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The analysis of aquatic toxicity data S.A.L.M. Kooijman and J.J.M. Bedaux ii The analysis of aquatic toxicity data S.A.L.M. Kooijman Professor of Theoretical Biology Vrije Universiteit Amsterdam J.J.M. Bedaux Lecturer in Biostatistics Vrije Universiteit Amsterdam VU University Press iii Published by the VU University Press De Boelelaan 1083, 1081 HV Amsterdam cS.A.L.M. Kooijman & J.J.M. Bedaux (cid:13) First published 1996 Printed in the Netherlands ISBN 90-5383-477-X paperback iv Contents Preface vii 1 No-effect concentrations in environmental policy 1 2 Toxic effects as process perturbations 9 by Bas Kooijman 2.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Standard descriptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Dynamic Energy Budgets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.4 Toxicokinetics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2.5 Effects on individuals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.6 Effects on population dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.7 Toxicity patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.8 Conclusions/perspectives. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 3 The analysis of standardized bioassays 49 3.1 Some statistical properties of estimates of no-effect concentrations . . . . . . . . . . 50 by Bas Kooijman and Jacques Bedaux 3.2 Statistical Analysis of Bioassays based on hazard modelling . . . . . . . . . . . . . . 58 by Jacques Bedaux and Bas Kooijman 3.3 Analysis of toxicity tests on fish growth . . . . . . . . . . . . . . . . . . . . . . . . . 72 by Bas Kooijman and Jacques Bedaux 3.4 Analysis of toxicity tests on Daphnia survival and reproduction . . . . . . . . . . . . 93 by Bas Kooijman and Jacques Bedaux 3.5 No-effect concentrations in algal growth inhibition tests . . . . . . . . . . . . . . . . 114 by Bas Kooijman, Arnbjørn Hanstveit and Niels Nyholm 4 Software package DEBtox 127 by Matthijs Luger, Jacques Bedaux and Bas Kooijman 4.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 4.2 Parameter estimation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 4.3 Input. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 4.4 Output . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 4.5 Final remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 Glossary 145 v vi Preface Legislation around emission of chemicals in the environment aims at minimizing ecological effects. Because of our poor understanding of ecosystem dynamics, it is usually unclear how effects on particular species translate into ecological effects. The interpretation of results from experiments with mesocosms is also far from obvious. This explains why No-Observed Effect Concentrations (noecs) from standardized bioassaysarefrequentlyusedinenvironmentalriskassessments. Thisuseis,however, under increased criticism due to a substantial statistical problem that is inherent to thisconcept: theproblemofrecognizingsmalleffectsinscatterydata. Astatistically nonsignificant effect does not imply that biologically significant effects are absent. Small-effect concentrations have been proposed to replace noecs in risk analysis. This approach suffers from several problems, such as: What is small?; How do small effects on species relate to ecosystem dynamics?; To what extent does the resulting value depend on those model details that do not have a mechanistic basis? How do we extrapolate acute effects to chronic effects? ThisbookdescribeshowtheNo-EffectConcentration(nec)canbeestimatedasa model parameter from data of standardized aquatic toxicity tests: acute and chronic survival, body growth (of fish), reproduction (of daphnia) and (algal) population growth. Thisalternativeforthenoecdoesnotsufferfromstatisticalproblems,while its use in risk assessments still avoids the difficulty of translating observed effects into consequences for ecosystems dynamics. Being a model parameter, the point estimate of the nec can be provided with a confidence interval. This allows positive identification of a concentration range where no effects are to be expected, which is not possible in the noec approach. If, on the other hand, the null hypothesis nec=0 (implying that the toxicant has effects in all concentrations) cannot be rejected, one might consider additional research about the effects of the compound. The method to estimate necs is a by-product of a new process-based characteri- zationoftoxiceffects. Thebasicideaisthatthehazardrateandtheparametersthat quantify the energy budget of the individual are proportional to the concentration in the animal that exceeds the no-effect concentration. The inverse of the proportion- ality constant, which is called the tolerance concentration, quantifies the toxicity of the compound. The energy budget parameters are defined by the Dynamic Energy Budget (DEB) theory, which specifies the rules that organisms use for the energy vii viii Preface uptake of resources (food) and the ensuing allocations to maintenance, growth, de- velopment and propagation. The DEB theory has been tested against a wide variety of ecophysiological data. This book only summarizes some relevant points of the theory, which is fully discussed elsewhere (Kooijman 1993). At high concentrations, toxicants will affect many physiological processes simultaneously and we would need many parameters to quantify all these effects. The various physiological processes can be ordered with respect to their sensitivity to the toxicant, however, so that just one process (i.e. one parameter) is affected in the lower concentration range. The characterization of toxic effects is built up in two steps: (i) the uptake and elimination behaviour of the compound and (ii) the translation of internal concen- trations into effects. As the most simple option, one-compartment first-order toxi- cokinetics can be assumed. This results in an nec, a tolerance concentration, and an elimination rate as characterizations of the various sublethal effects. The tolerance concentration is replaced by the killing rate for lethal effects. These simple char- acterizations are independent of exposure time and depend in a simple way on the octanol-water partition coefficient. The possibility to remove the elimination rate as an essential parameter makes the models with just two toxicity parameters the simplest possible. The results of aquatic toxicity bioassays as standardized by the OECD are suitable substrates for the models. The analysis of these results will be discussed in detail. Weconsiderthemethodasanapplicationofthetheoryforenergyandmassfluxes through biological systems that we are currently developing in the Department of Theoretical Biology VUA (see our homepage on WWW: http://www.bio.vu.nl/vak- groepen/thb). The biological foundation is covered by the Dynamic Energy Budget theory, which has been published separately (see Kooijman 1993, including tests against experimental data). The Department participates in the Amsterdam Centre for Environmental Science (ACES). The book starts with an evaluation of the use of no-effect concentrations in leg- islation from the perspective of the Dutch Ministry for the Environment (VROM). Then follows a chapter with a discussion of the toxicological backgrounds of the new method. It is intended for ecotoxicologists, with an emphasis on scientific aspects ratherthantechnicalones. Thenextchapterismoretechnicalandisprimarilyaimed at statisticians and scientists who have had an introduction into applied mathemat- ics. The sections of this chapter can be read independently and discuss the different bioassays. The last chapter describes the use of the software package DEBtox, which handles all calculations that are required to apply the method. A diskette with the Windows and Unix versions of DEBtox is delivered with this book. Five persons contributed directly to parts of this book. Kees van Leeuwen and Jack de Bruijn wrote the introduction. They work at the Dutch Ministry for the Environment(VROM),DenHaag. MatthijsLuger, whodidagreatjobinthecoding of DEBtox, taught us a lot about the ins and outs of the programming language C andaboutthefinerdetailsofWindowsandUnix. HedidhisworkattheDepartment Preface ix of Theoretical Biology of the Vrije Universiteit Amsterdam (see final chapter). We enjoyedthecollaborationwithArnbjørnHanstveitandNielsNyholmonalgalgrowth very much. Arnbjørn is working at the Institute of Environmental Sciences Delft, MW-TNO (presently reorganized as TNO-nutrition Zeist); Niels is working at the InstituteofEnvironmentalSciences&Engineering, TechnicalUniversityofDenmark in Lyngby. Many other people have contributed to this work; too many to thank them in- dividually. We are especially grateful to those who allowed us to use their data as examples to develop our method, colleagues who discussed the technical issues on data analysis with us, and the OECD (Nicky Grandy) and the Dutch Ministry for the Environment (VROM, Jack de Bruijn and Cees van Leeuwen) for their very positive attitude and their stimulating efforts. Mike Newman, Spliid Hendrik, Jos´e Tarazona, Nico van Straalen, Wolfgang Bo¨deker, Reinhard Meister and Hugo van den Berg made many helpful comments on the manuscript. Theo Helder (VROM) gave valuable advice on Good Laboratory Practice and related quality standards as applied to DEBtox. We are also very grateful to the people who tested a pre-release of DEBtox: Tom Aldenberg (RIVM), Jens Andersen (IMM, TU-Denmark), Jack de Bruijn (VROM), Cees van Gestel (VU-Amsterdam), Arnbjørn Hanstveit (TNO-Nutr.), Udo Hommen (TU-Aachen), Frans Leeuwerik (VU-Amsterdam), David Mauriello (US-EPA), Hans Toni Ratte (TU-Aachen), Theo Traas (RIVM), Manon Vaal (RIVM), Wouter Vaes (RITOX, Utrecht University), Jos van Wezel (VU-Amsterdam), Maurice Zeeman (US-EPA). Last but not least we want to thank Mari¨elle Bedaux and Truus Meijer for their support and patience during the many evenings and weekends, when office hours proved to be insufficient to meet the time schedule. This work has been financially supported by VROM and Grant PAD 90-18 from the Alternative to Animal Experiments Platform. Bas Kooijman Jacques Bedaux Dept of Theoretical Biology Vrije Universiteit Amsterdam x Preface

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perturbations. 2.1 Introduction. Ecotoxicology. Ecotoxicology developed from human toxicology and pharmacology; these roots are still clearly visible today. Animals originally served just as models for humans, only much later was the health of animals themselves given some interest. The extension t
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