scholarly journals Effects of contaminants and trophic cascade regulation on food chain stability: Application to cadmium soil pollution on small mammals – Raptor systems

2018 ◽  
Vol 382 ◽  
pp. 33-42 ◽  
Author(s):  
Virgile Baudrot ◽  
Clémentine Fritsch ◽  
Antoine Perasso ◽  
Malay Banerjee ◽  
Francis Raoul
2020 ◽  
Vol 1 (2) ◽  
pp. 1-27
Author(s):  
Yang Wang ◽  
Xingfu Zou

Motivated by a recent field study [Nat. Commun. 7(2016), 10698] on the impact of fear of large carnivores on the populations in a cascading ecosystem of food chain type with the large carnivores as the top predator, in this paper we propose two model systems in the form of ordinary differential equations to mechanistically explore the cascade of such a fear effect. The models are of the Lotka-Volterra type, one is three imensional and the other four dimensional. The 3-D model only considers the cost of the anti-predation response reflected in the decrease of the production, while the 4-D model considers also the benefit of the response in reducing the predation rate, in addition to the cost by reducing the production. We perform a thorough analysis on the dynamics of the two models. The results reveal that the 3-D model and 4-model demonstrate opposite patterns for trophic cascade in terms of the dependence of population sizes for each species at the co-existence equilibrium on the anti-predation response level parameter, and such a difference is attributed to whether or not there is a benefit for the anti-predation response by the meso-carnivore species.


2017 ◽  
Vol 27 (3) ◽  
pp. 833-844 ◽  
Author(s):  
William D. Hintz ◽  
Brian M. Mattes ◽  
Matthew S. Schuler ◽  
Devin K. Jones ◽  
Aaron B. Stoler ◽  
...  

2018 ◽  
Author(s):  
Matthieu Barbier ◽  
Michel Loreau

AbstractFood chain theory is one of the cornerstones of ecology, providing many of its basic predictions, such as biomass pyramids, trophic cascades and predator-prey oscillations. Yet, ninety years into this theory, the conditions under which these patterns may occur and persist in nature remain subject to debate. Rather than address each pattern in isolation, we propose that they must be understood together, calling for synthesis in a fragmented landscape of theoretical and empirical results. As a first step, we propose a minimal theory that combines the long-standing energetic and dynamical approaches of food chains. We chart theoretical predictions on a concise map, where two main regimes emerge: across various functioning and stability metrics, one regime is characterized by pyramidal patterns, the other by cascade patterns. The axes of this map combine key physiological and ecological variables, such as metabolic rates and self-regulation. A quantitative comparison with data sheds light on conflicting theoretical predictions and empirical puzzles, from size spectra to causes of trophic cascade strength. We conclude that drawing systematic connections between various existing approaches to food chains, and between their predictions on functioning and stability, is a crucial step in confronting this theory to real ecosystems.


Author(s):  
Pijush Panday ◽  
Nikhil Pal ◽  
Sudip Samanta ◽  
Joydev Chattopadhyay

2010 ◽  
Vol 408 ◽  
pp. 161-167 ◽  
Author(s):  
EM Newcombe ◽  
RB Taylor
Keyword(s):  

2011 ◽  
pp. 030811155447 ◽  
Author(s):  
Lauren Wolf
Keyword(s):  

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