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. Annual mean sea level data distributed by PSMSL (Permanent Service for the Mean Sea Level) of IAPSO (International Association for the Physical Sciences of the Oceans) were analysed in the search for global sea level co-variants and invariants. The correlation coefcient ρ , taken as a measure of collinearity ρc in time series, was shown to depend on the ratio of two variances and then invariant with the inclination β of the regression line yri(ti) = tan(β)xi + α , α the intercept, relative to the Cartesian coordinated axes. Also invariant with the trends βt is the distance i of the discrete data points (xi, yi)i = 1, 2 . . . , n , to the regression straight line previously calculated. The mean over all i was taken as a measure, a coefcient of proximity of each series. Analysis of the two coefcients allowed the denition of a variable F = ρc × whose values, in consequence, are also invariants with the trends βt of the individual series. The same can be said about the F distribution shape, in a plot that allowed the comparison of the F values of all ports round the globe. Ports as of Cananeia (Brazil), San Francisco (USA), Brest (France), Antofagasta (Chile), and Takoradi, from Gana (Africa), occupy very distinct and relatively permanent positions in the plot, which, for longer series, are also invariant with their length in years. Analyses of a plot of ρc and βt showed also that although they are statistically mutually invariants, their values, calculated from PSMSL series, seem to be distributed as covariant variables. All mentioned invariance and co-variance seem related to what appears to be a limit globally imposed on the variability of planetary sea level series from all ports of islands and continents, by the Earth’s gravity eld. The study of the induced co-variance between , ρc and the F values, with the trends , may help to unveil the characteristics of the constraints on the planetary relative to sea level series. Keywords: collinearity coefcient, proximity coefcient, PSMSL series, regression line, planetary series, trend invariants. RESUMO. Valores medios anuais de nivel do mar distribuidos pelo PSMSL (Servico Permanente para o Nivel do Mar) da IAPSO (Associacao Internacional para as Ciencias Fisicas dos Oceanos) sao analisados na procura de invariantes globais do nivel do mar. O coeciente de correlacao ρ , admitido como uma medida da colinearidade em series de tempo ρc, foi mostrado ser dependente da razao de duas variâncias e entao invariante com relacao a inclinacao β da reta de regressao relativa aos eixos coordenados cartesianos. Tambem invariante com a inclinacao β e a distância media dos pontos discretos da serie ate a reta de regressao. A distância media e tomada como uma medida, como um coeciente de proximidade dos pontos da serie a reta. A analise desses coecientes ( ρc e ) e sua invariância com relacao a rotacao do sistema de coordenadas permitiram a denicao de uma variavel F = ρc × que e tambem invariante com o sistema e pode ser tomada como uma constante de cada s´erie, que caracteriza cada serie do conjunto de series planetarias e, em consequencia a distribuicao dos valores F contidos nas series PSMSL. Nessa distribuicao os portos de Cananeia (Brasil), Sao Francisco, (EUA), Brest (Franca), Antofagasta (Chile) e Takoradi, Ghana (Africa), ocupam posicoes bastante particulares, relativamente permanentes e invariantes com o comprimento das series. Analises das variaveis colinearidade ρc e tendencias βt, mostraram tambem, que embora elas sejam estatisticamente mutuamente invariantes, seus valores calculados a partir das series PSMSL, sao linear e globalmente distribuidos como variaveis covariantes. Isso e interpretado como devido a limites naturais geosicamente impostos nas series planetarias. O estudo dessa dependencia induzida entre ρc, βt, e F , pode, eventualmente, ajudar a descobrir as caracteristicas desses vinculos planetarios. Palavras-chave: coeciente de colinearidade, coeciente de proximidade, series do PSMSL, reta de regressao, series planetaria, tendencias constantes.

SEA LEVEL ANALYSES OF PSMSL SERIES BY PROXIMITY AND COLLINEARITY COEFFICIENTS