Marine reserves with ecological uncertainty.

Abstract:

:To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundance of species and, relative to reference sites, raise population density, biomass, fish size and diversity. By contrast, fishers often oppose the establishment and expansion of marine reserves and claim that reserves provide few, if any, economic payoffs. Using a stochastic optimal control model with two forms of ecological uncertainty we demonstrate that reserves create a resilience effect that allows for the population to recover faster, and can also raise the harvest immediately following a negative shock. The tradeoff of a larger reserve is a reduced harvest in the absence of a negative shock such that a reserve will never encompass the entire population if the goal is to maximize the economic returns from harvesting, and fishing is profitable. Under a wide range of parameter values with ecological uncertainty, and in the 'worst case' scenario for a reserve, we show that a marine reserve can increase the economic payoff to fishers even when the harvested population is not initially overexploited, harvesting is economically optimal and the population is persistent. Moreover, we show that the benefits of a reserve cannot be achieved by existing effort or output controls. Our results demonstrate that, in many cases, there is no tradeoff between the economic payoff of fishers and ecological benefits when a reserve is established at equal to, or less than, its optimum size.

journal_name

Bull Math Biol

authors

Grafton RQ,Kompas T,Lindenmayer D

doi

10.1016/j.bulm.2004.11.006

subject

Has Abstract

pub_date

2005-09-01 00:00:00

pages

957-71

issue

5

eissn

0092-8240

issn

1522-9602

pii

S0092-8240(04)00125-9

journal_volume

67

pub_type

杂志文章
  • Surfing the Hyperbola Equations of the Steady-State Farquhar-von Caemmerer-Berry C3 Leaf Photosynthesis Model: What Can a Theoretical Analysis of Their Oblique Asymptotes and Transition Points Tell Us?

    abstract::The asymptotes and transition points of the net CO2 assimilation (A/Ci) rate curves of the steady-state Farquhar-von Caemmerer-Berry (FvCB) model for leaf photosynthesis of C3 plants are examined in a theoretical study, which begins from the exploration of the standard equations of hyperbolae after rotating the coordi...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-019-00676-z

    authors: Miranda-Apodaca J,Marcos-Barbero EL,Morcuende R,Arellano JB

    更新日期:2019-12-23 00:00:00

  • Topological Data Analysis Approaches to Uncovering the Timing of Ring Structure Onset in Filamentous Networks.

    abstract::In developmental biology as well as in other biological systems, emerging structure and organization can be captured using time-series data of protein locations. In analyzing this time-dependent data, it is a common challenge not only to determine whether topological features emerge, but also to identify the timing of...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-020-00847-3

    authors: Ciocanel MV,Juenemann R,Dawes AT,McKinley SA

    更新日期:2021-01-16 00:00:00

  • Directional Hydrodynamic Sensing by Free-Swimming Organisms.

    abstract::Many aquatic organisms detect the presence of moving objects in their environment, such as predators, by sensing the hydrodynamic disturbances the movements produce. The resultant water flow is readily detectable by stationary organisms, but free-swimming organisms are carried with the surrounding water and may not de...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0368-0

    authors: Takagi D,Hartline DK

    更新日期:2018-01-01 00:00:00

  • Experimental design for dynamics identification of cellular processes.

    abstract::We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-014-9935-9

    authors: Dinh V,Rundell AE,Buzzard GT

    更新日期:2014-03-01 00:00:00

  • Estimating microbial inactivation parameters from survival curves obtained under varying conditions--the linear case.

    abstract::When the isothermal semi-logarithmic survival curves of heat inactivated microbial cells or spores are known to be linear it is possible to calculate their survival parameters from curves obtained under nonisothermal conditions, provided that the temperature history ('profile') satisfies certain simple mathematical re...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/S0092-8240(02)00097-6

    authors: Peleg M,Normand MD,Campanella OH

    更新日期:2003-03-01 00:00:00

  • On cloning and clone libraries for finite and infinite length genomes.

    abstract::This paper develops mathematical theory to determine the representativeness of clone libraries for various models, defined below in the text. In particular, the means and variances of fragment lengths and the mean of the length of a randomly selected fragment are determined, as well as the probability of the event tha...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2001.0251

    authors: Fang Y,Wilson SR

    更新日期:2001-09-01 00:00:00

  • Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces.

    abstract::In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and e...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-017-0255-8

    authors: Dhillon DS,Milinkovitch MC,Zwicker M

    更新日期:2017-04-01 00:00:00

  • The mutation process in colored coalescent theory.

    abstract::The mutation process is introduced into the colored coalescent theory. The mutation process can be viewed as an independent Poisson process running on the colored genealogical random tree generated by the colored coalescent process, with the edge lengths of the random tree serving as the time scale for the mutation pr...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9428-4

    authors: Tian JP,Lin XS

    更新日期:2009-11-01 00:00:00

  • Cross-feeding dynamics described by a series expansion of the replicator equation.

    abstract::Understanding how ecosystems evolve and how they respond to external perturbations is critical if we are to predict the effects of human intervention. A particular class of ecosystems whose dynamics are poorly understood are those in which the species are related via cross-feeding. In these ecosystems the metabolic ou...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-013-9828-3

    authors: Lundh T,Gerlee P

    更新日期:2013-05-01 00:00:00

  • Dynamics and management of stage-structured fish stocks.

    abstract::With increasing fishing pressures having brought several stocks to the brink of collapse, there is a need for developing efficient harvesting methods that account for factors beyond merely yield or profit. We consider the dynamics and management of a stage-structured fish stock. Our work is based on a consumer-resourc...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-012-9789-y

    authors: Meng X,Lundström NL,Bodin M,Brännström Å

    更新日期:2013-01-01 00:00:00

  • Emergence of rules in cell society: differentiation, hierarchy, and stability.

    abstract::A dynamic model for cell differentiation, where cells with internal chemical reaction dynamics interact with each other and replicate was studied. It led to spontaneous differentiation of cells and determination, as discussed in the isologous diversification. The following features of the differentiation were obtained...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.1997.0034

    authors: Furusawa C,Kaneko K

    更新日期:1998-07-01 00:00:00

  • Neighborhoods of trees in circular orderings.

    abstract::In phylogenetics, a common strategy used to construct an evolutionary tree for a set of species [Formula: see text] is to search in the space of all such trees for one that optimizes some given score function (such as the minimum evolution, parsimony or likelihood score). As this can be computationally intensive, it w...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-014-0049-1

    authors: Bastkowski S,Moulton V,Spillner A,Wu T

    更新日期:2015-01-01 00:00:00

  • On the Shapley Value of Unrooted Phylogenetic Trees.

    abstract::The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley value of unrooted trees and first revisit the so-called split counts of a phylogenetic tree and the Shapley transformation matrix that allows f...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0392-8

    authors: Wicke K,Fischer M

    更新日期:2019-02-01 00:00:00

  • Schistosomiasis Transmission Model and its Control in Anhui Province.

    abstract::National Bureau of Statistics of China reports that the incidence of schistosomiasis has been increasing in recent years. To study dynamic behaviors of schistosomiasis transmission, based on practical experience of staff in Anhui Institute of Schistosomiasis, a mathematical schistosomiasis model with reinfection of re...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0474-7

    authors: Qi L,Xue M,Cui JA,Wang Q,Wang T

    更新日期:2018-09-01 00:00:00

  • A bovine babesiosis model with dispersion.

    abstract::Bovine Babesiosis (BB) is a tick borne parasitic disease with worldwide over 1.3 billion bovines at potential risk of being infected. The disease, also called tick fever, causes significant mortality from infection by the protozoa upon exposure to infected ticks. An important factor in the spread of the disease is the...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-013-9912-8

    authors: Friedman A,Yakubu AA

    更新日期:2014-01-01 00:00:00

  • Improving Parameter Inference from FRAP Data: an Analysis Motivated by Pattern Formation in the Drosophila Wing Disc.

    abstract::Fluorescence recovery after photobleaching (FRAP) is used to obtain quantitative information about molecular diffusion and binding kinetics at both cell and tissue levels of organization. FRAP models have been proposed to estimate the diffusion coefficients and binding kinetic parameters of species for a variety of bi...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-016-0241-6

    authors: Lin L,Othmer HG

    更新日期:2017-03-01 00:00:00

  • Theory for the feedback inhibition of fast release of neurotransmitter.

    abstract::Autoinhibition of neurotransmitter release occurs via binding of transmitter to appropriate receptors. Experiments have provided evidence suggesting that the control of neurotransmitter release in fast systems is mediated by these inhibitory autoreceptors. Earlier, the authors formulated and analysed a mathematical mo...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1006/bulm.2000.0174

    authors: Yusim K,Parnas H,Segel LA

    更新日期:2000-07-01 00:00:00

  • A mathematical model for elongation of a peptide chain.

    abstract::A mathematical model is presented for the steps in the elongation process, and the steady-state elongation rate as a function of the amino acid concentrations is found. In addition, the reset sub-process of the elongation process is modeled. The rate of elongation of peptide chains is found to be a function of the con...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1016/S0092-8240(03)00076-4

    authors: Heyd A,Drew DA

    更新日期:2003-11-01 00:00:00

  • An integrative computational model of multiciliary beating.

    abstract::The coordinated beating of motile cilia is responsible for ovum transport in the oviduct, transport of mucus in the respiratory tract, and is the basis of motility in many single-celled organisms. The beating of a single motile cilium is achieved by the ATP-driven activation cycles of thousands of dynein molecular mot...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-008-9296-3

    authors: Yang X,Dillon RH,Fauci LJ

    更新日期:2008-05-01 00:00:00

  • Estimation of cell proliferation dynamics using CFSE data.

    abstract::Advances in fluorescent labeling of cells as measured by flow cytometry have allowed for quantitative studies of proliferating populations of cells. The investigations (Luzyanina et al. in J. Math. Biol. 54:57-89, 2007; J. Math. Biol., 2009; Theor. Biol. Med. Model. 4:1-26, 2007) contain a mathematical model with fluo...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9524-5

    authors: Banks HT,Sutton KL,Thompson WC,Bocharov G,Roose D,Schenkel T,Meyerhans A

    更新日期:2011-01-01 00:00:00

  • Modeling Glucose Metabolism in the Kidney.

    abstract::The mammalian kidney consumes a large amount of energy to support the reabsorptive work it needs to excrete metabolic wastes and to maintain homeostasis. Part of that energy is supplied via the metabolism of glucose. To gain insights into the transport and metabolic processes in the kidney, we have developed a detaile...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-016-0188-7

    authors: Chen Y,Fry BC,Layton AT

    更新日期:2016-06-01 00:00:00

  • On Nonlinear Pest/Vector Control via the Sterile Insect Technique: Impact of Residual Fertility.

    abstract::We consider a minimalist model for the Sterile Insect Technique (SIT), assuming that residual fertility can occur in the sterile male population. Taking into account that we are able to get regular measurements from the biological system along the control duration, such as the size of the wild insect population, we st...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-020-00790-3

    authors: Aronna MS,Dumont Y

    更新日期:2020-08-09 00:00:00

  • Resource consumption, sustainability, and cancer.

    abstract::Preserving a system's viability in the presence of diversity erosion is critical if the goal is to sustainably support biodiversity. Reduction in population heterogeneity, whether inter- or intraspecies, may increase population fragility, either decreasing its ability to adapt effectively to environmental changes or f...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章,评审

    doi:10.1007/s11538-014-9983-1

    authors: Kareva I,Morin B,Castillo-Chavez C

    更新日期:2015-02-01 00:00:00

  • Reduced models of algae growth.

    abstract::The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9417-7

    authors: Haario H,Kalachev L,Laine M

    更新日期:2009-10-01 00:00:00

  • Simple stochastic fingerprints towards mathematical modeling in biology and medicine 2. Unifying Markov model for drugs side effects.

    abstract::Most of present mathematical models for biological activity consider just the molecular structure. In the present article we pretend extending the use of Markov chain models to define novel molecular descriptors, which consider in addition other parameters like target site or biological effect. Specifically, this math...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-005-9013-4

    authors: Cruz-Monteagudo M,González-Díaz H,Uriarte E

    更新日期:2006-10-01 00:00:00

  • Impact of Harvesting on a Bioeconomic Predator-Prey Fishery Model Subject to Environmental Toxicant.

    abstract::The present paper studies a predator-prey fishery model which incorporates the independent harvesting strategies and nonlinear impact of an anthropogenic toxicant. Both fish populations are harvested with different harvesting efforts, and the cases for the presence and non-presence of harvesting effort are discussed. ...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-019-00627-8

    authors: Ang TK,Safuan HM,Sidhu HS,Jovanoski Z,Towers IN

    更新日期:2019-07-01 00:00:00

  • Mathematical modelling of the sporulation-initiation network in Bacillus subtilis revealing the dual role of the putative quorum-sensing signal molecule PhrA.

    abstract::Bacillus subtilis cells may opt to forgo normal cell division and instead form spores if subjected to certain environmental stimuli, for example nutrient deficiency or extreme temperature. The resulting spores are extremely resilient and can survive for extensive periods of time, importantly under particularly harsh c...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-010-9530-7

    authors: Jabbari S,Heap JT,King JR

    更新日期:2011-01-01 00:00:00

  • Asymptotic Behavior of Eigen's Quasispecies Model.

    abstract::We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to [Formula: see text] and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove convergence of trajectories, as well as convergence of the equilibrium solutions....

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-018-0420-8

    authors: Dalmau J

    更新日期:2018-07-01 00:00:00

  • Theoretical considerations of Fisher's theorem in small at-risk populations.

    abstract::Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusio...

    journal_title:Bulletin of mathematical biology

    pub_type: 杂志文章

    doi:10.1007/s11538-009-9455-1

    authors: Johnson SD

    更新日期:2010-01-01 00:00:00

  • Oscillations and waves of cyclic AMP in Dictyostelium: a prototype for spatio-temporal organization and pulsatile intercellular communication.

    abstract::The amoebae Dictyostelium discoideum aggregate after starvation in a wavelike manner in response to periodic pulses of cyclic AMP (cAMP) secreted by cells which behave as aggregation centers. In addition to autonomous oscillations, the cAMP signaling system that controls aggregation is also capable of excitable behavi...

    journal_title:Bulletin of mathematical biology

    pub_type: 历史文章,杂志文章

    doi:10.1007/s11538-006-9090-z

    authors: Goldbeter A

    更新日期:2006-07-01 00:00:00