UNCERTAINTY OF MICROBIAL SHELF-LIFE ESTIMATIONS
FOR REFRIGERATED FOODS DUE TO THE EXPERIMENTAL
VARIABILITY OF THE MODEL PARAMETERS
SERGIO F. ALMONACID
1
and J. ANTONIO TORRES
2,3
1
Departamento de Procesos Químicos
Biotecnológicos y Ambientales
Universidad Técnica Federico Santa Maria
Valparaíso, Chile
2
Food Process Engineering Group
Department of Food Science and Technology
Oregon State University
Corvallis, OR
Accepted for Publication February 29, 2008
ABSTRACT
The uncertainty of shelf-life estimations for refrigerated foods exposed to
changing temperature was quantified by considering the contribution of the
experimental variability of the model parameters. Assuming the real distribu-
tion of the parameters can be replaced by an unknown empirical distribution,
this uncertainty was analyzed by a bootstrap methodology. Independent sets of
heat transfer and microbial growth parameters were chosen randomly from
experimental values. Shelf-life values were estimated for each set, with the
variability evaluated using an SD value. The procedure was repeated 10 times
to obtain 10 shelf-life SDs. The variation coefficient of these SDs is an absolute
measurement of shelf-life variability. At the recommended variation coefficient
of 0.1, a sample size of 25 was found acceptable. The shelf-life variability
estimated was similar (1 day) for surimi in cardboard and expanded poly-
styrene containers with different shelf life and temperature profiles. The
method is applicable to other predictions of food stability.
PRACTICAL APPLICATIONS
The effect of the experimental variability of model parameters on
shelf-life estimations confirmed the need to assess the uncertainty of model
3
Corresponding author. TEL: +1-541-737-4757; FAX: +1-541-737-6174; EMAIL: J_Antonio.
Torres@OregonState.edu
Journal of Food Process Engineering 33 (2010) 66–84. All Rights Reserved.
© Copyright the Authors
Journal Compilation © 2009 Wiley Periodicals, Inc.
DOI: 10.1111/j.1745-4530.2008.00298.x
66