Last updated: 2020-11-09

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Knit directory: Cant_eMLR/

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library(tidyverse)
library(patchwork)
library(scico)
library(scales)
library(metR)
library(kableExtra)
library(collapse)
library(marelac)
library(gt)

1 Data sources

1.1 This study

cant estimates from this study:

  • Mean and SD per grid cell (lat, lon, depth)
  • Zonal mean and SD (basin, lat, depth)
  • Inventories (lat, lon)
cant_3d <-
  read_csv(here::here("data/mapping/_summarized_files",
                         "cant_3d.csv"))

cant_3d <- cant_3d %>%
  filter(eras == "JGOFS_GO") %>%
  select(lon,
         lat,
         depth,
         basin_AIP,
         cant,
         cant_pos) %>%
  mutate(estimate = "JDM")


cant_zonal <-
  read_csv(here::here("data/mapping/_summarized_files",
                         "cant_zonal.csv"))

cant_zonal <- cant_zonal %>%
  filter(eras == "JGOFS_GO") %>%
  select(lat,
         depth,
         basin_AIP,
         cant_mean,
         cant_pos_mean,
         cant_sd,
         cant_pos_sd) %>%
  mutate(estimate = "JDM")


cant_inventory <-
  read_csv(here::here("data/mapping/_summarized_files",
                         "cant_inv.csv"))

cant_inventory <- cant_inventory %>% 
  rename(cant_pos_inv = cant_inv_pos)

cant_inventory <- cant_inventory %>% 
  filter(eras == "JGOFS_GO") %>% 
  select(-c(eras, basin)) %>% 
  mutate(estimate = "JDM")

1.2 Gruber 2019

cant_3d_G19 <- 
  read_csv(here::here("data/Gruber_2019/_summarized_files",
                       "G19_cant_3d.csv"))

cant_3d_G19 <- cant_3d_G19 %>% 
  mutate(estimate = "G19") %>% 
  select(-eras)


cant_inventory_G19 <- 
  read_csv(here::here("data/Gruber_2019/_summarized_files",
                       "G19_cant_inv.csv"))

cant_inventory_G19 <- cant_inventory_G19 %>% 
  select(-eras) %>% 
  mutate(estimate = "G19")


cant_zonal_G19 <- 
  read_csv(here::here("data/Gruber_2019/_summarized_files",
                       "G19_cant_zonal.csv"))

cant_zonal_G19 <- cant_zonal_G19 %>%
  filter(eras == "JGOFS_GO") %>%
  select(lat,
         depth,
         basin_AIP,
         cant_mean,
         cant_pos_mean,
         cant_sd,
         cant_pos_sd) %>%
  mutate(estimate = "G19")

1.3 Join data sets

cant_inventory <- bind_rows(cant_inventory, cant_inventory_G19)

2 Color scale

For ease of comparison with Gruber et al (2019) we adapt their color scale, including the ranges and breaks applied in various types of visualizations.

rgb2hex <- function(r, g, b)
  rgb(r, g, b, maxColorValue = 100)

cols = c(rgb2hex(95, 95, 95),
         rgb2hex(0, 0, 95),
         rgb2hex(100, 0, 0),
         rgb2hex(100, 100, 0))

Gruber_rainbow <- colorRampPalette(cols)

rm(rgb2hex, cols)

3 cant budgets

Global cant inventories were estimated in Pg-C. Please note that here we only added positive cant values in the upper 3000m and do not apply additional corrections for areas not covered.

cant_inventory_budget <- cant_inventory %>% 
  mutate(surface_area = earth_surf(lat, lon),
         cant_inv_grid = cant_inv*surface_area,
         cant_pos_inv_grid = cant_pos_inv*surface_area) %>% 
  group_by(basin_AIP, estimate) %>% 
  summarise(cant_total = sum(cant_inv_grid)*12*1e-15,
            cant_total = round(cant_total,1),
            cant_pos_total = sum(cant_pos_inv_grid)*12*1e-15,
            cant_pos_total = round(cant_pos_total,1)) %>% 
  ungroup()


cant_inventory_budget %>%
  gt(rowname_col = "basin_AIP",
     groupname_col = c("estimate")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
cant_total cant_pos_total
G19
Atlantic 10.8 11.0
Indian 5.6 6.9
Pacific 12.5 13.2
total 28.90 31.10
JDM
Atlantic 9.9 10.3
Indian 10.1 10.3
Pacific 17.5 18.1
total 37.50 38.70
# cant_inventory_budget %>% 
#   kableExtra::kable() %>% 
#   add_header_above() %>%
#   kable_styling(full_width = FALSE)

rm(cant_inventory_budget)

4 cant - positive

In a first series of plots we explore the distribution of cant, taking only positive estimates into account (positive here refers to the mean cant estimate across 10 eMLR model predictions available for each grid cell). Negative values were set to zero before calculating mean sections and inventories.

4.1 Zonal mean sections

cant_zonal <- bind_rows(
  cant_zonal,
  cant_zonal_G19
)

rm(cant_zonal_G19)

breaks <- c(seq(0,18,1),Inf)
breaks_n <- length(breaks) - 1

cant_zonal <- cant_zonal %>% 
  mutate(cant_pos_mean_int = cut(cant_pos_mean, 
                                breaks,
                                right = FALSE))


zonal_section <- function(df, i_basin_AIP, i_estimate, var) {
  
  name_var <- var
  var <- sym(var)
  
  lat_max <- max(df$lat)
  lat_min <- min(df$lat)
  
  df_sub <- df %>% 
    filter(basin_AIP == i_basin_AIP,
           estimate == i_estimate)
  
  surface <- df_sub %>%
    ggplot(aes(lat, depth, z = !!var)) +
    geom_contour_filled(breaks = breaks) +
    scale_fill_manual(values = Gruber_rainbow(breaks_n),
                      name = "cant") +
    coord_cartesian(expand = 0,
                    ylim = c(500, 0),
                    xlim = c(lat_min, lat_max)) +
    scale_y_reverse() +
    scale_x_continuous(breaks = seq(-100,100,20)) +
    theme(
      axis.title.x = element_blank(),
      axis.text.x = element_blank(),
      axis.ticks.x = element_blank()
    ) +
    labs(y = "Depth (m)",
         title = paste("Basin:", i_basin_AIP, "| estimate:", i_estimate))
  
  deep <- df_sub %>%
    ggplot(aes(lat, depth, z = !!var)) +
    geom_contour_filled(breaks = breaks) +
    scale_fill_manual(values = Gruber_rainbow(breaks_n),
                      name = "cant") +
    scale_y_reverse() +
    scale_x_continuous(breaks = seq(-100,100,20)) +
    coord_cartesian(expand = 0,
                    ylim = c(3000, 500),
                    xlim = c(lat_min, lat_max)) +
    labs(x = "latitude (°N)", y = "Depth (m)")
  
  surface / deep +
    plot_layout(guides = "collect")
  
}


for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_estimate in unique(cant_zonal$estimate)) {

  print(zonal_section(cant_zonal,
                        i_basin_AIP = i_basin_AIP,
                        i_estimate = i_estimate,
                        "cant_pos_mean"))
    
  }
}

rm(breaks, breaks_n)

4.2 Inventory map

Column inventory of positive cant between the surface and 3000m water depth per horizontal grid cell (lat x lon).

cant_inventory <- bind_rows(
  cant_inventory,
  cant_inventory_G19
)

rm(cant_inventory_G19)

breaks <- c(seq(0,16,2),Inf)
breaks_n <- length(breaks) - 1

cant_inventory <- cant_inventory %>% 
  mutate(cant_pos_inv_int = cut(cant_pos_inv, 
                                breaks,
                                right = FALSE))

cant_inventory %>%
  ggplot() +
  geom_raster(data = landmask,
              aes(lon, lat), fill = "grey30") +
  geom_raster(aes(lon, lat, fill = cant_pos_inv_int)) +
  coord_quickmap(expand = 0) +
  scale_fill_manual(values = Gruber_rainbow(breaks_n)) +
  # scale_fill_scico_d(palette = "batlow", direction = -1) +
  facet_wrap( ~ estimate, ncol = 1) +
  theme(axis.title = element_blank())

5 cant - all

In a first series of plots we explore the distribution of cant, taking only positive estimates into account (positive here refers to the mean cant estimate across 10 eMLR model predictions available for each grid cell). Negative values were set to zero before calculating mean sections and inventories.

5.1 Zonal mean sections

zonal_section <- function(df, i_basin_AIP, i_estimate, var) {
  
  # df <- cant_zonal
  # i_basin_AIP <- unique(cant_zonal$basin_AIP)[1]
  # i_estimate  <- unique(cant_zonal$estimate)[1]
  # var <- "cant_mean"
  
  name_var <- var
  var <- sym(var)
  
  lat_max <- max(df$lat)
  lat_min <- min(df$lat)
  
  df_sub <- df %>% 
    filter(basin_AIP == i_basin_AIP,
           estimate == i_estimate)
  
  surface <- df_sub %>%
    ggplot(aes(lat, depth, z = !!var)) +
    geom_contour_fill(breaks = MakeBreaks(5),
                      na.fill = TRUE) +
    scale_fill_divergent(guide = "colorstrip",
                         breaks = MakeBreaks(5),
                         name = name_var
                         ) +
    coord_cartesian(expand = 0,
                    ylim = c(500, 0),
                    xlim = c(lat_min, lat_max)) +
    scale_y_reverse() +
    scale_x_continuous(breaks = seq(-100,100,20)) +
    theme(
      axis.title.x = element_blank(),
      axis.text.x = element_blank(),
      axis.ticks.x = element_blank()
    ) +
    labs(y = "Depth (m)",
         title = paste("Basin:", i_basin_AIP, "| estimate:", i_estimate))
  
  deep <- df_sub %>%
    ggplot(aes(lat, depth, z = !!var)) +
    geom_contour_fill(breaks = MakeBreaks(5),
                      na.fill = TRUE) +
    scale_fill_divergent(guide = "colorstrip",
                         breaks = MakeBreaks(5),
                         name = name_var
                         ) +
    scale_y_reverse() +
    scale_x_continuous(breaks = seq(-100,100,20)) +
    coord_cartesian(expand = 0,
                    ylim = c(3000, 500),
                    xlim = c(lat_min, lat_max)) +
    labs(x = "latitude (°N)", y = "Depth (m)")
  
  surface / deep +
    plot_layout(guides = "collect")
  
}


for (i_basin_AIP in unique(cant_zonal$basin_AIP)) {
  for (i_estimate in unique(cant_zonal$estimate)) {

  print(zonal_section(cant_zonal,
                        i_basin_AIP = i_basin_AIP,
                        i_estimate = i_estimate,
                        "cant_mean"))
    
  }
}

rm(breaks, breaks_n)

5.2 Inventory map

Column inventory of positive cant between the surface and 3000m water depth per horizontal grid cell (lat x lon).

cant_inventory <- bind_rows(
  cant_inventory,
  cant_inventory_G19
)

rm(cant_inventory_G19)

breaks <- c(seq(0,16,2),Inf)
breaks_n <- length(breaks) - 1

cant_inventory <- cant_inventory %>% 
  mutate(cant_pos_inv_int = cut(cant_pos_inv, 
                                breaks,
                                right = FALSE))

cant_inventory %>%
  ggplot() +
  geom_raster(data = landmask,
              aes(lon, lat), fill = "grey30") +
  geom_raster(aes(lon, lat, fill = cant_pos_inv_int)) +
  coord_quickmap(expand = 0) +
  scale_fill_manual(values = Gruber_rainbow(breaks_n)) +
  # scale_fill_scico_d(palette = "batlow", direction = -1) +
  facet_wrap( ~ estimate, ncol = 1) +
  theme(axis.title = element_blank())

6 Known issues

Deviations between this study and the results by Gruber et al (2019), short G19, for the same period, might be attributable to following known differences in the implementation of the eMLR(C*) method:

  • GLODAPv2_2020 here vs an extended version of GLODAPv2 in G19
  • flagging: Here, we accept f flags 0 and 2 (except for tco2, where only 0 is accepted). G19 claim to use 0 throughout, yet have a high coverage of talk observations in the SE Pacific
  • Neutral density calculation: Here and in GLODAPv2_2020 a polynomial approximation is used, whereas G19 uses the original Matlab code
  • Predictor climatology: Here we used WOA18, whereas G19 used WOA13
  • Missing data in the GLODAP mapped climatology, eg NO3 at surface, where not filled in this study
  • cant on neutral density levels calculate as slab mean, rather than on one surface
  • Here, surface delta cant were calculated based on Luecker constants, rather than Mehrbach as in G19
  • Here, pCO2 was calculated from DIC/TA Climatology

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] gt_0.2.2         marelac_2.1.10   shape_1.4.4      collapse_1.3.2  
 [5] kableExtra_1.1.0 metR_0.7.0       scales_1.1.1     scico_1.2.0     
 [9] patchwork_1.0.1  forcats_0.5.0    stringr_1.4.0    dplyr_1.0.0     
[13] purrr_0.3.4      readr_1.3.1      tidyr_1.1.0      tibble_3.0.3    
[17] ggplot2_3.3.2    tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.4.2          lubridate_1.7.9   gsw_1.0-5         webshot_0.5.2    
 [5] httr_1.4.2        rprojroot_1.3-2   tools_4.0.2       backports_1.1.8  
 [9] R6_2.4.1          DBI_1.1.0         colorspace_1.4-1  sp_1.4-2         
[13] withr_2.2.0       tidyselect_1.1.0  compiler_4.0.2    git2r_0.27.1     
[17] cli_2.0.2         rvest_0.3.6       xml2_1.3.2        isoband_0.2.2    
[21] sandwich_2.5-1    labeling_0.3      sass_0.2.0        checkmate_2.0.0  
[25] digest_0.6.25     rmarkdown_2.3     oce_1.2-0         pkgconfig_2.0.3  
[29] htmltools_0.5.0   dbplyr_1.4.4      rlang_0.4.7       readxl_1.3.1     
[33] rstudioapi_0.11   farver_2.0.3      generics_0.0.2    zoo_1.8-8        
[37] jsonlite_1.7.0    magrittr_1.5      Formula_1.2-3     Matrix_1.2-18    
[41] Rcpp_1.0.5        munsell_0.5.0     fansi_0.4.1       lifecycle_0.2.0  
[45] stringi_1.4.6     whisker_0.4       yaml_2.2.1        plyr_1.8.6       
[49] grid_4.0.2        blob_1.2.1        parallel_4.0.2    promises_1.1.1   
[53] crayon_1.3.4      lattice_0.20-41   haven_2.3.1       hms_0.5.3        
[57] seacarb_3.2.13    knitr_1.30        pillar_1.4.6      reprex_0.3.0     
[61] glue_1.4.1        evaluate_0.14     data.table_1.13.0 modelr_0.1.8     
[65] vctrs_0.3.2       httpuv_1.5.4      testthat_2.3.2    cellranger_1.1.0 
[69] gtable_0.3.0      assertthat_0.2.1  xfun_0.16         xtable_1.8-4     
[73] broom_0.7.0       lfe_2.8-5.1       later_1.1.0.1     viridisLite_0.3.0
[77] memoise_1.1.0     ellipsis_0.3.1    here_0.1