Analyzing the efficiency of agricultural crop production by using mathematical models

MARIANA NIKOLLA1*, LUMTURI SENA2, VALBONA KOLANECI2, JONIDA BOU DIB (LEKOCAJ)2, OLTA  SOKOLI2

1Agricultural University of Tirana, Mathematics and Informatics Dept.

 2Agricultural University of Tirana, Tirana, Albania.

*Corresponding author email:  mariana_nikolla@live.com

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Abstract

Pepper (Capsicum annuum L.) is one of the main vegetables cultivated in our country. It covers about 3,000 hectares and occupies an important place in the structure of cultivation. Its cultivation in large areas is done because it firstly is used widely in our traditional cuisine and secondly, provides high incomes per area. The yield per area depends from the agricultural technology implemented, the type of culture and the cultivated areas. In our climate conditions, the pepper is much favorite and can be successfully cultivated in the open field and in protected environments. In the open field the pepper can be cultivated in three directions: For early production, semi-early (middle) and later production, while in protected environments it is cultivated during winter and early spring, where frosts and low temperatures do not allow its growth and production. It is known that for the production of each culture are used various inputs. In this study, in order to analyze the pepper production efficiency cultivated in the greenhouses of Lushnja district, DEA model was used (Data Enveloppent Analysis). The DEA models represent one of the most important applications of mathematical programming in the agricultural economy. The chosen Output is the yield of pepper cultivated in greenhouses (q/are), while the inputs include: manure (q/are), fertilizer (q/dyn), liquid crystal manure (q/are), pesticides (q/are) and irrigation (m3/are). From our analysis we found out that several units 4 gave a DEA efficiency of 100%, while other units (municipalities of Lushnja district) are less efficient. The aim of DEA model is not only to analyze but also to improve the efficiency of the inefficient units. Through this model, the weights of the composite unit which resulted more efficient than the non-efficient units were found, which means that this unit produces output greater than or equal to the output of the unit under study, requiring smaller or equal amounts of input.

Key Words: Efficiency, Agricultural production, DEA model, Composite unit, Pepper, Lushnja district.

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