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CPS2003 Bruno de S. et al.


                                 Structured additive Regression Modeling of
                                      pulmonary tuberculosis infection
                                                                              2
                                                               2
                                                 1
                                    1
                    Bruno de Sousa , Carlos Pires , Dulce Gomes , Patrícia Filipe , Ana Costa-
                                             Veiga , Carla Nunes
                                                                 3
                                                  3,4
                        1 Faculty of Psychology and Education Sciences, University of Coimbra, Portugal
                   2 Centro de Investigação em Matemática e Aplicações, Instituto de Investigação e Formação
                      Avançada, Universidade de Évora, Departamento de Matemática, Escola de Ciências e
                                               Tecnologia, Portugal
                       3 CISP - Centro de Investigação em Saúde Pública, National School of Public Health,
                                        Universidade Nova de Lisboa, Portugal
                  4 H&TRC - Health & Technology Research Center, ESTeSL, Lisbon School of Health Technology,
                                  Instituto Politécnico de Lisboa, Av. D. João II, Portugal

                  Abstract
                  Tuberculosis (TB) is one of the top 10 causes of death and the leading cause
                  from a single infectious agent (above HIV/AIDS). In 2017, the World Health
                  Organization  (WHO)  estimated  10.0  million  people  developed  TB  and  1.3
                  million deaths (range, 1.2–1.4 million) among HIV-negative people with an
                  additional  300 000  deaths  from  TB  (range, 266 000–335  000)  among  HIV-
                  positive  people.  Studies  that  understand  the  socio-demographic
                  characteristics,  time  and  spatial  distribution  of  the  disease  are  vital  to
                  allocating resources in order to improve National TB Programs. The database
                  includes information from all confirmed Pulmonary TB (PTB) cases notified in
                  Continental Portugal between 2000 and 2010. Following a descriptive analysis
                  of the main risk factors of the disease, a Structured Additive Regression (STAR)
                  model is presented exploring possible spatial and temporal correlations in PTB
                  incidence rates in order to identify the regions of increased incidence rates.
                  Three main regions are identified as statistically significant areas of increased
                  PTB  incidence  rates  in  Continental  Portugal.  STAR  models  proved  to  be  a
                  valuable and effective approach in identifying PTB incidence rates and will be
                  used in future research to identify the associated risk factors in Continental
                  Portugal, yielding high-level information for decision-making in TB control.

                  Keywords
                  Structured  Additive  Regression  Models;  Pulmonary  Tuberculosis;  Spatial-
                  Temporal Epidemiology; Full Bayesian; Empirical Bayesian

                  1.   Introduction
                      Pulmonary  Tuberculosis  (PTB)  is  an  infectious  disease  which  affects
                  millions of people every year, being the second most deadly infectious disease
                  worldwide after the human immunodeficiency virus (HIV) [1]. The disease is
                  caused  by  the  bacillus  Mycobacterium  tuberculosis  that  affects  mainly  the

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