1985
DOI: 10.4039/ent117631-5
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Further Difficulties in the Analysis of Functional-Response Experiments and a Resolution

Abstract: The Holling disc equation (Type-II functional response) for predation, which is mathematically equivalent to the Michaelis–Menten enzyme-kinetics and to the Monod microbial-growth equations, has been used in several linear transformations for parameter estimation. The most commonly used is the Lineweaver–Burk double reciprocal. We compare 4 linearizations of the disc equation and a direct nonlinear fit to stimulated predation data. We conclude that (1) the best parameter estimates are obtained by the direct no… Show more

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Cited by 44 publications
(13 citation statements)
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“…In case of a Type II response, the handling time and attack rate coefficients were estimated by fitting a modified Holling disk equation to the data (Williams and Juliano 1985):…”
Section: Discussionmentioning
confidence: 99%
“…In case of a Type II response, the handling time and attack rate coefficients were estimated by fitting a modified Holling disk equation to the data (Williams and Juliano 1985):…”
Section: Discussionmentioning
confidence: 99%
“…The behavioural response of C. carnea to different prey densities was described by fitting Holling's equation to the data (Williams and Juliano 1985):…”
Section: Discussionmentioning
confidence: 99%
“…These parameters were estimated using the Maximum Likelihood Analysis (CATMOD) procedure in SAS software (Juliano 2001). In the second step, a nonlinear least square regression was used [Nonlinear (NLIN) procedure with Multivariate Secant or False Position (DUD) method in SAS (2002)] to estimate the functional response parameters of the Holling's disc equation (Williams and Juliano 1985) Then, the obtained parameters were compared [T h and either a (for type II)]. The coefficient of determination was calculated as r 2 = 1 -residual sum of squares/corrected total sum of squares (Allahyari et al 2004;Farrokhi et al 2010).…”
Section: Discussionmentioning
confidence: 99%