Research Article
Disaggregation of Statistical Livestock Data
Using the Entropy Approach
António Xavier,
1
Maria de Belém Costa Freitas,
1
and Rui Fragoso
2,3,4
1
Faculdade de Ciˆ encias e Tecnologias, Universidade do Algarve, Edif´ ıcio 8, 8005-139 Faro, Portugal
2
Universidade de
´
Evora (UE), Centro de Estudos e Formac ¸˜ ao Avanc ¸ada em Gest˜ ao e Economia Tecnologias,
7000-809
´
Evora, Portugal
3
Department of Management, Universidade de
´
Evora, 7000-809
´
Evora, Portugal
4
Instituto de Ciˆ encias Agr´ arias e Ambientais Mediterrˆ aneas, Universidade de
´
Evora, 7000-809
´
Evora, Portugal
Correspondence should be addressed to Ant´ onio Xavier; amxav@sapo.pt
Received 30 January 2014; Accepted 2 May 2014; Published 3 June 2014
Academic Editor: Konstantina Skouri
Copyright © 2014 Ant´ onio Xavier et al. Tis is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A process of agricultural data disaggregation is developed to address the lack of updated disaggregated data concerning main
livestock categories at subregional and county level in the Alentejo Region, southern Portugal. Te model developed considers that
the number of livestock units is a function of the agricultural and forest occupation, and data concerning the existing agricultural
and forest occupation, as well as the conversion of livestock numbers into normal heads, are needed in order to fnd this relation.
Te weight of each livestock class is estimated using a dynamic process based on a generalized maximum entropy model and on a
crossentropy minimization model, which comprises two stages. Te model was applied to the county of Castelo de Vide and their
results were validated in cross reference to real data from diferent sources.
1. Introduction
Disaggregated statistical information is necessary to have a
correct analysis of spatial patterns inside each country, but
data on agricultural and forest occupation and production are
frequently found only at national and subnational level [1–4],
and ofentimes this problem does not have an appropriate and
accurate solution.
In Portugal, southern Europe, apart from the general
lack of data on agricultural and forest occupation, there is
a need for up-to-date data on livestock numbers [2]. Only
the General Agricultural Census (GAC), conducted by the
National Institute of Statistics (NIS) every 10 years, features
information at disaggregated level by subregion, county, and
parish. Te other information sources display information
merely according to agrarian regions and NUTS II [5, 6]. Even
the diferent agents operating in the territory do not have
more detailed data, and only the health veterinary entities
have some more accurate data for nowadays, which is not
accessible to all.
However, planning and devising of a clear and sustain-
able rural development policy call for the availability of
disaggregated information [4], at least when it comes to the
numbers of livestock intended for breeding, mainly in regions
where these variables have a great importance for the farmers’
income.
Afer the entrance of Portugal into the European Union,
the Alentejo region, southern Portugal, has come under the
infuence of diferent policies and as a consequence there
are several inland rural areas with problems and in decline,
as well as the extensifcation of agricultural activities [7]. In
this region, the importance of livestock breeding activity is
unquestionable [8].
A particular county where there is a tendency towards
demographic decrease is Castelo de Vide located in the
NUTS II of Alto Alentejo. Several teams from the Uni-
versity of
´
Evora have performed depth studies and identi-
fed this county as a case study about the decline process
of the inland counties of the NUTS II of Alto Alentejo.
Here, there is a need for data on extensive livestock for
Hindawi Publishing Corporation
Advances in Operations Research
Volume 2014, Article ID 397675, 9 pages
http://dx.doi.org/10.1155/2014/397675