eMLR - model fitting

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Last updated: 2021-01-25

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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, silicate, phosphate, phosphate_star

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

i_basin <- unique(GLODAP$basin)[1]
i_era   <- unique(GLODAP$era)[1]

# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
  filter(basin == i_basin, era == i_era)

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
print(i_gamma_slab)

# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
  filter(gamma_slab == i_gamma_slab)

# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(paste(
  params_local$MLR_target,
  paste(params_local$MLR_predictors, collapse = " + "),
  sep = " ~ "
),
data = GLODAP_basin_era_slab)

# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)

# convert to tibble
lm_all <- as_tibble(lm_all)

# extract relevant columns and format model formula
lm_all <- lm_all %>% 
  select(n, predictors) %>% 
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste(params_local$MLR_target, "~", lm_coeff))

# remove helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

3 Apply predictor threshold

Select combinations with a total number of predictors in the range:

• Minimum: 2
  
• Maximum: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 112

4 Fit all models

Individual linear regression models were fitted for the chosen target variable:

• cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]

        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        # find max predictor correlation
        i_cor_max <- GLODAP_basin_era_slab %>%
          select(!!!syms(str_split(i_predictors, " ",
                                         simplify = TRUE))) %>%
          correlate(quiet = TRUE) %>% 
          select(-term) %>% 
          abs() %>% 
          max(na.rm = TRUE)
        
        # calculate root mean squared error
        i_rmse <- sqrt(
          c(crossprod(i_lm_fit$residuals)) / 
            length(i_lm_fit$residuals)
        )

        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors,
            na_predictor = anyNA(coefficients$estimate),
            cor_max = i_cor_max
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
        
        # # plot model diagnostics, if activated
        # if (params_local$plot_all_figures == "y") {
        #   p_model <- ggnostic(
        #     i_lm_fit,
        #     columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
        #     title = paste(
        #       "| era:",
        #       i_era,
        #       "| basin:",
        #       i_basin,
        #       "| gamma slab:",
        #       i_gamma_slab,
        #       "| predictors:",
        #       i_predictors
        #     )
        #   )
        #   
        #   ggsave(
        #     plot = p_model,
        #     path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
        #     filename = paste(
        #       "MLR_residuals",
        #       i_era,
        #       i_basin,
        #       i_gamma_slab,
        #       i_predictors,
        #       "predictors.png",
        #       sep = "_"
        #     ),
        #     width = 14,
        #     height = 8
        #   )
        #   
        #   rm(p_model)
        #   
        # }
        
      }
      
      
    }
  }
  
}

rm(i_lm_fit, coefficients, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm,
   i_basin, i_era, i_gamma_slab, i_predictors,
   lm_all,
   i_aic, i_n_predictors, i_resid_max)

5 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

5.1 Formatting

# select relevant columns
lm_all_fitted <- lm_all_fitted %>% 
  select(basin, gamma_slab, era, model, n_predictors, 
         term, estimate, 
         rmse, aic, resid_max, na_predictor, cor_max)

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>% 
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>% 
  pivot_wider(values_from = estimate,
              names_from = term,
              names_prefix = "coeff_",
              values_fill = 0)

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

• 10

The criterion used to select the best models was:

• rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA

lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  select(basin, gamma_slab, model, era, rmse, aic, resid_max) %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         rmse_sum = rmse + lag(rmse),
         aic_sum = aic + lag(aic)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	model	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.0529313	508.0936	4.021817	1982-1999 –> 2000-2012	2.3845411	1286.0801
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.0669064	510.5238	4.506279	1982-1999 –> 2000-2012	2.3985898	1286.5351
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.0650698	511.9449	4.426016	1982-1999 –> 2000-2012	2.3967507	1289.9554
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.0574420	509.5299	4.227758	1982-1999 –> 2000-2012	2.3903131	1287.9406
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.0589440	510.0068	4.281729	1982-1999 –> 2000-2012	2.3921140	1288.5180
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1.0709739	511.8023	4.694811	1982-1999 –> 2000-2012	2.4040133	1288.2696
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.0646493	511.8122	4.234683	1982-1999 –> 2000-2012	2.3962400	1289.7923
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.0694684	513.3297	4.624413	1982-1999 –> 2000-2012	2.4024546	1291.7791
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.0708017	513.7483	4.671370	1982-1999 –> 2000-2012	2.4040952	1292.3010
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.0605961	510.5306	4.333869	1982-1999 –> 2000-2012	2.3945656	1289.3103
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.1285639	254.2220	2.798637	2000-2012 –> 2013-2019	2.1814952	762.3155
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.1819575	261.4332	3.306338	2000-2012 –> 2013-2019	2.2470273	773.3781
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.1357044	255.2059	2.761390	2000-2012 –> 2013-2019	2.1931464	764.7358
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.1385676	255.5987	2.813203	2000-2012 –> 2013-2019	2.1975116	765.6055
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.1929038	262.8713	2.724893	2000-2012 –> 2013-2019	2.2980531	787.2281
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2437146	269.3784	3.455189	2000-2012 –> 2013-2019	2.3083639	781.1906
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.1901456	262.5102	3.453009	2000-2012 –> 2013-2019	2.2596141	775.8399
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.1931661	262.9056	3.497480	2000-2012 –> 2013-2019	2.2639678	776.6539
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.1417526	256.0345	2.864096	2000-2012 –> 2013-2019	2.2023487	766.5651
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.1950624	263.1534	3.519214	2000-2012 –> 2013-2019	2.2672406	777.3333
Atlantic	(26,26.25]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.5186926	1677.3017	9.200135	1982-1999 –> 2000-2012	5.1092006	4185.3755
Atlantic	(26,26.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.5679761	1691.0602	9.320029	1982-1999 –> 2000-2012	5.1927663	4212.9645
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.4976347	1671.3407	8.805174	1982-1999 –> 2000-2012	5.1429195	4201.4273
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.4966064	1671.0483	8.786436	1982-1999 –> 2000-2012	5.1459404	4202.7440
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.5381327	1682.7607	8.470916	1982-1999 –> 2000-2012	5.2485237	4238.4258
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.5526432	1686.8082	9.119749	1982-1999 –> 2000-2012	5.2387087	4232.9891
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5514787	1686.4842	9.133928	1982-1999 –> 2000-2012	5.2442531	4235.2894
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.4938833	1670.2735	8.733905	1982-1999 –> 2000-2012	5.1559945	4207.0305
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5823290	1695.0175	9.339910	1982-1999 –> 2000-2012	5.3211352	4261.6541
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5510087	1686.3534	9.136910	1982-1999 –> 2000-2012	5.2482973	4236.9207
Atlantic	(26,26.25]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.4853532	866.5433	8.359709	2000-2012 –> 2013-2019	5.0040458	2543.8450
Atlantic	(26,26.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.5970451	882.6325	8.467472	2000-2012 –> 2013-2019	5.1650212	2573.6927
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate	2.5560331	874.8066	7.776231	2000-2012 –> 2013-2019	5.1389025	2567.9726
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.5163684	871.0824	7.884380	2000-2012 –> 2013-2019	5.0140030	2542.4231
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.5178406	871.2965	7.867901	2000-2012 –> 2013-2019	5.0144470	2542.3448
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.4551381	862.0665	7.476268	2000-2012 –> 2013-2019	4.9932708	2544.8272
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.6297126	887.2076	8.008763	2000-2012 –> 2013-2019	5.1823558	2574.0158
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.6319994	887.5257	7.982276	2000-2012 –> 2013-2019	5.1834781	2574.0100
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.5231873	872.0729	7.813569	2000-2012 –> 2013-2019	5.0170706	2542.3464
Atlantic	(26,26.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.6328208	887.6399	7.975587	2000-2012 –> 2013-2019	5.1838294	2573.9934
Atlantic	(26.25,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.4545888	4166.7988	14.213759	1982-1999 –> 2000-2012	6.7974202	10157.0210
Atlantic	(26.25,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.7939184	4313.1518	13.525894	1982-1999 –> 2000-2012	7.4357262	10498.3408
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate	3.5654293	4214.1283	15.089814	1982-1999 –> 2000-2012	7.0403189	10290.5331
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.5563938	4212.1649	14.692987	1982-1999 –> 2000-2012	7.0238484	10285.6947
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.5578143	4212.7887	14.733047	1982-1999 –> 2000-2012	7.0269233	10287.4041
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.5049214	4189.3926	14.756501	1982-1999 –> 2000-2012	6.9323193	10236.4765
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.8809582	4348.5822	14.065723	1982-1999 –> 2000-2012	7.6395138	10605.5894
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3.5788308	4221.9885	14.899947	1982-1999 –> 2000-2012	7.0765696	10315.3102
Atlantic	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.8592579	4339.8238	17.069115	1982-1999 –> 2000-2012	7.6428090	10611.9169
Atlantic	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.8597125	4340.0078	17.058611	1982-1999 –> 2000-2012	7.6432107	10612.0691
Atlantic	(26.25,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.4946114	2337.0398	11.926513	2000-2012 –> 2013-2019	7.3575317	6678.3452
Atlantic	(26.25,26.5]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.3052075	2288.5609	11.093067	2000-2012 –> 2013-2019	6.7597963	6455.3596
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate	3.4056659	2312.6097	11.165422	2000-2012 –> 2013-2019	6.9710952	6526.7381
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.4044407	2314.2967	11.050720	2000-2012 –> 2013-2019	6.9608345	6526.4616
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.4049135	2314.4175	11.058207	2000-2012 –> 2013-2019	6.9627279	6527.2062
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.3051555	2288.5472	10.219049	2000-2012 –> 2013-2019	6.8100769	6477.9397
Atlantic	(26.25,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3.4233385	2319.1127	11.029199	2000-2012 –> 2013-2019	7.0021693	6541.1011
Atlantic	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.4905837	2336.0365	11.906417	2000-2012 –> 2013-2019	7.3498416	6675.8603
Atlantic	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.4913944	2336.2386	11.909201	2000-2012 –> 2013-2019	7.3511069	6676.2463
Atlantic	(26.25,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.4902331	2335.9491	11.868493	2000-2012 –> 2013-2019	7.3486945	6675.4505
Atlantic	(26.5,26.62]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3.4411434	3537.4978	8.999892	1982-1999 –> 2000-2012	7.1285303	8098.3383
Atlantic	(26.5,26.62]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.4236026	3532.7112	9.930528	1982-1999 –> 2000-2012	7.0905577	8086.2725
Atlantic	(26.5,26.62]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.4410382	3539.4572	8.947638	1982-1999 –> 2000-2012	7.1222293	8099.4893
Atlantic	(26.5,26.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.4828252	3555.4870	10.827386	1982-1999 –> 2000-2012	7.1618309	8114.5273
Atlantic	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.4584747	3546.1695	9.335854	1982-1999 –> 2000-2012	7.1517968	8111.6959
Atlantic	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.4642498	3548.3852	9.401829	1982-1999 –> 2000-2012	7.1669275	8118.1365
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate	3.4612736	3545.2438	9.113807	1982-1999 –> 2000-2012	7.1775601	8119.1217
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.3999318	3523.4975	8.530012	1982-1999 –> 2000-2012	7.0038435	8048.0980
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.4415832	3539.6675	10.097248	1982-1999 –> 2000-2012	7.1387316	8106.9231
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.4463392	3541.5015	10.169912	1982-1999 –> 2000-2012	7.1563524	8114.5580
Atlantic	(26.5,26.62]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3.6516947	1797.8975	9.560541	2000-2012 –> 2013-2019	7.0928381	5335.3953
Atlantic	(26.5,26.62]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.6515354	1799.8688	9.678448	2000-2012 –> 2013-2019	7.0751380	5332.5799
Atlantic	(26.5,26.62]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.6516812	1799.8950	9.547727	2000-2012 –> 2013-2019	7.0927195	5339.3523
Atlantic	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.6614231	1801.6481	9.880989	2000-2012 –> 2013-2019	7.1198978	5347.8176
Atlantic	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.6643651	1802.1766	9.953282	2000-2012 –> 2013-2019	7.1286149	5350.5618
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate	3.6630320	1799.9372	9.794303	2000-2012 –> 2013-2019	7.1243056	5345.1810
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.6366901	1797.1882	9.806641	2000-2012 –> 2013-2019	7.0366219	5320.6857
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.6624949	1801.8407	10.009182	2000-2012 –> 2013-2019	7.1040780	5341.5082
Atlantic	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.6655704	1802.3930	10.114611	2000-2012 –> 2013-2019	7.1119096	5343.8945
Atlantic	(26.5,26.62]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.6737347	1803.8569	10.274850	2000-2012 –> 2013-2019	7.1330324	5350.3424
Atlantic	(26.62,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.5698142	4248.0876	7.324052	1982-1999 –> 2000-2012	5.0321856	10182.8895
Atlantic	(26.62,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.5716278	4247.3519	7.422790	1982-1999 –> 2000-2012	5.0351161	10181.3110
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.6057489	4272.9723	7.282485	1982-1999 –> 2000-2012	5.1099720	10250.7847
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	2.6062394	4271.3096	7.275436	1982-1999 –> 2000-2012	5.1124974	10249.1949
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.5459487	4231.3678	6.931505	1982-1999 –> 2000-2012	4.9891345	10146.2079
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.5605994	4241.6504	6.988232	1982-1999 –> 2000-2012	5.0225917	10176.0592
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5734858	4250.6461	7.088619	1982-1999 –> 2000-2012	5.0512768	10201.3790
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5774876	4253.4305	7.115184	1982-1999 –> 2000-2012	5.0606670	10209.7072
Atlantic	(26.62,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.6099801	4275.8798	7.554166	1982-1999 –> 2000-2012	5.1157037	10255.2209
Atlantic	(26.62,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.5346134	4223.3715	6.924168	1982-1999 –> 2000-2012	4.9478141	10106.6972
Atlantic	(26.62,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.8474446	2015.8727	9.107459	2000-2012 –> 2013-2019	5.4172588	6263.9604
Atlantic	(26.62,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.8477016	2013.9460	9.083514	2000-2012 –> 2013-2019	5.4193294	6261.2979
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.7409825	1984.9310	8.337233	2000-2012 –> 2013-2019	5.3467314	6257.9033
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.7890181	1999.0380	8.962658	2000-2012 –> 2013-2019	5.4996430	6342.7210
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	2.7751288	1992.9842	8.209564	2000-2012 –> 2013-2019	5.3813683	6264.2938
Atlantic	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.7652351	1992.0841	8.252805	2000-2012 –> 2013-2019	5.3111838	6223.4519
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.7720734	1994.0897	8.142575	2000-2012 –> 2013-2019	5.3326728	6235.7401
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.7882528	1998.8152	8.178771	2000-2012 –> 2013-2019	5.3617386	6249.4613
Atlantic	(26.62,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.7926450	2000.0933	8.191430	2000-2012 –> 2013-2019	5.3701326	6253.5238
Atlantic	(26.62,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.7797435	1996.3333	8.456081	2000-2012 –> 2013-2019	5.3143568	6219.7048
Atlantic	(26.75,26.88]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.9419464	5703.7433	15.053441	1982-1999 –> 2000-2012	3.6129140	12612.3373
Atlantic	(26.75,26.88]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.9607354	5728.0493	15.371193	1982-1999 –> 2000-2012	3.6473614	12667.9229
Atlantic	(26.75,26.88]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.9026491	5647.8914	12.063184	1982-1999 –> 2000-2012	3.5891327	12589.4638
Atlantic	(26.75,26.88]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9507347	5716.0791	11.932939	1982-1999 –> 2000-2012	3.6856762	12758.7258
Atlantic	(26.75,26.88]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.0233039	5815.8672	15.975584	1982-1999 –> 2000-2012	3.7833355	12909.7437
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.9445871	5707.4558	10.402309	1982-1999 –> 2000-2012	3.6748793	12740.5281
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.0054427	5791.6428	13.561348	1982-1999 –> 2000-2012	3.7643561	12883.2517
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate	1.9641887	5732.8567	11.997840	1982-1999 –> 2000-2012	3.7116211	12799.0997
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9356754	5694.9067	12.127087	1982-1999 –> 2000-2012	3.5545820	12490.5670
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate_star	2.0280754	5820.3025	13.837104	1982-1999 –> 2000-2012	3.8052518	12946.7672
Atlantic	(26.75,26.88]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.1456161	3152.2413	8.241080	2000-2012 –> 2013-2019	4.0875626	8855.9846
Atlantic	(26.75,26.88]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.1490294	3152.5270	8.260562	2000-2012 –> 2013-2019	4.1097648	8880.5763
Atlantic	(26.75,26.88]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1248745	3138.2725	7.854094	2000-2012 –> 2013-2019	4.0275236	8786.1639
Atlantic	(26.75,26.88]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1551698	3158.6300	7.726463	2000-2012 –> 2013-2019	4.1059045	8874.7090
Atlantic	(26.75,26.88]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1785328	3174.1346	7.749208	2000-2012 –> 2013-2019	4.2018367	8990.0019
Atlantic	(26.75,26.88]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1862055	3179.1903	7.764623	2000-2012 –> 2013-2019	4.2375611	9032.6747
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.2140393	3197.3827	8.442343	2000-2012 –> 2013-2019	4.1586264	8904.8385
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.2431552	3216.1700	8.500745	2000-2012 –> 2013-2019	4.2485979	9007.8128
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate	2.2187574	3198.4438	8.467660	2000-2012 –> 2013-2019	4.1829461	8931.3005
Atlantic	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.0438649	3082.3772	7.587316	2000-2012 –> 2013-2019	3.9795402	8777.2839
Atlantic	(26.88,27]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.7793476	5217.4432	9.978092	1982-1999 –> 2000-2012	3.1281971	11131.7096
Atlantic	(26.88,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.8777883	5355.8785	13.399427	1982-1999 –> 2000-2012	3.2927130	11432.3735
Atlantic	(26.88,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8111553	5263.6523	13.259192	1982-1999 –> 2000-2012	3.2115799	11306.7741
Atlantic	(26.88,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8260356	5284.9917	13.310267	1982-1999 –> 2000-2012	3.2574047	11403.1670
Atlantic	(26.88,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8398415	5304.6357	13.356570	1982-1999 –> 2000-2012	3.2909145	11469.7599
Atlantic	(26.88,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8444144	5311.1097	13.365189	1982-1999 –> 2000-2012	3.3024571	11492.6887
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.8200005	5276.3580	9.922479	1982-1999 –> 2000-2012	3.2134589	11302.3553
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.8351389	5297.9611	9.868564	1982-1999 –> 2000-2012	3.2491441	11374.2239
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.8324935	5294.1989	13.051483	1982-1999 –> 2000-2012	3.2166998	11297.3197
Atlantic	(26.88,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.8466509	5314.2703	9.938532	1982-1999 –> 2000-2012	3.2727764	11419.8424
Atlantic	(26.88,27]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.2234748	3088.1615	14.799177	2000-2012 –> 2013-2019	4.0028224	8305.6047
Atlantic	(26.88,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.1863813	3064.8443	14.734174	2000-2012 –> 2013-2019	3.9862973	8312.2618
Atlantic	(26.88,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.2239402	3088.4516	14.514634	2000-2012 –> 2013-2019	4.1090069	8456.4192
Atlantic	(26.88,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.3695032	3176.3237	20.397487	2000-2012 –> 2013-2019	4.1806585	8439.9760
Atlantic	(26.88,27]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.2655470	3114.1421	14.783534	2000-2012 –> 2013-2019	4.2068506	8558.7759
Atlantic	(26.88,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.3710194	3177.2103	20.164970	2000-2012 –> 2013-2019	4.1970550	8462.2021
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.2781581	3121.8359	14.857269	2000-2012 –> 2013-2019	4.0981586	8398.1938
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.2938225	3131.3332	14.830016	2000-2012 –> 2013-2019	4.1289614	8429.2943
Atlantic	(26.88,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.3544532	3167.4924	20.168634	2000-2012 –> 2013-2019	4.1869467	8461.6913
Atlantic	(26.88,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.3108648	3141.5927	14.966340	2000-2012 –> 2013-2019	4.1575158	8455.8630
Atlantic	(27,27.12]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.8504948	4648.3440	20.101356	1982-1999 –> 2000-2012	3.4160115	10465.4602
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.7418337	4510.4917	7.722810	1982-1999 –> 2000-2012	3.2764968	10265.7428
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate	1.8030123	4587.1291	9.498397	1982-1999 –> 2000-2012	3.3983476	10460.8868
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7718209	4549.3757	9.826448	1982-1999 –> 2000-2012	3.2834754	10257.6770
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7724140	4550.1381	9.880586	1982-1999 –> 2000-2012	3.2757889	10241.3696
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7915176	4574.5597	9.931699	1982-1999 –> 2000-2012	3.3127552	10302.5020
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7997137	4584.9577	9.931177	1982-1999 –> 2000-2012	3.3303639	10332.0712
Atlantic	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.7573991	4530.7580	9.057051	1982-1999 –> 2000-2012	3.2110157	10117.3808
Atlantic	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.7561803	4529.1776	9.011398	1982-1999 –> 2000-2012	3.2073071	10110.4723
Atlantic	(27,27.12]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.7670395	4543.2200	8.915053	1982-1999 –> 2000-2012	3.2271964	10143.7954
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.0144748	2735.1774	9.913785	2000-2012 –> 2013-2019	3.7563085	7245.6691
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.0587561	2763.0960	9.949553	2000-2012 –> 2013-2019	3.9322742	7439.6074
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate	2.1011701	2787.2799	11.392620	2000-2012 –> 2013-2019	3.9041825	7374.4090
Atlantic	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0948302	2785.3998	11.388818	2000-2012 –> 2013-2019	3.8666511	7334.7755
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.0996945	2788.3778	11.406229	2000-2012 –> 2013-2019	3.8721085	7338.5159
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1126746	2796.2910	11.476779	2000-2012 –> 2013-2019	3.9041922	7370.8506
Atlantic	(27,27.12]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1155022	2798.0083	11.477298	2000-2012 –> 2013-2019	3.9152160	7382.9660
Atlantic	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.1292541	2806.3280	9.500349	2000-2012 –> 2013-2019	3.8866532	7337.0860
Atlantic	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1390268	2812.2077	9.505029	2000-2012 –> 2013-2019	3.8952071	7341.3853
Atlantic	(27,27.12]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.1530892	2820.6213	9.577816	2000-2012 –> 2013-2019	3.9201286	7363.8413
Atlantic	(27.12,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.7639955	4686.2948	17.850514	1982-1999 –> 2000-2012	3.6187225	10842.9099
Atlantic	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.7139887	4618.6556	16.079991	1982-1999 –> 2000-2012	3.3236486	10347.8595
Atlantic	(27.12,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	1.8750164	4827.8515	12.150045	1982-1999 –> 2000-2012	3.5363043	10650.2711
Atlantic	(27.12,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8660001	4818.5144	12.145127	1982-1999 –> 2000-2012	3.5068730	10605.6417
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8640390	4816.0412	11.951454	1982-1999 –> 2000-2012	3.4751304	10547.9259
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8618883	4813.3259	11.505662	1982-1999 –> 2000-2012	3.4458219	10493.9373
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8618902	4813.3283	11.436831	1982-1999 –> 2000-2012	3.4464628	10495.1561
Atlantic	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.7602344	4681.2747	16.851682	1982-1999 –> 2000-2012	3.3844879	10437.6991
Atlantic	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.7613399	4682.7514	16.751386	1982-1999 –> 2000-2012	3.3492787	10370.9796
Atlantic	(27.12,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.7682846	4692.0068	16.273216	1982-1999 –> 2000-2012	3.3274959	10325.1726
Atlantic	(27.12,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.2055007	2864.7621	15.959437	2000-2012 –> 2013-2019	3.9694962	7551.0569
Atlantic	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.1256151	2817.1697	13.975862	2000-2012 –> 2013-2019	3.8396038	7435.8253
Atlantic	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.1574168	2836.3267	14.411664	2000-2012 –> 2013-2019	3.9649893	7580.0183
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.1193703	2813.3743	15.992019	2000-2012 –> 2013-2019	3.9545972	7592.7770
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.3203682	2930.2571	14.534493	2000-2012 –> 2013-2019	4.1822565	7743.5830
Atlantic	(27.12,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.3204472	2930.3010	14.542206	2000-2012 –> 2013-2019	4.1823374	7743.6293
Atlantic	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	2.1892395	2853.2157	15.247938	2000-2012 –> 2013-2019	4.0349872	7644.0632
Atlantic	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.1885354	2854.8007	15.480286	2000-2012 –> 2013-2019	3.9487698	7536.0754
Atlantic	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1886522	2854.8696	15.466135	2000-2012 –> 2013-2019	3.9499921	7537.6210
Atlantic	(27.12,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.1867047	2853.7212	15.197484	2000-2012 –> 2013-2019	3.9549893	7545.7280
Atlantic	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.6636228	4602.4881	9.379267	1982-1999 –> 2000-2012	3.1265954	10860.4372
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate	1.8796809	4891.0965	8.999463	1982-1999 –> 2000-2012	3.7100664	11924.5207
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.8770167	4889.7209	8.432803	1982-1999 –> 2000-2012	3.6841000	11880.6855
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.8220420	4818.9734	10.602706	1982-1999 –> 2000-2012	3.6440777	11838.5318
Atlantic	(27.25,27.38]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.6728132	4615.5998	7.223992	1982-1999 –> 2000-2012	3.1497756	10906.5733
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	2.2688039	5340.8953	10.390761	1982-1999 –> 2000-2012	4.0998325	12377.5382
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate	1.7375904	4704.0221	6.681284	1982-1999 –> 2000-2012	3.2284775	11025.5574
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.6822253	4628.9533	9.663191	1982-1999 –> 2000-2012	3.1728784	10951.9439
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.6780086	4622.9802	9.727640	1982-1999 –> 2000-2012	3.1688853	10946.4910
Atlantic	(27.25,27.38]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.7101096	4668.0805	9.825213	1982-1999 –> 2000-2012	3.2425171	11086.9320
Atlantic	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.3726150	3164.4451	23.800799	2000-2012 –> 2013-2019	4.0362378	7766.9332
Atlantic	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2.6101915	3294.1397	21.290002	2000-2012 –> 2013-2019	4.8847730	8639.0881
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate	2.5598648	3267.2723	12.522763	2000-2012 –> 2013-2019	4.4395457	8158.3688
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.4235108	3193.7350	13.949702	2000-2012 –> 2013-2019	4.3005275	8083.4558
Atlantic	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.3314757	3140.3071	15.076764	2000-2012 –> 2013-2019	4.1535177	7959.2805
Atlantic	(27.25,27.38]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.4265433	3195.4606	14.552840	2000-2012 –> 2013-2019	4.0993564	7811.0604
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate	2.5028303	3236.1778	16.984343	2000-2012 –> 2013-2019	4.2404207	7940.1999
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.2583665	3096.3408	16.371084	2000-2012 –> 2013-2019	3.9405918	7725.2942
Atlantic	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.2908387	3116.0420	19.144620	2000-2012 –> 2013-2019	3.9688474	7739.0222
Atlantic	(27.25,27.38]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.2144367	3069.2325	14.277951	2000-2012 –> 2013-2019	3.9245463	7737.3130
Atlantic	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.5536146	6173.7561	24.639901	1982-1999 –> 2000-2012	4.4235526	13765.9472
Atlantic	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2.6973950	6314.9422	22.013068	1982-1999 –> 2000-2012	4.9575800	14607.5738
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	2.3323297	5934.8173	13.767381	1982-1999 –> 2000-2012	4.3891227	13877.9779
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.3120135	5913.9479	12.981746	1982-1999 –> 2000-2012	4.3658054	13853.6970
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.2892271	5888.0574	15.485763	1982-1999 –> 2000-2012	4.2495420	13655.1712
Atlantic	(27.38,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.2757864	5872.6646	15.163401	1982-1999 –> 2000-2012	4.0401606	13249.5031
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	2.4798705	6095.1567	18.714554	1982-1999 –> 2000-2012	4.2729037	13529.7086
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.3461573	5952.2691	19.237683	1982-1999 –> 2000-2012	4.0837758	13272.4777
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.4003328	6011.9431	20.743680	1982-1999 –> 2000-2012	4.1530756	13364.2693
Atlantic	(27.38,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.2442864	5836.2306	14.678668	1982-1999 –> 2000-2012	3.9442111	13075.1608
Atlantic	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.0477707	3423.8877	22.934868	2000-2012 –> 2013-2019	5.6013853	9597.6438
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	2.9381719	3372.5934	16.833296	2000-2012 –> 2013-2019	5.2705016	9307.4107
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.8104739	3314.7846	15.069762	2000-2012 –> 2013-2019	5.1224875	9228.7325
Atlantic	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.8095670	3314.3502	17.544519	2000-2012 –> 2013-2019	5.0987941	9202.4075
Atlantic	(27.38,27.5]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.0446766	3422.5205	13.733126	2000-2012 –> 2013-2019	5.6801930	9678.7987
Atlantic	(27.38,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.9010214	3357.4659	16.081141	2000-2012 –> 2013-2019	5.1768078	9230.1305
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	3.0857358	3438.5508	15.116459	2000-2012 –> 2013-2019	5.5656063	9533.7075
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.8492498	3333.2283	18.094492	2000-2012 –> 2013-2019	5.1954071	9285.4974
Atlantic	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.9280177	3369.9336	19.654697	2000-2012 –> 2013-2019	5.3283506	9381.8767
Atlantic	(27.38,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.7528941	3286.9219	14.311300	2000-2012 –> 2013-2019	4.9971805	9123.1524
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate	2.8275097	8208.0885	11.151717	1982-1999 –> 2000-2012	5.2647893	18540.3688
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.8090770	8188.2828	12.770547	1982-1999 –> 2000-2012	5.2104854	18456.3157
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.7489176	8116.1059	15.205597	1982-1999 –> 2000-2012	5.1281490	18342.6853
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.8146177	8194.8525	19.040596	1982-1999 –> 2000-2012	5.2734806	18568.5250
Atlantic	(27.5,27.62]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.7716205	8143.5279	16.096919	1982-1999 –> 2000-2012	5.2678558	18584.5989
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.8269084	8209.3794	11.141982	1982-1999 –> 2000-2012	5.2526908	18522.5335
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.7532970	8121.4133	19.461368	1982-1999 –> 2000-2012	5.1135859	18312.2777
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.7468298	8113.5729	19.006922	1982-1999 –> 2000-2012	5.1132121	18315.9571
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.7571520	8126.0780	19.436595	1982-1999 –> 2000-2012	5.1150340	18312.3840
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.7985238	8173.7340	20.772175	1982-1999 –> 2000-2012	5.1805141	18403.4911
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.0288502	4532.4934	13.430325	2000-2012 –> 2013-2019	5.7777678	12648.5994
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.0247229	4530.0553	14.149309	2000-2012 –> 2013-2019	5.8393406	12724.9078
Atlantic	(27.5,27.62]	cstar_tref ~ sal + aou + silicate + phosphate_star	3.0299006	4531.1134	13.725820	2000-2012 –> 2013-2019	5.8736534	12758.2999
Atlantic	(27.5,27.62]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.0188136	4526.5588	12.769481	2000-2012 –> 2013-2019	5.7904341	12670.0867
Atlantic	(27.5,27.62]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	3.0289009	4530.5233	13.405441	2000-2012 –> 2013-2019	5.8575544	12739.9603
Atlantic	(27.5,27.62]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3.0351288	4534.1960	13.603386	2000-2012 –> 2013-2019	5.8728589	12754.3140
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.0152605	4524.4531	13.552350	2000-2012 –> 2013-2019	5.7685575	12645.8664
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.0190005	4526.6694	13.420617	2000-2012 –> 2013-2019	5.7658303	12640.2423
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.0264590	4531.0813	13.620036	2000-2012 –> 2013-2019	5.7836110	12657.1594
Atlantic	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate_star	3.1550175	4603.4634	15.182062	2000-2012 –> 2013-2019	5.9535413	12777.1974
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.9842426	8822.0800	17.331406	1982-1999 –> 2000-2012	3.7559733	20172.2382
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.8392022	8504.3400	15.003697	1982-1999 –> 2000-2012	3.6390531	19944.1617
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	1.8836439	8602.2859	13.085083	1982-1999 –> 2000-2012	3.7109242	20126.2287
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8318431	8487.5572	14.003695	1982-1999 –> 2000-2012	3.5194337	19560.6739
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.9911268	8836.5779	17.228659	1982-1999 –> 2000-2012	3.7654680	20195.1198
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8277496	8478.1926	13.999472	1982-1999 –> 2000-2012	3.4926907	19474.3713
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.8307954	8485.1624	13.888447	1982-1999 –> 2000-2012	3.4836393	19439.8184
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.8302134	8483.8316	13.942157	1982-1999 –> 2000-2012	3.4833234	19439.4041
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8308808	8485.3575	13.882488	1982-1999 –> 2000-2012	3.4837441	19440.0806
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.8322227	8486.4246	13.720993	1982-1999 –> 2000-2012	3.5248572	19574.5341
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.1997329	4905.3202	18.740196	2000-2012 –> 2013-2019	4.1839755	13727.4002
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.9948973	4688.7209	16.693717	2000-2012 –> 2013-2019	3.8340994	13193.0608
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	2.1209407	4822.4889	13.762096	2000-2012 –> 2013-2019	4.0045846	13424.7748
Atlantic	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1149750	4818.2471	14.249309	2000-2012 –> 2013-2019	3.9468181	13305.8043
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.1880576	4893.5273	18.789326	2000-2012 –> 2013-2019	4.1791844	13730.1052
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1124962	4815.6484	13.923034	2000-2012 –> 2013-2019	3.9402459	13293.8410
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1072107	4810.0969	13.804657	2000-2012 –> 2013-2019	3.9380061	13295.2593
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.1112507	4814.3415	13.824085	2000-2012 –> 2013-2019	3.9414642	13298.1730
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1072016	4810.0873	13.804572	2000-2012 –> 2013-2019	3.9380823	13295.4449
Atlantic	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	2.1181347	4819.5552	14.131134	2000-2012 –> 2013-2019	3.9503574	13305.9798
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.4580402	2352.4334	15.185663	1982-1999 –> 2000-2012	2.5639997	4816.1121
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.4329802	2329.8607	11.853630	1982-1999 –> 2000-2012	2.6236500	4912.5094
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate	1.4624172	2354.3360	9.907043	1982-1999 –> 2000-2012	2.6574464	4940.8760
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3944781	2294.3993	10.470226	1982-1999 –> 2000-2012	2.4634457	4703.2379
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.4797627	2371.6880	15.596333	1982-1999 –> 2000-2012	2.6183129	4882.1831
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.4365079	2333.0620	8.536734	1982-1999 –> 2000-2012	2.4773196	4698.8724
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.4102411	2309.0344	10.509669	1982-1999 –> 2000-2012	2.5017342	4751.4883
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4338845	2330.6821	10.722546	1982-1999 –> 2000-2012	2.5559839	4817.7156
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.4321591	2329.1144	10.959352	1982-1999 –> 2000-2012	2.5563101	4819.0927
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4359858	2332.5888	10.737710	1982-1999 –> 2000-2012	2.5602050	4822.6647
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.5696430	1076.0389	13.933306	2000-2012 –> 2013-2019	3.0276832	3428.4722
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.4348639	1025.0448	9.426473	2000-2012 –> 2013-2019	2.8678441	3354.9056
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate	1.4376927	1024.1635	9.543920	2000-2012 –> 2013-2019	2.9001099	3378.4996
Atlantic	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3505113	990.6316	9.811577	2000-2012 –> 2013-2019	2.7449894	3285.0309
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.4385103	1026.4865	10.803030	2000-2012 –> 2013-2019	2.9386890	3416.0151
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3241287	979.4257	8.115482	2000-2012 –> 2013-2019	2.7606366	3312.4878
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3752228	1000.9308	9.857329	2000-2012 –> 2013-2019	2.7854639	3309.9652
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.4068421	1013.8425	9.969544	2000-2012 –> 2013-2019	2.8407267	3344.5246
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.4080344	1014.3237	9.924002	2000-2012 –> 2013-2019	2.8401934	3343.4381
Atlantic	(27.75,27.8]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.4087451	1014.6103	9.976226	2000-2012 –> 2013-2019	2.8447309	3347.1990
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.6835231	2528.0161	11.467763	1982-1999 –> 2000-2012	3.4298460	5981.0407
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.7552774	2582.1088	10.983076	1982-1999 –> 2000-2012	3.5944468	6125.2683
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7188827	2554.9545	12.328133	1982-1999 –> 2000-2012	3.5116986	6053.6978
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.7081658	2546.8489	11.782215	1982-1999 –> 2000-2012	3.4567764	6002.1514
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.7984884	2613.6271	12.428442	1982-1999 –> 2000-2012	3.5626301	6084.3159
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.6188212	2477.2252	11.509232	1982-1999 –> 2000-2012	3.3997956	5964.4378
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7461781	2575.3729	12.394867	1982-1999 –> 2000-2012	3.5539267	6088.5490
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7778556	2598.6730	12.476827	1982-1999 –> 2000-2012	3.6023765	6127.9184
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.7429118	2572.9464	12.170129	1982-1999 –> 2000-2012	3.4986398	6035.3169
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7738340	2595.7380	12.401895	1982-1999 –> 2000-2012	3.5901443	6117.1355
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate	1.6795480	1453.4726	9.423688	2000-2012 –> 2013-2019	3.4476404	4043.0090
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.6390709	1437.3227	9.723068	2000-2012 –> 2013-2019	3.3225941	3965.3388
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.6477870	1441.2686	8.645041	2000-2012 –> 2013-2019	3.4030644	4023.3774
Atlantic	(27.8,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8947295	1545.1629	11.544025	2000-2012 –> 2013-2019	3.6136122	4100.1174
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.6500117	1442.2724	9.658361	2000-2012 –> 2013-2019	3.3581775	3989.1212
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.7384690	1481.1259	9.939958	2000-2012 –> 2013-2019	3.5369574	4094.7529
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.7909820	1503.2667	10.804058	2000-2012 –> 2013-2019	3.4098031	3980.4920
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9204437	1555.1921	11.583809	2000-2012 –> 2013-2019	3.6666218	4130.5650
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.6701042	1451.2775	9.638997	2000-2012 –> 2013-2019	3.4130160	4024.2239
Atlantic	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.9406018	1562.9609	11.572537	2000-2012 –> 2013-2019	3.7144358	4158.6989
Atlantic	(27.85,27.9]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.0481351	2743.6395	14.709306	1982-1999 –> 2000-2012	4.3595830	6404.6488
Atlantic	(27.85,27.9]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.1246037	2790.4855	14.074345	1982-1999 –> 2000-2012	4.4379334	6452.8098
Atlantic	(27.85,27.9]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.0959162	2773.1117	15.495381	1982-1999 –> 2000-2012	4.4099585	6435.9338
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.0528116	2746.5543	14.637019	1982-1999 –> 2000-2012	4.3568377	6402.3664
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.0709867	2757.8196	14.511219	1982-1999 –> 2000-2012	4.3686483	6409.1616
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.0777207	2761.9684	15.283701	1982-1999 –> 2000-2012	4.4023210	6432.1468
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1082856	2780.6318	15.546165	1982-1999 –> 2000-2012	4.4293053	6448.3192
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1211519	2788.4074	15.583276	1982-1999 –> 2000-2012	4.4500744	6461.5877
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.0608213	2751.5311	14.560450	1982-1999 –> 2000-2012	4.3599194	6403.8831
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.1116200	2782.6515	15.461206	1982-1999 –> 2000-2012	4.4291944	6447.9383
Atlantic	(27.85,27.9]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.1007533	1608.9911	13.929250	2000-2012 –> 2013-2019	4.1488884	4352.6306
Atlantic	(27.85,27.9]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1562537	1628.2354	15.017293	2000-2012 –> 2013-2019	4.2521699	4401.3471
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.1070071	1611.1848	13.838180	2000-2012 –> 2013-2019	4.1598186	4357.7390
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.1292250	1618.9261	13.712708	2000-2012 –> 2013-2019	4.2002118	4376.7457
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.1672410	1631.9864	14.604561	2000-2012 –> 2013-2019	4.2449617	4393.9548
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.1681304	1632.2892	15.088403	2000-2012 –> 2013-2019	4.2764160	4412.9210
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.1783848	1635.7714	15.133829	2000-2012 –> 2013-2019	4.2995367	4424.1788
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.1152102	1614.0524	13.770760	2000-2012 –> 2013-2019	4.1760314	4365.5835
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.1702940	1633.0253	15.026048	2000-2012 –> 2013-2019	4.2819141	4415.6768
Atlantic	(27.85,27.9]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.1795471	1636.1650	15.138358	2000-2012 –> 2013-2019	4.3024283	4425.6139
Atlantic	(27.9,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.1915608	3104.1794	22.390036	1982-1999 –> 2000-2012	6.5357571	7855.7810
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.2732201	3134.4459	23.316989	1982-1999 –> 2000-2012	6.5787662	7865.0765
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.2647227	3131.3318	22.807654	1982-1999 –> 2000-2012	6.5123432	7830.0692
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.2049590	3109.1981	22.499516	1982-1999 –> 2000-2012	6.5236077	7846.9653
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2251000	3116.7032	22.564471	1982-1999 –> 2000-2012	6.5291287	7846.5054
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.2309797	3118.8853	22.707556	1982-1999 –> 2000-2012	6.5410955	7852.0081
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.2195138	3114.6263	22.550483	1982-1999 –> 2000-2012	6.5257502	7845.6336
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.2580407	3128.8773	22.712635	1982-1999 –> 2000-2012	6.4752674	7810.6520
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.2700752	3131.2943	22.718114	1982-1999 –> 2000-2012	6.5324280	7836.1968
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.2362415	3120.8347	22.367271	1982-1999 –> 2000-2012	6.4808160	7817.8794
Atlantic	(27.9,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.7747626	1876.6531	21.102131	2000-2012 –> 2013-2019	6.9663233	4980.8326
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.6717391	1857.8915	20.692225	2000-2012 –> 2013-2019	6.9449592	4992.3374
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.5243781	1830.1196	20.880443	2000-2012 –> 2013-2019	6.7891008	4961.4514
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.7069237	1864.3575	21.059005	2000-2012 –> 2013-2019	6.9118827	4973.5556
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.6832201	1860.0082	21.038935	2000-2012 –> 2013-2019	6.9083201	4976.7114
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.6973694	1862.6078	21.124188	2000-2012 –> 2013-2019	6.9283491	4981.4930
Atlantic	(27.9,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.6871031	1860.7226	21.034031	2000-2012 –> 2013-2019	6.9066169	4975.3489
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.3616744	1798.0741	18.892539	2000-2012 –> 2013-2019	6.6197151	4926.9514
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.6742180	1856.3491	20.574570	2000-2012 –> 2013-2019	6.9442932	4987.6434
Atlantic	(27.9,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.5226397	1829.7851	20.727623	2000-2012 –> 2013-2019	6.7588812	4950.6198
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.8272714	3962.3596	26.919531	1982-1999 –> 2000-2012	7.2484811	9094.0977
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.5656158	3861.0937	23.205154	1982-1999 –> 2000-2012	6.9713896	8984.0952
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + phosphate_star	3.8277333	3960.5322	27.039617	1982-1999 –> 2000-2012	7.2843604	9110.1681
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.8250141	3961.5160	27.191027	1982-1999 –> 2000-2012	7.2733761	9108.5267
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3.8361411	3965.6698	27.252268	1982-1999 –> 2000-2012	7.2753738	9107.5589
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.4626310	3819.1831	18.833113	1982-1999 –> 2000-2012	6.7438054	8870.1775
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + nitrate + phosphate_star	3.8405510	3965.3128	26.652430	1982-1999 –> 2000-2012	7.2839972	9107.5674
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.8385490	3966.5671	26.516040	1982-1999 –> 2000-2012	7.2702561	9104.2241
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.6789504	3903.8394	24.313023	1982-1999 –> 2000-2012	7.0860640	9025.6008
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.4958480	3832.8357	20.489591	1982-1999 –> 2000-2012	6.8272368	8913.1731
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.2367062	1938.3731	26.202728	2000-2012 –> 2013-2019	7.0639777	5900.7328
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.2010676	1930.1578	24.211551	2000-2012 –> 2013-2019	6.7666834	5791.2515
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + phosphate_star	3.2726926	1944.5773	26.702794	2000-2012 –> 2013-2019	7.1004259	5905.1095
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.2567050	1942.9436	26.693311	2000-2012 –> 2013-2019	7.0817191	5904.4596
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3.2558309	1942.7445	26.546992	2000-2012 –> 2013-2019	7.0919721	5908.4143
Atlantic	(27.95,28]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.2629513	1944.3654	26.771966	2000-2012 –> 2013-2019	7.0974028	5909.4053
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.0686756	1898.8170	21.042402	2000-2012 –> 2013-2019	6.5313066	5718.0001
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.2581431	1943.2712	26.135273	2000-2012 –> 2013-2019	7.0966921	5909.8383
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.2053751	1929.1556	24.535397	2000-2012 –> 2013-2019	6.8843254	5832.9950
Atlantic	(27.95,28]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0800414	1901.5601	21.446410	2000-2012 –> 2013-2019	6.5758893	5734.3959
Atlantic	(28,28.05]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.5025929	5424.7918	14.374487	1982-1999 –> 2000-2012	5.2847460	13444.2043
Atlantic	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.3986430	5326.5374	15.339896	1982-1999 –> 2000-2012	5.0006808	13126.5525
Atlantic	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate	2.4034809	5329.2039	15.651730	1982-1999 –> 2000-2012	5.0571303	13191.6021
Atlantic	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.3999895	5327.8371	15.413868	1982-1999 –> 2000-2012	4.9974001	13122.0179
Atlantic	(28,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.4014151	5329.2124	15.628793	1982-1999 –> 2000-2012	5.0261744	13157.7274
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	2.7067552	5606.4200	11.918997	1982-1999 –> 2000-2012	5.6883898	13852.8226
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.4883239	5411.5489	14.348868	1982-1999 –> 2000-2012	5.2568502	13414.8665
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.4313950	5357.9469	14.504318	1982-1999 –> 2000-2012	5.1196407	13264.8051
Atlantic	(28,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate	2.5080586	5427.8444	16.225263	1982-1999 –> 2000-2012	5.3080262	13466.1795
Atlantic	(28,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.4874609	5410.7455	14.332698	1982-1999 –> 2000-2012	5.2545889	13412.4070
Atlantic	(28,28.05]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.4738278	2864.0886	10.119478	2000-2012 –> 2013-2019	4.9764207	8288.8804
Atlantic	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.4402189	2847.3182	11.021928	2000-2012 –> 2013-2019	4.8388620	8173.8556
Atlantic	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate	2.4422327	2846.3296	10.868307	2000-2012 –> 2013-2019	4.8457137	8175.5335
Atlantic	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.4376556	2846.0297	11.078224	2000-2012 –> 2013-2019	4.8376451	8173.8668
Atlantic	(28,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.3983301	2826.0900	10.786039	2000-2012 –> 2013-2019	4.7997452	8155.3024
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	2.5771489	2914.2529	8.987923	2000-2012 –> 2013-2019	5.2839041	8520.6729
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.4550808	2854.7624	10.072742	2000-2012 –> 2013-2019	4.9434048	8266.3114
Atlantic	(28,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.3913438	2822.5135	10.105312	2000-2012 –> 2013-2019	4.8227388	8180.4604
Atlantic	(28,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate	2.4689200	2859.6539	10.559028	2000-2012 –> 2013-2019	4.9769786	8287.4984
Atlantic	(28,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.4543635	2854.4041	10.059647	2000-2012 –> 2013-2019	4.9418244	8265.1496
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.2859979	1617.6545	7.516413	1982-1999 –> 2000-2012	2.4314803	3553.3434
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.2930600	1620.9120	8.163065	1982-1999 –> 2000-2012	2.4448078	3561.3429
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.2924796	1622.4810	7.929663	1982-1999 –> 2000-2012	2.4292260	3548.7073
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.2901509	1620.7498	7.424026	1982-1999 –> 2000-2012	2.4411683	3562.3966
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.2536945	1593.2320	7.350197	1982-1999 –> 2000-2012	2.3988491	3528.5670
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.2987170	1627.1028	7.801619	1982-1999 –> 2000-2012	2.4421564	3560.5852
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.2922497	1622.3103	7.422987	1982-1999 –> 2000-2012	2.4459852	3566.8724
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.3014899	1629.1503	7.800856	1982-1999 –> 2000-2012	2.4479741	3565.9196
Atlantic	(28.05,28.07]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	1.2895399	1620.2951	10.180327	1982-1999 –> 2000-2012	2.4043985	3522.4904
Atlantic	(28.05,28.07]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.2737206	1608.4455	11.115318	1982-1999 –> 2000-2012	2.3747210	3495.1806
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.3540053	857.7828	8.034147	2000-2012 –> 2013-2019	2.6400032	2475.4373
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.3772789	864.1336	9.017985	2000-2012 –> 2013-2019	2.6703388	2485.0456
Atlantic	(28.05,28.07]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.3680928	862.8545	8.182076	2000-2012 –> 2013-2019	2.6605724	2485.3356
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.3590280	859.5971	7.933918	2000-2012 –> 2013-2019	2.6491790	2480.3469
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1.3682378	862.9065	7.984742	2000-2012 –> 2013-2019	2.6658056	2489.1594
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.3149220	843.4308	8.390366	2000-2012 –> 2013-2019	2.5686165	2436.6628
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.3751958	865.3920	8.036287	2000-2012 –> 2013-2019	2.6739128	2492.4948
Atlantic	(28.05,28.07]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.3608784	860.2638	7.931976	2000-2012 –> 2013-2019	2.6531281	2482.5740
Atlantic	(28.05,28.07]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	1.3756646	865.5590	11.352521	2000-2012 –> 2013-2019	2.6652045	2485.8541
Atlantic	(28.05,28.07]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.3635449	861.2229	12.082856	2000-2012 –> 2013-2019	2.6372654	2469.6684
Atlantic	(28.07,28.1]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	0.9592421	2137.8378	11.751093	1982-1999 –> 2000-2012	1.8711803	4861.0725
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.9746930	2162.4775	8.982711	1982-1999 –> 2000-2012	1.8702785	4848.7632
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	0.9747386	2160.5497	8.899486	1982-1999 –> 2000-2012	1.8710453	4846.4791
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.9648254	2146.7871	10.078422	1982-1999 –> 2000-2012	1.8493828	4807.7717
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.9793020	2169.7519	8.833965	1982-1999 –> 2000-2012	1.8755572	4857.5640
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.9561868	2132.9186	8.405806	1982-1999 –> 2000-2012	1.8524566	4820.7639
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.9723665	2158.7925	9.899343	1982-1999 –> 2000-2012	1.8591765	4824.9709
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.9787340	2168.8574	9.841821	1982-1999 –> 2000-2012	1.8685679	4841.9865
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.9750576	2163.0543	9.897367	1982-1999 –> 2000-2012	1.8634383	4832.8460
Atlantic	(28.07,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.8997007	2039.0245	12.810115	1982-1999 –> 2000-2012	1.8076740	4753.3616
Atlantic	(28.07,28.1]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.0820310	1356.0094	11.804687	2000-2012 –> 2013-2019	2.0412731	3493.8472
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1.0846677	1358.1902	7.713023	2000-2012 –> 2013-2019	2.0593607	3520.6677
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.0970923	1366.3953	8.926031	2000-2012 –> 2013-2019	2.0718310	3526.9450
Atlantic	(28.07,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.0965907	1367.9855	9.140360	2000-2012 –> 2013-2019	2.0614161	3514.7726
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1.0885391	1361.3825	7.585310	2000-2012 –> 2013-2019	2.0678411	3531.1344
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.0563831	1334.5154	8.252844	2000-2012 –> 2013-2019	2.0125699	3467.4339
Atlantic	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1.0900044	1362.5878	7.569607	2000-2012 –> 2013-2019	2.0713219	3535.5101
Atlantic	(28.07,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.0904026	1362.9151	11.767454	2000-2012 –> 2013-2019	2.0581010	3514.2869
Atlantic	(28.07,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.0502600	1329.3067	12.858918	2000-2012 –> 2013-2019	1.9499607	3368.3312
Atlantic	(28.07,28.1]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.0915264	1363.8380	11.766590	2000-2012 –> 2013-2019	2.0612865	3518.4918
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.8520466	1897.2013	4.037992	1982-1999 –> 2000-2012	1.5886541	4090.9223
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + phosphate + phosphate_star	0.8520493	1895.2062	4.045915	1982-1999 –> 2000-2012	1.6044095	4128.3583
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.8503208	1894.1682	4.209669	1982-1999 –> 2000-2012	1.5721197	4048.1247
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.8543220	1901.1912	3.994486	1982-1999 –> 2000-2012	1.5938436	4102.6429
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.8576162	1906.9485	3.996836	1982-1999 –> 2000-2012	1.5994705	4114.5667
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.8412596	1878.1410	3.980567	1982-1999 –> 2000-2012	1.5927058	4110.9131
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.8533337	1899.4595	4.167117	1982-1999 –> 2000-2012	1.5790938	4064.1322
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.8572279	1906.2710	4.146094	1982-1999 –> 2000-2012	1.5884696	4085.6768
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.8559284	1904.0015	3.983130	1982-1999 –> 2000-2012	1.5978144	4111.7033
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.8553185	1902.9352	4.162550	1982-1999 –> 2000-2012	1.5839666	4075.3836
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.9255960	1055.0980	5.139775	2000-2012 –> 2013-2019	1.7776425	2952.2993
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + phosphate + phosphate_star	0.9294333	1056.3085	5.543274	2000-2012 –> 2013-2019	1.7814826	2951.5146
Atlantic	(28.1,28.13]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.9294323	1058.3076	5.537886	2000-2012 –> 2013-2019	1.7797531	2952.4758
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.9302464	1058.9870	5.030452	2000-2012 –> 2013-2019	1.7845684	2960.1782
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + phosphate	0.9355875	1061.4298	5.495841	2000-2012 –> 2013-2019	1.7900049	2960.7880
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	0.8824951	1018.0947	5.767862	2000-2012 –> 2013-2019	1.7237547	2896.2358
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.9354297	1063.2989	5.432123	2000-2012 –> 2013-2019	1.7887634	2962.7584
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.9325549	1060.9104	5.013208	2000-2012 –> 2013-2019	1.7884833	2964.9119
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + phosphate + phosphate_star	0.9384682	1063.8154	5.507693	2000-2012 –> 2013-2019	1.7946030	2966.1777
Atlantic	(28.1,28.13]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.9382263	1065.6154	5.427616	2000-2012 –> 2013-2019	1.7935448	2968.5505
Atlantic	(28.13,28.15]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.6661609	1330.5288	5.675967	1982-1999 –> 2000-2012	1.2266306	2869.8933
Atlantic	(28.13,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6629456	1324.2390	5.632401	1982-1999 –> 2000-2012	1.2286498	2880.4855
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.6700114	1338.0214	5.582070	1982-1999 –> 2000-2012	1.2344486	2890.1959
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.6731615	1344.1190	5.579264	1982-1999 –> 2000-2012	1.2399461	2903.8305
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6672419	1332.6366	5.538480	1982-1999 –> 2000-2012	1.2368123	2901.2519
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	0.6723430	1342.5375	5.492201	1982-1999 –> 2000-2012	1.2468999	2926.9823
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.6726312	1343.0946	5.561527	1982-1999 –> 2000-2012	1.2405031	2906.2861
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6741818	1346.0880	5.660714	1982-1999 –> 2000-2012	1.2415829	2907.7734
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.6698424	1337.6934	5.527741	1982-1999 –> 2000-2012	1.2422351	2915.2850
Atlantic	(28.13,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.6766976	1350.9302	10.026555	1982-1999 –> 2000-2012	1.2305743	2868.8056
Atlantic	(28.13,28.15]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.6449225	649.2431	2.195899	2000-2012 –> 2013-2019	1.3110834	1979.7719
Atlantic	(28.13,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	0.6498988	654.2239	2.327251	2000-2012 –> 2013-2019	1.3128444	1978.4629
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.6557555	660.0374	2.242887	2000-2012 –> 2013-2019	1.3257669	1998.0588
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.6600129	664.2308	2.228743	2000-2012 –> 2013-2019	1.3331744	2008.3498
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	0.6602191	664.4333	2.364414	2000-2012 –> 2013-2019	1.3274610	1997.0699
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.6583662	662.6121	2.253917	2000-2012 –> 2013-2019	1.3309974	2005.7067
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	0.6576377	661.8947	2.268777	2000-2012 –> 2013-2019	1.3318195	2007.9827
Atlantic	(28.13,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	0.6625006	666.6687	2.370814	2000-2012 –> 2013-2019	1.3323430	2004.3620
Atlantic	(28.13,28.15]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	0.5392724	533.3099	1.616633	2000-2012 –> 2013-2019	1.2379568	1925.8069
Atlantic	(28.13,28.15]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	0.5662307	564.9198	1.900007	2000-2012 –> 2013-2019	1.2429284	1915.8500
Atlantic	(28.15,28.17]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	0.6648804	1309.8548	8.391095	1982-1999 –> 2000-2012	1.2582164	3058.3387
Atlantic	(28.15,28.17]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	0.6647630	1311.6281	8.324273	1982-1999 –> 2000-2012	1.2575539	3060.3325
Atlantic	(28.15,28.17]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.6403748	1263.6362	6.289293	1982-1999 –> 2000-2012	1.2202770	2969.7827
Atlantic	(28.15,28.17]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.6563929	1295.3585	6.533162	1982-1999 –> 2000-2012	1.2429773	3023.6863
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate	0.6498362	1280.4683	6.306396	1982-1999 –> 2000-2012	1.2380008	3012.0042
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.6466666	1276.1901	6.235059	1982-1999 –> 2000-2012	1.2327668	3002.9189
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.6473644	1277.5749	6.238343	1982-1999 –> 2000-2012	1.2341152	3006.4518
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.6439605	1270.8057	6.274521	1982-1999 –> 2000-2012	1.2266993	2986.3992
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.6500953	1282.9800	6.239598	1982-1999 –> 2000-2012	1.2412709	3026.4020
Atlantic	(28.15,28.17]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	0.6041707	1188.9114	9.151053	1982-1999 –> 2000-2012	1.1232200	2680.4321
Atlantic	(28.15,28.17]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	0.5385215	504.8066	1.635951	2000-2012 –> 2013-2019	1.2034019	1814.6614
Atlantic	(28.15,28.17]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	0.5361695	504.1104	1.651439	2000-2012 –> 2013-2019	1.2009325	1815.7385
Atlantic	(28.15,28.17]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.5385026	506.7850	1.641638	2000-2012 –> 2013-2019	1.1788775	1770.4212
Atlantic	(28.15,28.17]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.5497349	519.5016	1.631660	2000-2012 –> 2013-2019	1.2061278	1814.8601
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate	0.5481570	515.7309	1.675098	2000-2012 –> 2013-2019	1.1979932	1796.1992
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.5480578	517.6194	1.668012	2000-2012 –> 2013-2019	1.1947244	1793.8095
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.5477745	517.3009	1.660080	2000-2012 –> 2013-2019	1.1951389	1794.8758
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.5478876	517.4281	1.686359	2000-2012 –> 2013-2019	1.1918481	1788.2338
Atlantic	(28.15,28.17]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.5506843	520.5645	1.680687	2000-2012 –> 2013-2019	1.2007796	1803.5445
Atlantic	(28.15,28.17]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	0.3671838	270.9002	1.498841	2000-2012 –> 2013-2019	0.9713545	1459.8116
Atlantic	(28.17,28.2]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	0.6154721	2573.8568	13.475362	1982-1999 –> 2000-2012	0.9887899	4226.0481
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.5876352	2446.9480	9.151739	1982-1999 –> 2000-2012	1.0000398	4475.3328
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	0.6069563	2535.6530	9.939270	1982-1999 –> 2000-2012	1.0074441	4453.2609
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.5807158	2414.4697	9.884016	1982-1999 –> 2000-2012	0.9513154	4039.0514
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.5911779	2463.4295	9.002568	1982-1999 –> 2000-2012	1.0115806	4564.3824
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.6027218	2516.4562	9.963106	1982-1999 –> 2000-2012	0.9928776	4335.3182
Atlantic	(28.17,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	0.4944300	1973.4028	12.739297	1982-1999 –> 2000-2012	0.7665624	2431.2111
Atlantic	(28.17,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	0.6232573	2608.3233	13.728180	1982-1999 –> 2000-2012	0.9996701	4291.7072
Atlantic	(28.17,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	0.6220252	2602.8972	13.822050	1982-1999 –> 2000-2012	0.9953635	4255.2956
Atlantic	(28.17,28.2]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	0.6277709	2628.1092	13.825947	1982-1999 –> 2000-2012	1.0092549	4362.0518
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate	0.7458853	1745.6628	4.265743	2000-2012 –> 2013-2019	1.3744435	4375.2087
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.7250053	1703.9378	4.620364	2000-2012 –> 2013-2019	1.3126405	4150.8858
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.7253781	1702.7295	4.530881	2000-2012 –> 2013-2019	1.3233685	4195.5760
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	0.7371870	1729.5982	4.723470	2000-2012 –> 2013-2019	1.3441433	4265.2512
Atlantic	(28.17,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.7228431	1699.3383	4.846589	2000-2012 –> 2013-2019	1.3035590	4113.8080
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.7291392	1712.6939	4.577226	2000-2012 –> 2013-2019	1.3220360	4184.0841
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.7253737	1704.7202	4.521335	2000-2012 –> 2013-2019	1.3165517	4168.1496
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.7531338	1762.5563	4.896477	2000-2012 –> 2013-2019	1.3558556	4279.0125
Atlantic	(28.17,28.2]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.7347134	1724.4222	4.617842	2000-2012 –> 2013-2019	1.3328294	4219.8443
Atlantic	(28.17,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	0.7251683	1704.2840	8.908069	2000-2012 –> 2013-2019	1.2195983	3677.6868
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate	0.3429184	2958.3108	2.037539	1982-1999 –> 2000-2012	0.6478106	5713.4989
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.3391792	2867.6653	2.211193	1982-1999 –> 2000-2012	0.6440319	5623.3136
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.3501288	3134.1416	1.949898	1982-1999 –> 2000-2012	0.6565772	5949.7518
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.3534411	3213.7066	1.988553	1982-1999 –> 2000-2012	0.6596790	6021.1606
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	0.3255418	2520.8956	2.143799	1982-1999 –> 2000-2012	0.6303960	5276.6069
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.3490030	3108.9287	2.067840	1982-1999 –> 2000-2012	0.6550932	5912.6573
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.3393669	2872.3409	2.206547	1982-1999 –> 2000-2012	0.6442495	5629.1521
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.3395940	2877.9930	2.205103	1982-1999 –> 2000-2012	0.6447888	5646.9529
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.3509290	3155.4335	2.134668	1982-1999 –> 2000-2012	0.6570626	5960.8427
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.3379706	2837.5014	2.209241	1982-1999 –> 2000-2012	0.6389390	5440.9641
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate	0.3950700	2362.2400	2.495027	2000-2012 –> 2013-2019	0.7379884	5320.5508
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	0.3783565	2157.0140	2.771724	2000-2012 –> 2013-2019	0.7175357	5024.6793
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	0.4135856	2581.8126	2.572196	2000-2012 –> 2013-2019	0.7637143	5715.9542
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	0.4165997	2616.6231	2.435991	2000-2012 –> 2013-2019	0.7700408	5830.3298
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	0.3619309	1944.2398	2.679695	2000-2012 –> 2013-2019	0.6874727	4465.1354
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	0.4134611	2582.3694	2.655486	2000-2012 –> 2013-2019	0.7624641	5691.2982
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	0.3786330	2160.5167	2.768969	2000-2012 –> 2013-2019	0.7179999	5032.8576
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	0.3788945	2163.8268	2.767863	2000-2012 –> 2013-2019	0.7184885	5041.8198
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	0.4031930	2461.8100	2.685125	2000-2012 –> 2013-2019	0.7541221	5617.2435
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	0.3777333	2149.1120	2.771424	2000-2012 –> 2013-2019	0.7157039	4986.6135
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5.9368924	35970.5975	33.206006	1982-1999 –> 2000-2012	12.1836597	85952.5079
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	6.2801597	36600.1682	29.818984	1982-1999 –> 2000-2012	12.8626803	87384.7542
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.2388929	36528.0930	29.366420	1982-1999 –> 2000-2012	12.7725705	87200.2068
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6.0579613	36197.4241	33.818877	1982-1999 –> 2000-2012	12.4174769	86454.2748
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6.1136918	36300.3175	34.053133	1982-1999 –> 2000-2012	12.5238257	86679.0210
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	6.4254929	36857.2246	30.208689	1982-1999 –> 2000-2012	13.1429671	87953.7368
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.2733617	36589.9990	29.675295	1982-1999 –> 2000-2012	12.8523383	87368.3078
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.3773992	36774.8088	29.718986	1982-1999 –> 2000-2012	13.0347184	87735.0625
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.4461499	36895.2887	29.845366	1982-1999 –> 2000-2012	13.1621308	87990.3838
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6.1369641	36343.0072	34.054990	1982-1999 –> 2000-2012	12.5721086	86781.5633
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5.6641426	18718.1540	28.268543	2000-2012 –> 2013-2019	11.6010350	54688.7514
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	5.9966384	19054.5361	24.645119	2000-2012 –> 2013-2019	12.2767981	55654.7043
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.9243606	18984.6030	23.875073	2000-2012 –> 2013-2019	12.1632535	55512.6960
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5.7682183	18826.1621	29.166503	2000-2012 –> 2013-2019	11.8261796	55023.5862
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5.8220861	18881.3024	29.808032	2000-2012 –> 2013-2019	11.9357779	55181.6200
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.9924378	19052.3794	24.457831	2000-2012 –> 2013-2019	12.2657995	55642.3784
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.0470335	19106.1797	24.650519	2000-2012 –> 2013-2019	12.4244327	55880.9886
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5.8363044	18895.7715	29.341398	2000-2012 –> 2013-2019	11.9732685	55238.7787
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate_star	5.9978940	19055.7781	27.345614	2000-2012 –> 2013-2019	12.4545857	55967.4267
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5.9955754	19055.4845	27.200018	2000-2012 –> 2013-2019	12.4477444	55961.2600
Indo-Pacific	(26,26.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.6787444	14817.9177	49.762588	1982-1999 –> 2000-2012	9.2545408	35427.5911
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.7153998	14856.9217	54.832908	1982-1999 –> 2000-2012	9.4293715	35675.0238
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.8167910	14963.2503	46.600090	1982-1999 –> 2000-2012	9.6116646	35900.5703
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.6822814	14821.6946	52.586114	1982-1999 –> 2000-2012	9.3852326	35623.3987
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.7077818	14848.8405	51.254957	1982-1999 –> 2000-2012	9.4383449	35691.5579
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.8564081	15004.1896	43.129236	1982-1999 –> 2000-2012	9.7002240	36012.6589
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4.7138151	14855.2417	50.981805	1982-1999 –> 2000-2012	9.4531456	35710.9316
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.6897191	14829.6275	48.024355	1982-1999 –> 2000-2012	9.2803562	35461.9867
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.7197253	14861.5043	46.753038	1982-1999 –> 2000-2012	9.3386122	35536.8448
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.7293306	14871.6656	46.397448	1982-1999 –> 2000-2012	9.3606557	35565.8471
Indo-Pacific	(26,26.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.5815517	7719.3578	14.310437	2000-2012 –> 2013-2019	9.2602961	22537.2755
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.6195264	7740.9845	24.022408	2000-2012 –> 2013-2019	9.3349262	22597.9061
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.7383286	7807.5122	13.109604	2000-2012 –> 2013-2019	9.5551196	22770.7625
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.6727729	7771.0109	25.033796	2000-2012 –> 2013-2019	9.3550543	22592.7055
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.7330862	7804.6119	25.571957	2000-2012 –> 2013-2019	9.4408680	22653.4524
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.8460824	7866.4260	13.453180	2000-2012 –> 2013-2019	9.7024905	22870.6156
Indo-Pacific	(26,26.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4.7413536	7809.1843	25.443652	2000-2012 –> 2013-2019	9.4551687	22664.4261
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.6193040	7740.8583	14.811820	2000-2012 –> 2013-2019	9.3090231	22570.4858
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.6659368	7767.1752	15.124352	2000-2012 –> 2013-2019	9.3856621	22628.6795
Indo-Pacific	(26,26.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.6773655	7773.5847	15.097630	2000-2012 –> 2013-2019	9.4066961	22645.2503
Indo-Pacific	(26.25,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.3619913	20112.4771	48.593080	1982-1999 –> 2000-2012	8.1463951	46744.8013
Indo-Pacific	(26.25,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.5035378	20332.4225	41.050110	1982-1999 –> 2000-2012	8.5021156	47495.6345
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.2967935	20007.8127	41.733241	1982-1999 –> 2000-2012	8.0931591	46670.6854
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.3826330	20145.2881	39.831138	1982-1999 –> 2000-2012	8.2663296	47028.3155
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.4570258	20262.2705	38.552275	1982-1999 –> 2000-2012	8.4049691	47304.1208
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.4652548	20275.0904	38.427314	1982-1999 –> 2000-2012	8.4255305	47347.1316
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.4396485	20235.1205	48.107948	1982-1999 –> 2000-2012	8.2623476	46964.9068
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.5219980	20362.8527	47.242696	1982-1999 –> 2000-2012	8.3971091	47224.4572
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.4725221	20286.3925	41.352074	1982-1999 –> 2000-2012	8.4508762	47402.5217
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.5381220	20387.5901	48.677826	1982-1999 –> 2000-2012	8.4286305	47287.5809
Indo-Pacific	(26.25,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.3183688	10694.0111	47.754419	2000-2012 –> 2013-2019	8.6803601	30806.4882
Indo-Pacific	(26.25,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.5089187	10852.0348	37.730749	2000-2012 –> 2013-2019	9.0124565	31184.4574
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.3865138	10752.0361	40.412286	2000-2012 –> 2013-2019	8.6833072	30759.8488
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.4738125	10825.0672	37.369496	2000-2012 –> 2013-2019	8.8564455	30970.3552
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.5383065	10878.1110	35.814686	2000-2012 –> 2013-2019	8.9953322	31140.3815
Indo-Pacific	(26.25,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.5421790	10881.2720	35.707634	2000-2012 –> 2013-2019	9.0074338	31156.3624
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.3550178	10725.3303	46.866321	2000-2012 –> 2013-2019	8.7946663	30960.4509
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.4050488	10767.6626	45.810836	2000-2012 –> 2013-2019	8.9270468	31130.5153
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.4875280	10836.4114	38.825985	2000-2012 –> 2013-2019	8.9600501	31122.8039
Indo-Pacific	(26.25,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.4132449	10774.5517	45.561834	2000-2012 –> 2013-2019	8.9513669	31162.1418
Indo-Pacific	(26.5,26.62]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.8876101	12442.6575	34.656668	1982-1999 –> 2000-2012	7.6566508	29908.7021
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.9073831	12465.3654	34.145351	1982-1999 –> 2000-2012	7.6659872	29913.7855
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.8770018	12430.4269	25.157407	1982-1999 –> 2000-2012	7.5963001	29812.0288
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.9772152	12544.6534	33.536096	1982-1999 –> 2000-2012	7.7910598	30085.8082
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4.0437594	12618.9233	32.551938	1982-1999 –> 2000-2012	7.9094096	30245.8343
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.9893931	12558.3376	24.134215	1982-1999 –> 2000-2012	7.8280644	30140.7335
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.0525146	12628.6038	23.188957	1982-1999 –> 2000-2012	7.9500894	30307.7904
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4.0447897	12620.0636	32.325217	1982-1999 –> 2000-2012	7.9161429	30256.3446
Indo-Pacific	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.9365855	12498.6931	34.381062	1982-1999 –> 2000-2012	7.7558320	30048.8443
Indo-Pacific	(26.5,26.62]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.8975565	12454.0947	25.457537	1982-1999 –> 2000-2012	7.6569088	29903.7799
Indo-Pacific	(26.5,26.62]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3.9512298	7156.4055	57.898212	2000-2012 –> 2013-2019	8.0013923	19780.4107
Indo-Pacific	(26.5,26.62]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.7811390	7045.8494	54.831488	2000-2012 –> 2013-2019	7.6687491	19488.5069
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3.8117439	7066.4708	57.660013	2000-2012 –> 2013-2019	7.7191270	19531.8362
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.0420543	7216.5391	35.519422	2000-2012 –> 2013-2019	7.9190561	19646.9660
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3.8864602	7116.1266	57.070446	2000-2012 –> 2013-2019	7.8636755	19660.7800
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3.9840251	7179.5493	55.326340	2000-2012 –> 2013-2019	8.0277845	19798.4726
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3.9881239	7182.1797	54.936749	2000-2012 –> 2013-2019	8.0329137	19802.2433
Indo-Pacific	(26.5,26.62]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.9366646	7148.9587	41.461764	2000-2012 –> 2013-2019	7.8707862	19644.8494
Indo-Pacific	(26.5,26.62]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3.8622222	7100.1236	57.142408	2000-2012 –> 2013-2019	7.7988076	19598.8167
Indo-Pacific	(26.5,26.62]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.0742400	7236.8270	34.817163	2000-2012 –> 2013-2019	7.9717965	19690.9217
Indo-Pacific	(26.62,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.1523353	15619.9257	22.347114	1982-1999 –> 2000-2012	8.0550095	36516.2359
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.1550318	15623.4898	19.611847	1982-1999 –> 2000-2012	8.0036122	36414.9778
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.1002511	15550.6272	22.135199	1982-1999 –> 2000-2012	7.9255596	36296.5653
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.2150362	15702.2060	20.419996	1982-1999 –> 2000-2012	8.1131556	36589.7459
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.2812183	15787.7371	22.820134	1982-1999 –> 2000-2012	8.1756109	36668.0937
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.1968102	15678.4155	16.621570	1982-1999 –> 2000-2012	8.0839754	36544.8217
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4.2509956	15748.8437	24.088564	1982-1999 –> 2000-2012	8.1525578	36643.0136
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.2409516	15735.8569	16.229804	1982-1999 –> 2000-2012	8.1711121	36684.8741
Indo-Pacific	(26.62,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.1655951	15637.4292	19.845789	1982-1999 –> 2000-2012	8.0331073	36465.7697
Indo-Pacific	(26.62,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.0909001	15538.0925	27.902665	1982-1999 –> 2000-2012	7.9299712	36311.0015
Indo-Pacific	(26.62,26.75]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4.5170234	8324.0886	22.409343	2000-2012 –> 2013-2019	8.7664528	24068.9093
Indo-Pacific	(26.62,26.75]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.4383809	8276.2080	22.308787	2000-2012 –> 2013-2019	8.5907162	23896.1338
Indo-Pacific	(26.62,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.5383000	8337.4345	19.210143	2000-2012 –> 2013-2019	8.7770342	24068.4202
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.4371411	8275.4146	19.806462	2000-2012 –> 2013-2019	8.5921729	23898.9044
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.4276491	8269.3328	22.451890	2000-2012 –> 2013-2019	8.5279002	23819.9600
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.4966246	8313.2342	20.668706	2000-2012 –> 2013-2019	8.7116608	24015.4401
Indo-Pacific	(26.62,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.5113428	8322.5148	17.384165	2000-2012 –> 2013-2019	8.7081530	24000.9303
Indo-Pacific	(26.62,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.4424915	8278.8371	19.696154	2000-2012 –> 2013-2019	8.6080865	23916.2662
Indo-Pacific	(26.62,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.5188782	8327.2546	22.588788	2000-2012 –> 2013-2019	8.7548853	24056.7070
Indo-Pacific	(26.62,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.4237997	8266.8626	25.205185	2000-2012 –> 2013-2019	8.5146998	23804.9551
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.2658816	17438.1346	18.048528	1982-1999 –> 2000-2012	8.0596125	41264.9345
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.2883583	17468.0437	17.949311	1982-1999 –> 2000-2012	8.0903987	41311.7736
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.2834959	17463.1551	17.486092	1982-1999 –> 2000-2012	8.0834726	41304.1873
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.3510743	17558.2019	13.487203	1982-1999 –> 2000-2012	8.2433791	41606.9388
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + phosphate	4.3848083	17603.0968	13.118945	1982-1999 –> 2000-2012	8.2933523	41685.8558
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.2637657	17435.1221	20.471758	1982-1999 –> 2000-2012	8.0442953	41231.7626
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.3815768	17600.6201	13.125286	1982-1999 –> 2000-2012	8.2894184	41683.8243
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.2539468	17421.1230	20.473340	1982-1999 –> 2000-2012	8.0442574	41240.1192
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.2711516	17443.6313	20.662857	1982-1999 –> 2000-2012	8.0669231	41273.0837
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.2649781	17436.8485	20.229139	1982-1999 –> 2000-2012	8.0573855	41260.6295
Indo-Pacific	(26.75,26.88]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4.7978657	9648.4159	14.866861	2000-2012 –> 2013-2019	9.1758040	27241.9917
Indo-Pacific	(26.75,26.88]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.7939243	9647.7647	15.521037	2000-2012 –> 2013-2019	9.1605160	27227.5828
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.7233662	9599.9308	20.130421	2000-2012 –> 2013-2019	8.9892477	27038.0654
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.7561902	9620.2716	20.121712	2000-2012 –> 2013-2019	9.0445484	27088.3153
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.7560299	9622.1629	20.029135	2000-2012 –> 2013-2019	9.0395258	27085.3180
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4.8149545	9661.8857	15.834552	2000-2012 –> 2013-2019	9.1660288	27220.0876
Indo-Pacific	(26.75,26.88]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.7176618	9596.0324	22.914460	2000-2012 –> 2013-2019	8.9814275	27031.1546
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.6918679	9578.3458	22.672797	2000-2012 –> 2013-2019	8.9458147	26999.4688
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.7178324	9594.1490	22.927780	2000-2012 –> 2013-2019	8.9889840	27037.7803
Indo-Pacific	(26.75,26.88]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.7172563	9595.7551	22.773375	2000-2012 –> 2013-2019	8.9822345	27032.6037
Indo-Pacific	(26.88,27]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.4355099	18041.3857	25.898902	1982-1999 –> 2000-2012	8.2286261	41553.0413
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.4140122	18011.2726	26.045918	1982-1999 –> 2000-2012	8.1098284	41301.0556
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.4371106	18041.6221	24.264806	1982-1999 –> 2000-2012	8.1481626	41364.5300
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.2913515	17836.5985	20.039855	1982-1999 –> 2000-2012	7.8574352	40821.2894
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.3967512	17986.9879	22.699986	1982-1999 –> 2000-2012	8.0758855	41238.1454
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.4831034	18107.5368	21.614341	1982-1999 –> 2000-2012	8.2355083	41527.0589
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.5419481	18188.3617	21.014503	1982-1999 –> 2000-2012	8.3654977	41768.2469
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.3918870	17980.1271	23.861937	1982-1999 –> 2000-2012	8.0853706	41264.5197
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.4067857	17999.1173	22.235181	1982-1999 –> 2000-2012	8.1090301	41301.7375
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.2335895	17752.6063	17.408165	1982-1999 –> 2000-2012	7.7702968	40666.6723
Indo-Pacific	(26.88,27]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.6841652	9881.2104	29.332526	2000-2012 –> 2013-2019	9.1196751	27922.5961
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.7005525	9892.8399	28.867197	2000-2012 –> 2013-2019	9.1145647	27904.1126
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.7306674	9912.1061	26.349650	2000-2012 –> 2013-2019	9.1677780	27953.7282
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.5878487	9812.0247	21.614841	2000-2012 –> 2013-2019	8.8792002	27648.6232
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.7114625	9900.5599	25.237876	2000-2012 –> 2013-2019	9.1082138	27887.5478
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.7438984	9923.4066	23.457733	2000-2012 –> 2013-2019	9.2270019	28030.9434
Indo-Pacific	(26.88,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.7938029	9958.2543	22.854692	2000-2012 –> 2013-2019	9.3357511	28146.6160
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.7053652	9896.2476	27.207776	2000-2012 –> 2013-2019	9.0972522	27876.3747
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.7281200	9910.3124	24.732684	2000-2012 –> 2013-2019	9.1349057	27909.4296
Indo-Pacific	(26.88,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.5605506	9792.1517	19.261150	2000-2012 –> 2013-2019	8.7941402	27544.7581
Indo-Pacific	(27,27.12]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.0382886	19554.0605	44.519144	1982-1999 –> 2000-2012	7.4587169	45753.1516
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4.2487039	19906.6656	50.344750	1982-1999 –> 2000-2012	7.8313998	46563.9702
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + aou + phosphate + phosphate_star	4.3580992	20081.1452	44.172954	1982-1999 –> 2000-2012	8.0551531	47047.0750
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.0017954	19491.0419	32.005435	1982-1999 –> 2000-2012	7.4102872	45655.5727
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.2470784	19904.0091	39.872991	1982-1999 –> 2000-2012	7.8852258	46713.1532
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.3277197	20034.5844	35.173516	1982-1999 –> 2000-2012	8.0062659	46952.8998
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.2535788	19914.6260	45.304806	1982-1999 –> 2000-2012	7.9017643	46751.0094
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.2204948	19860.4207	45.175852	1982-1999 –> 2000-2012	7.7934429	46490.7910
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.8571483	19235.4723	24.145799	1982-1999 –> 2000-2012	7.2310039	45299.0302
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.3512499	20072.2264	44.796013	1982-1999 –> 2000-2012	8.0586251	47067.7170
Indo-Pacific	(27,27.12]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.8338842	10890.3467	35.006798	2000-2012 –> 2013-2019	8.8721727	30444.4072
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5.1088824	11091.3066	38.853779	2000-2012 –> 2013-2019	9.3575864	30997.9721
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.6597849	10757.1212	24.576646	2000-2012 –> 2013-2019	8.6615802	30248.1631
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.9095412	10946.7523	30.271700	2000-2012 –> 2013-2019	9.1566196	30850.7614
Indo-Pacific	(27,27.12]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.0574355	11054.5466	27.083948	2000-2012 –> 2013-2019	9.3851552	31089.1310
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.9350314	10965.5607	31.529980	2000-2012 –> 2013-2019	9.1886101	30880.1867
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5.0332313	11037.1226	34.528194	2000-2012 –> 2013-2019	9.2537261	30897.5433
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.9429467	10969.3815	29.882008	2000-2012 –> 2013-2019	9.2699642	31000.8394
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.3195267	10481.7305	21.547429	2000-2012 –> 2013-2019	8.1766750	29717.2028
Indo-Pacific	(27,27.12]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5.1434253	11115.7811	33.372037	2000-2012 –> 2013-2019	9.4946752	31188.0075
Indo-Pacific	(27.12,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.6779781	23433.5226	49.864659	1982-1999 –> 2000-2012	6.7368722	52714.2619
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.9291845	24002.1100	40.766191	1982-1999 –> 2000-2012	7.2400361	54195.9467
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.1709848	24516.0627	38.391874	1982-1999 –> 2000-2012	7.6228565	55191.0795
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4.2993994	24777.0237	79.893649	1982-1999 –> 2000-2012	7.7163471	55334.7319
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	4.2225566	24621.8183	64.368637	1982-1999 –> 2000-2012	7.7078838	55408.1036
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.7516304	23604.1565	49.716056	1982-1999 –> 2000-2012	6.8821704	53151.9783
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.8342126	23791.5401	50.523640	1982-1999 –> 2000-2012	7.0480514	53642.3040
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.7962147	23705.8272	28.086365	1982-1999 –> 2000-2012	6.8932941	53129.6835
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.8147474	23747.7385	49.602290	1982-1999 –> 2000-2012	7.0158257	53552.6078
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4.3192579	24814.6824	79.766750	1982-1999 –> 2000-2012	7.7587508	55446.2557
Indo-Pacific	(27.12,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4.5338844	13769.8496	36.725595	2000-2012 –> 2013-2019	8.2118626	37203.3722
Indo-Pacific	(27.12,27.25]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.9532566	14183.1099	28.150926	2000-2012 –> 2013-2019	9.2170117	38886.4880
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4.6685927	13907.2834	30.309136	2000-2012 –> 2013-2019	8.5977772	37909.3934
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4.9541392	14185.9463	24.303092	2000-2012 –> 2013-2019	9.2746762	39005.1770
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.8480968	14084.3811	30.837079	2000-2012 –> 2013-2019	9.0190816	38600.4438
Indo-Pacific	(27.12,27.25]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4.8076921	14045.0968	24.797133	2000-2012 –> 2013-2019	8.9906078	38585.7413
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4.5912980	13828.9175	35.394335	2000-2012 –> 2013-2019	8.3429284	37433.0741
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4.6733840	13912.0983	35.232104	2000-2012 –> 2013-2019	8.5075966	37703.6384
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.3339469	13558.1483	25.107201	2000-2012 –> 2013-2019	8.1301616	37263.9755
Indo-Pacific	(27.12,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4.6383746	13876.8021	34.691490	2000-2012 –> 2013-2019	8.4531220	37624.5406
Indo-Pacific	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate	3.3159065	20733.4722	16.979552	1982-1999 –> 2000-2012	5.9445232	45439.0946
Indo-Pacific	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.2287284	20524.5691	23.468427	1982-1999 –> 2000-2012	5.8275901	45114.3419
Indo-Pacific	(27.25,27.38]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3.3996486	20930.9055	18.097645	1982-1999 –> 2000-2012	6.1736274	46193.7235
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.2037114	20462.9950	21.182687	1982-1999 –> 2000-2012	5.7854802	44984.4571
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.2448891	20564.0921	15.253771	1982-1999 –> 2000-2012	5.8506425	45181.2802
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.2176149	20497.2747	15.843291	1982-1999 –> 2000-2012	5.8012887	45026.3722
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.2494736	20575.2680	21.382607	1982-1999 –> 2000-2012	5.8557795	45194.6513
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.2852868	20662.0349	20.812147	1982-1999 –> 2000-2012	5.9219412	45401.2628
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.9758341	19878.9084	13.629313	1982-1999 –> 2000-2012	5.4048376	43768.9644
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.2704207	20626.1332	20.390440	1982-1999 –> 2000-2012	5.8953981	45319.4134
Indo-Pacific	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate	3.8362953	11673.7407	18.375713	2000-2012 –> 2013-2019	7.1522017	32407.2129
Indo-Pacific	(27.25,27.38]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.7251517	11551.6745	29.699824	2000-2012 –> 2013-2019	6.9538801	32076.2436
Indo-Pacific	(27.25,27.38]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3.9037488	11747.2961	19.244633	2000-2012 –> 2013-2019	7.3033974	32678.2017
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.6831060	11503.7727	27.344642	2000-2012 –> 2013-2019	6.8868174	31966.7676
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.7195189	11545.2887	17.540484	2000-2012 –> 2013-2019	6.9644081	32109.3808
Indo-Pacific	(27.25,27.38]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.6914478	11513.3197	21.968990	2000-2012 –> 2013-2019	6.9090628	32010.5944
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.7526002	11582.6553	27.174802	2000-2012 –> 2013-2019	7.0020738	32157.9234
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.7950365	11630.1094	26.624688	2000-2012 –> 2013-2019	7.0803233	32292.1443
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.3111744	11054.5390	13.595179	2000-2012 –> 2013-2019	6.2870085	30933.4474
Indo-Pacific	(27.25,27.38]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.7749075	11607.6668	25.981148	2000-2012 –> 2013-2019	7.0453282	32233.8000
Indo-Pacific	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate	3.4182225	17981.7297	33.965265	1982-1999 –> 2000-2012	6.4183679	41598.7408
Indo-Pacific	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.4144828	17976.3016	33.379760	1982-1999 –> 2000-2012	6.4034086	41560.1835
Indo-Pacific	(27.38,27.5]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3.4351180	18015.1889	34.760806	1982-1999 –> 2000-2012	6.4943583	41815.0868
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.3904587	17928.3868	32.399586	1982-1999 –> 2000-2012	6.3562174	41439.3126
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.3603096	17867.7736	32.821263	1982-1999 –> 2000-2012	6.3106253	41329.7499
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.3698174	17886.9470	32.478136	1982-1999 –> 2000-2012	6.3182574	41342.9606
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.4169353	17981.1739	33.619579	1982-1999 –> 2000-2012	6.4090007	41574.8993
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.4335407	18014.0723	33.648566	1982-1999 –> 2000-2012	6.4389870	41649.6349
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.1814569	17496.6208	34.308924	1982-1999 –> 2000-2012	6.0706389	40762.2753
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.4234056	17994.0117	33.711448	1982-1999 –> 2000-2012	6.4237856	41613.7558
Indo-Pacific	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate	3.9469904	10057.2270	32.489531	2000-2012 –> 2013-2019	7.3652128	28038.9568
Indo-Pacific	(27.38,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.9403582	10053.1761	31.599626	2000-2012 –> 2013-2019	7.3548410	28029.4778
Indo-Pacific	(27.38,27.5]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3.9553237	10064.8155	32.939845	2000-2012 –> 2013-2019	7.3904417	28080.0044
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.9069477	10022.5385	30.654705	2000-2012 –> 2013-2019	7.2974064	27950.9253
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.8714728	9989.7196	31.452809	2000-2012 –> 2013-2019	7.2317824	27857.4932
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.8885160	10005.5242	30.803195	2000-2012 –> 2013-2019	7.2583334	27892.4712
Indo-Pacific	(27.38,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3.8661095	9984.7316	33.584247	2000-2012 –> 2013-2019	7.2789457	27957.7600
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.9440261	10056.5238	31.885788	2000-2012 –> 2013-2019	7.3609614	28037.6977
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.6821940	9809.3654	34.036416	2000-2012 –> 2013-2019	6.8636509	27305.9863
Indo-Pacific	(27.38,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.9481828	10060.3139	31.995443	2000-2012 –> 2013-2019	7.3715884	28054.3256
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3.0793947	19656.2320	18.558347	1982-1999 –> 2000-2012	5.4231876	43126.6564
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.0267191	19522.9979	14.716265	1982-1999 –> 2000-2012	5.3249589	42790.6756
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.0891694	19680.7047	9.374674	1982-1999 –> 2000-2012	5.4302463	43139.1516
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.0442468	19567.5871	17.439871	1982-1999 –> 2000-2012	5.3480505	42860.2426
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.0525797	19588.6954	9.179575	1982-1999 –> 2000-2012	5.3739573	42959.8513
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.0594002	19605.9295	9.190617	1982-1999 –> 2000-2012	5.3890162	43013.6813
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.9840312	19413.3138	8.961709	1982-1999 –> 2000-2012	5.3615950	43031.5177
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate	3.0545178	19591.5963	9.189813	1982-1999 –> 2000-2012	5.4386401	43236.2561
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.0513439	19585.5685	9.173201	1982-1999 –> 2000-2012	5.3770988	42976.1850
Indo-Pacific	(27.5,27.62]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0388188	19553.8060	19.769003	1982-1999 –> 2000-2012	5.4201007	43188.1515
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3.6879597	11482.0901	15.032272	2000-2012 –> 2013-2019	6.7146787	31005.0880
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.6412794	11428.4620	11.007457	2000-2012 –> 2013-2019	6.7304488	31109.1666
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3.7479448	11550.0153	18.212506	2000-2012 –> 2013-2019	6.7921916	31117.6024
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.5944199	11373.9320	10.301745	2000-2012 –> 2013-2019	6.7311919	31172.7214
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.5840165	11361.7293	10.633191	2000-2012 –> 2013-2019	6.6365963	30950.4247
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.5889531	11367.5241	10.638081	2000-2012 –> 2013-2019	6.6483532	30973.4536
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3.5538966	11326.1992	12.015722	2000-2012 –> 2013-2019	6.5379278	30739.5130
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate	3.6642762	11452.9670	12.525088	2000-2012 –> 2013-2019	6.7187940	31044.5634
Indo-Pacific	(27.5,27.62]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.5773666	11353.9107	10.617332	2000-2012 –> 2013-2019	6.6287105	30939.4791
Indo-Pacific	(27.5,27.62]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.5379365	11307.2500	17.929088	2000-2012 –> 2013-2019	6.5767552	30861.0560
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.8977968	19544.4068	19.959619	1982-1999 –> 2000-2012	4.9135335	43182.8320
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.8535827	19423.4638	11.130844	1982-1999 –> 2000-2012	4.9018828	43240.4767
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.9086786	19573.8900	21.481218	1982-1999 –> 2000-2012	4.9246649	43213.6946
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.7827161	19225.6510	13.727540	1982-1999 –> 2000-2012	4.8996328	43409.8634
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.8262550	19347.7711	10.854121	1982-1999 –> 2000-2012	4.8621796	43097.2493
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.8265735	19348.6574	10.613238	1982-1999 –> 2000-2012	4.8697012	43137.4939
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate	2.8081426	19295.1985	18.595357	1982-1999 –> 2000-2012	4.9253136	43478.7497
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.7973299	19266.8523	17.617752	1982-1999 –> 2000-2012	4.8795656	43266.9826
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.8003329	19275.2919	15.933475	1982-1999 –> 2000-2012	4.8121774	42892.1783
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.8228089	19338.1741	10.554326	1982-1999 –> 2000-2012	4.8639530	43116.1859
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.3533382	10655.7663	12.376561	2000-2012 –> 2013-2019	6.2069209	30079.2301
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3.2445725	10522.2928	19.407711	2000-2012 –> 2013-2019	6.0272886	29747.9438
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate	3.3183312	10611.2854	13.539503	2000-2012 –> 2013-2019	6.1450203	29958.2646
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.3166668	10611.2545	11.918847	2000-2012 –> 2013-2019	6.1429218	29959.0255
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.3155301	10609.8669	11.459051	2000-2012 –> 2013-2019	6.1421036	29958.5243
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate	3.2698679	10551.7295	25.692430	2000-2012 –> 2013-2019	6.0780105	29846.9280
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3.2607983	10542.4860	24.702877	2000-2012 –> 2013-2019	6.0581282	29809.3383
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.2632580	10545.5384	22.417018	2000-2012 –> 2013-2019	6.0635909	29820.8303
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate	3.3693550	10673.0551	23.660620	2000-2012 –> 2013-2019	6.2240296	30097.5282
Indo-Pacific	(27.62,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.3103246	10603.5064	11.353843	2000-2012 –> 2013-2019	6.1331335	29941.6805
Indo-Pacific	(27.75,27.8]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.5829277	9433.3553	17.113822	1982-1999 –> 2000-2012	4.5251945	20886.0615
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.5618464	9400.7545	15.429729	1982-1999 –> 2000-2012	4.5047289	20855.2013
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.5664633	9407.9171	15.583790	1982-1999 –> 2000-2012	4.5146684	20877.3889
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5661388	9407.4141	15.579361	1982-1999 –> 2000-2012	4.5160988	20881.8306
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5617573	9400.6161	16.594801	1982-1999 –> 2000-2012	4.5029642	20850.3246
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5656994	9406.7328	15.578180	1982-1999 –> 2000-2012	4.5155296	20880.7841
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.5897876	9443.9063	16.984435	1982-1999 –> 2000-2012	4.5382936	20914.2263
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.5881352	9441.3674	16.867531	1982-1999 –> 2000-2012	4.5388580	20917.9320
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.5602523	9398.2784	15.752102	1982-1999 –> 2000-2012	4.4949278	20829.4771
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.5876252	9440.5834	16.805919	1982-1999 –> 2000-2012	4.5388092	20918.4463
Indo-Pacific	(27.75,27.8]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3.0521956	5463.8194	20.009521	2000-2012 –> 2013-2019	5.6351233	14897.1747
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.0647174	5472.6219	17.441305	2000-2012 –> 2013-2019	5.6265638	14873.3764
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.0710009	5477.0254	17.222179	2000-2012 –> 2013-2019	5.6374642	14884.9426
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.0701368	5476.4204	17.173592	2000-2012 –> 2013-2019	5.6362756	14883.8345
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3.0465058	5459.8077	19.741699	2000-2012 –> 2013-2019	5.6082631	14860.4238
Indo-Pacific	(27.75,27.8]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.0694550	5475.9429	17.163467	2000-2012 –> 2013-2019	5.6351544	14882.6757
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3.0598074	5469.1746	19.891618	2000-2012 –> 2013-2019	5.6495950	14913.0808
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3.0573455	5467.4440	19.750775	2000-2012 –> 2013-2019	5.6454807	14908.8114
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.0541990	5465.2302	17.979591	2000-2012 –> 2013-2019	5.6144514	14863.5086
Indo-Pacific	(27.75,27.8]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3.0570194	5467.2147	19.681076	2000-2012 –> 2013-2019	5.6446447	14907.7982
Indo-Pacific	(27.8,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.3310383	5885.5340	25.942549	1982-1999 –> 2000-2012	4.3960295	13236.5228
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.3242415	5877.9653	29.931244	1982-1999 –> 2000-2012	4.4123369	13267.0285
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.3158235	5868.5604	29.388533	1982-1999 –> 2000-2012	4.4329891	13304.9358
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.3241076	5877.8160	29.964644	1982-1999 –> 2000-2012	4.4142912	13270.2996
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.3240921	5877.7987	29.994860	1982-1999 –> 2000-2012	4.4167710	13274.3652
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.3240904	5877.7968	29.979026	1982-1999 –> 2000-2012	4.4155556	13272.3780
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.3197115	5872.9085	32.861768	1982-1999 –> 2000-2012	4.4579630	13343.1965
Indo-Pacific	(27.8,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.3253749	5879.2289	26.187236	1982-1999 –> 2000-2012	4.3915674	13232.2078
Indo-Pacific	(27.8,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.3240154	5877.7131	26.211900	1982-1999 –> 2000-2012	4.3920951	13233.8162
Indo-Pacific	(27.8,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.3249230	5878.7252	26.250810	1982-1999 –> 2000-2012	4.3918958	13232.9961
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.5079523	3549.6685	37.875006	2000-2012 –> 2013-2019	4.8237757	9418.2290
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.5046163	3547.6560	38.228718	2000-2012 –> 2013-2019	4.8190884	9414.7034
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + nitrate + silicate + phosphate	2.5082824	3547.8676	38.438378	2000-2012 –> 2013-2019	4.8289774	9419.8747
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.5071609	3549.1914	37.388151	2000-2012 –> 2013-2019	4.8266164	9421.8138
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.5026432	3546.4644	38.095790	2000-2012 –> 2013-2019	4.8144315	9410.5045
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.5022009	3546.1972	38.119010	2000-2012 –> 2013-2019	4.8132884	9409.4514
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.5007944	3545.3470	37.031604	2000-2012 –> 2013-2019	4.8072890	9403.4449
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.5091042	3550.3629	39.718342	2000-2012 –> 2013-2019	4.8288157	9423.2714
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + silicate + phosphate	2.5028472	3544.5877	37.710176	2000-2012 –> 2013-2019	4.8239461	9417.0459
Indo-Pacific	(27.8,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.5025559	3546.4117	38.168067	2000-2012 –> 2013-2019	4.8139414	9410.0001
Indo-Pacific	(27.85,27.9]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.7363397	9342.7026	29.489174	1982-1999 –> 2000-2012	4.2956887	19626.6992
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.6746556	9255.0117	26.768539	1982-1999 –> 2000-2012	4.2747612	19681.2249
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.7154359	9313.2089	30.535070	1982-1999 –> 2000-2012	4.2877600	19642.8804
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.6646756	9240.6343	26.482525	1982-1999 –> 2000-2012	4.2636744	19663.0332
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.6639175	9239.5399	26.458712	1982-1999 –> 2000-2012	4.2629352	19662.0039
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.6760290	9256.9861	27.777863	1982-1999 –> 2000-2012	4.2787128	19692.0732
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.7018701	9293.9469	30.021570	1982-1999 –> 2000-2012	4.2783938	19638.3211
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.7020297	9294.1740	30.087890	1982-1999 –> 2000-2012	4.2806627	19645.9179
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.6644142	9240.2569	26.513665	1982-1999 –> 2000-2012	4.2635347	19663.0753
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.7018757	9293.9548	30.098161	1982-1999 –> 2000-2012	4.2810343	19647.5339
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.5446399	4795.1490	43.341441	2000-2012 –> 2013-2019	5.2192954	14050.1607
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate	2.5485161	4796.2420	42.834779	2000-2012 –> 2013-2019	5.2271523	14054.9734
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.5483122	4798.0794	42.802101	2000-2012 –> 2013-2019	5.2129878	14038.7137
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.5482531	4798.0323	42.804286	2000-2012 –> 2013-2019	5.2121706	14037.5722
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.5479986	4797.8293	42.863364	2000-2012 –> 2013-2019	5.2253217	14056.6749
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.5542381	4802.7992	41.875890	2000-2012 –> 2013-2019	5.2302671	14059.7853
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.5626417	4809.4736	39.947469	2000-2012 –> 2013-2019	5.2645119	14103.4205
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + phosphate	2.5712478	4814.2862	39.052983	2000-2012 –> 2013-2019	5.2386638	14056.8737
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.5488265	4798.4895	42.706777	2000-2012 –> 2013-2019	5.2132407	14038.7464
Indo-Pacific	(27.85,27.9]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.5712442	4816.2834	39.048181	2000-2012 –> 2013-2019	5.2369678	14058.4298
Indo-Pacific	(27.9,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.5055194	9943.4221	26.343774	1982-1999 –> 2000-2012	4.7299650	22451.7114
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.5089502	9949.2349	21.851168	1982-1999 –> 2000-2012	4.7149004	22410.5005
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.5087336	9948.8682	21.820938	1982-1999 –> 2000-2012	4.7176099	22417.5995
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.5089113	9949.1691	21.822713	1982-1999 –> 2000-2012	4.7193371	22421.8498
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.5087681	9948.9267	21.818605	1982-1999 –> 2000-2012	4.7182641	22419.2377
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.4599610	9865.4690	20.558223	1982-1999 –> 2000-2012	4.7169315	22455.5108
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	2.5551367	10026.7240	25.415537	1982-1999 –> 2000-2012	4.8142046	22621.9971
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.5098382	9950.7382	26.407539	1982-1999 –> 2000-2012	4.7387814	22470.4033
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.5118364	9954.1189	26.496666	1982-1999 –> 2000-2012	4.7443329	22482.7552
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.5101263	9951.2257	26.394293	1982-1999 –> 2000-2012	4.7402354	22473.8361
Indo-Pacific	(27.9,27.95]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.9529891	5647.9555	24.786754	2000-2012 –> 2013-2019	5.4585085	15591.3776
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.8700044	5583.7637	20.085968	2000-2012 –> 2013-2019	5.3789546	15532.9986
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.8704149	5584.0858	20.077301	2000-2012 –> 2013-2019	5.3791485	15532.9540
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.8708017	5584.3892	20.087157	2000-2012 –> 2013-2019	5.3797130	15533.5583
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + phosphate	2.8710920	5582.6169	19.943698	2000-2012 –> 2013-2019	5.3994856	15562.6454
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.8704317	5584.0989	20.075584	2000-2012 –> 2013-2019	5.3791998	15533.0256
Indo-Pacific	(27.9,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.8506248	5568.5056	20.046262	2000-2012 –> 2013-2019	5.3105859	15433.9746
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.9586848	5652.2950	24.837341	2000-2012 –> 2013-2019	5.4685231	15603.0332
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.9607210	5653.8443	24.913115	2000-2012 –> 2013-2019	5.4725575	15607.9632
Indo-Pacific	(27.9,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.9583613	5652.0487	24.810082	2000-2012 –> 2013-2019	5.4684875	15603.2744
Indo-Pacific	(27.95,28]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.1596391	6948.3708	8.338028	1982-1999 –> 2000-2012	4.0968125	15857.1709
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.1910993	6994.1871	8.349122	1982-1999 –> 2000-2012	4.1535713	15958.4686
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.1630218	6953.3290	8.479831	1982-1999 –> 2000-2012	4.0979187	15857.1013
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.1724942	6967.1721	8.536527	1982-1999 –> 2000-2012	4.1164527	15890.9233
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate	2.1634210	6951.9136	8.565736	1982-1999 –> 2000-2012	4.0986577	15854.4368
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.1548824	6941.3854	8.335580	1982-1999 –> 2000-2012	4.0900742	15845.8093
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.1555138	6942.3135	8.344410	1982-1999 –> 2000-2012	4.0907237	15846.7775
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.1929789	6996.9036	8.521505	1982-1999 –> 2000-2012	4.1555462	15961.3927
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.1545661	6940.9204	8.336029	1982-1999 –> 2000-2012	4.0894574	15844.6802
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2.1732620	6966.2916	8.653062	1982-1999 –> 2000-2012	4.1189067	15891.7501
Indo-Pacific	(27.95,28]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.2785405	4418.2183	6.929229	2000-2012 –> 2013-2019	4.4381796	11366.5890
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.3051239	4440.9993	7.490970	2000-2012 –> 2013-2019	4.4681458	11394.3284
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.2610753	4403.1060	6.931526	2000-2012 –> 2013-2019	4.4423846	11383.1067
Indo-Pacific	(27.95,28]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.3053358	4441.1798	7.798533	2000-2012 –> 2013-2019	4.4778300	11408.3519
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	2.2650274	4406.5359	7.640377	2000-2012 –> 2013-2019	4.4583431	11403.9260
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate	2.3071349	4440.7119	7.537939	2000-2012 –> 2013-2019	4.4705558	11392.6255
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2.2718348	4412.4297	7.010535	2000-2012 –> 2013-2019	4.4267173	11353.8152
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2.2738650	4414.1840	6.993394	2000-2012 –> 2013-2019	4.4293788	11356.4975
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + nitrate + silicate + phosphate	2.2726238	4411.1116	7.220011	2000-2012 –> 2013-2019	4.4551537	11390.8845
Indo-Pacific	(27.95,28]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2.2717662	4412.3704	7.002799	2000-2012 –> 2013-2019	4.4263323	11353.2908
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.1453168	10558.5150	8.423689	1982-1999 –> 2000-2012	4.0434620	24912.9518
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.1397427	10545.9437	8.048616	1982-1999 –> 2000-2012	4.0335575	24884.4797
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.2317071	10749.2802	8.392595	1982-1999 –> 2000-2012	4.1508909	25180.4579
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate	2.1485726	10563.8426	8.416580	1982-1999 –> 2000-2012	4.0652219	24983.8202
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.1432952	10553.9593	8.372302	1982-1999 –> 2000-2012	4.0451086	24921.8377
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2.2334794	10751.1160	8.738214	1982-1999 –> 2000-2012	4.1568258	25195.3776
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.2345513	10755.4345	8.668331	1982-1999 –> 2000-2012	4.1361417	25122.4965
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.1372285	10540.2629	8.058251	1982-1999 –> 2000-2012	4.0536153	24961.2867
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2.2162099	10715.6092	8.542896	1982-1999 –> 2000-2012	4.1276213	25118.5348
Indo-Pacific	(28,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.2244129	10733.4612	8.065596	1982-1999 –> 2000-2012	4.1576098	25215.2883
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2.4358867	5690.1350	9.257082	2000-2012 –> 2013-2019	4.6261757	16348.8959
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2.4409598	5695.2488	9.741118	2000-2012 –> 2013-2019	4.5862767	16253.7638
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2.3999697	5653.6220	8.810865	2000-2012 –> 2013-2019	4.5397123	16199.5657
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate	2.4632370	5715.5798	9.755377	2000-2012 –> 2013-2019	4.6118096	16279.4224
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2.4301974	5684.3873	9.590547	2000-2012 –> 2013-2019	4.5734926	16238.3467
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2.4360727	5690.3226	9.271949	2000-2012 –> 2013-2019	4.6260208	16348.3314
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2.4358539	5690.1019	9.255640	2000-2012 –> 2013-2019	4.6269452	16350.6323
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate	2.4436629	5695.9693	9.158978	2000-2012 –> 2013-2019	4.6339528	16352.7321
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2.4360500	5690.2997	9.270836	2000-2012 –> 2013-2019	4.6260163	16348.3487
Indo-Pacific	(28,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2.4073847	5661.2046	8.720794	2000-2012 –> 2013-2019	4.5446132	16201.4675
Indo-Pacific	(28.05,28.07]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.8179878	5007.2720	8.692468	1982-1999 –> 2000-2012	3.3927601	11303.4791
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.8145182	5002.5421	8.571193	1982-1999 –> 2000-2012	3.4011413	11323.8949
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.8175377	5006.6589	8.586285	1982-1999 –> 2000-2012	3.4057127	11331.2908
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1.8194075	5009.2048	8.667327	1982-1999 –> 2000-2012	3.3974823	11312.4383
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.8174405	5006.5265	8.583365	1982-1999 –> 2000-2012	3.4057193	11331.3776
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.8223891	5013.2591	8.698337	1982-1999 –> 2000-2012	3.3996849	11314.8365
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.8229919	5014.0779	8.689088	1982-1999 –> 2000-2012	3.4015492	11318.3369
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.7926099	4972.4652	8.273046	1982-1999 –> 2000-2012	3.3648104	11263.1903
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + nitrate + silicate + phosphate	1.8248439	5014.5921	8.769110	1982-1999 –> 2000-2012	3.4030155	11316.0313
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.8222587	5013.0818	8.696363	1982-1999 –> 2000-2012	3.3996218	11314.8025
Indo-Pacific	(28.05,28.07]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2.0233990	3254.7926	8.892354	2000-2012 –> 2013-2019	3.8413868	8262.0646
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1.9916848	3230.6851	8.904102	2000-2012 –> 2013-2019	3.8412682	8280.6189
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.9955356	3233.6327	8.521329	2000-2012 –> 2013-2019	3.8100538	8236.1747
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2.0030423	3239.3623	8.651778	2000-2012 –> 2013-2019	3.8219949	8247.9480
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate	2.0056036	3239.3124	8.593314	2000-2012 –> 2013-2019	3.8299526	8253.2328
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9982814	3235.7310	8.534831	2000-2012 –> 2013-2019	3.8158191	8242.3898
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9980192	3235.5307	8.531644	2000-2012 –> 2013-2019	3.8157849	8242.5001
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.9917531	3230.7374	8.487955	2000-2012 –> 2013-2019	3.8116523	8240.6113
Indo-Pacific	(28.05,28.07]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.9976345	3235.2368	8.527978	2000-2012 –> 2013-2019	3.8150749	8241.7633
Indo-Pacific	(28.05,28.07]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.9887041	3228.3996	8.206194	2000-2012 –> 2013-2019	3.7813140	8200.8648
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.7678755	5355.6940	7.683838	1982-1999 –> 2000-2012	3.2940744	13053.3449
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	1.7760672	5366.1112	8.009586	1982-1999 –> 2000-2012	3.3034254	13064.9301
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7333840	5302.7719	8.430462	1982-1999 –> 2000-2012	3.2495042	12972.7804
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1.7655776	5352.2006	7.707515	1982-1999 –> 2000-2012	3.3009974	13074.9815
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1.7696752	5356.4271	7.956383	1982-1999 –> 2000-2012	3.3066598	13081.4578
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7370924	5308.5121	8.431362	1982-1999 –> 2000-2012	3.2547145	12982.6514
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7391149	5311.6377	8.438045	1982-1999 –> 2000-2012	3.2585250	12990.6892
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1.7356671	5306.3073	8.256136	1982-1999 –> 2000-2012	3.2841483	13064.4285
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7567093	5338.6750	7.737906	1982-1999 –> 2000-2012	3.3052518	13096.9613
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7370456	5308.4398	8.425124	1982-1999 –> 2000-2012	3.2553933	12984.5732
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.9012941	2916.5544	8.762036	2000-2012 –> 2013-2019	3.6346781	8219.3263
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1.8852202	2904.6003	7.704342	2000-2012 –> 2013-2019	3.6508417	8256.8676
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.9086831	2922.0157	8.774517	2000-2012 –> 2013-2019	3.6457755	8230.5278
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.9108571	2923.6185	8.781213	2000-2012 –> 2013-2019	3.6499720	8235.2562
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + silicate	1.8909588	2906.8797	7.764547	2000-2012 –> 2013-2019	3.6595172	8261.6111
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1.8909465	2908.8706	7.784531	2000-2012 –> 2013-2019	3.6266136	8215.1779
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.8866766	2905.6876	7.600636	2000-2012 –> 2013-2019	3.6433858	8244.3626
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + silicate + phosphate	1.9510204	2950.9058	9.424774	2000-2012 –> 2013-2019	3.6882907	8257.6931
Indo-Pacific	(28.07,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.9078456	2921.3978	8.764120	2000-2012 –> 2013-2019	3.6448912	8229.8376
Indo-Pacific	(28.07,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.8393624	2869.9274	8.156704	2000-2012 –> 2013-2019	3.5741854	8174.9281
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate	1.5361773	73634.6174	8.733378	1982-1999 –> 2000-2012	2.8079755	165389.8842
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.5089135	72923.3001	10.415983	1982-1999 –> 2000-2012	2.7513833	163390.6644
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.3948961	69793.5465	10.490447	1982-1999 –> 2000-2012	2.5772322	157518.1298
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1.4354153	70934.1635	8.449386	1982-1999 –> 2000-2012	2.6823797	161601.1701
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.5314928	73514.9585	14.185354	1982-1999 –> 2000-2012	2.8636804	167837.0700
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.5281199	73427.1334	14.378394	1982-1999 –> 2000-2012	2.8513606	167376.6806
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.5314910	73514.9130	14.185270	1982-1999 –> 2000-2012	2.8636761	167836.9173
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1.5143319	73066.0856	10.220413	1982-1999 –> 2000-2012	2.7611966	163728.6687
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1.5308210	73497.4825	10.138151	1982-1999 –> 2000-2012	2.7926269	164818.6463
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1.5184453	73174.1397	10.078924	1982-1999 –> 2000-2012	2.7707584	164077.7898
Indo-Pacific	(28.1, Inf]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1.7716198	42649.6756	20.936949	2000-2012 –> 2013-2019	3.2805333	115572.9757
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1.6072486	40564.3886	17.629482	2000-2012 –> 2013-2019	3.0021447	110357.9351
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.7314864	42158.9485	16.581456	2000-2012 –> 2013-2019	3.2626842	115666.2325
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1.6318563	40889.7931	17.025774	2000-2012 –> 2013-2019	3.0672716	111823.9566
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.7317874	42162.6704	16.576870	2000-2012 –> 2013-2019	3.2630874	115672.6150
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.7322153	42167.9616	16.575055	2000-2012 –> 2013-2019	3.2637081	115682.9201
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1.7038406	41814.2505	16.464704	2000-2012 –> 2013-2019	3.2660027	116119.0319
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1.7344727	42195.8521	17.075855	2000-2012 –> 2013-2019	3.2625926	115622.9856
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.7322017	42167.7935	16.574226	2000-2012 –> 2013-2019	3.2636927	115682.7065
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate_star	1.7349951	42200.3016	16.913655	2000-2012 –> 2013-2019	3.2667617	115720.3823

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era  
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.5 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors")

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.1.2 Best models

lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors pooled")

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjacent eras (ie check whether the same predictor combination performs equal in both eras).

6.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all_fitted_wide_eras$rmse,
        lm_all_fitted_wide_eras$rmse_sum - lm_all_fitted_wide_eras$rmse))

lm_all_fitted_wide_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n, names_from = term)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26]	9	4	8	7	10	3	7
(26,26.25]	7	6	6	7	10	6	8
(26.25,26.5]	9	8	6	5	8	5	8
(26.5,26.62]	10	10	8	6	4	4	6
(26.62,26.75]	9	3	9	6	6	10	5
(26.75,26.88]	10	3	7	7	3	10	7
(26.88,27]	8	4	8	8	4	10	7
(27,27.12]	8	5	8	6	6	10	6
(27.12,27.25]	8	5	8	6	6	10	6
(27.25,27.38]	9	10	5	5	4	9	6
(27.38,27.5]	9	10	4	5	4	10	5
(27.5,27.62]	6	6	4	7	10	10	5
(27.62,27.75]	7	4	7	6	10	8	6
(27.75,27.8]	8	4	8	6	10	7	6
(27.8,27.85]	8	6	7	7	10	5	7
(27.85,27.9]	8	6	7	7	10	5	7
(27.9,27.95]	8	3	7	9	7	6	9
(27.95,28]	9	5	5	10	5	3	10
(28,28.05]	5	10	9	5	4	9	6
(28.05,28.07]	8	4	10	8	8	4	7
(28.07,28.1]	9	3	9	8	8	6	6
(28.1,28.13]	8	4	8	8	10	4	7
(28.13,28.15]	7	5	7	8	9	6	8
(28.15,28.17]	9	10	6	7	7	3	6
(28.17,28.2]	9	10	6	7	5	7	6
(28.2, Inf]	9	10	5	5	10	4	4
total	214.00	158.00	182.00	176.00	188.00	174.00	171.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	8	5	7	7	10	5	8
(26,26.25]	8	6	6	6	10	5	8
(26.25,26.5]	8	10	6	6	6	5	8
(26.5,26.62]	9	10	8	7	3	4	7
(26.62,26.75]	9	3	8	7	7	10	4
(26.75,26.88]	9	3	8	7	4	10	7
(26.88,27]	8	7	8	7	5	10	5
(27,27.12]	8	5	7	6	7	10	6
(27.12,27.25]	8	8	5	6	5	10	7
(27.25,27.38]	9	10	4	5	4	10	5
(27.38,27.5]	8	10	5	5	5	10	5
(27.5,27.62]	4	4	4	10	10	10	4
(27.62,27.75]	7	4	7	6	10	8	6
(27.75,27.8]	8	4	7	6	10	8	6
(27.8,27.85]	8	7	8	6	10	4	6
(27.85,27.9]	7	5	7	8	10	5	8
(27.9,27.95]	8	3	7	9	7	6	9
(27.95,28]	8	4	6	10	6	4	10
(28,28.05]	5	10	9	5	4	9	6
(28.05,28.07]	9	5	9	8	8	3	7
(28.07,28.1]	8	6	10	8	6	5	6
(28.1,28.13]	7	3	10	7	10	3	7
(28.13,28.15]	7	6	8	8	8	5	8
(28.15,28.17]	9	10	6	7	7	3	6
(28.17,28.2]	9	10	6	6	9	3	5
(28.2, Inf]	9	10	5	5	10	4	4
total	205.00	168.00	181.00	178.00	191.00	169.00	168.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	9	4	8	7	10	3	7
(26,26.25]	8	8	8	7	6	6	7
(26.25,26.5]	8	4	8	8	4	10	7
(26.5,26.62]	9	6	8	8	7	5	7
(26.62,26.75]	8	5	9	8	7	6	7
(26.75,26.88]	10	3	10	7	7	3	7
(26.88,27]	9	3	10	9	6	5	6
(27,27.12]	9	5	10	8	5	6	6
(27.12,27.25]	7	8	7	8	3	9	7
(27.25,27.38]	7	9	8	7	3	10	4
(27.38,27.5]	7	9	8	7	3	10	4
(27.5,27.62]	6	4	8	6	9	10	6
(27.62,27.75]	5	6	5	6	10	10	7
(27.75,27.8]	7	5	7	8	5	10	8
(27.8,27.85]	7	10	7	7	6	6	7
(27.85,27.9]	8	5	8	8	9	5	7
(27.9,27.95]	7	10	8	7	5	5	8
(27.95,28]	7	8	5	7	3	10	8
(28,28.05]	5	8	6	6	9	10	4
(28.05,28.07]	6	6	9	6	4	10	8
(28.07,28.1]	5	4	8	6	10	10	5
(28.1, Inf]	6	8	7	7	5	10	6
total	160.00	138.00	172.00	158.00	136.00	169.00	143.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	7	6	7	8	10	3	7
(26,26.25]	8	8	8	7	6	6	7
(26.25,26.5]	8	4	8	8	4	10	7
(26.5,26.62]	8	8	8	9	6	4	6
(26.62,26.75]	10	6	10	7	4	6	5
(26.75,26.88]	10	5	10	9	5	3	5
(26.88,27]	9	3	10	9	6	5	6
(27,27.12]	9	5	10	8	4	6	7
(27.12,27.25]	8	7	8	8	4	10	4
(27.25,27.38]	7	9	8	7	3	10	4
(27.38,27.5]	6	9	9	6	4	10	4
(27.5,27.62]	6	4	7	6	9	10	7
(27.62,27.75]	5	4	5	4	10	10	9
(27.75,27.8]	7	5	7	8	5	10	8
(27.8,27.85]	4	5	8	5	10	10	6
(27.85,27.9]	7	8	7	4	10	3	9
(27.9,27.95]	6	10	8	6	6	5	8
(27.95,28]	6	10	6	5	3	9	9
(28,28.05]	5	10	8	5	10	5	5
(28.05,28.07]	8	4	5	7	8	10	7
(28.07,28.1]	5	4	6	5	9	10	9
(28.1, Inf]	5	5	7	7	9	10	6
total	154.00	139.00	170.00	148.00	145.00	165.00	145.00

6.4 RMSE alternatives

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all_fitted_wide_eras %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1