
Caros, estou tentando ajustar um modelo geoestatístico aos meus dados com auxilio da função likfit, presente no pacote geoR, porém a mesma esta ajustando os parâmetros do modelo muito longe (fora) da distribuição observada no variograma dos dados. Achando que poderia ser alguma influência dos valores iniciais, rodei um ajuste com base na minimização dos quadrados, que ajustou bem os parâmetros a distribuição dos dados. Utilizei os valores do ajuste por minimos quadrados como valores iniciais da função de verossimilhança, e ainda sim não ajustou bem! Gostaria da ajuda de vocês para tentar entender o que esta acontecendo. Outro possível resposta que pensei, seria a transformação dos meus dados, pois os mesmos possuem uma certa assimetria. Mas a dúvida que me resultaria, se eu utiliza-se uma transformação de box-cox, como retornaria os valores ao seu normal após a modelagem e predição! []'s CMR temp <- structure(list(x = c(-42.2225631308, -41.4000579262, -41.8113105285, -42.7386448278, -41.2145910664, -43.101514771, -41.2629737255, -43.2869816308, -41.803246752, -42.569305521, -41.9322671762, -42.9966856763, -43.0128132293, -42.7708999338, -41.7790554224, -44.2949536952, -43.4563209376, -43.4805122672, -42.8757290285, -44.1901246005, -43.5692138089, -44.2143159301, -44.5449307672, -44.7465251801, -43.5530862558, -44.4884843316, -43.9885301877, -43.6014689149, -44.1901246005, -44.7949078392, -45.3996910778, -44.8029716157, -45.0932675703, -45.5287115021, -46.0044743165, -45.762561021, -46.6576402142, -46.7060228733, -45.6980508089, -46.3108978241, -46.6011937786, -45.5125839491, -46.6657039908, -46.9882550514, -45.8512625627, -46.1254309642, -46.1496222938, -46.1576860703, -47.1979132408, -46.7624693089, -47.1495305817, -47.0043826044, -47.1575943582, -47.6414209491, -47.9397806802, -47.7623775969, -47.7543138203, -47.0043826044, -47.1172754756, -47.7946327029, -47.076956593, -47.0850203696, -47.7139949378, -47.1092116991, -47.5365918544, -47.1817856877, -48.0446097749, -47.1656581347, -47.9720357863, -48.1494388696, -48.1494388696, -47.9397806802, -48.1575026461, -48.907433862, -49.0364542863, -48.3832883885, -47.9478444567, -49.0041991802, -48.9800078507, -48.9558165211, -47.9881633393, -48.1575026461, -48.9880716272, -48.4558623772, -49.7380028431, -49.7057477371, -49.9315334795, -50.0605539037, -50.0928090098, -50.3831049643, -50.1250641159, -50.1089365628, -50.3185947522, -50.2944034227, -50.4798702825, -50.9959519795, -50.8346764492, -51.6652454303, -51.7055643129, -51.7297556424), y = c(-23.2774714209, -23.3025323734, -23.4194834851, -23.4278371359, -23.4445444376, -23.4445444376, -23.4696053901, -23.4863126917, -23.5030199934, -23.5030199934, -23.5531418984, -23.6951539626, -23.7035076134, -23.7703368201, -23.8037514234, -23.8455196776, -23.8872879318, -23.8956415826, -23.9039952335, -23.9123488843, -23.9457634876, -24.1044828535, 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-31.3805127304, -31.4222809846, -31.4389882862, -31.7647806688, -31.8733781296, -31.9986828921, -32.0905730513, -32.2743533697, -32.3495362272, -32.8925235314, -33.519047344, -33.6527057574, -34.0119127433, -34.1455711566, -34.3042905225), biomass = c(83.0961332806, 50.7211614516, 87.2964904063, 94.9368757858, 43.9927789353, 77.2411555034, 48.3943067415, 70.9457447384, 93.3226415451, 111.558449875, 105.120137803, 121.774317746, 121.984738595, 134.194524295, 92.3472981727, 74.0563409989, 118.991685107, 118.913371773, 137.446764012, 95.1474633741, 121.714698897, 134.59315967, 101.797584806, 74.9284080818, 137.771352549, 124.913721538, 160.875499767, 138.782910412, 168.972311629, 120.529672382, 43.8330352522, 111.603138446, 82.6283167931, 102.710993825, 129.466779012, 137.200989394, 71.9554182061, 70.8317598018, 142.071147662, 151.190668965, 99.8896044376, 115.837487832, 118.971176291, 51.6652301103, 193.282510478, 250.005205316, 253.408049368, 250.625852379, 67.7379862984, 216.506386439, 124.554150793, 163.227533825, 137.090380572, 50.1620052836, 28.8243753442, 58.1501629663, 67.1120039497, 177.207650243, 189.334832544, 65.2785306408, 182.688259577, 177.288638618, 90.8691963808, 145.065202159, 127.324867544, 142.685381792, 64.4063001299, 131.548465882, 156.065568878, 169.403052205, 205.245173124, 228.321987613, 242.44647784, 40.1581317266, 43.3583613984, 197.084041126, 214.893149963, 54.8643340973, 66.3804698828, 70.0325520737, 163.330903327, 179.736007179, 70.2135583494, 123.133087815, 53.2497546853, 63.4470098487, 65.9584005227, 62.0232097497, 77.2506169312, 61.9183653079, 82.7548476928, 83.9715064102, 87.0964042733, 91.4666549661, 119.213889345, 86.1920719644, 89.9531669855, 55.7705625113, 52.9182431297, 47.4292707838)), .Names = c("x", "y", "biomass" ), row.names = c(NA, -100L), class = "data.frame") bor <- structure(list(coords.x1 = c(-52.0676766304347, -52.0039483695653, -51.956152173913, -51.7968315217391, -51.6853070652174, -51.6853070652174, -51.5419184782609, 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-50.5541304347826, -50.6815869565217, -50.8727717391304, -51.0002282608695, -51.2073451086957, -51.3029375, -51.3348016304348, -51.4463260869564, -51.3507336956521, -51.4941222826087, -51.5737826086956, -51.6215788043478, -51.7808994565218, -51.9083559782608, -52.0676766304347), coords.x2 = c(-34.511214673913, -34.3200298913043, -34.2244375, -34.1607092391304, -34.0651168478261, -33.9217282608695, -33.7464755434783, -33.6349510869565, -33.5074945652174, -33.3800380434783, -33.2685135869565, -33.0932608695652, -33.1410570652174, -33.0613967391304, -32.9020760869565, -32.7427554347826, -32.5675027173913, -32.471910326087, -32.2647934782608, -32.0736086956522, -31.8824239130434, -31.7390353260869, -31.5956467391304, -31.372597826087, -31.1495489130434, -30.9583641304347, -30.7193831521739, -30.5600625, -30.4644701086957, -30.2732853260869, -30.0980326086956, -29.9865081521739, -29.7953233695652, -29.6041385869565, -29.4288858695652, -29.3332934782608, -29.1739728260869, -29.0305842391305, 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-29.9865081521739, -30.2254891304348, -30.3688777173912, -30.5122663043478, -30.5122663043478, -30.6078586956521, -30.6875190217391, -30.7353152173913, -30.7353152173913, -30.7831114130435, -30.9105679347826, -31.0380244565217, -31.2292092391304, -31.4044619565217, -31.6115788043478, -31.8346277173912, -32.1054728260869, -32.3125896739131, -32.4878423913044, -32.6949592391304, -32.8861440217391, -33.125125, -33.3003777173913, -33.4915624999999, -33.6030869565217, -33.6827472826087, -33.6986793478261, -33.7942717391304, -33.7942717391304, -33.9057961956522, -33.9057961956522, -34.0173206521739, -34.0969809782609, -34.1607092391304, -34.2881657608695, -34.4474864130434, -34.4793505434782, -34.511214673913 )), .Names = c("coords.x1", "coords.x2"), class = "data.frame", row.names = c(NA, -181L)) dados.geo <- list() dados.geo$coords <- cbind(temp$long, temp$lat) dados.geo$data <- temp$biomass dados.geo$borders <- bor class(dados.geo) <- "geodata" plot(dados.geo, lowess = TRUE) vario.exp <- variog(dados.geo, uvec = seq(0, 15, l = 100), estimator.type = "classical", max.dist = 15) ## Máxima verossimilhança - Não está convergindo corretamente!!! mod.exp <- likfit(dados.geo, ini.cov.pars = c(2354, 1.5), cov.model = "exp", trend = "cte", fix.nugget = FALSE, nugget = 0.1, lik.method = "ML") ## Minimos quadrados - OK! mod.exp <- variofit(vario.exp, ini = c(3000, 0.3), fix.nugget = FALSE, nugget = 0.1, cov.model = "exp", max.dist = 10) _______________ Rodrigo Sant'Ana Oceanógrafo

O ajuste por verossimilhança não busca minimizar as somas de quadrados para uma função de correlação baseada na dispersão de um semivariograma, por isso a discrepância que não é problema nenhum. Claro, pode ser também um problema de chutes iniciais mas o que tem que ficar claro é que a verossimilhança não se baseia em obter estimativas baseada em ajuste de curva ao semivariograma. À disposição. Walmes. ========================================================================== Walmes Marques Zeviani LEG (Laboratório de Estatística e Geoinformação, 25.450418 S, 49.231759 W) Departamento de Estatística - Universidade Federal do Paraná fone: (+55) 41 3361 3573 VoIP: (3361 3600) 1053 1173 e-mail: walmes@ufpr.br twitter: @walmeszeviani homepage: http://www.leg.ufpr.br/~walmes linux user number: 531218 ==========================================================================

Opa Walmes, muito obrigado pela resposta rápida e clara... É que eu, na minha inexperiência com EMV, esperava que as estimativas dos parâmetros dadas por verossimilhança ficassem mais próximas das estimativas dadas por mínimos quadrados para os mesmos dados, e por sua vez da curva do semivariograma. Ignorância minha. Novamente, muito obrigado pela ajuda, principalmente pela protidão! _______________ Rodrigo Sant'Ana Oceanógrafo Em 1 de julho de 2012 22:35, Walmes Zeviani <walmeszeviani@gmail.com> escreveu:
O ajuste por verossimilhança não busca minimizar as somas de quadrados para uma função de correlação baseada na dispersão de um semivariograma, por isso a discrepância que não é problema nenhum. Claro, pode ser também um problema de chutes iniciais mas o que tem que ficar claro é que a verossimilhança não se baseia em obter estimativas baseada em ajuste de curva ao semivariograma.
À disposição. Walmes.
========================================================================== Walmes Marques Zeviani LEG (Laboratório de Estatística e Geoinformação, 25.450418 S, 49.231759 W) Departamento de Estatística - Universidade Federal do Paraná fone: (+55) 41 3361 3573 VoIP: (3361 3600) 1053 1173 e-mail: walmes@ufpr.br twitter: @walmeszeviani homepage: http://www.leg.ufpr.br/~walmes linux user number: 531218 ==========================================================================
_______________________________________________ R-br mailing list R-br@listas.c3sl.ufpr.br https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e forneça código mínimo reproduzível.
participantes (2)
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Rodrigo Sant'Ana
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Walmes Zeviani