The predicting power of models for eutrophication

Restoration of water-bodies from eutrophication has proved to be extremely difficult. Mathematical models have been used extensively to provide guidance for management decisions. The aim of this paper is to elucidate important problems of using models for predicting environmental changes. First, the necessity for a proper uncertainty assessment of the model, upon calibration, has not been widely recognized. Predictions must not be a single time trajectory; they should be a band, expressing system uncertainty and natural variability. Availability of this information may alter the decision to be taken. Second, even with well-calibrated models, there is no guarantee they will give correct projections in situations where the model is used to predict the effects of measures designed to bring the system into an entirely different ”operating point”, as is typically the case in eutrophication abatement. The concept of educated speculation is introduced to partially overcome this difficulty. Lake Veluwe is used as a case to illustrate the point. Third, as questions become more detailed, such as ”what about expected algal composition”, there is a greater probability of running into fundamental problems that are associated with predicting the behaviour of complex non-linear systems. Some of these systems show extreme initial condition sensitivity and even, perhaps, chaotic behaviour, and are therefore fundamentally unpredictable.

Sensitivity of angler benefit estimates from a model of recreational demand to the definition of the substitute sites considered by the angler

Fishery managers are mandated to understand the effects that environmental damage, fishery regulations, and habitat improvement projects have on the net benefits that recreational anglers derive from their sport. Since 1994, the National Marine Fisheries Service (NMFS) has worked to develop a consistent method for estimating net benefits through site choice models of recreational trip demand. In estimating net benefits with these models, there is a tradeoff between computational efficiency and angler behavior in reality. This article examines this tradeoff by considering the sensitivity of angler-welfare estimates for an increase in striped bass (Morone saxatalis) angling quality across choice sets with five travel distance cutoffs and compares those estimates to a model with an unrestricted choice set. This article shows that 95% confidence intervals for welfare estimates of an increase in the striped bass catch and keep rate overlap for all distance-based choice sets specified here.

TUNPOP, a computer simulation model of the yellowfin tuna population and the surface tuna fishery of the Eastern Pacific Ocean

ENGLISH: Mathematical documentation of TUNP0P, an age-structured computer simulation model of the yellowfin tuna population and surface tuna fishery of the eastern Pacific Ocean, is described. Example runs of the model are presented and discussed, and the sensitivity of the model output to changes in various parameters is examined. SPANISH: Se describe la documentación matemática de TUNP0P, un modelo computador de simulación basado en la edad de la población del atún aleta amarilla y de la pesca atunera epipelágíca del Océano Pacífico oriental. Se presentan y se discuten ejemplos de las pasadas del modelo, y se examina la sensibilidad de los resultados de salida con relación a los cambios de varios parámetros. (PDF contains 47 pages.)

A model of the pelagic ecossystem in the eastern tropical Pacific Ocean

English: Recent calls for a more holistic approach to fisheries management have motivated development of trophic mass-balance models of ecosystems that underlie fisheries production. We developed a model hypothesis of the pelagic ecosystem in the eastern tropical Pacific Ocean (ETP) to gain insight into the relationships among the various species in the system and to explore the ecological implications of alternative methods of harvesting tunas. We represented the biomasses of and fluxes between the principal elements in the ecosystem with Ecopath, and examined the ecosystem's dynamic, time-series behavior with Ecosim. We parameterized the model for 38 species or groups of species, and described the sources, justifications, assumptions, and revisions of our estimates of the various parameters, diet relations, fisheries landings, and fisheries discards in the model. We conducted sensitivity analyses with an intermediate version of the model, for both the Ecopath mass-balance and the dynamic trajectories predicted by Ecosim. The analysis showed that changes in the basic parameters for two components at middle trophic levels, Cephalopods and Auxis spp., exert the greatest influence on the system. When the Cephalopod Q/B and Auxis spp. P/B were altered from their initial values and the model was rebalanced, the trends of the biomass trajectories predicted by Ecosim were not sensitive, but the scaling was sensitive for several components. We described the review process the model was subjected to, which included reviews by the IATTC Purse-seine Bycatch Working Group and by a working group supported by the National Center for Ecological Analysis and Synthesis. We fitted the model to historical time series of catches per unit of effort and mortality rates for yellowfin and bigeye tunas in simulations that incorporated historical fishing effort and a climate driver to represent the effect of El Niño-Southern Oscillation-scale variation on the system. The model was designed to evaluate the possible ecological implications of fishing for tunas in various ways. We recognize that a model cannot possibly represent all the complexity of a pelagic ocean ecosystem, but we believe that the ETP model provides insight into the structure and function of the pelagic ETP. Spanish: Llamamientos recientes hacia un enfoque más holístico al ordenamiento de la pesca han motivado el desarrollo de modelos tróficos de balance de masas de los ecosistemas que sostienen la producción pesquera. Desarrollamos una hipótesis modelo del ecosistema pelágico en el Océano Pacífico oriental tropical (POT) con miras a mejorar los conocimientos de las relaciones entre las distintas especies en el sistema y explorar las implicaciones ecológicas de métodos alternativos de capturar atunes. Con Ecopath representamos las biomasas de los elementos principales en el ecosistema, y los flujos entre los mismos, y con Ecosim examinamos el comportamiento dinámico del ecosistema con el tiempo. Parametrizamos el modelo para 38 especies o grupos de especies (denominados “componentes” del modelo), y describimos las fuentes, justificaciones, supuestos, y revisiones de nuestras estimaciones de los distintos parámetros, relaciones basadas en dieta, capturas retenidas de las pesquerías, y descartes de las mismas en el modelo. Realizamos análisis de sensibilidad con una versión intermedia del modelo, para el balance de masas de Ecopath y las trayectorias dinámicas predichas por Ecosim también. El análisis demostró que cambios en los parámetros básicos para dos componentes en niveles tróficos medianos, Cefalópodos y Auxis spp., ejercieron la mayor influencia sobre el sistema. Cuando se alteraron el Q/B de los Cefalópodos y el P/B de los Auxis spp. de sus valores iniciales y se balanceó el modelo de nuevo, las tendencias de las trayectorias de la biomasa predichas por Ecosim no fueron sensibles, pero la escala fue sensible para varios componentes. Describimos el proceso de revisión al que fue sujeto el modelo, inclusive revisiones por el Grupo de Trabajo sobre Captura Incidental de la CIAT y un grupo de trabajo apoyado por el Centro Nacional para Síntesis y Análisis Ecológicos. Ajustamos el modelo a series de tiempo históricas de capturas por unidad de esfuerzo y tasas de mortalidad de atunes aleta amarilla y patudo en simulaciones que incorporaron esfuerzo de pesca histórico e impulsos climáticos para representar el efecto de variaciones a escala de El Niño-Oscilación del Sur sobre el sistema. El modelo fue diseñado para evaluar las posibles implicaciones ecológicas de la pesca atunera de varias formas. Reconocemos la imposibilidad de que el modelo represente toda la complejidad de un ecosistema oceánico pelágico, pero creemos que el modelo del POT mejora los conocimientos de la estructura y función del POT pelágico.

German Eel Model (GEM II) for describing eel, Anguilla anguilla (L.), stock dynamics in the river Elbe system

The eel, Anguilla anguilla (L.), stock of the river Elbe severely decreased during the last decades. Detailed knowledge of the stock dynamics in freshwater and especially of the impact factors is necessary to take effective measures for stock conservation and improvement. The dynamics of the eel stock are modelled based on immigration, stocking, natural mortality and mortalities caused by fishing, angling, cormorants and hydropower plants. The model estimates the number of emigrating eel. Moreover, it enables to study the sensitivity of the estimates related to the uncertainty of the source data of the different influencing factors. The model may be used to develop management strategies and to assess the effi ciency of different management options. Zusammenfassung Der Aalbestand im Elbesystem ist in den letzten Jahrzehnten stark zur

Using an inverse-logistic model to describe growth increments of blacklip abalone (Haliotis rubra) in Tasmania

A new description of growth in blacklip abalone (Haliotis rubra) with the use of an inverse-logistic model is introduced. The inverse-logistic model avoids the disadvantageous assumptions of either rapid or slow growth for small and juvenile individuals implied by the von Bertalanffy and Gompertz growth models, respectively, and allows for indeterminate growth where necessary. An inverse-logistic model was used to estimate the expected mean growth increment for different black-lip abalone populations around southern Tasmania, Australia. Estimates of the time needed for abalone to grow from settlement until recruitment (at 138 mm shell length) into the fishery varied from eight to nine years. The variability of the residuals about the predicted mean growth increments was described with either a second inverse-logistic relationship (standard deviation vs. initial length) or by a power relationship (standard deviation vs. predicted growth increment). The inverse-logistic model can describe linear growth of small and juvenile abalone (as observed in Tasmania), as well as a spectrum of growth possibilities, from determinate to indeterminate growth (a spectrum that would lead to a spread of maximum lengths).

High-resolution computation of isotopic processes in northern California using a local climate model

EXTRACT (SEE PDF FOR FULL ABSTRACT): We describe a coupled local climate/isotope model that can calculate Rayleigh-type processes of distillation and fractionation of hydrogen isotopes along individual air mass flowlines in the western United States.This climate model is an extension of that detailed earlier by Craig and Stamm (1990). ... Volumetric effects of evapotranspiration (ET) are included. The model allows sensitivity studies of the influence of ET recycling.

Application of a wind-driven barotropic model to simulate the seasonal circulation of the northern Arabian Sea

A two dimensional numerical barotropic model based on the depth-integrated equations is presented here. Sensitivity of the model is analyzed by using wind stresses of different months. Real wind data and actual bathymetry are used as an input to obtain the circulation patterns of the northern Arabian Sea during specific seasons. However, the model is also tested with constant depth for comparison. A number of numerical simulations are performed to study the combined effects of wind stress, bathymetry and basin geometry. Since the goal of this study is to simulate the circulation of the northern Arabian sea in accordance with the observed wind stress, therefore, wind stresses of different months like July (the peak os SW monsoon), October (the transition period from SW to NE monsoon), January (the peack of NE monsoon) and April (the transition period from NE to SW monsoon) are used to examine the circulation patterns. The results obtained are satisfactory in that they resemble known patterns.

Comparisons of open boundary conditions in a barotropic model of the northern Arabian Sea

These simulations are focused on the sensitivity of the barotropic ocean non-linear model to the various open boundary conditions (OBCs). Different OBCs from gradient to radiation condition are examined to determine the best result and help to choose the most appropriate OBCs. Since the interior points are changing with time both implicit and explicit forms are applied. The simulations showed that the interior flow is sensitive to changes in the OBCs and the results are highly dependent on the bathymetry of the area. When a constant depth (100m) is used, the circulation pattern with all OBCs is same. The best boundary conditions are Orlanski Radiation and its modified form. These boundary conditions produce identical adjustment in velocity and are determined to be satisfactory for both constant depth and actual bathymetry.