Analysis of Tide Gauge Data at Baía de Paranaguá, PR
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Abstract
This study analyzes tide gauge data from Paranaguá Bay, in Paraná, Brazil, aiming at characterizing tidal patterns using time series analysis. The methodology comprised the development and application of quality control procedures aiming at identifying and removing spurious data. These procedures resulted in a 9.86% reduction in the variance of harmonic constituents, enabling a substantially larger number of constituents to be resolved across several time series. Harmonic analysis was performed using the AstGeoTop and PACMARÉ software packages. Predominantly semidiurnal tidal behavior was identified at stations located in the middle and inner portions of the bay, whereas a semidiurnal regime with pronounced inequalities prevailed near the bay entrance. Based on the Reduction in Variance (RV) index, harmonic reconstruction accounted, on average, for 82% of observed sea level variability, indicating an approximate 18% contribution from meteorological forcing within the study area. The application of Thompson’s low-pass filter allowed the seasonal structure of tidal residuals to be delineated, revealing positive sea level anomalies during the first half of the year and negative anomalies during the second half. Although the available time series are not sufficiently long to support robust long-term assessments, the results underscore the importance of maintaining continuous tide gauge records for coastal research. Furthermore, the lack of complementary meteorological data constrained a fully integrated analysis of atmospheric forcing and its influence on regional sea level variability.
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Amb Planejamento Ambiental e Biotecnologia Ltda. (2005). Diagnóstico Ambiental [Relatório técnico em PDF]. In: Estudo de Impacto Ambiental (EIA) do Terminal Portuário localizado no município de Pontal do Paraná, PR (Cap. 5, pp. 5-1 – 5-215), Universidade Federal do Paraná, Docs UFPR. https://docs.ufpr.br/~edugeo/Estudos_Ambientais_Litoral/2005_EIA_RIMA_PortoPontal/EIA/Cap%C3%ADtulo%205/Cap%C3%ADtulo%205.1%20diagn%C3%B3stico%20ambiental%20meio%20fisico.pdf.
Andrade, I. O., Carvalho, A. B.; Silva, S. T. & Mont’Alverne, T. C. F. (2024) Economia azul e crescimento econômico: o mar brasileiro em perspectiva. Instituto de Pesquisa Econômica e Aplicada. https://doi.org/10.38116/td3027-port.
Boon, J. D. (2007). Secrets of the Tide. Woodhead Publishing.
Caldwell, P. C., Merrifield, M. A. & Thompson, P. R. (2015). Sea level measured by tide gauges from global oceans as part of the Joint Archive for Sea Level (JASL). https://doi.org/10.7289/v5v40s7w.
Camargo, R. & Harari, J. (2003). Modeling the Paranagua Estuarine Complex, Brazil: tidal circulation and cotidal charts. Revista Brasileira de Oceanografia, 51, p. 23-31.
Courtier, A. (1938). Classification of tides in four types. Conférences sur les Marées. Service Hydrographique de la Marine Française. https://journals.lib.unb.ca.
Dalazoana, R. (2006). Estudos dirigidos à análise temporal do Datum Vertical Brasileiro. [Tese de doutorado, Universidade Federal do Paraná]. Acervo Digital da UFPR. https://acervodigital.ufpr.br.
Franco, A. dos S. (2009). Marés, Fundamentos, Análise e Previsão. 2a ed. Diretoria de Hidrografia e Navegação.
Franz, G. A. S., Marone, E., Noernberg, M. A., Zaleski, S., & Lautert, L. F. (2016). From regional to local scale modelling on the south-eastern Brazilian shelf: Case study of Paranaguá estuarine system. Brazilian Journal of Oceanography, 64(3), 277–294. https://www.scielo.br/j/bjoce/a/NHCJ8s9nyYZ9JDFNd6yStmK/?format=pdf.
Garnés, S. J. A. (2021). AstGeoTop Módulo Análise de Maré [Software, versão 2016]. Universidade Federal de Pernambuco.
Governo do Estado do Paraná. (2025a). Portos do Paraná bate recorde de movimentação em um único mês: 7,3 milhões de toneladas. https://www.parana.pr.gov.br/aen/Noticia/Portos-do-Parana-bate-recorde-de-movimentacao-em-um-unico-mes-73-milhoes-de-toneladas.
Governo do Estado do Paraná. (2025b). Portos do Paraná bate recorde de movimentação de cargas no primeiro semestre de 2025. https://www.parana.pr.gov.br/aen/Noticia/Portos-do-Parana-bate-recorde-de-movimentacao-de-cargas-no-1o-semestre-de-2025.
Governo do Estado do Paraná. (2025c). Com menos restrições de manobras, Porto de Paranaguá ampliará produtividade. https://www.parana.pr.gov.br/aen/Noticia/Com-menos-restricoes-de-manobras-Porto-de-Paranagua-ampliara-produtividade.
Hague, B. S., Jones, D. A., Trewin, B., Jakob, D., Murphy, B. F., Martin, D. J. & Braganza, K. (2022). Anchors: a multi‐decadal tide gauge dataset to monitor australian relative sea level changes. Geoscience Data Journal, v. 9, p. 256-272. https://doi.org/10.1002/gdj3.136.
Harris, C. R., Millman, K. J., Van der Walt, S. J., Gommers, R., Virtanen, P., Cournapeau, D., Wieser, E., Taylor, J., Berg, S., Smith, N. J., Kern, R., Picus, M., Hoyer, S., van Kerkwijk, M. H., Brett, M., Haldane, A., Fernández del Río, J., Wiebe, M., Peterson, P., & Oliphant, T. E. (2020). Array programming with NumPy. Nature, 585(7825), 357–362. https://doi.org/10.1038/s41586-020-2649-2.
Hunter, J. D. (2007). Matplotlib: A 2D graphics environment. Computing in Science & Engineering, 9(3), 90–95. https://doi.org/10.1109/MCSE.2007.55.
Intergovernmental Oceanographic Commission. (2020). Quality control of in situ sea level observations: a review and progress towards automated quality control. (Vol 1). UNESCO. https://unesdoc.unesco.org/ark:/48223/pf0000373566.
Kalil, A. F. D. (1999). Contribuições ao estudo do nível médio do mar no Estado do Rio de Janeiro [Dissertação de mestrado, Universidade Federal do Rio de Janeiro]. Repositório de dissertações da Engenharia Oceânica da UFRJ. https://w1files.solucaoatrio.net.br/atrio/ufrj-peno_upl//THESIS/10002586/1999_mestrado_afonse_kalil_20220125105357605.pdf.
Marinha do Brasil (2023). NORMAM-501/DHN. Diretoria de Hidrografia e Navegação. https://www.marinha.mil.br/dhn/normas-legislacoes.
Marinha do Brasil (2025a). Carta náutica nº 1820 – Proximidades da Barra de Paranaguá. Centro de Hidrografia da Marinha. https://www.marinha.mil.br/chm/dados-do-segnav/cartas-raster?field_numero_raster_value=1820&title=.
Marinha do Brasil (2025b). Plano de Levantamento da Plataforma Continental Brasileira (LEPLAC) Comissão Interministerial para os Recursos do Mar (CIRM). https://www.marinha.mil.br/secirm/pt-br/leplac.
Marone, E., Noernberg, M. A., Lautert, L. F., Santos, I., Fill, H. D., Buba, H., & Marenda, A. (2007). Medições de correntes e curva vazão–maré na Baía de Paranaguá, PR. Boletim Paranaense de Geociências, 60. Biblioteca Digital de Periódicos da Universidade Federal do Paraná https://doi.org/10.5380/geo.v60i0.9598.
Marone, E., Raicich, F., & Mosetti, R. (2013). Harmonic tidal analysis methods on time and frequency domains: similarities and differences for the Gulf of Trieste, Italy, and Paranaguá Bay, Brazil. Bollettino di Geofisica Teorica ed Applicata, 54(2), 183–204. https://bgo.ogs.it/sites/default/files/pdf/bgta0068_MARONE.pdf.
Melo Filho, E. (2017). Maré meteorológica na costa brasileira [Tese de Professor Titular]. Escola de Engenharia, Universidade Federal do Rio Grande. https://sistemas.furg.br/sistemas/sab/arquivos/conteudo_digital/000008808.pdf.
Moura Neto, J. S., & Azevedo, M. A. L. (2022). O Brasil e o mar no século XXI: Subsídios para o aproveitamento sustentável do mar brasileiro (3a ed.). Quiteriense Serviços Gráficos e Editoriais.
Oliveira, M. M. F. de. (2004). Redes neurais artificiais na predição da maré meteorológica em Paranaguá – PR [Dissertação de Mestrado, Universidade Federal do Rio de Janeiro]. Portal de Dados Abertos da CAPES. https://www.oasisbr.ibict.br/vufind/Record/BRCRIS_66119b586ff4d1b3805869454359b0d7
Pugh, D. T. (1987). Tides, Surges and Mean Sea-Level. John Wiley & Sons. https://eprints.soton.ac.uk/19157/1/sea-level.pdf.
R Core Team. (2022). R: A Language and Environment for Statistical Computing (Version 4.2.0) [Computer software]. https://search.gesis.org/publication/zis-RCoreTeam.2022R.
Secretaria de Meio Ambiente, Infraestrutura e Logística (2024). Sistema inédito antecipa risco de ressacas e desastres naturais na costa paulista. Governo do Estado São Paulo. https://semil.sp.gov.br/2024/09/sistema-inedito-antecipa-em-ate-4-dias-risco-de-ressacas-e-desastres-naturais-na-costa-paulista/.
Silva, L. M. da, & Freitas, S. R. C. de (2019). Análise da evolução temporal do datum vertical brasileiro de Imbituba. Revista Cartográfica, 98, 33–57. https://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S2663-39812019000100033.
Sweet, W. V., Dusek, G. P., Obeysekera, J. T. B., & Marra, J. J. (2018). Patterns and projections of high tide flooding along the U.S. coastline using a common impact threshold [NOAA Technical Report NOS CO-OPS 086]. Center for Operational Oceanographic Products and Services, National Oceanic and Atmospheric Administration. https://doi.org/10.7289/V5/TR-NOS-COOPS-086.
Tecchio, R.,Souza, D. C. de, Silva, M. B. L. da, Costa, M. C. de O., Camargo, R., & Harari, J. (2025). Mean sea level, tidal components and surges in Guanabara Bay (Rio de Janeiro) from 1990 to 2021. International Journal of Climatology, 44 (13), 4629-4648. https https://doi.org/10.1002/joc.8600.
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., Walt, S. J. van der, Brett, M., Wilson, J., Millman, K. J., Mayorov, N., Nelson, A. RJ., Jones, E. Kern, R., Larson, E., ... & Vanderplas, J. (2020). SciPy 1.0: Fundamental algorithms for scientific computing in Python. Nature Methods, 17, 261–272. https://www.nature.com/articles/s41592-019-0686-2.