Display glacier area and thickness changes on a grid

from oggm import cfg
from oggm import tasks, utils, workflow, graphics, DEFAULT_BASE_URL
import xarray as xr
import matplotlib.pyplot as plt

This notebook proposes a method for redistributing glacier ice that has been simulated along the flowline after a glacier retreat simulation. Extrapolating the glacier ice onto a map involves certain assumptions and trade-offs. Depending on the purpose, different choices may be preferred. For example, higher resolution may be desired for visualization compared to using the output for a hydrological model. It is possible to add different options to the final function to allow users to select the option that best suits their needs.

This notebook demonstrates the redistribution process using a single glacier. Its purpose is to initiate further discussion before incorporating it into the main OGGM code base (currently, it is in the sandbox).

Pick a glacier

# Initialize OGGM and set up the default run parameters
cfg.initialize(logging_level='WARNING')

# Local working directory (where OGGM will write its output)
# WORKING_DIR = utils.gettempdir('OGGM_distr4')
cfg.PATHS['working_dir'] = utils.get_temp_dir('OGGM_distributed', reset=True)

2023-08-27 21:24:09: oggm.cfg: Reading default parameters from the OGGM `params.cfg` configuration file.
2023-08-27 21:24:09: oggm.cfg: Multiprocessing switched OFF according to the parameter file.
2023-08-27 21:24:09: oggm.cfg: Multiprocessing: using all available processors (N=2)

rgi_ids = ['RGI60-11.01450']  # This is Aletsch
gdir = workflow.init_glacier_directories(rgi_ids, prepro_base_url=DEFAULT_BASE_URL, from_prepro_level=4, prepro_border=80)[0]

2023-08-27 21:24:10: oggm.workflow: init_glacier_directories from prepro level 4 on 1 glaciers.
2023-08-27 21:24:10: oggm.workflow: Execute entity tasks [gdir_from_prepro] on 1 glaciers

Experiment: a random warming simulation

Here we use a random climate, but you can use any GCM, as long as glaciers are getting smaller, not bigger!

# Do a random run with a bit of warming
tasks.run_random_climate(gdir, 
                         ys=2020, ye=2100,  # Although the simulation is idealised, lets use real dates for the animation
                         y0=2009, halfsize=10,  # Randome climate of 1999-2019
                         seed=1,  # Random number generator seed 
                         temperature_bias=1.5,  # additional warming - change for other scenarios
                         store_fl_diagnostics=True,  # important! This will be needed for the redistribution
                         init_model_filesuffix='_spinup_historical',  # start from the spinup run
                         output_filesuffix='_random_s1',  # optional - here I just want to make things explicit as to which run we are using afterwards
                        );

Redistribute: preprocessing

The required tasks can be found in the distribute_2d module of the sandbox:

from oggm.sandbox import distribute_2d

# This is to add a new topography to the file (smoothed differently)
distribute_2d.add_smoothed_glacier_topo(gdir)
# This is to get the bed map at the start of the simulation
tasks.distribute_thickness_per_altitude(gdir)
# This is to prepare the glacier directory for the interpolation (needs to be done only once)
distribute_2d.assign_points_to_band(gdir)

Let’s have a look at what we just did:

with xr.open_dataset(gdir.get_filepath('gridded_data')) as ds:
    ds = ds.load()

# Inititial glacier thickness
f, ax = plt.subplots()
ds.distributed_thickness.plot(ax=ax);
ax.axis('equal');

# Which points belongs to which band, and then within one band which are the first to melt
f, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))
ds.band_index.plot(ax=ax1);
ds.rank_per_band.plot(ax=ax2);
ax1.axis('equal'); ax2.axis('equal'); plt.tight_layout();

Redistribute simulation

The tasks above need to be run only once. The next one however should be done for each simulation:

ds = distribute_2d.distribute_thickness_from_simulation(gdir, 
                                                        input_filesuffix='_random_s1',  # Use the simulation we just did
                                                        concat_input_filesuffix='_spinup_historical',  # Concatenate with the historical spinup
                                                        )

Plot

Let’s have a look!

# # This below is only to open the file again later if needed
# with xr.open_dataset(gdir.get_filepath('gridded_simulation', filesuffix='_random_s1')) as ds:
#     ds = ds.load()

f, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(14, 4))
ds.distributed_thickness.sel(time=2000).plot(ax=ax1, vmax=400);
ds.distributed_thickness.sel(time=2050).plot(ax=ax2, vmax=400);
ds.distributed_thickness.sel(time=2100).plot(ax=ax3, vmax=400);
ax1.axis('equal'); ax2.axis('equal'); plt.tight_layout();

Note: the simulation before the RGI date cannot be trusted - it is the result of the dynamical spinup. Furthermore, if the area is larger than the RGI glacier, the redistribution algorithm will put all mass in the glacier mask, which is not what we want:

area = (ds.distributed_thickness > 0).sum(dim=['x', 'y']) * gdir.grid.dx**2 * 1e-6
area.plot(label='Distributed area');
plt.hlines(gdir.rgi_area_km2, gdir.rgi_date, 2100, color='C3', linestyles='--', label='RGI Area');
plt.legend(loc='lower left'); plt.ylabel('Area [km2]');

Volume however is conserved:

vol = ds.distributed_thickness.sum(dim=['x', 'y']) * gdir.grid.dx**2 * 1e-9
vol.plot(label='Distributed volume'); plt.ylabel('Distributed volume [km3]');

Therefore, lets just keep all data after the RGI year only:

ds = ds.sel(time=slice(gdir.rgi_date, None))

Animation!

from matplotlib import animation
from IPython.display import HTML, display

# Get a handle on the figure and the axes
fig, ax = plt.subplots()

thk = ds['distributed_thickness']

# Plot the initial frame. 
cax = thk.isel(time=0).plot(ax=ax,
    add_colorbar=True,
    cmap='viridis',
    vmin=0, vmax=350,
    cbar_kwargs={
        'extend':'neither'
    }
)
ax.axis('equal')

def animate(frame):
    ax.set_title(f'Year {int(thk.time[frame])}')
    cax.set_array(thk.values[frame, :].flatten())

ani_glacier = animation.FuncAnimation(fig, animate, frames=len(thk.time), interval=100);

HTML(ani_glacier.to_jshtml())

Once Loop Reflect