiles from the MODIS dataset, a maize density
map (high density areas shown in brown shading) and LANDSAT
imagery over Kenya between the years of 2002 and 2004 (Figure
5).

Figure
5 – MODIS (upper left),
Landsat (upper right), temporal NDVI spectra (bottom left)
and sample selected endmembers (bottom right) in Kenya’s
Rift Valley area. Maize high-density overlay is shown in
brown hatch over the MODIS image.
Pure Maize endmembers show expected phenological properties
of a summer-winter dual crop cycle, and are clearly separable
from forest and other non-anthropogenic land cover. Further
analysis is needed to separate single season and dual season
cropped areas, as well as areas sown and harvested
at irregular times.
Preliminary Results
The results shown below are of a preliminary
nature, and are being expanded and validated further. They
are provided here simply as a qualitative assessment of the
outlined methods.
Spectral Mixture Analysis was performed using 3 endmembers:
maize, forest and shade.

Figure 6 SMA Result Image
Figure 6 represents the maize fractional result image
in the Northwest Rift Valley area. The original maize density
map is overlayed (cyan) for validation purposes. The model
clearly identifies areas of highest density maize, and shows
much promise for future quantitative analysis.
Future Work - Validation
The estimation techniques in this report will be
further refined, using known characteristics of local
cropping patterns to incorporate such factors as latitudinal
variation and multiple growing seasons. Also, more exhaustive
and quantitative validation will be performed using cropped
area estimations derived from higher resolution data. Landsat
images will be analyzed and used to compare with the estimates
from MODIS analysis for multiple growing seasons and study
areas. This will allow for validation of not only the spatial
precision of the proposed technique, but its accuracy through
time as well.
This study represents exploratory work. Further investigation
is required – particularly in the areas of endmember
selection and validation. As more is learned about the agricultural
practices in the Rift Valley area, endmember selection will
be modified to accurately depict the phenological properties
of maize. Wheat, an increasingly important crop, will also
be mapped. Large scale SMA has shown deficiencies when phenological
characteristics vary greatly across large areas of study.
The models presented in this study will be subset to account
for localized effects.
If this study is validated, it will provide
a valuable aid in estimating cropped area over large spatial
areas that contain highly mixed areas of cropland and other
vegetation types. These estimates may be used to develop
more accurate and timely estimates of annual food production.
Ultimately, this data may be used to assess food security
stability. Countries at risk for food insecurity are in great
need of timely and accurate crop production assessments.
It is the aim of this study to provide decision makers with
a reliable, low cost and simple method for determining cropped
area, and, ultimately aid in the nutritional stability in
countries throughout in the developing world.
References
FEWS NET Web Site. 12 Dec. 2004.
Famine Early Warning Systems Network. <http://www.ed.gov/index.html>.
KenyaWeb Web Site. 2003. Kenyaweb.com, Inc. <http://www.kenyaweb.com>
Roberts, D.A., Smith, M.O., Adams, J.B. (1993), "Green
Vegetation, Nonphotosynthetic Vegetation, and Soils in AVIRIS
Data," Remote Sensing of Environment, 44:
255-269.
Sellers, P.C. (1985), “Canopy reflectance,
photosynthesis and transpiration”, Inernational
Journal of Remote Sensing, 6:1335-1372.
Verdin, J. and Klaver, R. (2002). “Evaluating
The Performance Of a Crop Water Balance Model in Estimating
Regional Crop Production.” Pecora 15/Land Satellite
Information IV/ISPRS Commission I/FIEOS 2002 Conference Proceedings. 2002.
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