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path_functions      <- "/nfs/kryo/work/updata/emlr_cant/utilities/functions/"
path_files          <- "/nfs/kryo/work/updata/emlr_cant/utilities/files/"
path_preprocessing    <-
  "/nfs/kryo/work/updata/emlr_cant/observations/preprocessing/"

path_version_data     <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/data/",
    sep = ""
  )

path_version_figures  <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/figures/",
    sep = ""
  )

1 Libraries

Loading libraries specific to the the analysis performed in this section.

library(seacarb)

2 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(paste(path_version_data,
                 "W18_st_G16_opsn.csv",
                 sep = ""))

predictors_surface <-
  read_csv(paste(path_version_data,
                 "W18_st_G16_opsn_surface.csv",
                 sep = ""))

3 Atm. pCO2

co2_atm_tref <-
  read_csv(paste(path_version_data,
                 "co2_atm_tref.csv",
                 sep = ""))

4 Load MLR models

lm_all_wide <-
  read_csv(paste(path_version_data,
                 "lm_all_cant.csv",
                 sep = ""))

5 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)

6 Map cant

6.1 Deep water

6.2 Apply MLRs to predictor

cant <- b_cant(cant)

cant <- cant %>%
  mutate(cant_pos = if_else(cant < 0, 0, cant))
cant <- b_cant_predictor(cant)

6.2.1 Sections by model

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

if (params_local$plot_all_figures == "y") {

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)
    
    limits = max(abs(cant_eras_lon$cant)) * c(-1,1)
    
    cant_eras_lon %>%
      ggplot(aes(lat, depth, col = cant)) +
      geom_point() +
      scale_color_scico(
        name = "cant",
        palette = "vik",
        limit = limits
      ) +
      scale_y_reverse(limits = c(params_global$plotting_depth,NA)) +
      scale_x_continuous(limits = c(-75, 65)) +
      guides(fill = guide_colorsteps(barheight = unit(10, "cm"))) +
      labs(title = paste("eras:", i_eras,
                         "| lon:", i_lon,
                         "|", params_local$Version_ID)) +
      facet_wrap( ~ model, ncol = 5)
    
    ggsave(
      paste(
        path_version_figures,
        "Cant_model_sections/",
        paste(i_eras,
              "lon",
              i_lon,
              "model_cant.png",
              sep = "_"),
        sep = ""
      ),
      width = 17,
      height = 9
    )
    
  }
}
}

6.3 Surface water

As outlined in Gruber et al. (2019), a transient equilibrium approach was applied to estimate cant in surface waters, assuming that the CO2 system in these waters has followed the increase in atmospheric CO2 closely.

Using eq 10.2.16 from OBD, the change in anthropogenic CO2 in the upper ocean was computed as:

tCant,eq(t2,ref − t1,ref) = 1∕γ ⋅ DIC/pCO2 ⋅ (pCO2atm (t2ref)− pCO2atm (t1ref))

, where DIC and pCO2 are the in situ values, where γ is the buffer (Revelle) factor and where we evaluated the right-hand side using seacarb employing the Mehrbach constants as refitted by Dickson and Millero using the climatological values for temperature, salinity, DIC and Alk.

6.3.1 pCO2 climatology

# calculate pCO2 from talk and tco2 climatology
predictors_surface <- predictors_surface %>% 
  mutate(pCO2 = carb(flag = 15,
                     var1 = TAlk*1e-6,
                     var2 = TCO2*1e-6,
                     S = sal,
                     T = tem,
                     P = depth/10,
                     Pt = phosphate*1e-6,
                     Sit = silicate*1e-6,
                     k1k2 = "l")$pCO2)
p_map_climatology(
  df = predictors_surface,
  var = "pCO2")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
p_section_climatology_regular(
  df = predictors_surface,
  var = "pCO2")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30

6.3.2 Revelle factor

predictors_surface <- predictors_surface %>% 
  mutate(rev_fac = buffer(flag = 15,
                     var1 = TAlk*1e-6,
                     var2 = TCO2*1e-6,
                     S = sal,
                     T = tem,
                     P = depth/10,
                     Pt = phosphate*1e-6,
                     Sit = silicate*1e-6,
                     k1k2 = "l")$BetaD)
p_map_climatology(
  df = predictors_surface,
  var = "rev_fac")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
p_section_climatology_regular(
  df = predictors_surface,
  var = "rev_fac")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30

6.3.3 Cant

# # calculate increase in atm pCO2 between eras
# co2_atm_tref <- co2_atm_tref %>% 
#   arrange(pCO2_tref) %>% 
#   mutate(d_pCO2_tref = pCO2_tref - lag(pCO2_tref)) %>% 
#   drop_na() %>% 
#   mutate(eras = c("JGOFS_GO", "GO_new")) %>% 
#   select(eras, d_pCO2_tref)

# calculate increase in atm pCO2 between eras
co2_atm_tref <- co2_atm_tref %>% 
  arrange(pCO2_tref) %>% 
  mutate(d_pCO2_tref = pCO2_tref - lag(pCO2_tref),
         eras = paste(lag(era), era, sep = " --> ")) %>% 
  drop_na() %>% 
  select(eras, d_pCO2_tref)

cant_surface <- full_join(predictors_surface, co2_atm_tref,
                          by = character())

# calculate cant
cant_surface <- cant_surface %>% 
  mutate(cant = (1 / rev_fac) * (TCO2 / pCO2) * d_pCO2_tref)

# calculate positive cant
cant_surface <- cant_surface %>%
  mutate(cant_pos = if_else(cant < 0, 0, cant))
p_map_climatology(
  df = cant_surface,
  var = "cant")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
0ff728b jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
p_section_climatology_regular(
  df = cant_surface,
  var = "cant")

Version Author Date
22d0127 jens-daniel-mueller 2020-12-01
0ff728b jens-daniel-mueller 2020-12-01
f8f449c jens-daniel-mueller 2020-12-01
cf19652 jens-daniel-mueller 2020-11-30
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30

6.4 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.

6.4.1 Deep water averaging

cant_predictor_average <- m_cant_predictor_model_average(cant)
cant_predictor_average <- m_cut_gamma(cant_predictor_average, "gamma")
cant_average <- m_cant_model_average(cant)
rm(cant)

6.4.2 Surface water averaging

cant_surface_average <- m_cant_model_average(cant_surface)
rm(cant_surface)

6.4.3 Join surface and deep water

cant_average <- full_join(cant_average, cant_surface_average)
rm(cant_surface_average)

cant_average <- m_cut_gamma(cant_average, "gamma")

6.5 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 %>% select(-basin))

cant_average_zonal <- m_cant_zonal_mean(cant_average)
cant_average_zonal <- m_cut_gamma(cant_average_zonal, "gamma_mean")

6.6 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 %>% select(-basin))

cant_predictor_average_zonal <-
  m_cant_predictor_zonal_mean(cant_predictor_average)

cant_predictor_average_zonal <-
  m_cut_gamma(cant_predictor_average_zonal, "gamma")

6.7 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

cant_inv <- m_cant_inv(cant_average)

7 Write csv

cant_average %>%
  write_csv(paste(path_version_data,
                  "cant_3d.csv", sep = ""))

cant_predictor_average %>%
  write_csv(paste(path_version_data,
                  "cant_predictor_3d.csv", sep = ""))

cant_average_zonal %>%
  write_csv(paste(path_version_data,
                  "cant_zonal.csv", sep = ""))

cant_predictor_average_zonal %>%
  write_csv(paste(path_version_data,
                  "cant_predictor_zonal.csv", sep = ""))

cant_inv %>%
  write_csv(paste(path_version_data,
                  "cant_inv.csv", sep = ""))

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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] seacarb_3.2.14  oce_1.2-0       gsw_1.0-5       testthat_3.0.0 
 [5] metR_0.9.0      scico_1.2.0     patchwork_1.1.0 collapse_1.4.2 
 [9] forcats_0.5.0   stringr_1.4.0   dplyr_1.0.2     purrr_0.3.4    
[13] readr_1.4.0     tidyr_1.1.2     tibble_3.0.4    ggplot2_3.3.2  
[17] tidyverse_1.3.0 workflowr_1.6.2

loaded via a namespace (and not attached):
 [1] httr_1.4.2               jsonlite_1.7.1           viridisLite_0.3.0       
 [4] here_0.1                 modelr_0.1.8             assertthat_0.2.1        
 [7] blob_1.2.1               cellranger_1.1.0         yaml_2.2.1              
[10] pillar_1.4.7             backports_1.1.10         lattice_0.20-41         
[13] glue_1.4.2               RcppEigen_0.3.3.7.0      digest_0.6.27           
[16] promises_1.1.1           checkmate_2.0.0          rvest_0.3.6             
[19] colorspace_2.0-0         htmltools_0.5.0          httpuv_1.5.4            
[22] Matrix_1.2-18            pkgconfig_2.0.3          broom_0.7.2             
[25] haven_2.3.1              scales_1.1.1             whisker_0.4             
[28] later_1.1.0.1            git2r_0.27.1             farver_2.0.3            
[31] generics_0.0.2           ellipsis_0.3.1           withr_2.3.0             
[34] cli_2.2.0                magrittr_2.0.1           crayon_1.3.4            
[37] readxl_1.3.1             evaluate_0.14            fs_1.5.0                
[40] fansi_0.4.1              xml2_1.3.2               RcppArmadillo_0.10.1.2.0
[43] tools_4.0.3              data.table_1.13.2        hms_0.5.3               
[46] lifecycle_0.2.0          munsell_0.5.0            reprex_0.3.0            
[49] isoband_0.2.2            compiler_4.0.3           rlang_0.4.9             
[52] grid_4.0.3               rstudioapi_0.13          labeling_0.4.2          
[55] rmarkdown_2.5            gtable_0.3.0             DBI_1.1.0               
[58] R6_2.5.0                 lubridate_1.7.9          knitr_1.30              
[61] rprojroot_2.0.2          stringi_1.5.3            parallel_4.0.3          
[64] Rcpp_1.0.5               vctrs_0.3.5              dbplyr_1.4.4            
[67] tidyselect_1.1.0         xfun_0.18