Application of a computational model for complex fluvial ecosystems: The population dynamics of zebra mussel Dreissena polymorpha as a case study

Abstract The potential and adaptive flexibility of population dynamic P-systems (PDP) to study population dynamics suggests that they may be suitable for modelling complex fluvial ecosystems, characterized by a composition of dynamic habitats with many variables that interact simultaneously. Using as a model a reservoir occupied by the zebra mussel Dreissena polymorpha, we designed a computational model based on P systems to study the population dynamics of larvae, in order to evaluate management actions to control or eradicate this invasive species. The population dynamics of this species was simulated under different scenarios ranging from the absence of water flow change to a weekly variation with different flow rates, to the actual hydrodynamic situation of an intermediate flow rate. Our results show that PDP models can be very useful tools to model complex, partially desynchronized, processes that work in parallel. This allows the study of complex hydroecological processes such as the one presented, where reproductive cycles, temperature and water dynamics are involved in the desynchronization of the population dynamics both, within areas and among them. The results obtained may be useful in the management of other reservoirs with similar hydrodynamic situations in which the presence of this invasive species has been documented.

[1]  D. Strayer,et al.  Long-term changes in a population of an invasive bivalve and its effects , 2011, Oecologia.

[2]  B. Hannon,et al.  The Zebra Mussel , 1994 .

[3]  R. Chisholm.  Invasion Biology , 2010 .

[4]  T. Higgins,et al.  Effects of recent zebra mussel invasion on water chemistry and phytoplankton production in a small Irish lake , 2008 .

[5]  D. Macneill,et al.  Impact of the Zebra Mussel, a Bivalve InvaderDreissena polymorpha is rapidly colonizing hard surfaces throughout waterways of the United States and Canada , 1993 .

[6]  Antônio Moser.  Ecologia , 1992, Revista Eclesiástica Brasileira.

[7]  Stephan Gollasch,et al.  Invasive Aquatic Species of Europe. Distribution, Impacts and Management , 2002, Springer Netherlands.

[8]  Serge M. Garcia,et al.  Viability theory for an ecosystem approach to fisheries , 2005 .

[9]  S. Petrie,et al.  Rapid Increase and Subsequent Decline of Zebra and Quagga Mussels in Long Point Bay, Lake Erie: Possible Influence of Waterfowl Predation , 1999 .

[10]  J. Borcherding.  The annual reproductive cycle of the freshwater mussel Dreissena polymorpha Pallas in lakes , 1991, Oecologia.

[11]  T. Henzinger,et al.  Executable cell biology , 2007, Nature Biotechnology.

[12]  Chris J. Johnson,et al.  An evaluation of mapped species distribution models used for conservation planning , 2005, Environmental Conservation.

[13]  D. Simberloff,et al.  Positive Interactions of Nonindigenous Species: Invasional Meltdown? , 1999, Biological Invasions.

[14]  Antoni Margalida,et al.  Modelling the effects of sanitary policies on European vulture conservation , 2012, Scientific Reports.

[15]  Marten Scheffer,et al.  A strategy to improve the contribution of complex simulation models to ecological theory , 2005 .

[16]  R. Claudi,et al.  Practical Manual for Zebra Mussel Monitoring and Control , 1993 .

[17]  Donna J. Lee,et al.  Technology adoption and mitigation of invasive species damage and risk: application to zebra mussels , 2012 .

[18]  H. Jenner,et al.  Cooling water management in European power stations Biology and control of fouling , 1998 .

[19]  D. Strayer,et al.  Long‐term demography of a zebra mussel (Dreissena polymorpha) population , 2006 .

[20]  D. Padilla,et al.  Impacts of Zebra Mussels on Aquatic Communities and their Role as Ecosystem Engineers , 2002 .

[21]  Mario J. Pérez-Jiménez,et al.  A bio-inspired computing model as a new tool for modeling ecosystems: The avian scavengers as a case study , 2011 .

[22]  Daniel J. Phaneuf,et al.  Modeling the human-induced spread of an aquatic invasive: The case of the zebra mussel ☆ , 2009 .

[23]  Mario J. Pérez-Jiménez,et al.  MeCoSim: A general purpose software tool for simulating biological phenomena by means of P systems , 2010, 2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA).

[24]  D. Padilla,et al.  Changes in the distribution and abundance of Dreissena polymorpha within lakes through time , 2006, Hydrobiologia.

[25]  M. Gatto,et al.  Modelling the local dynamics of the zebra mussel (Dreissena polymorpha) , 2007 .

[26]  J. Ackerman,et al.  A review of the early life history of zebra mussels (Dreissena polymorpha): comparisons with marine bivalves , 1994 .

[27]  G. Ribi,et al.  Density variation of the zebra mussel Dreissena polymorpha in Lake Zürich, from 1976 to 1988 , 1998, Aquatic Sciences.

[28]  Malka Gorfine,et al.  Sensitivity analysis for complex ecological models - A new approach , 2011, Environ. Model. Softw..

[29]  Mario J. Pérez-Jiménez,et al.  Modeling Ecosystems Using P Systems: The Bearded Vulture, a Case Study , 2009, Workshop on Membrane Computing.

[30]  R. Bailey,et al.  The Ecology of the Zebra Mussel (Dreissena polymorpha) in the Lower Great Lakes of North America: I. Population Dynamics and Growth , 1999 .

[31]  Dan Minchin,et al.  Ireland: a new frontier for the zebra mussel Dreissena polymorpha [Pallas] , 2005 .

[32]  A. Vaate,et al.  Shell growth of the zebra mussel (Dreissena polymorpha (Pallas)) in relation to selected physicochemical parameters in the Lower Rhine and some associated lakes , 1992 .

[33]  R. F. McMahon,et al.  Impact of European zebra mussel infestation to the electric power industry , 1990 .

[34]  Willem Goedkoop,et al.  Current and modeled potential distribution of the zebra mussel (Dreissena polymorpha) in Sweden , 2009, Biological Invasions.

[35]  Mario J. Pérez-Jiménez,et al.  Population Dynamics P System (PDP) Models: A Standardized Protocol for Describing and Applying Novel Bio-Inspired Computing Tools , 2013, PloS one.

[36]  David B. Lindenmayer,et al.  A Review of the Generic Computer Programs ALEX, RAMAS/space and VORTEX for Modelling the Viability of Wildlife Metapopulations , 1995 .

[37]  A. Margalida,et al.  Can Wild Ungulate Carcasses Provide Enough Biomass to Maintain Avian Scavenger Populations? An Empirical Assessment Using a Bio-Inspired Computational Model , 2011, PloS one.

[38]  D. C. Aldridge,et al.  Estimating the financial costs of freshwater invasive species in Great Britain: a standardized approach to invasive species costing , 2011, Biological Invasions.

[39]  Larry J. Weber,et al.  Mussel dynamics model: A hydroinformatics tool for analyzing the effects of different stressors on the dynamics of freshwater mussel communities , 2006 .

[40]  M. Soulé,et al.  Lag times in population explosions of invasive species: causes and implications , 1999 .

[41]  Donna J. Lee,et al.  Optimal Management of a Potential Invader: The Case of Zebra Mussels in Florida , 2007, Journal of Agricultural and Applied Economics.

[42]  S. Higgins,et al.  What a difference a species makes: a meta–analysis of dreissenid mussel impacts on freshwater ecosystems , 2010 .

[43]  Antoni Palau-Ibars,et al.  Physical habitat of zebra mussel (Dreissena polymorpha) in the lower Ebro River (Northeastern Spain): influence of hydraulic parameters in their distribution , 2013, Hydrobiologia.

[44]  T. Newton,et al.  A methodological framework for integrating computational fluid dynamics and ecological models applied to juvenile freshwater mussel dispersal in the Upper Mississippi River. , 2010 .

[45]  H. Locke,et al.  Rethinking protected area categories and the new paradigm , 2005, Environmental Conservation.

[46]  E. Navarro,et al.  Limnological Characterization and Flow Patterns of a Three-coupled Reservoir System and Their Influence on Dreissena polymorpha Populations and Settlement During the Stratification Period , 2006 .

[47]  A. Ricciardi.  Facilitative interactions among aquatic invaders: is an "invasional meltdown" occurring in the Great Lakes? , 2001 .

[48]  David L. Strayer,et al.  Relationships between zebra mussels (Dreissena polymorpha) and unionid clams during the early stages of the zebra mussel invasion of the Hudson River , 1996 .

[49]  N. Ray,et al.  Subjective uncertainties in habitat suitability maps , 2006 .

[50]  Kevin S. Cummings,et al.  A Transportation Model Assessment of the Risk to Native Mussel Communities from Zebra Mussel Spread , 1998 .

[51]  Atulya K. Nagar,et al.  Computing with membranes and picture arrays , 2015, J. Discrete Algorithms.

[52]  Gheorghe Paun,et al.  The Oxford Handbook of Membrane Computing , 2010 .

[53]  Mario J. Pérez-Jiménez,et al.  A P System Based Model of an Ecosystem of Some Scavenger Birds , 2009, Workshop on Membrane Computing.

[54]  Uta Berger,et al.  Pattern-Oriented Modeling of Agent-Based Complex Systems: Lessons from Ecology , 2005, Science.

[55]  A. Ricciardi,et al.  Impacts of Dreissena invasions on benthic macroinvertebrate communities: a meta‐analysis , 2007 .

[56]  Doreen Schweizer,et al.  Cellular Automata And Complexity Collected Papers , 2016 .

[57]  David L. Strayer,et al.  Twenty years of zebra mussels: lessons from the mollusk that made headlines , 2009 .

[58]  D. Pimentel,et al.  Update on the environmental and economic costs associated with alien-invasive species in the United States , 2005 .