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CPS1952 Michele N. et al.
                  malaria chemoprevention has been shown to be most effective when delivered
                  over three months, these maps can be useful for targeting such interventions
                  (Cairns et al. 2012).
                      Despite  their  functionality,  the  threshold-based  maps  have  several
                  limitations. Although the environment is a key driver of seasonality, there are
                  other contributors such as migration (Martinez 2018). The same environmental
                  factors could also affect different areas differently: rain, for example, can both
                  create  and  wash  away  mosquito  breeding  sites  depending  on  the  local
                  topology  and  rainfall  intensity  (Martinez  2018).  Using  environmental
                  thresholds  does  not  allow  for  other  potential  drivers  or  account  for  the
                  variation of responses.
                      Another  class  of  seasonality  maps  relates  to  concentration  indices.  To
                  quantify the distribution of malaria cases in each district over a year, Mabaso
                  et al. (2005) used Markham's concentration index which was previously used
                  to determine rainfall concentrations. Their concentration maps from the case
                  numbers  estimated  using  a  Bayesian  spatiotemporal  regression  model
                  displayed clearer spatial patterns than those derived from raw case numbers.
                  Spatiotemporal models smooth out idiosyncratic deviations to enable us to
                  focus  on  the  main  seasonal  trend.  They  are  also  useful  for  relating  the
                  seasonality  to  input  covariates  and  account  for  unknown  spatiotemporal
                  effects.
                      In  this  paper,  we  present  a  modelling  framework  for  a  cohesive  and
                  evidence-based  analysis  of  malaria  seasonality.  Using  a  spatiotemporal
                  geostatistical  model,  we  obtain  maps  of  various  seasonality  measures
                  including the number of transmission periods in a year, as well as start and
                  end  months  of  each  transmission  season.  Unlike  previous  work,  we  also
                  present the uncertainty associated with each map. A seasonality index from
                  the  rainfall  literature  is  adapted  to  give  a  visual  impression  of  both  the
                  distribution and magnitude of malaria cases over a year. The methodology is
                  illustrated  using  administrative  level  data  from  the  Latin  America  and
                  Caribbean (LAC) region.

                  2.   Methodology

                  2.1 Original seasonality index
                      As suggested by Feng et al. (2013), “how seasonal” a location  is can be
                  expressed  as  the  product  of  an  entropy  measure  (  )  and  the  relative
                                                                         
                               
                  amplitude (     ):
                              
                                                             
                                                 =   ×     ,
                                                
                                                      
                                                           

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