Last updated: 2020-09-04

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Knit directory: Cant_eMLR/

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Rmd 6a302ca jens-daniel-mueller 2020-09-04 rebuild after new data cleaning and mapping Cant to surface
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Rmd a804955 jens-daniel-mueller 2020-08-24 split mapping into 2 rmds, po4star selection in parameters, use po4star nitrate

library(tidyverse)
library(metR)
# library(lubridate)
# library(oce)
# library(marelac)
# library(reticulate)
basinmask <- read_csv(here::here("data/World_Ocean_Atlas_2018/_summarized_files",
                                 "basin_mask_WOA18.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 Apply spatial boundaries

Only predictors were taken into consideration with:

  • minimum bottom depth: 500m
  • maximum latitude: 65°N

The minimum sampling depth of 150m was only taken into account when gamma is >= 26.

predictors <- predictors %>%
  filter(depth >= parameters$depth_min | gamma >= 26)

predictors <- predictors %>% 
  filter(lat <= parameters$lat_max)

predictors_grid <- predictors %>% 
  group_by(lat, lon) %>% 
  summarise(bottomdepth = max(depth)) %>% 
  ungroup()

predictors <- full_join(predictors, predictors_grid)

predictors <- predictors %>% 
  filter(bottomdepth >= parameters$bottomdepth_min) %>% 
  select(-bottomdepth)

predictors <- predictors %>% drop_na()

3 Load MLR models

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

4 Merge MLRs + climatologies

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

5 Map Cant

5.1 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)

5.2 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 <- 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(across(c("Cant", "Cant_pos", "gamma"),
#                    list(
#                      mean = ~ mean(.x, na.rm = TRUE),
#                      sd = ~ sd(.x, na.rm = TRUE)
#                    ))) %>%
#   ungroup()

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)

5.3 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 <- full_join(Cant_average,
                                basinmask %>% 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)

5.4 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()

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

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

7 Open tasks

8 Open questions


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