Beispiel #1
0
    def test_run(self):

        entity = gpd.read_file(self.rgi_file).iloc[0]

        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        gis.define_glacier_region(gdir)
        gis.glacier_masks(gdir)
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.compute_downstream_line(gdir)
        centerlines.compute_downstream_bedshape(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # Climate tasks -- only data IO and tstar interpolation!
        tasks.process_dummy_cru_file(gdir, seed=0)
        tasks.local_t_star(gdir)
        tasks.mu_star_calibration(gdir)

        # Inversion tasks
        tasks.find_inversion_calving(gdir)

        # Final preparation for the run
        tasks.init_present_time_glacier(gdir)

        # check that calving happens in the real context as well
        tasks.run_constant_climate(gdir,
                                   bias=0,
                                   nyears=200,
                                   temperature_bias=-0.5)
        with xr.open_dataset(gdir.get_filepath('model_diagnostics')) as ds:
            assert ds.calving_m3[-1] > 10
Beispiel #2
0
def init_columbia(reset=False):

    from oggm.core import gis, climate, centerlines
    import geopandas as gpd

    # test directory
    testdir = os.path.join(get_test_dir(), 'tmp_columbia')
    if not os.path.exists(testdir):
        os.makedirs(testdir)
        reset = True

    # Init
    cfg.initialize()
    cfg.PATHS['working_dir'] = testdir
    cfg.PARAMS['use_intersects'] = False
    cfg.PATHS['dem_file'] = get_demo_file('dem_Columbia.tif')
    cfg.PARAMS['border'] = 10

    entity = gpd.read_file(get_demo_file('01_rgi60_Columbia.shp')).iloc[0]
    gdir = oggm.GlacierDirectory(entity, reset=reset)
    if gdir.has_file('climate_historical'):
        return gdir

    gis.define_glacier_region(gdir)
    gis.glacier_masks(gdir)
    centerlines.compute_centerlines(gdir)
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)
    tasks.process_dummy_cru_file(gdir, seed=0)
    return gdir
Beispiel #3
0
    def _set_up_VAS_model(self):
        """Avoiding a chunk of code duplicate. Set's up a running volume/area
        scaling model, including all needed prepo tasks.
        """

        # read the Hintereisferner DEM
        hef_file = get_demo_file('Hintereisferner_RGI5.shp')
        entity = gpd.read_file(hef_file).iloc[0]

        # initialize the GlacierDirectory
        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        # define the local grid and glacier mask
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)

        # process the given climate file
        climate.process_custom_climate_data(gdir)

        # run center line preprocessing tasks
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # read reference glacier mass balance data
        mbdf = gdir.get_ref_mb_data()
        # compute the reference t* for the glacier
        # given the reference of mass balance measurements
        res = climate.t_star_from_refmb(gdir, mbdf=mbdf['ANNUAL_BALANCE'])
        t_star, bias = res['t_star'], res['bias']

        # --------------------
        #  MASS BALANCE TASKS
        # --------------------

        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir, tstar=t_star, bias=bias)

        # instance the mass balance models
        mbmod = vascaling.VAScalingMassBalance(gdir)

        # ----------------
        #  DYNAMICAL PART
        # ----------------
        # get reference area
        a0 = gdir.rgi_area_m2
        # get reference year
        y0 = gdir.read_pickle('climate_info')['baseline_hydro_yr_0']
        # get min and max glacier surface elevation
        h0, h1 = vascaling.get_min_max_elevation(gdir)

        model = vascaling.VAScalingModel(year_0=y0,
                                         area_m2_0=a0,
                                         min_hgt=h0,
                                         max_hgt=h1,
                                         mb_model=mbmod)
        return gdir, model
Beispiel #4
0
    def test_local_t_star(self):

        # set parameters for climate file and mass balance calibration
        cfg.PARAMS['baseline_climate'] = 'CUSTOM'
        cfg.PARAMS['baseline_y0'] = 1850
        cfg.PATHS['climate_file'] = get_demo_file('histalp_merged_hef.nc')
        cfg.PARAMS['run_mb_calibration'] = False

        # read the Hintereisferner
        hef_file = get_demo_file('Hintereisferner_RGI5.shp')
        entity = gpd.read_file(hef_file).iloc[0]

        # initialize the GlacierDirectory
        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        # define the local grid and the glacier mask
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)
        # run centerline prepro tasks
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)
        # process the given climate file
        climate.process_custom_climate_data(gdir)

        # compute the reference t* for the glacier
        # given the reference of mass balance measurements
        res = vascaling.t_star_from_refmb(gdir)
        t_star, bias = res['t_star'], res['bias']
        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir, tstar=t_star, bias=bias)
        # read calibration results
        vas_mustar_refmb = gdir.read_json('vascaling_mustar')

        # get reference t* list
        ref_df = cfg.PARAMS['vas_ref_tstars_rgi5_histalp']
        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir, ref_df=ref_df)
        # read calibration results
        vas_mustar_refdf = gdir.read_json('vascaling_mustar')

        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir)
        # read calibration results
        vas_mustar = gdir.read_json('vascaling_mustar')

        # compare with each other
        assert vas_mustar_refdf == vas_mustar
        # TODO: this test is failing currently
        # np.testing.assert_allclose(vas_mustar_refmb['bias'],
        #                            vas_mustar_refdf['bias'], atol=1)
        vas_mustar_refdf.pop('bias')
        vas_mustar_refmb.pop('bias')
        # end of workaround
        assert vas_mustar_refdf == vas_mustar_refmb
Beispiel #5
0
def test_coxe():

    testdir = os.path.join(get_test_dir(), 'tmp_coxe')
    utils.mkdir(testdir, reset=True)

    # Init
    cfg.initialize()
    cfg.PARAMS['use_intersects'] = False
    cfg.PATHS['dem_file'] = get_demo_file('dem_RGI50-01.10299.tif')
    cfg.PARAMS['border'] = 40
    cfg.PARAMS['clip_tidewater_border'] = False
    cfg.PARAMS['use_multiple_flowlines'] = False
    cfg.PARAMS['use_kcalving_for_inversion'] = True
    cfg.PARAMS['use_kcalving_for_run'] = True
    cfg.PARAMS['trapezoid_lambdas'] = 1

    hef_file = get_demo_file('rgi_RGI50-01.10299.shp')
    entity = gpd.read_file(hef_file).iloc[0]

    gdir = oggm.GlacierDirectory(entity, base_dir=testdir, reset=True)
    gis.define_glacier_region(gdir)
    gis.glacier_masks(gdir)
    centerlines.compute_centerlines(gdir)
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.compute_downstream_bedshape(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)
    climate.apparent_mb_from_linear_mb(gdir)
    inversion.prepare_for_inversion(gdir)
    inversion.mass_conservation_inversion(gdir)
    inversion.filter_inversion_output(gdir)

    flowline.init_present_time_glacier(gdir)

    fls = gdir.read_pickle('model_flowlines')

    p = gdir.read_pickle('linear_mb_params')
    mb_mod = massbalance.LinearMassBalance(ela_h=p['ela_h'], grad=p['grad'])
    mb_mod.temp_bias = -0.3
    model = flowline.FluxBasedModel(fls,
                                    mb_model=mb_mod,
                                    y0=0,
                                    inplace=True,
                                    is_tidewater=True)

    # run
    model.run_until(200)
    assert model.calving_m3_since_y0 > 0

    fig, ax = plt.subplots()
    graphics.plot_modeloutput_map(gdir, ax=ax, model=model)
    fig.tight_layout()
    shutil.rmtree(testdir)
    return fig
Beispiel #6
0
    def test_set_width(self):
        entity = gpd.read_file(self.rgi_file).iloc[0]

        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        gis.define_glacier_region(gdir)
        gis.glacier_masks(gdir)
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.compute_downstream_line(gdir)
        centerlines.compute_downstream_bedshape(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # Test that area and area-altitude elev is fine
        with utils.ncDataset(gdir.get_filepath('gridded_data')) as nc:
            mask = nc.variables['glacier_mask'][:]
            topo = nc.variables['topo_smoothed'][:]
        rhgt = topo[np.where(mask)][:]

        fls = gdir.read_pickle('inversion_flowlines')
        hgt, widths = gdir.get_inversion_flowline_hw()

        bs = 100
        bins = np.arange(utils.nicenumber(np.min(hgt), bs, lower=True),
                         utils.nicenumber(np.max(hgt), bs) + 1,
                         bs)
        h1, b = np.histogram(hgt, weights=widths, density=True, bins=bins)
        h2, b = np.histogram(rhgt, density=True, bins=bins)
        h1 = h1 / np.sum(h1)
        h2 = h2 / np.sum(h2)
        assert utils.rmsd(h1, h2) < 0.02  # less than 2% error
        new_area = np.sum(widths * fls[-1].dx * gdir.grid.dx)
        np.testing.assert_allclose(new_area, gdir.rgi_area_m2)

        centerlines.terminus_width_correction(gdir, new_width=714)

        fls = gdir.read_pickle('inversion_flowlines')
        hgt, widths = gdir.get_inversion_flowline_hw()

        # Check that the width is ok
        np.testing.assert_allclose(fls[-1].widths[-1] * gdir.grid.dx, 714)

        # Check for area distrib
        bins = np.arange(utils.nicenumber(np.min(hgt), bs, lower=True),
                         utils.nicenumber(np.max(hgt), bs) + 1,
                         bs)
        h1, b = np.histogram(hgt, weights=widths, density=True, bins=bins)
        h2, b = np.histogram(rhgt, density=True, bins=bins)
        h1 = h1 / np.sum(h1)
        h2 = h2 / np.sum(h2)
        assert utils.rmsd(h1, h2) < 0.02  # less than 2% error
        new_area = np.sum(widths * fls[-1].dx * gdir.grid.dx)
        np.testing.assert_allclose(new_area, gdir.rgi_area_m2)
Beispiel #7
0
    def test_set_width(self):
        entity = gpd.read_file(self.rgi_file).iloc[0]

        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.compute_downstream_line(gdir)
        centerlines.compute_downstream_bedshape(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # Test that area and area-altitude elev is fine
        with utils.ncDataset(gdir.get_filepath('gridded_data')) as nc:
            mask = nc.variables['glacier_mask'][:]
            topo = nc.variables['topo_smoothed'][:]
        rhgt = topo[np.where(mask)][:]

        fls = gdir.read_pickle('inversion_flowlines')
        hgt, widths = gdir.get_inversion_flowline_hw()

        bs = 100
        bins = np.arange(utils.nicenumber(np.min(hgt), bs, lower=True),
                         utils.nicenumber(np.max(hgt), bs) + 1,
                         bs)
        h1, b = np.histogram(hgt, weights=widths, density=True, bins=bins)
        h2, b = np.histogram(rhgt, density=True, bins=bins)
        h1 = h1 / np.sum(h1)
        h2 = h2 / np.sum(h2)
        assert utils.rmsd(h1, h2) < 0.02  # less than 2% error
        new_area = np.sum(widths * fls[-1].dx * gdir.grid.dx)
        np.testing.assert_allclose(new_area, gdir.rgi_area_m2)

        centerlines.terminus_width_correction(gdir, new_width=714)

        fls = gdir.read_pickle('inversion_flowlines')
        hgt, widths = gdir.get_inversion_flowline_hw()

        # Check that the width is ok
        np.testing.assert_allclose(fls[-1].widths[-1] * gdir.grid.dx, 714)

        # Check for area distrib
        bins = np.arange(utils.nicenumber(np.min(hgt), bs, lower=True),
                         utils.nicenumber(np.max(hgt), bs) + 1,
                         bs)
        h1, b = np.histogram(hgt, weights=widths, density=True, bins=bins)
        h2, b = np.histogram(rhgt, density=True, bins=bins)
        h1 = h1 / np.sum(h1)
        h2 = h2 / np.sum(h2)
        assert utils.rmsd(h1, h2) < 0.02  # less than 2% error
        new_area = np.sum(widths * fls[-1].dx * gdir.grid.dx)
        np.testing.assert_allclose(new_area, gdir.rgi_area_m2)
Beispiel #8
0
    def _setup_mb_test(self):
        """Avoiding a chunk of code duplicate. Performs needed prepo tasks and
        returns the oggm.GlacierDirectory.
        """

        # read the Hintereisferner DEM
        hef_file = get_demo_file('Hintereisferner_RGI5.shp')
        entity = gpd.read_file(hef_file).iloc[0]
        # initialize the GlacierDirectory
        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        # define the local grid and the glacier mask
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)

        # process the given climate file
        climate.process_custom_climate_data(gdir)

        # run centerline prepro tasks
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # read reference glacier mass balance data
        mbdf = gdir.get_ref_mb_data()
        # compute the reference t* for the glacier
        # given the reference of mass balance measurements
        res = vascaling.t_star_from_refmb(gdir, mbdf=mbdf['ANNUAL_BALANCE'])
        t_star, bias = res['t_star'], res['bias']

        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir, tstar=t_star, bias=bias)

        # run OGGM mu* calibration
        climate.local_t_star(gdir, tstar=t_star, bias=bias)
        climate.mu_star_calibration(gdir)

        # pass the GlacierDirectory
        return gdir
Beispiel #9
0
def apparent_mb(gdir):
    """Compute the apparent mb from the calibrated mustar.

    Parameters
    ----------
    """

    # Calibrated data
    df = pd.read_csv(gdir.get_filepath('local_mustar')).iloc[0]
    tstar = df['t_star']
    prcp_fac = df['prcp_fac']
    mu_star = df['mu_star']
    bias = df['bias']

    # Climate period
    mu_hp = int(cfg.PARAMS['mu_star_halfperiod'])
    yr = [tstar - mu_hp, tstar + mu_hp]

    # Do we have a calving glacier?
    cmb = calving_mb(gdir)

    # For each flowline compute the apparent MB
    fls = gdir.read_pickle('inversion_flowlines')

    # Reset flux
    for fl in fls:
        fl.flux = np.zeros(len(fl.surface_h))

    # Flowlines in order to be sure
    for fl in fls:
        y, t, p = mb_yearly_climate_on_height(gdir,
                                              fl.surface_h,
                                              prcp_fac,
                                              year_range=yr,
                                              flatten=False)
        fl.set_apparent_mb(np.mean(p, axis=1) - mu_star * np.mean(t, axis=1))

    # Sometimes, low lying tributaries have a non-physically consistent
    # Mass-balance. We should remove these, and start all over again until
    # all tributaries are consistent
    do_filter = [fl.flux_needed_correction for fl in fls]
    if cfg.PARAMS['filter_for_neg_flux'] and np.any(do_filter):
        assert not do_filter[-1]  # This should not happen
        # Keep only the good lines
        heads = [fl.orig_head for fl in fls if not fl.flux_needed_correction]
        centerlines.compute_centerlines(gdir, heads=heads, reset=True)
        centerlines.initialize_flowlines(gdir, reset=True)
        if gdir.has_file('downstream_line'):
            centerlines.compute_downstream_line(gdir, reset=True)
            centerlines.compute_downstream_bedshape(gdir, reset=True)
        centerlines.catchment_area(gdir, reset=True)
        centerlines.catchment_intersections(gdir, reset=True)
        centerlines.catchment_width_geom(gdir, reset=True)
        centerlines.catchment_width_correction(gdir, reset=True)
        local_mustar(gdir,
                     tstar=tstar,
                     bias=bias,
                     prcp_fac=prcp_fac,
                     reset=True)
        # Ok, re-call ourselves
        return apparent_mb(gdir, reset=True)

    # Check and write
    aflux = fls[-1].flux[-1] * 1e-9 / cfg.RHO * gdir.grid.dx**2
    # If not marine and a bit far from zero, warning
    if cmb == 0 and not np.allclose(fls[-1].flux[-1], 0., atol=0.01):
        log.warning('(%s) flux should be zero, but is: '
                    '%.4f km3 ice yr-1', gdir.rgi_id, aflux)
    # If not marine and quite far from zero, error
    if cmb == 0 and not np.allclose(fls[-1].flux[-1], 0., atol=1):
        msg = ('({}) flux should be zero, but is: {:.4f} km3 ice yr-1'.format(
            gdir.rgi_id, aflux))
        raise RuntimeError(msg)
    gdir.write_pickle(fls, 'inversion_flowlines')
Beispiel #10
0
    def test_run_until_and_store(self):
        """Test the volume/area scaling model against the oggm.FluxBasedModel.

        Both models run the Hintereisferner over the entire HistAlp climate
        period, initialized with the 2003 RGI outline without spin up.

        The following two parameters for length, area and volume are tested:
            - correlation coefficient
            - relative RMSE, i.e. RMSE/mean(OGGM). Whereby the results from the
                VAS model are offset with the average differences to the OGGM
                results.
       """

        # read the Hintereisferner DEM
        hef_file = get_demo_file('Hintereisferner_RGI5.shp')
        entity = gpd.read_file(hef_file).iloc[0]

        # initialize the GlacierDirectory
        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        # define the local grid and glacier mask
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)

        # process the given climate file
        climate.process_custom_climate_data(gdir)

        # run center line preprocessing tasks
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.compute_downstream_line(gdir)
        centerlines.compute_downstream_bedshape(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)

        # read reference glacier mass balance data
        mbdf = gdir.get_ref_mb_data()
        # compute the reference t* for the glacier
        # given the reference of mass balance measurements
        res = climate.t_star_from_refmb(gdir, mbdf=mbdf['ANNUAL_BALANCE'])
        t_star, bias = res['t_star'], res['bias']

        # --------------------
        #  SCALING MODEL
        # --------------------

        # compute local t* and the corresponding mu*
        vascaling.local_t_star(gdir, tstar=t_star, bias=bias)

        # instance the mass balance models
        vas_mbmod = vascaling.VAScalingMassBalance(gdir)

        # get reference area
        a0 = gdir.rgi_area_m2
        # get reference year
        y0 = gdir.read_json('climate_info')['baseline_hydro_yr_0']
        # get min and max glacier surface elevation
        h0, h1 = vascaling.get_min_max_elevation(gdir)

        vas_model = vascaling.VAScalingModel(year_0=y0, area_m2_0=a0,
                                             min_hgt=h0, max_hgt=h1,
                                             mb_model=vas_mbmod)

        # let model run over entire HistAlp climate period
        vas_ds = vas_model.run_until_and_store(2003)

        # ------
        #  OGGM
        # ------

        # compute local t* and the corresponding mu*
        climate.local_t_star(gdir, tstar=t_star, bias=bias)
        climate.mu_star_calibration(gdir)

        # instance the mass balance models
        mb_mod = massbalance.PastMassBalance(gdir)

        # perform ice thickness inversion
        inversion.prepare_for_inversion(gdir)
        inversion.mass_conservation_inversion(gdir)
        inversion.filter_inversion_output(gdir)

        # initialize present time glacier
        flowline.init_present_time_glacier(gdir)

        # instance flowline model
        fls = gdir.read_pickle('model_flowlines')
        y0 = gdir.read_json('climate_info')['baseline_hydro_yr_0']
        fl_mod = flowline.FluxBasedModel(flowlines=fls, mb_model=mb_mod, y0=y0)

        # run model and store output as xarray data set
        _, oggm_ds = fl_mod.run_until_and_store(2003)

        # temporal indices must be equal
        assert (vas_ds.time == oggm_ds.time).all()

        # specify which parameters to compare and their respective correlation
        # coefficients and rmsd values
        params = ['length_m', 'area_m2', 'volume_m3']
        corr_coeffs = np.array([0.96, 0.90, 0.93])
        rmsds = np.array([0.43e3, 0.14e6, 0.03e9])

        # compare given parameters
        for param, cc, rmsd in zip(params, corr_coeffs, rmsds):
            # correlation coefficient
            assert corrcoef(oggm_ds[param].values, vas_ds[param].values) >= cc
            # root mean squared deviation
            rmsd_an = rmsd_bc(oggm_ds[param].values, vas_ds[param].values)
            assert rmsd_an <= rmsd
Beispiel #11
0
    def test_yearly_mb_temp_prcp(self):
        """Test the routine which returns the yearly mass balance relevant
        climate parameters, i.e. positive melting temperature and solid
        precipitation. The testing target is the output of the corresponding
        OGGM routine `get_yearly_mb_climate_on_glacier(gdir)`.
        """

        # read the Hintereisferner DEM
        hef_file = get_demo_file('Hintereisferner_RGI5.shp')
        entity = gpd.read_file(hef_file).iloc[0]

        # initialize the GlacierDirectory
        gdir = oggm.GlacierDirectory(entity, base_dir=self.testdir)
        # define the local grid and glacier mask
        gis.define_glacier_region(gdir, entity=entity)
        gis.glacier_masks(gdir)
        # run centerline prepro tasks
        centerlines.compute_centerlines(gdir)
        centerlines.initialize_flowlines(gdir)
        centerlines.catchment_area(gdir)
        centerlines.catchment_intersections(gdir)
        centerlines.catchment_width_geom(gdir)
        centerlines.catchment_width_correction(gdir)
        # process the given climate file
        climate.process_custom_climate_data(gdir)

        # get yearly sums of terminus temperature and solid precipitation
        years, temp, prcp = vascaling.get_yearly_mb_temp_prcp(gdir)

        # use the OGGM methode to get the mass balance
        # relevant climate parameters
        years_oggm, temp_oggm, prcp_oggm = \
            climate.mb_yearly_climate_on_glacier(gdir)

        # the energy input at the glacier terminus must be greater than (or
        # equal to) the glacier wide average, since the air temperature drops
        # with elevation, i.e. the mean deviation must be positive, using the
        # OGGM data as reference
        assert md(temp_oggm, temp) >= 0
        # consequentially, the average mass input must be less than (or equal
        # to) the mass input integrated over the whole glacier surface, i.e.
        # the mean deviation must be negative, using the OGGM data as reference
        # TODO: does it actually?! And if so, why?! @ASK
        assert md(prcp_oggm, prcp) <= 0

        # correlation must be higher than set threshold
        assert corrcoef(temp, temp_oggm) >= 0.94
        assert corrcoef(prcp, prcp_oggm) >= 0.98

        # get terminus temperature using the OGGM routine
        fpath = gdir.get_filepath('gridded_data')
        with ncDataset(fpath) as nc:
            mask = nc.variables['glacier_mask'][:]
            topo = nc.variables['topo'][:]
        heights = np.array([np.min(topo[np.where(mask == 1)])])
        years_height, temp_height, _ = \
            climate.mb_yearly_climate_on_height(gdir, heights, flatten=False)
        temp_height = temp_height[0]
        # both time series must be equal
        np.testing.assert_array_equal(temp, temp_height)

        # get solid precipitation averaged over the glacier
        # (not weighted with widths)
        fls = gdir.read_pickle('inversion_flowlines')
        heights = np.array([])
        for fl in fls:
            heights = np.append(heights, fl.surface_h)
        years_height, _, prcp_height = \
            climate.mb_yearly_climate_on_height(gdir, heights, flatten=True)
        # correlation must be higher than set threshold
        assert corrcoef(prcp, prcp_height) >= 0.99

        # TODO: assert absolute values (or differences) of precipitation @ASK

        # test exception handling of out of bounds time/year range
        with self.assertRaises(climate.MassBalanceCalibrationError):
            # start year out of bounds
            year_range = [1500, 1980]
            _, _, _ = vascaling.get_yearly_mb_temp_prcp(gdir,
                                                        year_range=year_range)
        with self.assertRaises(climate.MassBalanceCalibrationError):
            # end year oud of bounds
            year_range = [1980, 3000]
            _, _, _ = vascaling.get_yearly_mb_temp_prcp(gdir,
                                                        year_range=year_range)
        with self.assertRaises(ValueError):
            # get not N full years
            t0 = datetime.datetime(1980, 1, 1)
            t1 = datetime.datetime(1980, 3, 1)
            time_range = [t0, t1]
            _, _, _ = vascaling.get_yearly_mb_temp_prcp(gdir,
                                                        time_range=time_range)

        # TODO: assert gradient in climate file?!

        pass
Beispiel #12
0
def mu_star_calibration(gdir):
    """Compute the flowlines' mu* and the associated apparent mass-balance.

    If low lying tributaries have a non-physically consistent Mass-balance
    this function will either filter them out or calibrate each flowline with a
    specific mu*. The latter is default and recommended.

    Parameters
    ----------
    gdir : :py:class:`oggm.GlacierDirectory`
        the glacier directory to process
    """

    # Interpolated data
    df = gdir.read_json('local_mustar')
    t_star = df['t_star']
    bias = df['bias']

    # For each flowline compute the apparent MB
    fls = gdir.read_pickle('inversion_flowlines')
    # If someone calls the task a second time we need to reset this
    for fl in fls:
        fl.mu_star_is_valid = False

    force_mu = 0 if df['mu_star_glacierwide'] == 0 else None

    # Let's go
    _recursive_mu_star_calibration(gdir, fls, t_star, force_mu=force_mu)

    # If the user wants to filter the bad ones we remove them and start all
    # over again until all tributaries are physically consistent with one mu
    # This should only work if cfg.PARAMS['correct_for_neg_flux'] == False
    do_filter = [fl.flux_needs_correction for fl in fls]
    if cfg.PARAMS['filter_for_neg_flux'] and np.any(do_filter):
        assert not do_filter[-1]  # This should not happen
        # Keep only the good lines
        # TODO: this should use centerline.line_inflows for more efficiency!
        heads = [fl.orig_head for fl in fls if not fl.flux_needs_correction]
        centerlines.compute_centerlines(gdir, heads=heads, reset=True)
        centerlines.initialize_flowlines(gdir, reset=True)
        if gdir.has_file('downstream_line'):
            centerlines.compute_downstream_line(gdir, reset=True)
            centerlines.compute_downstream_bedshape(gdir, reset=True)
        centerlines.catchment_area(gdir, reset=True)
        centerlines.catchment_intersections(gdir, reset=True)
        centerlines.catchment_width_geom(gdir, reset=True)
        centerlines.catchment_width_correction(gdir, reset=True)
        local_t_star(gdir, tstar=t_star, bias=bias, reset=True)
        # Ok, re-call ourselves
        return mu_star_calibration(gdir, reset=True)

    # Check and write
    rho = cfg.PARAMS['ice_density']
    aflux = fls[-1].flux[-1] * 1e-9 / rho * gdir.grid.dx**2
    # If not marine and a bit far from zero, warning
    cmb = calving_mb(gdir)
    if cmb == 0 and not np.allclose(fls[-1].flux[-1], 0., atol=0.01):
        log.info('(%s) flux should be zero, but is: '
                 '%.4f km3 ice yr-1', gdir.rgi_id, aflux)
    # If not marine and quite far from zero, error
    if cmb == 0 and not np.allclose(fls[-1].flux[-1], 0., atol=1):
        msg = ('({}) flux should be zero, but is: {:.4f} km3 ice yr-1'.format(
            gdir.rgi_id, aflux))
        raise MassBalanceCalibrationError(msg)
    gdir.write_pickle(fls, 'inversion_flowlines')

    # Store diagnostics
    mus = []
    weights = []
    for fl in fls:
        mus.append(fl.mu_star)
        weights.append(np.sum(fl.widths))
    df['mu_star_per_flowline'] = mus
    df['mu_star_flowline_avg'] = np.average(mus, weights=weights)
    all_same = np.allclose(mus, mus[0], atol=1e-3)
    df['mu_star_allsame'] = all_same
    if all_same:
        if not np.allclose(df['mu_star_flowline_avg'],
                           df['mu_star_glacierwide'],
                           atol=1e-3):
            raise MassBalanceCalibrationError('Unexpected difference between '
                                              'glacier wide mu* and the '
                                              'flowlines mu*.')
    # Write
    gdir.write_json(df, 'local_mustar')
Beispiel #13
0
def init_hef(reset=False,
             border=40,
             invert_with_sliding=True,
             invert_with_rectangular=True):

    # test directory
    testdir = os.path.join(get_test_dir(), 'tmp_border{}'.format(border))
    if not invert_with_sliding:
        testdir += '_withoutslide'
    if not invert_with_rectangular:
        testdir += '_withoutrectangular'
    if not os.path.exists(testdir):
        os.makedirs(testdir)
        reset = True

    # Init
    cfg.initialize()
    cfg.set_intersects_db(get_demo_file('rgi_intersect_oetztal.shp'))
    cfg.PATHS['dem_file'] = get_demo_file('hef_srtm.tif')
    cfg.PATHS['climate_file'] = get_demo_file('histalp_merged_hef.nc')
    cfg.PARAMS['border'] = border
    cfg.PARAMS['use_optimized_inversion_params'] = True

    hef_file = get_demo_file('Hintereisferner_RGI5.shp')
    entity = gpd.read_file(hef_file).iloc[0]

    gdir = oggm.GlacierDirectory(entity, base_dir=testdir, reset=reset)
    if not gdir.has_file('inversion_params'):
        reset = True
        gdir = oggm.GlacierDirectory(entity, base_dir=testdir, reset=reset)

    if not reset:
        return gdir

    gis.define_glacier_region(gdir, entity=entity)
    execute_entity_task(gis.glacier_masks, [gdir])
    execute_entity_task(centerlines.compute_centerlines, [gdir])
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.compute_downstream_bedshape(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)
    climate.process_custom_climate_data(gdir)
    climate.mu_candidates(gdir)
    mbdf = gdir.get_ref_mb_data()['ANNUAL_BALANCE']
    res = climate.t_star_from_refmb(gdir, mbdf)
    climate.local_mustar(gdir,
                         tstar=res['t_star'][-1],
                         bias=res['bias'][-1],
                         prcp_fac=res['prcp_fac'])
    climate.apparent_mb(gdir)

    inversion.prepare_for_inversion(
        gdir,
        add_debug_var=True,
        invert_with_rectangular=invert_with_rectangular)
    ref_v = 0.573 * 1e9

    if invert_with_sliding:

        def to_optimize(x):
            # For backwards compat
            _fd = 1.9e-24 * x[0]
            glen_a = (cfg.N + 2) * _fd / 2.
            fs = 5.7e-20 * x[1]
            v, _ = inversion.mass_conservation_inversion(gdir,
                                                         fs=fs,
                                                         glen_a=glen_a)
            return (v - ref_v)**2

        out = optimization.minimize(to_optimize, [1, 1],
                                    bounds=((0.01, 10), (0.01, 10)),
                                    tol=1e-4)['x']
        _fd = 1.9e-24 * out[0]
        glen_a = (cfg.N + 2) * _fd / 2.
        fs = 5.7e-20 * out[1]
        v, _ = inversion.mass_conservation_inversion(gdir,
                                                     fs=fs,
                                                     glen_a=glen_a,
                                                     write=True)
    else:

        def to_optimize(x):
            glen_a = cfg.A * x[0]
            v, _ = inversion.mass_conservation_inversion(gdir,
                                                         fs=0.,
                                                         glen_a=glen_a)
            return (v - ref_v)**2

        out = optimization.minimize(to_optimize, [1],
                                    bounds=((0.01, 10), ),
                                    tol=1e-4)['x']
        glen_a = cfg.A * out[0]
        fs = 0.
        v, _ = inversion.mass_conservation_inversion(gdir,
                                                     fs=fs,
                                                     glen_a=glen_a,
                                                     write=True)
    d = dict(fs=fs, glen_a=glen_a)
    d['factor_glen_a'] = out[0]
    try:
        d['factor_fs'] = out[1]
    except IndexError:
        d['factor_fs'] = 0.
    gdir.write_pickle(d, 'inversion_params')

    # filter
    inversion.filter_inversion_output(gdir)

    inversion.distribute_thickness_interp(gdir, varname_suffix='_interp')
    inversion.distribute_thickness_per_altitude(gdir, varname_suffix='_alt')

    flowline.init_present_time_glacier(gdir)

    return gdir
Beispiel #14
0
def init_hef(reset=False, border=40):

    # test directory
    testdir = os.path.join(get_test_dir(), 'tmp_border{}'.format(border))
    if not os.path.exists(testdir):
        os.makedirs(testdir)
        reset = True

    # Init
    cfg.initialize()
    cfg.set_intersects_db(get_demo_file('rgi_intersect_oetztal.shp'))
    cfg.PATHS['dem_file'] = get_demo_file('hef_srtm.tif')
    cfg.PATHS['climate_file'] = get_demo_file('histalp_merged_hef.nc')
    cfg.PARAMS['baseline_climate'] = ''
    cfg.PATHS['working_dir'] = testdir
    cfg.PARAMS['border'] = border

    hef_file = get_demo_file('Hintereisferner_RGI5.shp')
    entity = gpd.read_file(hef_file).iloc[0]

    gdir = oggm.GlacierDirectory(entity, reset=reset)
    if not gdir.has_file('inversion_params'):
        reset = True
        gdir = oggm.GlacierDirectory(entity, reset=reset)

    if not reset:
        return gdir

    gis.define_glacier_region(gdir, entity=entity)
    execute_entity_task(gis.glacier_masks, [gdir])
    execute_entity_task(centerlines.compute_centerlines, [gdir])
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.compute_downstream_bedshape(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)
    climate.process_custom_climate_data(gdir)
    mbdf = gdir.get_ref_mb_data()['ANNUAL_BALANCE']
    res = climate.t_star_from_refmb(gdir, mbdf=mbdf)
    climate.local_t_star(gdir, tstar=res['t_star'], bias=res['bias'])
    climate.mu_star_calibration(gdir)

    inversion.prepare_for_inversion(gdir, add_debug_var=True)

    ref_v = 0.573 * 1e9

    glen_n = cfg.PARAMS['glen_n']

    def to_optimize(x):
        # For backwards compat
        _fd = 1.9e-24 * x[0]
        glen_a = (glen_n+2) * _fd / 2.
        fs = 5.7e-20 * x[1]
        v, _ = inversion.mass_conservation_inversion(gdir, fs=fs,
                                                     glen_a=glen_a)
        return (v - ref_v)**2

    out = optimization.minimize(to_optimize, [1, 1],
                                bounds=((0.01, 10), (0.01, 10)),
                                tol=1e-4)['x']
    _fd = 1.9e-24 * out[0]
    glen_a = (glen_n+2) * _fd / 2.
    fs = 5.7e-20 * out[1]
    v, _ = inversion.mass_conservation_inversion(gdir, fs=fs,
                                                 glen_a=glen_a,
                                                 write=True)

    d = dict(fs=fs, glen_a=glen_a)
    d['factor_glen_a'] = out[0]
    d['factor_fs'] = out[1]
    gdir.write_pickle(d, 'inversion_params')

    # filter
    inversion.filter_inversion_output(gdir)

    inversion.distribute_thickness_interp(gdir, varname_suffix='_interp')
    inversion.distribute_thickness_per_altitude(gdir, varname_suffix='_alt')

    flowline.init_present_time_glacier(gdir)

    return gdir
Beispiel #15
0
def init_hef(reset=False, border=40, logging_level='INFO'):

    from oggm.core import gis, inversion, climate, centerlines, flowline
    import geopandas as gpd

    # test directory
    testdir = os.path.join(get_test_dir(), 'tmp_border{}'.format(border))
    if not os.path.exists(testdir):
        os.makedirs(testdir)
        reset = True

    # Init
    cfg.initialize(logging_level=logging_level)
    cfg.set_intersects_db(get_demo_file('rgi_intersect_oetztal.shp'))
    cfg.PATHS['dem_file'] = get_demo_file('hef_srtm.tif')
    cfg.PATHS['climate_file'] = get_demo_file('histalp_merged_hef.nc')
    cfg.PARAMS['baseline_climate'] = ''
    cfg.PATHS['working_dir'] = testdir
    cfg.PARAMS['border'] = border

    hef_file = get_demo_file('Hintereisferner_RGI5.shp')
    entity = gpd.read_file(hef_file).iloc[0]

    gdir = oggm.GlacierDirectory(entity, reset=reset)
    if not gdir.has_file('inversion_params'):
        reset = True
        gdir = oggm.GlacierDirectory(entity, reset=reset)

    if not reset:
        return gdir

    gis.define_glacier_region(gdir)
    execute_entity_task(gis.glacier_masks, [gdir])
    execute_entity_task(centerlines.compute_centerlines, [gdir])
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.compute_downstream_bedshape(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)
    climate.process_custom_climate_data(gdir)
    mbdf = gdir.get_ref_mb_data()['ANNUAL_BALANCE']
    res = climate.t_star_from_refmb(gdir, mbdf=mbdf)
    climate.local_t_star(gdir, tstar=res['t_star'], bias=res['bias'])
    climate.mu_star_calibration(gdir)

    inversion.prepare_for_inversion(gdir, add_debug_var=True)

    ref_v = 0.573 * 1e9

    glen_n = cfg.PARAMS['glen_n']

    def to_optimize(x):
        # For backwards compat
        _fd = 1.9e-24 * x[0]
        glen_a = (glen_n + 2) * _fd / 2.
        fs = 5.7e-20 * x[1]
        v, _ = inversion.mass_conservation_inversion(gdir,
                                                     fs=fs,
                                                     glen_a=glen_a)
        return (v - ref_v)**2

    out = optimization.minimize(to_optimize, [1, 1],
                                bounds=((0.01, 10), (0.01, 10)),
                                tol=1e-4)['x']
    _fd = 1.9e-24 * out[0]
    glen_a = (glen_n + 2) * _fd / 2.
    fs = 5.7e-20 * out[1]
    v, _ = inversion.mass_conservation_inversion(gdir,
                                                 fs=fs,
                                                 glen_a=glen_a,
                                                 write=True)

    d = dict(fs=fs, glen_a=glen_a)
    d['factor_glen_a'] = out[0]
    d['factor_fs'] = out[1]
    gdir.write_pickle(d, 'inversion_params')

    # filter
    inversion.filter_inversion_output(gdir)

    inversion.distribute_thickness_interp(gdir, varname_suffix='_interp')
    inversion.distribute_thickness_per_altitude(gdir, varname_suffix='_alt')

    flowline.init_present_time_glacier(gdir)

    return gdir
Beispiel #16
0
gdir = oggm.GlacierDirectory(entity, base_dir=testdir)
# define the local grid and glacier mask
gis.define_glacier_region(gdir, entity=entity)
gis.glacier_masks(gdir)

from oggm.core import climate
# process the given climate file
climate.process_custom_climate_data(gdir)

from oggm.core import centerlines
# run center line preprocessing tasks
centerlines.compute_centerlines(gdir)
centerlines.initialize_flowlines(gdir)
centerlines.compute_downstream_line(gdir)
centerlines.compute_downstream_bedshape(gdir)
centerlines.catchment_area(gdir)
centerlines.catchment_intersections(gdir)
centerlines.catchment_width_geom(gdir)
centerlines.catchment_width_correction(gdir)

# --------------------
#  MASS BALANCE TASKS
# --------------------

# read reference glacier mass balance data
mbdf = gdir.get_ref_mb_data()
# compute the reference t* for the glacier
# given the reference of mass balance measurements
res = climate.t_star_from_refmb(gdir, mbdf=mbdf['ANNUAL_BALANCE'])
t_star, bias = res['t_star'], res['bias']
def compare(rgi_id, glacier_name):
    """

    :param rgi_id:
    :param glacier_name:
    :return:
    """

    # ---------------------
    #  PREPROCESSING TASKS
    # ---------------------
    # create test directory
    wdir = os.path.join(os.path.abspath('.'), 'comparison_wdir')
    if not os.path.exists(wdir):
        os.makedirs(wdir)
    shutil.rmtree(wdir)
    os.makedirs(wdir)

    # load default parameter file
    cfg.initialize()

    # RGI entity
    # get/downlaod the rgi entity including the outline shapefile
    rgi_df = utils.get_rgi_glacier_entities([rgi_id])
    # set name, since not delivered with RGI
    if rgi_df.loc[int(rgi_id[-5:])-1, 'Name'] is None:
        rgi_df.loc[int(rgi_id[-5:])-1, 'Name'] = glacier_name

    # select single entry
    rgi_entity = rgi_df.iloc[0]

    # GlacierDirectory
    # specify the working directory and define the glacier directory
    cfg.PATHS['working_dir'] = wdir
    gdir = oggm.GlacierDirectory(rgi_entity)

    # DEM and GIS tasks
    # get the path to the DEM file (will download if necessary)
    dem = utils.get_topo_file(gdir.cenlon, gdir.cenlat)
    # set path in config file
    cfg.PATHS['dem_file'] = dem[0][0]
    cfg.PARAMS['border'] = 10
    cfg.PARAMS['use_intersects'] = False
    # run GIS tasks
    gis.define_glacier_region(gdir, entity=rgi_entity)
    gis.glacier_masks(gdir)

    # Climate data
    # using HistAlp
    cfg.PARAMS['baseline_climate'] = 'HISTALP'
    # climate records before 1850 are hardly reliable, which is not so drastic for
    # qualitative experiments (could be driven with random climate anyway)
    # cfg.PARAMS['baseline_y0'] = 1850
    # change hyper parameters for HistAlp
    cfg.PARAMS['prcp_scaling_factor'] = 1.75
    cfg.PARAMS['temp_melt'] = -1.75
    # run climate task
    climate.process_histalp_data(gdir)

    # run center line preprocessing tasks
    centerlines.compute_centerlines(gdir)
    centerlines.initialize_flowlines(gdir)
    centerlines.compute_downstream_line(gdir)
    centerlines.compute_downstream_bedshape(gdir)
    centerlines.catchment_area(gdir)
    centerlines.catchment_intersections(gdir)
    centerlines.catchment_width_geom(gdir)
    centerlines.catchment_width_correction(gdir)

    # --------------------
    #  SCALING MODEL
    # --------------------

    # compute local t* and the corresponding mu*
    vascaling.local_t_star(gdir)

    # instance the mass balance models
    vas_mb_mod = vascaling.VAScalingMassBalance(gdir)

    # get reference area
    a0 = gdir.rgi_area_m2
    # get reference year
    y0 = gdir.read_pickle('climate_info')['baseline_hydro_yr_0']
    y1 = gdir.read_pickle('climate_info')['baseline_hydro_yr_1']
    # get min and max glacier surface elevation
    h0, h1 = vascaling.get_min_max_elevation(gdir)

    # instance VAS model
    vas_model = vascaling.VAScalingModel(year_0=y0, area_m2_0=a0,
                                         min_hgt=h0, max_hgt=h1,
                                         mb_model=vas_mb_mod)
    # run model over all HistAlp climate period
    vas_df = vas_model.run_and_store(y1, reset=True)
    # get relevant parameters
    years_vas = vas_df.index.values
    length_m_vas = vas_df.length_m.values
    area_m2_vas = vas_df.area_m2.values
    volume_m3_vas = vas_df.volume_m3.values

    # ------
    #  OGGM
    # ------

    # compute local t* and the corresponding mu*
    climate.local_t_star(gdir)
    climate.mu_star_calibration(gdir)

    # instance the mass balance models
    mb_mod = massbalance.PastMassBalance(gdir)

    # run inversion tasks
    inversion.prepare_for_inversion(gdir)
    inversion.mass_conservation_inversion(gdir)
    inversion.filter_inversion_output(gdir)

    # initialize present time glacier
    flowline.init_present_time_glacier(gdir)

    # instance flowline model
    fls = gdir.read_pickle('model_flowlines')
    y0 = gdir.read_pickle('climate_info')['baseline_hydro_yr_0']
    y1 = gdir.read_pickle('climate_info')['baseline_hydro_yr_1']
    fl_mod = flowline.FluxBasedModel(flowlines=fls, mb_model=mb_mod, y0=y0)

    # run model and store output as xarray data set
    _, oggm_ds = fl_mod.run_until_and_store(y1)

    years_oggm = oggm_ds.hydro_year.values
    # annual index must be equal
    np.testing.assert_array_equal(years_oggm, years_vas)
    length_m_oggm = oggm_ds.length_m.values
    area_m2_oggm = oggm_ds.area_m2.values
    volume_m3_oggm = oggm_ds.volume_m3.values

    # define column names for DataFrame
    names = ['length_vas', 'length_oggm',
             'area_vas', 'area_oggm',
             'volume_vas', 'volume_oggm']
    # combine glacier geometries into DataFrame
    df = pd.DataFrame(np.array([length_m_vas, length_m_oggm,
                                area_m2_vas, area_m2_oggm,
                                volume_m3_vas, volume_m3_oggm]).T,
                      index=years_vas, columns=names)
    # save to file
    store = True
    if store:
        # define path and file names
        folder = '/Users/oberrauch/work/master/data/'
        df.to_csv(folder+'run_comparison.csv')

    def plot_both(vas_df, oggm_df, ref=None, correct_bias=False,
                  title='', ylabel='', file_path='', exp=0):
        """ Plot geometric parameters of both models.
        If a `file_path` is given, the figure will be saved.

        :param vas_df: (pandas.Series) geometric glacier parameter of the VAS model
        :param oggm_df: (pandas.Series) geometric glacier parameter of the OGGM
        :param ref: (pandas.Series) measured glacier parameter, optional
        :param title: (string) figure title, optional
        :param ylabel: (string) label for y-axis, optional
        :param file_path: (string) where to store the figure, optional
        :param exp: (int) exponent for labels in scientific notation, optional
        """
        beamer = True
        if beamer:
            mpl.rc('axes', titlesize=18)
            mpl.rc('axes', labelsize=14)
            mpl.rc('xtick', labelsize=14)
            mpl.rc('ytick', labelsize=14)
            mpl.rc('legend', fontsize=10)
        # create figure and first axes
        fig = plt.figure(figsize=[6, 4])
        ax = fig.add_axes([0.15, 0.1, 0.8, 0.8])

        # define colors
        c1 = 'C0'
        c2 = 'C1'
        c3 = 'C3'
        # plot vas and OGGM parameters
        ax.plot(oggm_df.index, oggm_df.values, c=c2, label='OGGM')
        ax.plot(vas_df.index, vas_df.values, c=c1, label='VAS')
        if ref:
            # plot reference parameter if given
            ax.plot(ref.index, ref.values, c=c3, label='measurements')
        if correct_bias:
            # plot bias corrected vas
            df_ = pd.DataFrame([oggm_df, vas_df]).T
            bias = vas_df.values - df_.mean().diff().iloc[1]
            ax.plot(vas_df.index, bias, c=c1, ls='--',
                    label='VAS, bias corrected')
            # add RMSD as text
            ax.text(0.05, 0.05,
                    'RMSD: {:.1e}'.format(utils.rmsd(oggm_df, bias)),
                    transform=plt.gca().transAxes)

        # add correlation coefficient as text
        ax.text(0.05, 0.11, 'Corr. Coef.: {:.2f}'.format(
            utils.corrcoef(oggm_df, vas_df)),
                    transform=plt.gca().transAxes)

        # add title, labels, legend
        ax.set_title(title)
        ax.set_ylabel(ylabel)
        ax.legend()

        import matplotlib.ticker

        class OOMFormatter(matplotlib.ticker.ScalarFormatter):
            def __init__(self, order=0, fformat="%1.1f", offset=False, mathText=False):
                self.oom = order
                self.fformat = fformat
                matplotlib.ticker.ScalarFormatter.__init__(self, useOffset=offset, useMathText=mathText)

            def _set_orderOfMagnitude(self, nothing):
                self.orderOfMagnitude = self.oom

            def _set_format(self, vmin, vmax):
                self.format = self.fformat
                if self._useMathText:
                    self.format = '$%s$' % matplotlib.ticker._mathdefault(self.format)

        # use scientific notation with fixed exponent according
        ax.yaxis.set_major_formatter(OOMFormatter(exp, "%1.2f"))

        # store to file
        if file_path:
            plt.savefig(file_path, bbox_inches='tight',
                        format=file_path.split('.')[-1])

    # specify plot directory
    folder = '/Users/oberrauch/work/master/plots/'

    # plot length
    plot_both(df.length_vas, df.length_oggm, correct_bias=True,
              title='Glacier length - {}'.format(glacier_name),
              ylabel=r'Length [m]',
              file_path=os.path.join(folder, '{}_length.pdf'.format(rgi_id)),
              exp=3)
    # plot area
    plot_both(df.area_vas, df.area_oggm, correct_bias=True,
              title='Surface area - {}'.format(glacier_name),
              ylabel=r'Area [m$^2$]',
              file_path=os.path.join(folder, '{}_area.pdf'.format(rgi_id)),
              exp=6)
    # plot volume
    plot_both(df.volume_vas, df.volume_oggm, correct_bias=True,
              title='Glacier volume - {}'.format(glacier_name),
              ylabel=r'Volume [m$^3$]',
              file_path=os.path.join(folder, '{}_volume.pdf'.format(rgi_id)),
              exp=9)