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      Abrupt events and population synchrony in the dynamics of Bovine Tuberculosis

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          Abstract

          Disease control strategies can have both intended and unintended effects on the dynamics of infectious diseases. Routine testing for the harmful pathogen Bovine Tuberculosis (bTB) was suspended briefly during the foot and mouth disease epidemic of 2001 in Great Britain. Here we utilize bTB incidence data and mathematical models to demonstrate how a lapse in management can alter epidemiological parameters, including the rate of new infections and duration of infection cycles. Testing interruption shifted the dynamics from annual to 4-year cycles, and created long-lasting shifts in the spatial synchrony of new infections among regions of Great Britain. After annual testing was introduced in some GB regions, new infections have become more de-synchronised, a result also confirmed by a stochastic model. These results demonstrate that abrupt events can synchronise disease dynamics and that changes in the epidemiological parameters can lead to chaotic patterns, which are hard to be quantified, predicted, and controlled.

          Abstract

          The disease dynamics of bovine tuberculosis have been of interest given the pathogen’s effect on wild animal and livestock health. Here, the authors show that a brief cessation of testing for bovine tuberculosis in 2001 altered the population synchrony of the disease dynamics across regions of Great Britain.

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          Wavelet analysis of ecological time series.

          Wavelet analysis is a powerful tool that is already in use throughout science and engineering. The versatility and attractiveness of the wavelet approach lie in its decomposition properties, principally its time-scale localization. It is especially relevant to the analysis of non-stationary systems, i.e., systems with short-lived transient components, like those observed in ecological systems. Here, we review the basic properties of the wavelet approach for time-series analysis from an ecological perspective. Wavelet decomposition offers several advantages that are discussed in this paper and illustrated by appropriate synthetic and ecological examples. Wavelet analysis is notably free from the assumption of stationarity that makes most methods unsuitable for many ecological time series. Wavelet analysis also permits analysis of the relationships between two signals, and it is especially appropriate for following gradual change in forcing by exogenous variables.
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            Noisy clockwork: time series analysis of population fluctuations in animals.

            Both biotic interactions and abiotic random forcing are crucial influences on population dynamics. This frequently leads to roughly equal importance of deterministic and stochastic forces. The resulting tension between noise and determinism makes ecological dynamics unique, with conceptual and methodological challenges distinctive from those in other dynamical systems. The theory for stochastic, nonlinear ecological dynamics has been developed alongside methods to test models. A range of dynamical components has been considered-density dependence, environmental and demographic stochasticity, and climatic forcing-as well as their often complex interactions. We discuss recent advances in understanding ecological dynamics and testing theory using long-term data and review how dynamical forces interact to generate some central field and laboratory time series.
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              Cattle movements and bovine tuberculosis in Great Britain.

              For 20 years, bovine tuberculosis (BTB) has been spreading in Great Britain (England, Wales and Scotland) and is now endemic in the southwest and parts of central England and in southwest Wales, and occurs sporadically elsewhere. Although its transmission pathways remain poorly understood, the disease's distribution was previously modelled statistically by using environmental variables and measures of their seasonality. Movements of infected animals have long been considered a critical factor in the spread of livestock diseases, as reflected in strict import/export regulations, the extensive movement restrictions imposed during the 2001 foot-and-mouth disease outbreak, the tracing procedures after a new case of BTB has been confirmed and the Government's recently published strategic framework for the sustainable control on BTB. Since January 2001 it has been mandatory for stock-keepers in Great Britain to notify the British Cattle Movement Service of all cattle births, movements and deaths. Here we show that movements as recorded in the Cattle Tracing System data archive, and particularly those from areas where BTB is reported, consistently outperform environmental, topographic and other anthropogenic variables as the main predictor of disease occurrence. Simulation distribution models for 2002 and 2003, incorporating all predictor categories, are presented and used to project distributions for 2004 and 2005.
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                Author and article information

                Contributors
                arismoustakas@gmail.com
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                19 July 2018
                19 July 2018
                2018
                : 9
                : 2821
                Affiliations
                [1 ]ISNI 0000 0001 2170 1621, GRID grid.440600.6, Institute for Applied Data Analytics, , Universiti Brunei Darussalam, ; Jalan Tungku Link, Gadong, BE 1410 Brunei Darussalam
                [2 ]ISNI 0000000121742757, GRID grid.194645.b, School of Biological Sciences, Kadoorie Biological Sciences Building, , The University of Hong Kong, ; Pok Fu Lam Road, Hong Kong, SAR China
                [3 ]ISNI 0000 0004 0622 3117, GRID grid.6809.7, School on Environmental Engineering, , Technical University of Crete, Polytechnioupolis, ; Chania, 73100 Greece
                [4 ]ISNI 0000 0004 0393 8299, GRID grid.419879.a, Department of Agriculture, , Technological Educational Institute of Crete, Estavromenos, ; Heraklion, 71004 Greece
                [5 ]ISNI 0000 0001 2238 631X, GRID grid.15866.3c, Faculty of Environmental Sciences, , Czech University of Life Sciences Prague, ; Kamýcká 129, Praha-Suchdol, 165 00 Czech Republic
                Author information
                http://orcid.org/0000-0003-0144-8969
                Article
                4915
                10.1038/s41467-018-04915-0
                6053421
                30026483
                5cc7c45b-fda7-4fa3-a345-9cb3febd4d48
                © The Author(s) 2018

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 15 November 2017
                : 1 June 2018
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