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CPS1952 Michele N. et al.


                          A statistical modelling framework for mapping
                                        malaria seasonality
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               Michele Nguyen , Jennifer Rozier , Suzanne Keddie , Rosalind E. Howes ,
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             Timothy C. D. Lucas , Daniel J. Weiss , Katherine E. Battle , Peter W. Gething ,
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             Ewan Cameron , Harry S. Gibson , Mauricette Andriamananjara Nambinisoa
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                     1 Malaria Atlas Project, Big Data Institute, University of Oxford, Oxford, UK
                        2 National Malaria Control Programme, Antananarivo, Madagascar

            Abstract
                Many  malaria-endemic  areas  experience  seasonal  fluctuations  in  cases
            because the mosquito vector’s life cycle is dependent on the environment.
            While  most  existing  maps  of  malaria  seasonality  use  fixed  thresholds  of
            rainfall,  temperature  and  vegetation  indices  to  find  suitable  transmission
            months,  we  develop  a  spatiotemporal  statistical  model  for  the  seasonal
            patterns derived directly from case data.
                A  log-linear  geostatistical  model  is  used  to  estimate  the  monthly
            proportions of total annual cases and establish a consistent definition of a
            transmission season. Two-component von Mises distributions are also fitted
            to  identify  useful  characteristics  such  as  the  transmission  start  and  end
            months, the length of transmission and the associated levels of uncertainty.
            To  provide  a  picture  of  “how  seasonal”  a  location  is  compared  to  its
            neighbours,  we  develop  a  seasonality  index  which  combines  the  monthly
            proportion  estimates  and  existing  estimates  of  annual  case  incidence.  The
            methodology  is  illustrated  using  administrative  level  data  from  the  Latin
            America and Caribbean region.

            Keywords
            Seasonality;  Spatiotemporal  Statistics;  Geostatistics;  Infectious  diseases;
            Malaria

            1.   Introduction
                Malaria is a disease caused by the Plasmodium parasite and remains a
            major  cause  of  child  mortality  in  sub-Saharan  Africa  (World  Health
            Organisation  2018).  Like  that  of  many  other  infectious  diseases,  malaria
            transmission  exhibits  seasonality  across  endemic  areas.  Understanding
            location-specific seasonal characteristics is useful for maximising the impact
            of  interventions,  developing  early  warning  systems  as  well  as  improving
            models relating indicators of transmission and disease (Stuckey et al. 2014).
                To this end, maps of malaria seasonality have been developed. By using
            thresholds on environmental factors, one can determine the months suitable
            for  transmission  (Cairns  et  al.  2012,  Gemperli  et  al  2006).  Since  seasonal
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