Estimating a Predator-Prey Dynamical Model with the Parameter Cascades Method

• Published in: Biometrics Vol. 64; no. 3; pp. 959 - 967
• Main Authors: Cao, Jiguo, Fussmann, Gregor F., Ramsay, James O.
• Format: Journal Article
• Language: English
• Published: Malden, USA Blackwell Publishing Inc 01.09.2008; Blackwell Publishing; Blackwell Publishing Ltd
• Subjects: Animals; Biometric Practice; biometry; Biometry - methods; Chlorella vulgaris - growth & development; Chlorella vulgaris - physiology; data collection; Data smoothing; Datasets; Differential equations; dynamic models; Ecological modeling; ecologists; Ecology; Ecosystem; equations; Estimating techniques; Estimation methods; Food Chain; Functional responses; Inverse problem; Mathematical independent variables; mathematical models; Mathematical vectors; Models, Biological; Models, Statistical; Nitrogen; Nonlinear Dynamics; Nuisance parameters; Odes; Ordinary differential equation; Ordinary differential equations; Penalized smoothing; Predation; Predator-prey system; Profiling method; Rotifera - growth & development; Rotifera - physiology; Statistical analysis; System identification

Ordinary differential equations (ODEs) are widely used in ecology to describe the dynamical behavior of systems of interacting populations. However, systems of ODEs rarely provide quantitative solutions that are close to real field observations or experimental data because natural systems are subjec...