Last updated: 2020-09-14

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library(tidyverse)
library(metR)
basinmask <-
  read_csv(
    here::here(
      "data/World_Ocean_Atlas_2018/_summarized_files",
      "basin_mask_WOA18.csv"
    )
  )

basinmask_AIP <-
  read_csv(
    here::here(
      "data/World_Ocean_Atlas_2018/_summarized_files",
      "basin_mask_WOA18_AIP.csv"
    )
  )

landmask <-
  read_csv(
    here::here(
      "data/World_Ocean_Atlas_2018/_summarized_files",
      "land_mask_WOA18.csv"
    )
  )

1 Predictor fields

Currently, we use combined predictor fields:

  • WOA18: S, T, and derived variables
  • GLODAP16: Oxygen, PO4, NO3, Silicate, and derived variables
predictors <- 
    read_csv(here::here("data/mapping/predictor_fields",
                         "W18_st_G16_opsn.csv"))

2 Load MLR models

lm_all_wide <-
  read_csv(here::here("data/eMLR",
                       "lm_all_wide.csv"))

3 Merge MLRs + climatologies

lm_all_wide <- lm_all_wide %>% 
  mutate(model = str_remove(model, "Cstar ~ "))
         
Cant <- full_join(predictors, lm_all_wide)

rm(predictors, lm_all_wide)

4 Map Cant

4.1 Apply MLRs to predictor

Cant <- Cant %>% 
  mutate(Cant = `delta_coeff_(Intercept)` +
           delta_coeff_aou * aou +
           delta_coeff_oxygen * oxygen +
           delta_coeff_phosphate * phosphate +
           delta_coeff_phosphate_star * phosphate_star +
           delta_coeff_silicate * silicate +
           delta_coeff_sal * sal + 
           delta_coeff_tem * tem)
Cant <- Cant %>% 
  mutate(Cant_intercept = `delta_coeff_(Intercept)`,
         Cant_aou = delta_coeff_aou * aou,
         Cant_oxygen = delta_coeff_oxygen * oxygen,
         Cant_phosphate = delta_coeff_phosphate * phosphate,
         Cant_phosphate_star = delta_coeff_phosphate_star * phosphate_star,
         Cant_silicate = delta_coeff_silicate * silicate,
         Cant_sal = delta_coeff_sal * sal,
         Cant_tem = delta_coeff_tem * tem,
         Cant_sum = Cant_intercept +
           Cant_aou +
           Cant_oxygen +
           Cant_phosphate +
           Cant_phosphate_star +
           Cant_silicate + 
           Cant_sal +
           Cant_tem)

4.2 Sections by model

Zonal sections plots are produced for every 20° longitude, each era and for all models individually and can be downloaded here.

library(scales)

for (i_eras in unique(Cant$eras)) {
  # i_eras <- unique(Cant$eras)[2]
  Cant_eras <- Cant %>%
    filter(eras == i_eras)
  
  for (i_lon in seq(20.5, 360, 20)) {
    # i_lon <- seq(20.5, 360, 20)[7]
    Cant_eras_lon <- Cant_eras %>%
      filter(lon == i_lon)
    
    Cant_eras_lon %>%
      ggplot(aes(lat, depth, col = Cant)) +
      geom_point() +
      scale_color_gradient2(
        name = "Cant",
        high = muted("red"),
        mid = "grey",
        low = muted("blue")
      ) +
      scale_y_reverse(limits = c(parameters$inventory_depth, NA)) +
      scale_x_continuous(limits = c(-75, 65)) +
      coord_cartesian(expand = 0) +
      guides(fill = guide_colorsteps(barheight = unit(10, "cm"))) +
      labs(title = paste("eras:", i_eras, "| lon:", i_lon)) +
      facet_wrap( ~ model, ncol = 5)
    
    ggsave(
      here::here(
        "output/figure/mapping",
        paste(i_eras,
              "lon",
              i_lon,
              "model_Cant.png",
              sep = "_")
      ),
      width = 17,
      height = 9
    )
    
  }
}

4.3 Mean Cant fields

Mean and sd are calculated for Cant in each grid cell (XYZ), basin and era combination. Calculations are performed for all Cant values vs positive values only. This averaging step summarizes the information derived from ten best fitting MLRs.

Cant_predictor_average <- Cant %>%
  mutate(Cant_pos = if_else(Cant < 0, 0, Cant)) %>%
  group_by(lon, lat, depth, eras, basin) %>%
  summarise(Cant_intercept = mean(Cant_intercept, na.rm = TRUE),
            Cant_aou = mean(Cant_aou, na.rm = TRUE),
            Cant_oxygen = mean(Cant_oxygen, na.rm = TRUE),
            Cant_phosphate = mean(Cant_phosphate, na.rm = TRUE),
            Cant_phosphate_star = mean(Cant_phosphate_star, na.rm = TRUE),
            Cant_silicate = mean(Cant_silicate, na.rm = TRUE),
            Cant_tem = mean(Cant_tem, na.rm = TRUE),
            Cant_sal = mean(Cant_sal, na.rm = TRUE),
            Cant_sum = mean(Cant_sum, na.rm = TRUE),
            gamma_mean = mean(gamma, na.rm = TRUE)
            ) %>%
  ungroup()

Cant_predictor_average_Atl <- Cant_predictor_average %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slab = cut(gamma_mean, parameters$slabs_Atl))

Cant_predictor_average_Ind_Pac <- Cant_predictor_average %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slab = cut(gamma_mean, parameters$slabs_Ind_Pac))

Cant_predictor_average <- bind_rows(Cant_predictor_average_Atl, Cant_predictor_average_Ind_Pac)

rm(Cant_predictor_average_Atl, Cant_predictor_average_Ind_Pac)

# Cant <- Cant %>%
#   select(lon, lat, depth, eras, basin, Cant, gamma, model)

Cant_average <- Cant %>%
  mutate(Cant_pos = if_else(Cant < 0, 0, Cant)) %>%
  group_by(lon, lat, depth, eras, basin) %>%
  summarise(Cant_mean = mean(Cant, na.rm = TRUE),
            Cant_sd = sd(Cant, na.rm = TRUE),
            Cant_pos_mean = mean(Cant_pos, na.rm = TRUE),
            Cant_pos_sd = sd(Cant_pos, na.rm = TRUE),
            gamma_mean = mean(gamma, na.rm = TRUE),
            gamma_sd = sd(gamma, na.rm = TRUE)) %>%
  ungroup()

Cant_average_Atl <- Cant_average %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slab = cut(gamma_mean, parameters$slabs_Atl))

Cant_average_Ind_Pac <- Cant_average %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slab = cut(gamma_mean, parameters$slabs_Ind_Pac))

Cant_average <- bind_rows(Cant_average_Atl, Cant_average_Ind_Pac)

rm(Cant_average_Atl, Cant_average_Ind_Pac)

4.4 Mean Cant sections

For each basin and era combination, the zonal mean Cant is calculated, again for all vs positive only values. Likewise, sd is calculated for the averaging of the mean basin fields.

Cant_average <- left_join(Cant_average,
                          basinmask_AIP %>% select(-basin))

Cant_average_zonal <- Cant_average %>%
  group_by(lat, depth, eras, basin, basin_AIP) %>%
  summarise(across(
    c(
      "Cant_mean",
      "Cant_pos_mean",
      "Cant_sd",
      "Cant_pos_sd",
      "gamma_mean",
      "gamma_sd"
    ),
    list(
      mean = ~ mean(.x, na.rm = TRUE),
      sd = ~ sd(.x, na.rm = TRUE)
    )
  )) %>%
  ungroup()


# Cant_average_zonal <- Cant_average %>% 
#   group_by(lat, depth, eras, basin) %>% 
#   summarise(Cant_mean_sd = sd(Cant_mean, na.rm = TRUE),
#             Cant_mean = mean(Cant_mean, na.rm = TRUE),
#             Cant_sd_mean = mean(Cant_sd, na.rm = TRUE),
#             Cant_pos_mean_sd = sd(Cant_pos_mean, na.rm = TRUE),
#             Cant_pos_mean = mean(Cant_pos_mean, na.rm = TRUE),
#             Cant_pos_sd_mean = mean(Cant_pos_sd, na.rm = TRUE),
#             gamma_mean = mean(gamma_mean)) %>% 
#   ungroup()


Cant_average_zonal_Atl <- Cant_average_zonal %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slab = cut(gamma_mean_mean, parameters$slabs_Atl))

Cant_average_zonal_Ind_Pac <- Cant_average_zonal %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slab = cut(gamma_mean_mean, parameters$slabs_Ind_Pac))

Cant_average_zonal <- bind_rows(Cant_average_zonal_Atl, Cant_average_zonal_Ind_Pac)

rm(Cant_average_zonal_Atl, Cant_average_zonal_Ind_Pac)

4.5 Mean Cant sections by coefficient

For each basin and era combination, the zonal mean Cant is calculated by model coefficient.

Cant_predictor_average <- full_join(Cant_predictor_average,
                                basinmask_AIP %>% select(-basin))

Cant_predictor_average_zonal <- Cant_predictor_average %>%
  group_by(lat, depth, eras, basin, basin_AIP) %>%
  summarise(across(
    Cant_intercept:gamma_mean,
    list(mean = ~ mean(.x, na.rm = TRUE))
  )) %>%
  ungroup()


# Cant_average_zonal <- Cant_average %>% 
#   group_by(lat, depth, eras, basin) %>% 
#   summarise(Cant_mean_sd = sd(Cant_mean, na.rm = TRUE),
#             Cant_mean = mean(Cant_mean, na.rm = TRUE),
#             Cant_sd_mean = mean(Cant_sd, na.rm = TRUE),
#             Cant_pos_mean_sd = sd(Cant_pos_mean, na.rm = TRUE),
#             Cant_pos_mean = mean(Cant_pos_mean, na.rm = TRUE),
#             Cant_pos_sd_mean = mean(Cant_pos_sd, na.rm = TRUE),
#             gamma_mean = mean(gamma_mean)) %>% 
#   ungroup()


Cant_predictor_average_zonal_Atl <- Cant_predictor_average_zonal %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slab = cut(gamma_mean_mean, parameters$slabs_Atl))

Cant_predictor_average_zonal_Ind_Pac <- Cant_predictor_average_zonal %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slab = cut(gamma_mean_mean, parameters$slabs_Ind_Pac))

Cant_predictor_average_zonal <- bind_rows(Cant_predictor_average_zonal_Atl, Cant_predictor_average_zonal_Ind_Pac)

rm(Cant_predictor_average_zonal_Atl, Cant_predictor_average_zonal_Ind_Pac)

4.6 Inventory calculation

To calculate Cant column inventories, we:

  1. Multiple layer thickness with Cant concentration to get a layer inventory
  2. For each horizontal grid cell and era, sum Cant layer inventories from 150 - 3000 m

Step 2 is performed again for all Cant and positive Cant values only

depth_level_volume <- tibble(depth = unique(Cant_average$depth))

depth_level_volume <- depth_level_volume %>%
  mutate(
    layer_thickness_above = replace_na((depth - lag(depth)) / 2, 0),
    layer_thickness_below = replace_na((lead(depth) - depth) / 2, 0),
    layer_thickness = layer_thickness_above + layer_thickness_below
  ) %>%
  select(-c(layer_thickness_above,
            layer_thickness_below))

Cant_average <-
  full_join(Cant_average, depth_level_volume)

Cant_average <- Cant_average %>%
  mutate(layer_inv = Cant_mean * layer_thickness) %>%
  mutate(layer_inv_pos = if_else(layer_inv < 0, 0, layer_inv)) %>%
  select(-layer_thickness)

Cant_inv <- Cant_average %>%
  filter(depth <= parameters$inventory_depth) %>%
  group_by(lon, lat, basin, eras) %>%
  summarise(
    cant_inv_pos = sum(layer_inv_pos, na.rm = TRUE) / 1000,
    cant_inv     = sum(layer_inv, na.rm = TRUE) / 1000
  ) %>%
  ungroup()

5 Write csv

# Cant %>%
#     write_csv(here::here("data/mapping/_summarized_files",
#                          "Cant.csv"))

Cant_average %>%
    write_csv(here::here("data/mapping/_summarized_files",
                         "Cant_average.csv"))

Cant_predictor_average %>%
    write_csv(here::here("data/mapping/_summarized_files",
                         "Cant_predictor_average.csv"))

Cant_average_zonal %>%
    write_csv(here::here("data/mapping/_summarized_files",
                         "Cant_average_zonal.csv"))

Cant_predictor_average_zonal %>%
    write_csv(here::here("data/mapping/_summarized_files",
                         "Cant_predictor_average_zonal.csv"))

Cant_inv %>%
    write_csv(here::here("data/mapping/_summarized_files",
                         "Cant_inv.csv"))

rm(Cant,
   Cant_average,
   Cant_predictor_average,
   Cant_average_zonal,
   Cant_predictor_average_zonal,
   Cant_inv)

sessionInfo()
R version 4.0.2 (2020-06-22)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)

Matrix products: default

locale:
[1] LC_COLLATE=English_Germany.1252  LC_CTYPE=English_Germany.1252   
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C                    
[5] LC_TIME=English_Germany.1252    

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

other attached packages:
 [1] metR_0.7.0      forcats_0.5.0   stringr_1.4.0   dplyr_1.0.0    
 [5] purrr_0.3.4     readr_1.3.1     tidyr_1.1.0     tibble_3.0.3   
 [9] ggplot2_3.3.2   tidyverse_1.3.0 workflowr_1.6.2

loaded via a namespace (and not attached):
 [1] tidyselect_1.1.0  xfun_0.16         haven_2.3.1       colorspace_1.4-1 
 [5] vctrs_0.3.2       generics_0.0.2    htmltools_0.5.0   yaml_2.2.1       
 [9] blob_1.2.1        rlang_0.4.7       later_1.1.0.1     pillar_1.4.6     
[13] withr_2.2.0       glue_1.4.1        DBI_1.1.0         dbplyr_1.4.4     
[17] modelr_0.1.8      readxl_1.3.1      lifecycle_0.2.0   munsell_0.5.0    
[21] gtable_0.3.0      cellranger_1.1.0  rvest_0.3.6       evaluate_0.14    
[25] knitr_1.29        httpuv_1.5.4      fansi_0.4.1       broom_0.7.0      
[29] Rcpp_1.0.5        checkmate_2.0.0   promises_1.1.1    backports_1.1.8  
[33] scales_1.1.1      jsonlite_1.7.0    fs_1.4.2          hms_0.5.3        
[37] digest_0.6.25     stringi_1.4.6     rprojroot_1.3-2   grid_4.0.2       
[41] here_0.1          cli_2.0.2         tools_4.0.2       magrittr_1.5     
[45] crayon_1.3.4      whisker_0.4       pkgconfig_2.0.3   ellipsis_0.3.1   
[49] data.table_1.13.0 xml2_1.3.2        reprex_0.3.0      lubridate_1.7.9  
[53] assertthat_0.2.1  rmarkdown_2.3     httr_1.4.2        rstudioapi_0.11  
[57] R6_2.4.1          git2r_0.27.1      compiler_4.0.2