Fish catch management strategies: Evaluating the interplay between body size and global warming

Abstract

Environmental temperature and body size influence the life cycle of the species, with consequences for population size. In addition, it has been reported that increased temperature can lead to a decrease in body size. In the context of a resource‐stock, whose abundance is diminished by the action of an endothermic predator and also by small‐scale fishing activity, we analysed a Schaefer‐type fishery model that incorporates parametric variables associated with thermal performance, metabolic theory, and warming. We project the biomass of the resource in a thermal tolerance range with an increasing temperature trend obtained from current data. In the short term there could be an increase in biomass. However, over time the stock will decline rapidly, in association with the intensity of temperature increase and fishing effort. Recommendations for Resource Managers Temperature increments towards tolerance limits will generate that fish resources will eventually collapse locally. In the meantime, latitudinal variation in the physiological sensitivity of organisms will affect the outcome of the fishing effort differentially. Planning for more sustainable harvesting requires an ecophysiological understanding of both the resource and the species with which it interacts. Simple models contribute to the formulation of strategies aimed to guide responsible monitoring systems, where theoretical, observational, and experimental information is highly relevant.

Coexistence, Energy, and Trophic Cascade in a Three-Level Food Chain Integrating Body Sizes

“…This product has been proposed by Weitz and Levin (2006) and described in detail in Campillay-Llanos et al (2021). The interaction rate…”

“…The parameter φ(m Y , m X ) represents the mass-dependent component in the capture efficiency. It is constructed as the product between the probability, (m Y /m X ), of successfully killing a prey of body size m X consumed by a predator of body size m Y (the probability increases as the predator has more body size) and I(m Y , m X ) is the interaction rate per unit predator density (Weitz and Levin, 2006;Campillay-Llanos et al, 2021).…”

Theoretical approach to community structure: body size, density and energy

“…Computational and mathematical modeling provides a means to establish connections among these allometric relationships [17]. To quantify and predict population density scaling in specific groups, researchers have employed consumer-resource models that describe interactions, including birth and death processes, to parameterize systems of differential equations [5,[13][14][15][16]21]. These models exhibit varying levels of complexity, making it challenging to conduct a quantitative analysis of dynamics, especially in identifying which parameters drive the allometric pattern between density and body mass [11,12].…”

“…The main goal of this study is to bridge the gap between the natural language of ecosystems and computational language by representing the dynamics of biological communities without relying on systems of differential equations [13,14,16,21]. Currently, numerical simulations in the field of computational science share similarities with laboratory experiments in terms of their assumptions and limitations [9,10].…”

epcc: An R package to assess and simulate the vulnerability of ectothermic populations when facing climate change

“…The graphical output allows the simultaneous comparison of different parameter values, resulting in a relatively easy and fast tool to understand the repercussions of warming on the abundance and extinction risk of populations. Future versions of the package will include higher flexibility in the specification of the parameter, plasticity in TPCs through time, lagged population responses to temperature variations, other classical models and the inclusion of body size following macroecological theory(Campillay- Llanos et al, 2021). We expect that epcc will be a useful tool for understanding the effect of warming on ectotherm populations.ACK N OWLED G EM ENTSV.S.-N. thanks the Doctorado en Modelamiento Matemático Aplicado of the Universidad Católica del Maule for the doctoral scholarship provided during the development of the doctoral thesis.…”