References
Ambrosio Flores, Luis, Luis Iglesias Martı́nez, and Carmen Marı́n Ferrer. 2003. “Systematic Sample Design for the Estimation of Spatial Means.” Environmetrics: The Official Journal of the International Environmetrics Society 14 (1): 45–61.
Aune-Lundberg, Linda, and Geir-Harald Strand. 2014. “Comparison of Variance Estimation Methods for Use with Two-Dimensional Systematic Sampling of Land Use/Land Cover Data.” Environmental Modelling & Software 61: 87–97.
Bolker, Benjamin M, Beth Gardner, Mark Maunder, Casper W Berg, Mollie Brooks, Liza Comita, Elizabeth Crone, et al. 2013. “Strategies for fitting nonlinear ecological models in R, AD Model Builder, and BUGS.” Methods in Ecology and Evolution 4 (6): 501–12.
Brus, DJ, and NPA Saby. 2016. “Approximating the Variance of Estimated Means for Systematic Random Sampling, Illustrated with Data of the French Soil Monitoring Network.” Geoderma 279: 77–86.
Chambers, Ray, and Robert Clark. 2012. An Introduction to Model-Based Survey Sampling with Applications. Vol. 37. Oxford University Press.
Chang, K-L, S Guillas, and VE Fioletov. 2015. “Spatial Mapping of Ground-Based Observations of Total Ozone.” Atmospheric Measurement Techniques 8 (10): 4487–4505.
D’Orazio, Marcello. 2003. “Estimating the Variance of the Sample Mean in Two-Dimensional Systematic Sampling.” Journal of Agricultural, Biological, and Environmental Statistics 8 (3): 280.
Dunn, R, and A R Harrison. 1993. “Two-Dimensional Systematic Sampling of Land Use.” Journal of the Royal Statistical Society: Series C (Applied Statistics) 42 (4): 585–601.
Fewster, R M. 2011. “Variance Estimation for Systematic Designs in Spatial Surveys.” Biometrics 67 (4): 1518–31.
Fewster, Rachel M, Stephen T Buckland, Kenneth P Burnham, David L Borchers, Peter E Jupp, Jeffrey L Laake, and Len Thomas. 2009. “Estimating the Encounter Rate Variance in Distance Sampling.” Biometrics 65 (1): 225–36.
Fournier, David A, Hans J Skaug, Johnoel Ancheta, James Ianelli, Arni Magnusson, Mark N Maunder, Anders Nielsen, and John Sibert. 2012. “AD Model Builder: Using Automatic Differentiation for Statistical Inference of Highly Parameterized Complex Nonlinear Models.” Optimization Methods and Software 27 (2): 233–49.
Gómez-Rubio, Virgilio. 2020. Bayesian Inference with INLA. CRC Press.
Johnson, Devin S, Jeffrey L Laake, and Jay M Ver Hoef. 2010. “A Model-Based Approach for Making Ecological Inference from Distance Sampling Data.” Biometrics 66 (1): 310–18.
Kristensen, Kasper, Anders Nielsen, Casper W. Berg, Hans Skaug, and Bradley M. Bell. 2016. “TMB: Automatic Differentiation and Laplace Approximation.” Journal of Statistical Software 70 (5): 1–21. https://doi.org/10.18637/jss.v070.i05.
Lindgren, Finn, and Håvard Rue. 2015. “Bayesian Spatial Modelling with R-INLA.” Journal of Statistical Software 63 (19): 1–25. http://www.jstatsoft.org/v63/i19/.
Lindgren, Finn, Håvard Rue, and Johan Lindström. 2011. “An Explicit Link Between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 73 (4): 423–98.
McGarvey, Richard, Paul Burch, and Janet M Matthews. 2016. “Precision of Systematic and Random Sampling in Clustered Populations: Habitat Patches and Aggregating Organisms.” Ecological Applications 26 (1): 233–48.
Millar, Russell B. 2011. Maximum likelihood estimation and inference: with examples in R, SAS and ADMB. Vol. 111. John Wiley & Sons.
Millar, Russell B, and Danette Olsen. 1995. “Abundance of Large Toheroa (Paphies Ventricosa Gray) at Oreti Beach, 1971–90, Estimated from Two-Dimensional Systematic Samples.” New Zealand Journal of Marine and Freshwater Research 29 (1): 93–99.
Muff, Stefanie, Johannes Signer, and John Fieberg. 2020. “Accounting for Individual-Specific Variation in Habitat-Selection Studies: Efficient Estimation of Mixed-Effects Models Using Bayesian or Frequentist Computation.” Journal of Animal Ecology 89 (1): 80–92.
Shelton, Andrew Olaf, James T Thorson, Eric J Ward, and Blake E Feist. 2014. “Spatial Semiparametric Models Improve Estimates of Species Abundance and Distribution.” Canadian Journal of Fisheries and Aquatic Sciences 71 (11): 1655–66.
Simmonds, E John, and Robert J Fryer. 1996. “Which Are Better, Random or Systematic Acoustic Surveys? A Simulation Using North Sea Herring as an Example.” ICES Journal of Marine Science 53 (1): 39–50.
Ståhl, Göran, Svetlana Saarela, Sebastian Schnell, Sören Holm, Johannes Breidenbach, Sean P Healey, Paul L Patterson, et al. 2016. “Use of Models in Large-Area Forest Surveys: Comparing Model-Assisted, Model-Based and Hybrid Estimation.” Forest Ecosystems 3 (1): 1–11.
Strand, Geir-Harald. 2017. “A Study of Variance Estimation Methods for Systematic Spatial Sampling.” Spatial Statistics 21: 226–40.
Thorson, James T, and Kasper Kristensen. 2016. “Implementing a Generic Method for Bias Correction in Statistical Models Using Random Effects, with Spatial and Population Dynamics Examples.” Fisheries Research 175: 66–74.
Tierney, Luke, Robert E Kass, and Joseph B Kadane. 1989. “Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions.” Journal of the American Statistical Association 84 (407): 710–16.
Walline, Paul D. 2007. “Geostatistical simulations of eastern Bering Sea walleye pollock spatial distributions, to estimate sampling precision.” ICES Journal of Marine Science 64 (3): 559–69. https://doi.org/10.1093/icesjms/fsl045.
Wolter, Kirk M. 1984. “An Investigation of Some Estimators of Variance for Systematic Sampling.” Journal of the American Statistical Association 79 (388): 781–90.
Wood, Simon N. 2017. Generalized Additive Models: An Introduction with R. CRC press. https://doi.org/10.1201/9781315370279.