2020
DOI: 10.1016/j.ecoinf.2020.101117
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Distributed Delay Model and Von Foerster's equation: Different points of view to describe insects' life cycles with chronological age and physiological time

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Cited by 15 publications
(10 citation statements)
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“…Nevertheless, to date there is some missing biological information and a series of simplifications is required. The main issue is related to the environmental parameters: in fact, there are no analytical functions to represent the variation of the daily average temperature or relative humidity throughout the year [29][30][31]. Accordingly, there is no possibility of calculating analytical solutions for the Equation 1, and it makes necessary the use of numerical solutions, in order to increase the precision of the simulations.…”
Section: Males Population Modellingmentioning
confidence: 99%
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“…Nevertheless, to date there is some missing biological information and a series of simplifications is required. The main issue is related to the environmental parameters: in fact, there are no analytical functions to represent the variation of the daily average temperature or relative humidity throughout the year [29][30][31]. Accordingly, there is no possibility of calculating analytical solutions for the Equation 1, and it makes necessary the use of numerical solutions, in order to increase the precision of the simulations.…”
Section: Males Population Modellingmentioning
confidence: 99%
“…The comparison was conducted using the χ 2 function and the coefficient of determination R 2 , since this methodology was successfully applied to provide a clear idea of the level of overlap between field data and simulations with the Equation (1) [25,26,28,30,32].…”
Section: Data Analysis and Comparison Between Simulations And Field Datamentioning
confidence: 99%
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“…On the other hand, a reliable DSS should provide a temporal variation of the population density, more comparable with field monitoring. Hence, there is a need for a model which can merge these two fundamental conditions, describing a population of ectotherms developing over time and through the life stages (Rossini et al, 2020f).…”
Section: Mathematical Representation Of Population Dynamicsmentioning
confidence: 99%
“…The hypothesised number of eggs is assumed to be laid in a specific day, estimated as follows. Starting from the first adult's catch, the temperatures recorded in the previous days can be averaged, providing the so called 'total development temperature' (Colinet et al, 2015;Rossini et al, 2020f). The latter can then be processed with the development rate function, which roughly provides the number of days the insects probably needed to complete their egg-adult stage.…”
Section: Mathematical Representation Of Population Dynamicsmentioning
confidence: 99%