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      Detection error influences both temporal seroprevalence predictions and risk factors associations in wildlife disease models

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          Abstract

          1. Understanding the prevalence of pathogens in invasive species is essential to guide efforts to prevent transmission to agricultural animals, wildlife, and humans. Pathogen prevalence can be difficult to estimate for wild species due to imperfect sampling and testing (pathogens may not be detected in infected individuals and erroneously detected in individuals that are not infected). The invasive wild pig ( Sus scrofa, also referred to as wild boar and feral swine) is one of the most widespread hosts of domestic animal and human pathogens in North America.

          2. We developed hierarchical Bayesian models that account for imperfect detection to estimate the seroprevalence of five pathogens (porcine reproductive and respiratory syndrome virus, pseudorabies virus, Influenza A virus in swine, Hepatitis E virus, and Brucella spp.) in wild pigs in the United States using a dataset of over 50,000 samples across nine years. To assess the effect of incorporating detection error in models, we also evaluated models that ignored detection error. Both sets of models included effects of demographic parameters on seroprevalence. We compared our predictions of seroprevalence to 40 published studies, only one of which accounted for imperfect detection.

          3. We found a range of seroprevalence among the pathogens with a high seroprevalence of pseudorabies virus, indicating significant risk to livestock and wildlife. Demographics had mostly weak effects, indicating that other variables may have greater effects in predicting seroprevalence.

          4. Models that ignored detection error led to different predictions of seroprevalence as well as different inferences on the effects of demographic parameters.

          5. Our results highlight the importance of incorporating detection error in models of seroprevalence and demonstrate that ignoring such error may lead to erroneous conclusions about the risk associated with pathogen transmission. When using opportunistic sampling data to model seroprevalence and evaluate risk factors, detection error should be included.

          Abstract

          We estimated the prevalence of five pathogens, and their associated risk factors, in a widespread invasive species using Bayesian models that account for imperfect detection. We compared models that did and did not account for detection error and found that they resulted in different inferences about prevalence and risk factors associated with prevalence. This paper highlights the importance of accounting for detection error in disease models.

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          Most cited references50

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          Urbanization and Disease Emergence: Dynamics at the Wildlife–Livestock–Human Interface

          Urbanization is characterized by rapid intensification of agriculture, socioeconomic change, and ecological fragmentation, which can have profound impacts on the epidemiology of infectious disease. Here, we review current scientific evidence for the drivers and epidemiology of emerging wildlife-borne zoonoses in urban landscapes, where anthropogenic pressures can create diverse wildlife–livestock–human interfaces. We argue that these interfaces represent a critical point for cross-species transmission and emergence of pathogens into new host populations, and thus understanding their form and function is necessary to identify suitable interventions to mitigate the risk of disease emergence. To achieve this, interfaces must be studied as complex, multihost communities whose structure and form are dictated by both ecological and anthropological factors.
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            The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo

            Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo (MCMC) algorithm that avoids the random walk behavior and sensitivity to correlated parameters that plague many MCMC methods by taking a series of steps informed by first-order gradient information. These features allow it to converge to high-dimensional target distributions much more quickly than simpler methods such as random walk Metropolis or Gibbs sampling. However, HMC's performance is highly sensitive to two user-specified parameters: a step size ε and a desired number of steps L. In particular, if L is too small then the algorithm exhibits undesirable random walk behavior, while if L is too large the algorithm wastes computation. We introduce the No-U-Turn Sampler (NUTS), an extension to HMC that eliminates the need to set a number of steps L. NUTS uses a recursive algorithm to build a set of likely candidate points that spans a wide swath of the target distribution, stopping automatically when it starts to double back and retrace its steps. Empirically, NUTS perform at least as efficiently as and sometimes more efficiently than a well tuned standard HMC method, without requiring user intervention or costly tuning runs. We also derive a method for adapting the step size parameter ε on the fly based on primal-dual averaging. NUTS can thus be used with no hand-tuning at all. NUTS is also suitable for applications such as BUGS-style automatic inference engines that require efficient "turnkey" sampling algorithms. 30 pages, 7 figures
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              A conditioned Latin hypercube method for sampling in the presence of ancillary information

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                Author and article information

                Contributors
                tabakma@gmail.com
                Ryan.s.miller@aphis.usda.gov , ryan.miller@rsmiller.net
                Journal
                Ecol Evol
                Ecol Evol
                10.1002/(ISSN)2045-7758
                ECE3
                Ecology and Evolution
                John Wiley and Sons Inc. (Hoboken )
                2045-7758
                27 August 2019
                September 2019
                : 9
                : 18 ( doiID: 10.1002/ece3.v9.18 )
                : 10404-10414
                Affiliations
                [ 1 ] Center for Epidemiology and Animal Health United States Department of Agriculture Fort Collins Colorado
                [ 2 ] Wildlife Services United States Department of Agriculture Raleigh North Carolina
                Author notes
                [*] [* ] Correspondence

                Michael A. Tabak and Ryan S. Miller, Center for Epidemiology and Animal Health, United States Department of Agriculture, 2150 Centre Ave., Bldg B, Fort Collins, CO 80526, USA.

                Emails: tabakma@ 123456gmail.com (M.A.T.); Ryan.s.miller@ 123456aphis.usda.gov ; ryan.miller@ 123456rsmiller.net (R.S.M.)

                Author information
                https://orcid.org/0000-0002-2986-7885
                https://orcid.org/0000-0003-3892-0251
                Article
                ECE35558
                10.1002/ece3.5558
                6787870
                31632645
                c59a196b-7702-4356-bdc1-ebab0486e0fe
                © 2019 The Authors. Ecology and Evolution published by John Wiley & Sons Ltd.

                This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 24 June 2019
                : 06 July 2019
                Page count
                Figures: 4, Tables: 2, Pages: 11, Words: 8801
                Funding
                Funded by: USDA‐APHIS National Feral Swine Damage Management Program
                Categories
                Original Research
                Original Research
                Custom metadata
                2.0
                September 2019
                Converter:WILEY_ML3GV2_TO_JATSPMC version:5.7.0 mode:remove_FC converted:11.10.2019

                Evolutionary Biology
                detection probability,hierarchical bayesian model,opportunistic sampling,pathogen,prevalence,sensitivity,specificity,wildlife

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