Including knowledge on competitive interactions in current model predictions will be a necessity in the next years for ecology as ecological models are getting more complex and more real. Here, the model parameters that incorporate intraspecific competition by interference in the consumer-resource interaction are not identifiable, suggesting that this problem may be more widespread than is generally appreciated in the literature of food webs. This means that fewer parameters or parameter combination can be estimated than the original number of parameters in the models. The term ‘functional response’ was rst used by Solomon 31 but has become particularly associ-ated with the work of Holling 18, 19 through his classication of functional responses into three basic types (denoted types I, II and III) this nomenclature has since been widely adopted in the literature. In this work, we found that the models that better describe the functional response of a rotifer is consumer dependant even at low consumer densities, but their parameters can not be estimated simultaneously because parameter redundancy. Because some of the functional response models used in this study presented redundancy between its parameters two methods were used to check for parameter redundancy: the Hessian matrix calculation using automatic differentiation (AD) which calculates derivatives numerically, but does not use finite differences, and the symbolic method that calculates a derivative matrix and its rank. Its mathematical description in the form of functional response equations is a key problem for describing all trophic interactions. This type II functional response curve (slide 26, 29) is typical of predators that do some distinguishing among prey types, which is necessary for the.
The consumption rate is a process critically important for the stability of consumer-resource systems and the persistence, sustainability and biodiversity of complex food webs.
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