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Assessment of ecosystem trophodynamic power: A model based on the power equation for an oscillating string

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  • Rodríguez, Ricardo A.
  • Duncan, Janelle M.
  • Delgado, Juan D.
  • Vanni, Michael J.
  • Riera, Rodrigo
  • Herrera, Ada M.
  • González, María J.

Abstract

The emergence of organic biophysics of ecosystems (OBEC: an interdisciplinary approach supported by thirteen previous articles in order to get a non-contingent explanation of ecosystem dynamics) may close the gap between the foundation of ecosystem ecology in classical thermodynamics and the paradoxical fact that conventional thermostatistics is currently regarded as useless to explain ecosystem functioning. The measurement of eco-kinetic energy (Eep) was the first step of OBEC. However, Eep assesses trophic energy as a stock rather than a flow. In order to normalize the above-mentioned situation, this article proposes a model to assess the average trophodynamic power (Pt,avg: flow of eco-kinetic energy per space-time unit) of ecosystems by extrapolating the equation of average power for an oscillating string. With such a goal, we quantified the power associated to oscillations of the difference between the standardized values of species richness and evenness per value class of several species diversity distributions. In order to validate if Pt, avg has a reliable meaning, Pt, avg was correlated with a wide spectrum of biotic and abiotic environmental factors, every of them with a well-known independent meaning. We herein use field data from three databases (inland water zooplankton, leaf litter invertebrates, and ruderal vegetation) to test the reliability of this model. Our results showed that Pt,avg is correlated in a significant way, either positively or negatively, with important environmental factors. As a result, it is feasible to use the proposed equation as a reliable tool to measure the intensity of eco-kinetic energy flow under stationary and non-stationary conditions. This proposal has advantages in comparison with conventional methods (e.g.: standing biomass, carbon fixation), and it is useful for monitoring anthropogenic impacts on ecosystem metabolism.

Suggested Citation

  • Rodríguez, Ricardo A. & Duncan, Janelle M. & Delgado, Juan D. & Vanni, Michael J. & Riera, Rodrigo & Herrera, Ada M. & González, María J., 2017. "Assessment of ecosystem trophodynamic power: A model based on the power equation for an oscillating string," Ecological Modelling, Elsevier, vol. 362(C), pages 80-86.
    • Handle: RePEc:eee:ecomod:v:362:y:2017:i:c:p:80-86
    DOI: 10.1016/j.ecolmodel.2017.08.019
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    1. Rodríguez, Ricardo A. & Herrera, Ada M. & Otto, Rüdiger & Delgado, Juan D. & Fernández-Palacios, José M. & Arévalo, José R., 2012. "Ecological state equation," Ecological Modelling, Elsevier, vol. 224(1), pages 18-24.
    2. Rodríguez, Ricardo A. & Duncan, Janelle M. & Vanni, Michael J. & Melkikh, Alexey V. & Delgado, Juan D. & Riera, Rodrigo & Herrera, Ada M. & Camarena, Tomás & Quirós, Ángel & Fernández-Palacios, José M, 2017. "Exploring the analytical consequences of ecological subjects unwittingly neglected by the mainstream of evolutionary thought," Ecological Modelling, Elsevier, vol. 355(C), pages 70-83.
    3. Rodríguez, Ricardo A. & Duncan, Janelle & Riera, Rodrigo & Delgado, Juan D. & Quirós, Angel & Vanni, Michael J. & Camarena, Tomás & Miranda, Jezahel V. & Perdomo, María E. & Herrera, Ada M. & González, 2017. "Thermostatistical distribution of a trophic energy proxy: Extension for modelling energy pyramids at the inter-taxocene scale and under non-stationary conditions," Ecological Modelling, Elsevier, vol. 361(C), pages 113-121.
    4. Rodríguez, Ricardo A. & Herrera, Ada Mª & Delgado, Juan D. & Otto, Rüdiger & Quirós, Ángel & Santander, Jacobo & Miranda, Jezahel V. & Fernández, María J. & Jiménez-Rodríguez, Antonia & Riera, Rodrigo, 2013. "Biomass-dispersal trade-off and the functional meaning of species diversity," Ecological Modelling, Elsevier, vol. 261, pages 8-18.
    5. Rodríguez, Ricardo A. & Herrera, Ada Ma. & Riera, Rodrigo & Delgado, Juan D. & Quirós, Ángel & Perdomo, María E. & Santander, Jacobo & Miranda, Jezahel V. & Fernández-Rodríguez, María J. & Jiménez-Rod, 2015. "Thermostatistical distribution of a trophic energy proxy with analytical consequences for evolutionary ecology, species coexistence and the maximum entropy formalism," Ecological Modelling, Elsevier, vol. 296(C), pages 24-35.
    6. Rodríguez, Ricardo A. & Herrera, Ada Ma. & Santander, Jacobo & Miranda, Jezahel V. & Perdomo, María E. & Quirós, Ángel & Riera, Rodrigo & Fath, Brian D., 2016. "From a stationary to a non-stationary ecological state equation: Adding a tool for ecological monitoring," Ecological Modelling, Elsevier, vol. 320(C), pages 44-51.
    7. Rodríguez, Ricardo A. & Herrera, Ada M. & Riera, Rodrigo & Santander, Jacobo & Miranda, Jezahel V. & Quirós, Ángel & Fernández-Rodríguez, María J. & Fernández-Palacios, José M. & Otto, Rüdiger & Escud, 2015. "Distribution of species diversity values: A link between classical and quantum mechanics in ecology," Ecological Modelling, Elsevier, vol. 313(C), pages 162-180.
    8. Rodríguez, Ricardo A. & Herrera, Ada Ma. & Santander, Jacobo & Miranda, Jezahel V. & Fernández-Rodríguez, María J. & Quirós, Ángel & Riera, Rodrigo & Fernández-Palacios, José Mª. & Otto, Rüdiger & Esc, 2015. "Uncertainty principle in niche assessment: A solution to the dilemma redundancy vs. competitive exclusion, and some analytical consequences," Ecological Modelling, Elsevier, vol. 316(C), pages 87-110.
    9. Rodríguez, Ricardo A. & Delgado, Juan D. & Herrera, Ada Ma. & Riera, Rodrigo & Navarro, Rafael Ma. & Melián, Carlos & Dieguez, Lorenzo & Quirós, Ángel, 2013. "Effects of two traits of the ecological state equation on our understanding of species coexistence and ecosystem services," Ecological Modelling, Elsevier, vol. 265(C), pages 1-13.
    10. Rodríguez, Ricardo A. & Herrera, Ada M. & Duncan, Janelle & Riera, Rodrigo & Quirós, Ángel & Perdomo, María E. & Jiménez-Rodríguez, Antonia & Fernández-Palacios, José María & Vanni, Michael J. & Otto,, 2016. "Response to comments on “Uncertainty principle in niche assessment: A solution to the dilemma redundancy vs. competitive exclusion, and some analytical consequences”," Ecological Modelling, Elsevier, vol. 341(C), pages 1-4.
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    1. Riera, Rodrigo & Fath, Brian D. & Herrera, Ada M. & Rodríguez, Ricardo A., 2024. "A strategic roadmap for interdisciplinary modeling in ecology: The result of reading ‘Defining an ecological equation of state: Response to Riera et al. 2023′ (Newman et al., 2023)," Ecological Modelling, Elsevier, vol. 490(C).
    2. Riera, Rodrigo & Fath, Brian D. & Herrera, Ada M. & Rodríguez, Ricardo A., 2023. "Concerns regarding the proposal for an ecological equation of state: an assessment starting from the organic biophysics of ecosystems (OBEC)," Ecological Modelling, Elsevier, vol. 484(C).
    3. Rodríguez, Ricardo A. & Riera, Rodrigo & Herrera, Ada M. & Duncan, Janelle M. & Vanni, Michael J. & Delgado, Juan D. & González, María J., 2019. "Degrees of freedom: Definitions and their minimum and most meaningful combination for the modelling of ecosystem dynamics with the help of physical principles," Ecological Modelling, Elsevier, vol. 392(C), pages 226-235.

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