Prior-predictive heatmaps for guiding modeling choices in occupancy and N-mixture models
katharine.banner@montana.edu
References
Amrhein, Valentin, David Trafimow, and Sander Greenland. 2019. “Inferential Statistics as Descriptive Statistics: There Is No Replication Crisis If We Don’t Expect Replication.” The American Statistician 73 (sup1): 262–70. https://doi.org/10.1080/00031305.2018.1543137.
Betancourt, Michael. 2020. “Towards a Principled Bayesian Workflow.” 2020.
Doser, Jeffrey W., Andrew O. Finley, and Sudipto Banerjee. 2023. “Joint Species Distribution Models with Imperfect Detection for High-Dimensional Spatial Data.” Ecology, e4137. https://doi.org/10.1002/ecy.4137.
Gabry, J, D Simpson, A Vehtari, M Betancourt, and A Gelman. 2019. “Visualization in Bayesian Workflow.” Journal of the Royal Statistical Socciety Series A 182: 389–402. https://doi.org/10.1111/rssa.12378.
Gelman, Andrew, Aki Vehtari, McElreath Richard, Daniel Simpson, Charles C. Margossian, Yuling Yao, Lauren Kennedy, et al. 2026. Bayesian Workflow. Boca Raton, FL: CRC Press, Taylor & Francis Group. https://doi.org/10.1201/9781003044024.
Higgs, Megan D. 2026. “Building a Backdrop of Meaning in Magnitude (BoMM) as Part of Research Workflow.” Philosophical Transactions of the Royal Society A 384 (20240603). https://doi.org/10.1098/rsta.2024.0603.
Hocking, Ronald R. 2003. Methods and Applications of Linear Models. Edited by Second Edition. Hoboken, NJ: John Wiley & Sons.
Irvine, Kathryn M, Rodhouse Banner Katharine M, Michael Dumelle, Tasso C Cocoves, Bradley A Strickland, Gina Ralph, Tylan Dean, et al. In submission. “Operationalizing the Adaptive Monitoring Paradigm: Assessing Implications of Misalignment Between Monitoring Design Architecture and Measurable Objectives.” Ecological Indicators, In submission.
Kery, Mark, and Andrew Royle. 2016. Applied Hierarchical Modeling in Ecology. Analysis of Distribution, Abundance and Species Richness in r and BUGS. Vol. 1. Academic Press.
Li, Weihao, Dianne Cook, Emi Tanaka, and Susan VanderPlas. 2024. “A Plot Is Worth a Thousand Tests: Assessing Residual Diagnostics with the Lineup Protocol.” Journal of Computational and Graphical Statistics 33 (4): 1497–1511. https://doi.org/10.1080/10618600.2024.2344612.
MacKenzie, Darryl I., James D. Nichols, Gideon B. Lachman, Sam Droege, J. Andrew Royle, and Catherine A. Langtimm. 2002. “Estimating Site Occupancy Rates When Detection Probabilities Are Less Than One.” Ecology 83 (8): 2248–55. https://doi.org/https://doi.org/10.1890/0012-9658(2002)083[2248:ESORWD]2.0.CO;2.
Popovic, G., T. J. Mason, S.M. Drobniak, T. A. Marques, J. Potts, R. Joo, R. Altwegg, et al. 2024. “Four Principles for Improved Statistical Ecology.” Methods in Ecology and Evolution 15: 266–81. https://doi.org/10.1111/2041-210X.14270.
Ramsey, Fred, and Daniel Schaefer. 2012. The Statistical Sleuth: A Course in Methods of Data Analysis. Third Edition. Cengage Learning.
Van der Meersch, Victor, James Regetz, T. Jonathan Davies, and E. M. Wolkovich. 2026. “Closing the Gap Between Statistical and Scientific Workflows for Improved Forecasts in Ecology.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 384 (2321): 20240612. https://doi.org/10.1098/rsta.2024.0612.
Wesner, Jeff S., and Justin P. F. Pomeranz. 2021. “Choosing Priors in Bayesian Ecological Models by Simulating from the Prior Predictive Distribution.” Ecosphere 12 (9): e03739. https://doi.org/10.1002/ecs2.3739.
Wolkovich, EM, T Jonathan Davies, William D Pearse, and Michael Betancourt. 2024. “A Four-Step Bayesian Workflow for Improving Ecological Science.” Unpublished. https://doi.org/arXiv:2408.02603v1.