ecological modelling 217 ( 2 0 0 8 ) 174–180
available at www.sciencedirect.com
journal homepage: www.elsevier.com/locate/ecolmodel
Uncertainties in large-scale analysis of agricultural land
use—A case study for simulation of nitrate leaching
Thomas G. Schmidt
a,*
, Uwe Franko
b
, Ralph Meissner
b
a
Institute of Rural Studies, Johann Heinrich von Thünen-Institut (vTI), Federal Research Institute for Rural Areas, Forestry and Fisheries,
Bundesallee 50, 38116 Braunschweig, Germany
b
Department of Soil Physics, Helmholtz Centre for Environmental Research - UFZ, Department of Soil Physics, Theodor-Lieser-Strasse 4,
06120 Halle/Saale, Germany
article info
Article history:
Received 14 December 2007
Received in revised form
30 April 2008
Accepted 12 June 2008
Published on line 18 July 2008
Keywords:
Agricultural land use
Large-scale analysis
Nitrate leaching
Nitrogen Response Unit (NRU)
Uncertainty analysis
abstract
Simulation studies play an important role in predicting the effects of agri-environmental
policies. Management plans for the Water Framework Directive, for example, show how
policy measures can be based on both the absolute effects and the probability of the
achievement of objectives. Here, comprehensive uncertainty analysis is a valuable modern
tool.
In the context of the six most important uncertainties in this study, the article explains
the overall uncertainties of a nitrate leaching model for agricultural land use. Although the
primary input data are ‘natural conditionsˇ ı and ‘land managementˇ ı, there are also variances
caused by model description and upscaling.
The management options in a large number of small farming systems are described
as adapted in a particular region. A variance analysis of the simulated nitrate leaching-
rates by means of the H-test shows significant differences between locations, meaning that
the distribution of results often allows no discrimination between two or several locations
in terms of simulation objects. These locations, similar in nitrate leaching behaviour, are
summarised to so-called Nitrogen Response Units (NRUs). Within these NRUs, a multiple
regression analysis, with the dependent variable ‘nitrate leaching-rate,’ and the independent
variables ‘percentage of cereals in the crop rotation’ and ‘livestock,’ shows the regression
coefficients of each NRU.
A calculation of the mean, or theoretically most probable, nitrate leaching-rate follows: all
distribution patterns of livestock and cereals are combined, and the regression equations
are applied for each NRU. This reveals the range of the possible nitrate leaching-rates in the
area. The mean value, like the average of all possible land use patterns, of this distribution
is taken as the most probable figure. The minimum and maximum values set the limits for
the management distribution of the uncertainty analysis. The overall uncertainties of the
results are determined by the sum of the variances that are calculated by all effects, which
are classified as important. The first application of this new approach was a study region of
about 1000 km
2
in Germany. The nitrate leaching losses were 63kg NO
3
/ha on average with
a range of uncertainty of +59% and -79%.
Crown Copyright © 2008 Published by Elsevier B.V. All rights reserved.
∗
Corresponding author. Tel.: +49 531 596 5507; fax: +49 531 596 5599.
E-mail address: thomas.schmidt@vti.bund.de (T.G. Schmidt).
0304-3800/$ – see front matter. Crown Copyright © 2008 Published by Elsevier B.V. All rights reserved.
doi:10.1016/j.ecolmodel.2008.06.020