Habitat suitability modelling of rare species using Bayesian networks: Model evaluation under limited data

Paucity of data on rare species is a common problem, preventing the use of most approaches to model development and evaluation. This study demonstrates how models can be developed and different forms of evaluation can be performed despite a lack of sufficient data, by presenting a habitat suitability model for the rare Astacopsis gouldi, the giant freshwater crayfish. We use a Bayesian network approach that readily incorporates incomplete data and allows for the evaluation of uncertainties. To supplement the limited field data on A. gouldi, expert knowledge was elicited through surveys designed to provide probability values that described the strength of relationships between the habitat suitability of the species and three variables – elevation, upstream riparian condition and geomorphic condition – and credible intervals around those values. A series of 18 alternative models were developed based on the same model structure but parameterised using different sources – expert judgement, field data or a combination of the two. The models were evaluated by estimating and comparing their performance accuracy and sensitivity analysis results, and in assessing the assumptions underpinning each of the models. Using performance accuracy as a measure, the data-based and combined expert- and data-based models performed better than the expert-based models. The sensitivity analysis results show that geomorphic condition was the most influential variable in the majority of models and that elevation had minimal influence on the occurrence of A. gouldi. Overall the models were found to have large predictive uncertainties, although the modelling process itself revealed insights into the habitat suitability of the species and identified key knowledge and data gaps for future monitoring, management and research.

[1]  David B. Lindenmayer,et al.  Population viability analysis as a tool in wildlife conservation policy: With reference to Australia , 1993 .

[2]  W. Thuiller,et al.  Predicting species distribution: offering more than simple habitat models. , 2005, Ecology letters.

[3]  Mark A. Burgman,et al.  Toward rigorous use of expert knowledge in ecological research , 2013 .

[4]  Steven J. Phillips,et al.  Sample selection bias and presence-only distribution models: implications for background and pseudo-absence data. , 2009, Ecological applications : a publication of the Ecological Society of America.

[5]  B. Marcot,et al.  Guidelines for developing and updating Bayesian belief networks applied to ecological modeling and conservation , 2006 .

[6]  Erik Lebret,et al.  The use of expert elicitation in environmental health impact assessment: a seven step procedure , 2010, Environmental health : a global access science source.

[7]  Andrea Castelletti,et al.  Bayesian Networks and participatory modelling in water resource management , 2007, Environ. Model. Softw..

[8]  Wayne E. Thogmartin,et al.  The Role of Assumptions in Predictions of Habitat Availability and Quality , 2011 .

[9]  Carmel Pollino,et al.  Examination of conflicts and improved strategies for the management of an endangered Eucalypt species using Bayesian networks , 2007 .

[10]  Jane Elith,et al.  Error and uncertainty in habitat models , 2006 .

[11]  Mark E. Borsuk,et al.  A Bayesian network of eutrophication models for synthesis, prediction, and uncertainty analysis , 2004 .

[12]  C. Pollino,et al.  Bayesian networks for habitat suitability modeling: a potential tool for conservation planning with scarce resources. , 2014, Ecological applications : a publication of the Ecological Society of America.

[13]  J. Hoeting,et al.  FACTORS AFFECTING SPECIES DISTRIBUTION PREDICTIONS: A SIMULATION MODELING EXPERIMENT , 2005 .

[14]  Yaping Lin,et al.  Using a conceptual Bayesian network to investigate environmental management of vegetable production in the Lake Taihu region of China , 2013, Environ. Model. Softw..

[15]  David I. Warton,et al.  Model-Based Control of Observer Bias for the Analysis of Presence-Only Data in Ecology , 2013, PloS one.

[16]  R. Levins The strategy of model building in population biology , 1966 .

[17]  Bronwyn Price,et al.  Using a Bayesian belief network to predict suitable habitat of an endangered mammal – The Julia Creek dunnart (Sminthopsis douglasi) , 2007 .

[18]  Anthony J. Jakeman,et al.  Good Modelling Practice , 2008 .

[19]  G. H. Rosenfield,et al.  A coefficient of agreement as a measure of thematic classification accuracy. , 1986 .

[20]  Adrian C. Newton,et al.  Use of a Bayesian network for Red Listing under uncertainty , 2010, Environ. Model. Softw..

[21]  Kevin B. Korb,et al.  Parameterisation and evaluation of a Bayesian network for use in an ecological risk assessment , 2007, Environ. Model. Softw..

[22]  Peter Davies,et al.  Mapping suitability of habitat for the giant freshwater crayfish, Astacopsis gouldi: background document to GIS mapping layer: Scientific Report 4 , 2007 .

[23]  Anthony J. Jakeman,et al.  Selecting among five common modelling approaches for integrated environmental assessment and management , 2013, Environ. Model. Softw..

[24]  R. Pearson,et al.  Predicting species distributions from small numbers of occurrence records: A test case using cryptic geckos in Madagascar , 2006 .

[25]  S. Ormerod,et al.  New paradigms for modelling species distributions , 2004 .

[26]  Anthony J. Jakeman,et al.  Ten iterative steps in development and evaluation of environmental models , 2006, Environ. Model. Softw..

[27]  W. J. Young,et al.  Nutrient Exports and Land Use in Australian Catchments , 1996 .

[28]  Keith Beven,et al.  Equifinality, data assimilation, and uncertainty estimation in mechanistic modelling of complex environmental systems using the GLUE methodology , 2001 .

[29]  Haizhen Yang,et al.  Prediction analysis of a wastewater treatment system using a Bayesian network , 2013, Environ. Model. Softw..

[30]  M. White,et al.  How Useful Are Species Distribution Models for Managing Biodiversity under Future Climates , 2010 .

[31]  Russell Greiner,et al.  Quantifying the uncertainty of a belief net response: Bayesian error-bars for belief net inference , 2008, Artif. Intell..

[32]  Wallace P. Erickson,et al.  Sampling design begets conclusions: the statistical basis for detection of injury to and recovery of shoreline communities after the Exxon Valdez¹ oil spill , 2001 .

[33]  J. R. Landis,et al.  The measurement of observer agreement for categorical data. , 1977, Biometrics.

[34]  Antoine Guisan,et al.  Predictive habitat distribution models in ecology , 2000 .

[35]  A. Guisan,et al.  An improved approach for predicting the distribution of rare and endangered species from occurrence and pseudo-absence data , 2004 .

[36]  Serena H. Chen,et al.  Good practice in Bayesian network modelling , 2012, Environ. Model. Softw..

[37]  Joseph H. A. Guillaume,et al.  Characterising performance of environmental models , 2013, Environ. Model. Softw..

[38]  Bernard De Baets,et al.  Knowledge-based versus data-driven fuzzy habitat suitability models for river management , 2009, Environ. Model. Softw..

[39]  Peter Davies,et al.  Astacopsis gouldi Clark: habitat characteristics and relative abundance of juveniles , 2005 .

[40]  A. Peterson,et al.  Effects of sample size on the performance of species distribution models , 2008 .

[41]  Caleb Gardner,et al.  Estimating Survival of the Tayatea Astacopsis gouldi (Crustacea, Decapoda, Parastacidae), an Iconic, Threatened Freshwater Invertebrate , 2011 .

[42]  W. Rauch,et al.  Assessing uncertainties in urban drainage models , 2012 .

[43]  Peter Reichert,et al.  On the usefulness of overparameterized ecological models , 1997 .

[44]  Giovanna Jona Lasinio,et al.  Two statistical methods to validate habitat suitability models using presence-only data , 2004 .

[45]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[46]  Anthony J. Jakeman,et al.  From data and theory to environmental model: The case of rainfall runoff , 1994 .

[47]  Pierre Horwitz,et al.  Distribution and conservation status of the Tasmanian giant freshwater lobster Astacopsis gouldi (Decadopa: Parastacidae) , 1994 .

[48]  L. Gibson,et al.  Dealing with uncertain absences in habitat modelling: a case study of a rare ground‐dwelling parrot , 2007 .

[49]  B. Croke,et al.  Addressing ten questions about conceptual rainfall–runoff models with global sensitivity analyses in R , 2013 .

[50]  Rafael Rumí,et al.  Bayesian networks in environmental modelling , 2011, Environ. Model. Softw..

[51]  A. Hirzel,et al.  Do habitat suitability models reliably predict the recovery areas of threatened species , 2010 .

[52]  E. P. Holland,et al.  Modelling with uncertainty: Introducing a probabilistic framework to predict animal population dynamics , 2009 .

[53]  Navinder J. Singh,et al.  Using habitat suitability models to sample rare species in high-altitude ecosystems: a case study with Tibetan argali , 2009, Biodiversity and Conservation.

[54]  R. Sparks,et al.  THE NATURAL FLOW REGIME. A PARADIGM FOR RIVER CONSERVATION AND RESTORATION , 1997 .

[55]  Paul L. Freedman,et al.  Models quantify the total maximum daily load process , 2004 .

[56]  Steven Broekx,et al.  A review of Bayesian belief networks in ecosystem service modelling , 2013, Environ. Model. Softw..

[57]  S. Manel,et al.  Evaluating presence-absence models in ecology: the need to account for prevalence , 2001 .

[58]  Laurence Smith,et al.  The role of expert opinion in environmental modelling , 2012, Environ. Model. Softw..

[59]  Max Henrion,et al.  Uncertainty: A Guide to Dealing with Uncertainty in Quantitative Risk and Policy Analysis , 1990 .

[60]  Uffe Kjærulff,et al.  dHugin: a computational system for dynamic time-sliced Bayesian networks , 1995 .

[61]  Carlo Giupponi,et al.  Integrated assessment of sea-level rise adaptation strategies using a Bayesian decision network approach , 2013, Environ. Model. Softw..

[62]  A. Jakeman,et al.  How much complexity is warranted in a rainfall‐runoff model? , 1993 .

[63]  Laura Uusitalo,et al.  Advantages and challenges of Bayesian networks in environmental modelling , 2007 .

[64]  W. Morris,et al.  POPULATION VIABILITY ANALYSIS IN ENDANGERED SPECIES RECOVERY PLANS: PAST USE AND FUTURE IMPROVEMENTS , 2002 .

[65]  Nir Friedman,et al.  Learning Belief Networks in the Presence of Missing Values and Hidden Variables , 1997, ICML.

[66]  A. Lehmann,et al.  Using Niche‐Based Models to Improve the Sampling of Rare Species , 2006, Conservation biology : the journal of the Society for Conservation Biology.

[67]  A. Tversky,et al.  The framing of decisions and the psychology of choice. , 1981, Science.

[68]  Mark E. Borsuk,et al.  Assessing the decline of brown trout (Salmo trutta) in Swiss rivers using a Bayesian probability network , 2006 .