# -*- coding: UTF-8 -*-
# Python
"""11-07-2023
@author: jeremy auclair
Usage of the SAMIR model in the Modspa framework.
"""
import xarray as xr # to manage datasets
from numba import njit, float32, int16 # to compile functions in nopython mode for faster calculation
import numpy as np # for vectorized maths
from typing import List, Tuple # to declare argument types
import netCDF4 as nc # to efficiently read and write netCDF files
from tqdm import tqdm # to show a progress bar
from psutil import virtual_memory # to check available ram
from modspa_pixel.parameters.params_samir_class import samir_parameters # to load SAMIR parameters
from modspa_pixel.config.config import config # to load modspa config file
from modspa_pixel.source.code_toolbox import format_Byte_size # to print memory requirements
def rasterize_samir_parameters(csv_param_file: str, land_cover_raster: str) -> dict:
"""
Creates a dictionnary containing raster parameter values and the scale factors from the csv parameter file
and the land cover raster. For each parameter, the function loops on land cover classes
to fill the raster.
Arguments
=========
1. csv_param_file: ``str``
path to csv paramter file
2. land_cover_raster: ``str``
path to land cover netcdf raster
Returns
=======
parameter_dict: ``dict``
the dictionnary containing all the rasterized Parameters
and the scale factors
"""
# Load samir params into an object
table_param = samir_parameters(csv_param_file)
# Set general variables
class_count = table_param.table.shape[1] - 2 # remove dtype and default columns
# Open land cover raster
land_cover = xr.open_dataarray(land_cover_raster).to_numpy()
# Create parameter dictionnary
parameter_dict = {}
# Loop on samir parameters and create
for parameter in table_param.table.index[1:]:
value = land_cover.copy().astype('int16')
# Assign scale factor
# Scale factors have the following name scheme : s_ + parameter_name
parameter_dict['s_' + parameter] = np.float32(1/int(table_param.table.loc[table_param.table.index == parameter]['scale_factor'].values[0]))
# Loop on classes to set parameter values for each class
for class_val, class_name in zip(range(1, class_count + 1), table_param.table.columns[2:]):
# Parameter values are multiplied by the scale factor in order to store all values as int16 types
# These values are then rounded to make sure there isn't any decimal point issues when casting the values to int16
# TODO vr: formule trop longue, trouver un moyen de rendre lisible
value = np.where(value == class_val, round(table_param.table.loc[table_param.table.index == parameter][class_name].values[0] * table_param.table.loc[table_param.table.index == parameter]['scale_factor'].values[0]), value).astype('int16')
# Assign parameter value
# Parameters have an underscore (_) behind their name for recognition
parameter_dict[parameter + '_'] = value
return parameter_dict
def prepare_output_dataset(empty_dataset: xr.Dataset, additional_outputs: dict = None) -> xr.Dataset:
"""
Creates the `xarray Dataset` containing the outputs of the SAMIR model that will be saved.
Additional variables can be saved by adding their names to the `additional_outputs` list.
Arguments
=========
1. empty_dataset: ``xr.Dataset``
empty dataset that contains the right structure
2. additional_outputs: ``List[str]``
list of additional variable names to be saved
Returns
=======
1. model_outputs: ``xr.Dataset``
model outputs to be saved
"""
# Evaporation and Transpiraion
model_outputs = empty_dataset.copy(deep=True)
model_outputs['E'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['E'].attrs['units'] = 'mm'
model_outputs['E'].attrs['standard_name'] = 'Evaporation'
model_outputs['E'].attrs['description'] = 'Accumulated daily evaporation in milimeters'
model_outputs['E'].attrs['scale factor'] = '1000'
model_outputs['Tr'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['Tr'].attrs['units'] = 'mm'
model_outputs['Tr'].attrs['standard_name'] = 'Transpiration'
model_outputs['Tr'].attrs['description'] = 'Accumulated daily plant transpiration in milimeters'
model_outputs['Tr'].attrs['scale factor'] = '1000'
# Soil Water Content
model_outputs['SWCe'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['SWCe'].attrs['units'] = 'mm'
model_outputs['SWCe'].attrs['standard_name'] = 'Soil Water Content of the evaporative zone'
model_outputs['SWCe'].attrs['description'] = 'Soil water content of the evaporative zone in milimeters'
model_outputs['SWCe'].attrs['scale factor'] = '1000'
model_outputs['SWCr'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['SWCr'].attrs['units'] = 'mm'
model_outputs['SWCr'].attrs['standard_name'] = 'Soil Water Content of the root zone'
model_outputs['SWCr'].attrs['description'] = 'Soil water content of the root zone in milimeters'
model_outputs['SWCr'].attrs['scale factor'] = '1000'
# Irrigation
model_outputs['Irr'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['Irr'].attrs['units'] = 'mm'
model_outputs['Irr'].attrs['standard_name'] = 'Irrigation'
model_outputs['Irr'].attrs['description'] = 'Simulated daily irrigation in milimeters'
model_outputs['Irr'].attrs['scale factor'] = '1000'
# Deep Percolation
model_outputs['DP'] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
model_outputs['DP'].attrs['units'] = 'mm'
model_outputs['DP'].attrs['standard_name'] = 'Deep Percolation'
model_outputs['DP'].attrs['description'] = 'Simulated daily Deep Percolation in milimeters'
model_outputs['DP'].attrs['scale factor'] = '1000'
if additional_outputs:
for var in additional_outputs.keys():
model_outputs[var] = (empty_dataset.dims, np.zeros(tuple(empty_dataset.dims[d] for d in list(empty_dataset.dims)), dtype = np.int16))
return model_outputs
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_diff_re(TAW: np.ndarray, Dr: np.ndarray, Zr: np.ndarray, RUE: np.ndarray, De: np.ndarray, Wfc: np.ndarray, Ze: np.ndarray, DiffE: np.ndarray) -> np.ndarray:
"""
Calculates the diffusion between the top soil layer and the root layer. Uses numba for faster and parallel calculation.
Arguments
=========
1. TAW: ``np.ndarray``
water capacity of root layer
2. Dr: ``np.ndarray``
depletion of root layer
3. Zr: ``np.ndarray``
height of root layer
4. RUE: ``np.ndarray``
total available surface water = (Wfc-Wwp)*Ze
5. De: ``np.ndarray``
depletion of the evaporative layer
6. Wfc: ``np.ndarray``
field capacity
7. Ze: ``np.ndarray``
height of evaporative layer (paramter)
8. DiffE: ``np.ndarray``
diffusion coefficient between evaporative
and root layers (unitless, parameter)
Returns
=======
1. diff_re: ``np.ndarray``
the diffusion between the top soil layer and
the root layer
"""
# Temporary variables to make calculation easier to read
tmp1 = ((TAW - Dr) / Zr - (RUE - De) / Ze) / (Wfc * DiffE)
tmp2 = ((TAW * Ze) - (RUE - De - Dr) * Zr) / (Zr + Ze) - Dr
# Calculate diffusion according to SAMIR equation
# Return zero values where the 'DiffE' parameter is equal to 0
return np.where(DiffE == 0, np.float32(0), np.where(tmp1 < 0, np.maximum(tmp1, tmp2), np.minimum(tmp1, tmp2)))
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_diff_dr(TAW: np.ndarray, TDW: np.ndarray, Dr: np.ndarray, Zr: np.ndarray, Dd: np.ndarray, Wfc: np.ndarray, Zsoil: np.ndarray, DiffR: np.ndarray) -> np.ndarray:
"""
Calculates the diffusion between the root layer and the deep layer. Uses numba for faster and parallel calculation.
Arguments
=========
1. TAW: ``np.ndarray``
water capacity of root layer
2. TDW: ``np.ndarray``
water capacity of deep layer
3. Dr: ``np.ndarray``
depletion of root layer
4. Zr: ``np.ndarray``
height of root layer
5. Dd: ``np.ndarray``
depletion of deep layer
6. Wfc: ``np.ndarray``
field capacity
7. Zsoil: ``np.ndarray``
total height of soil (paramter)
8. DiffR: ``np.ndarray``
Diffusion coefficient between root
and deep layers (unitless, parameter)
Returns
=======
1. Diff_dr: ``np.ndarray``
the diffusion between the root layer and the
deep layer
"""
# Temporary variables to make calculation easier to read
tmp1 = (((TDW - Dd) / (Zsoil - Zr) - (TAW - Dr) / Zr) / Wfc) * DiffR
tmp2 = ((TDW * Zr - (TAW - Dr - Dd) * (Zsoil - Zr)) / Zsoil) - Dd
# Calculate diffusion according to SAMIR equation
# Return zero values where the 'DiffR' parameter is equal to 0
return np.where(DiffR == 0, np.float32(0), np.where(tmp1 < 0, np.maximum(tmp1, tmp2), np.minimum(tmp1, tmp2)))
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_W(TEW: np.ndarray, Dei: np.ndarray, Dep: np.ndarray, fewi: np.ndarray, fewp: np.ndarray) -> np.ndarray:
"""
Calculate W, the weighting factor to split the energy available
for evaporation depending on the difference in water availability
in the two evaporation components, ensuring that the larger and
the wetter, the more the evaporation occurs from that component.
Uses numba for faster and parallel calculation.
Arguments
=========
1. TEW: ``np.ndarray``
water capacity of evaporative layer
2. Dei: ``np.ndarray``
depletion of the evaporative layer
(irrigation part)
3. Dep: ``np.ndarray``
depletion of the evaporative layer
(precipitation part)
4. fewi: ``np.ndarray``
soil fraction which is wetted by irrigation
and exposed to evaporation
5. fewp: ``np.ndarray``
soil fraction which is wetted by precipitation
and exposed to evaporation
Returns
=======
1. W: ``np.ndarray``
weighting factor W
"""
# Calculate the weighting factor to split the energy available for evaporation
# * Equation: W = 1 / (1 + (fewp * (TEW - Dep) / fewi * (TEW - Dei)))
# Return W
# * Equation: W = where(fewi * (TEW - Dei) > 0, W, 0)
return np.where(fewi * (TEW - Dei) > 0, 1 / (1 + (fewp * (TEW - Dep) / fewi * (TEW - Dei))), np.float32(0))
@njit((float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_Kr(TEW: np.ndarray, De: np.ndarray, REW: np.ndarray) -> np.ndarray:
"""
calculates of the reduction coefficient for evaporation dependent
on the amount of water in the soil using the FAO-56 method. Uses numba for faster and parallel calculation.
Arguments
=========
1. TEW: ``np.ndarray``
water capacity of evaporative layer
2. De: ``np.ndarray``
depletion of evaporative layer
3. REW: ``np.ndarray``
fixed readily evaporable water
Returns
=======
1. Kr: ``np.ndarray``
Kr coefficient
"""
# Return Kr
return np.maximum(np.float32(0), np.minimum((TEW - De) / (TEW - REW), np.float32(1)))
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_Ks(Dr: np.ndarray, TAW: np.ndarray, p: np.ndarray, E0: np.ndarray, Tr0: np.ndarray) -> np.ndarray:
"""
Calculate Ks coefficient after day 1. Uses numba for faster and parallel calculation.
Arguments
=========
1. Dr: ``np.ndarray``
depletion of the root layer
2. TAW: ``np.ndarray``
water capacity of the root layer
3. p: ``np.ndarray``
fraction of TAW available for plant without inducing stress
4. E0: ``np.ndarray``
surface evaporation of previous day
5. Tr0: ``np.ndarray``
plant transpiration of previous day
Returns
=======
1. Ks: ``np.ndarray``
Ks coefficient
"""
# Return Ks
# * Equation: Ks = min((TAW - Dr) / (TAW * (1 - (p + 0.04 * (5 - (E0 + Tr0))))), 1)
return np.minimum((TAW - Dr) / (TAW * (np.float32(1) - (p + 0.04 * (np.float32(5) - (E0 + Tr0))))), np.float32(1)).astype(np.float32)
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], int16[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_irrig(Dr: np.ndarray, TAW: np.ndarray, p: np.ndarray, Rain: np.ndarray, Kcb: np.ndarray, Irrig_auto: np.ndarray, Kcb_stop_irrig: np.ndarray, E0: np.ndarray, Tr0: np.ndarray) -> np.ndarray:
"""
Calculate automatic irrigation after day one. Uses numba for faster and parallel calculation.
Arguments
=========
1. Dr: ``np.ndarray``
depletion of the root layer
2. TAW: ``np.ndarray``
water capacity of the root layer
3. p: ``np.ndarray``
fraction of TAW available for plant without inducing stress
4. Rain: ``np.ndarray``
precipitation of the current day
5. Kcb: ``np.ndarray``
crop coefficient value
6. Irrig_auto: ``np.ndarray``
parameter for automatic irrigation
7. Kcb_stop_irrig: ``np.ndarray``
Kcb threshold to stop irrigation
8. E0: ``np.ndarray``
surface evaporation of previous day
9. Tr0: ``np.ndarray``
plant transpiration of previous day
Returns
=======
1. Irrig: ``np.ndarray``
simulated irrigation for the current day
"""
# First step
Irrig = Irrig_auto * np.maximum(Dr - Rain, np.float32(0))
return np.where((Dr > TAW * (p + 0.04 * (np.float32(5) - (E0 + Tr0)))) & (Kcb > np.maximum(Kcb, np.float32(1)) * Kcb_stop_irrig), Irrig, np.float32(0))
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def calculate_Te(De: np.ndarray, Dr: np.ndarray, Ks: np.ndarray, Kcb: np.ndarray, Ze: np.ndarray, Zr: np.ndarray, TEW: np.ndarray, TAW: np.ndarray, ET0: np.ndarray) -> np.ndarray:
"""
Calculate Te (root uptake of water) coefficient for current day. Uses numba for faster and parallel calculation.
Arguments
=========
1. De: ``np.ndarray``
depletion of the evaporative layer
2. Dr: ``np.ndarray``
depletion of the roor layer
3. Ks: ``np.ndarray``
stress coefficient
4. Kcb: ``np.ndarray``
crop coefficient
5. Ze: ``np.ndarray``
height of the evaporative layer
6. Zr: ``np.ndarray``
heigh of the root layer
7. TEW: ``np.ndarray``
water capacity of the evaporative layer
8. TAW: ``np.ndarray``
water capacity of the root layer
9. ET0: ``np.ndarray``
reference evapotranspiration
Returns
=======
1. Te: ``np.ndarray``
Te coefficient
"""
# * Equation: Kt = min( ((Ze / Zr)**0.6) * (1 - De/TEW) / max(1 - Dr / TAW, 0.01), 1)
# * Equation: Te = Kt * Ks * Kcb * ET0
return (np.minimum(((Ze / Zr)**0.6) * (np.float32(1) - De / TEW) / np.maximum(np.float32(1) - Dr / TAW, 0.001), np.float32(1)) * Ks * Kcb * ET0).astype(np.float32)
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def update_De_from_Diff(De : np.ndarray, few: np.ndarray, Ke: np.ndarray, Te: np.ndarray, Diff_re: np.ndarray, TEW: np.ndarray, ET0: np.ndarray) -> np.ndarray:
"""
Last update step for Dei and Dep depletions. Uses numba for faster and parallel calculation.
Arguments
=========
1. De: ``np.ndarray``
Dei or Dep, depletion of the evaporative layer
2. few: ``np.ndarray``
fewi or fewp, soil fraction which is wetted by
irrigation or precipitation and exposed to evaporation
3. Ke: ``np.ndarray``
Kei or Kep, evaporation coefficient for soil fraction
irrigated or rainfed and exposed to evaporation
4. Te: ``np.ndarray``
root uptake of water
5. Diff_re: ``np.ndarray``
dffusion between the root and evaporation layers
6. TEW: ``np.ndarray``
water capacity of the evaporative layer
7. ET0: ``np.ndarray``
reference evapotranspiration of the current day
Returns
=======
De: ``np.ndarray``
updated Dei or Dep
"""
# Update Dei and Dep depletions
# * Equation: De = where(few > 0, min(max(De + ET0 * Ke / few + Te - Diff_re, 0), TEW), min(max(De + Te - Diff_re, 0), TEW))
return np.where(few > np.float32(0), np.minimum(np.maximum(De + ET0 * Ke / few + Te - Diff_re, np.float32(0)), TEW), np.minimum(np.maximum(De + Te - Diff_re, np.float32(0)), TEW))
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def update_Dr_from_root(Wfc: np.ndarray, Wwp: np.ndarray, Zr: np.ndarray, Zsoil: np.ndarray, Dr0: np.ndarray, Dd0: np.ndarray, Zr0: np.ndarray) -> np.ndarray:
"""
Return the updated depletion for the root layer. Uses numba for faster and parallel calculation.
Arguments
=========
1. Wfc: ``np.ndarray``
field capacity
2. Wwp: ``np.ndarray``
field wilting point
3. Zr: ``np.ndarray``
root depth for current day
4. Zsoil: ``np.ndarray``
total soil depth (parameter)
5. Dr0: ``np.ndarray``
depletion of the root layer for previous day
6. Dd0: ``np.ndarray``
depletion of the deep laye for previous day
7. Zr0: ``np.ndarray``
root layer height for previous day
Returns
=======
1. output: ``np.ndarray``
updated depletion for the root layer
"""
# Temporary variables to make calculation easier to read
tmp1 = np.maximum(Dr0 + Dd0 * ((Wfc - Wwp) * (Zr - Zr0)) / ((Wfc - Wwp) * (Zsoil - Zr0)), np.float32(0))
tmp2 = np.maximum(Dr0 + Dr0 * ((Wfc - Wwp) * (Zr - Zr0)) / ((Wfc - Wwp) * Zr0), np.float32(0))
# Return updated Dr
return np.where(Zr > Zr0, tmp1, tmp2)
@njit((float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:], float32[:,:]), nogil = True, parallel = True, fastmath = True)
def update_Dd_from_root(Wfc: np.ndarray, Wwp: np.ndarray, Zr: np.ndarray, Zsoil: np.ndarray, Dr0: np.ndarray, Dd0: np.ndarray, Zr0: np.ndarray) -> np.ndarray:
"""
Return the updated depletion for the deep layer. Uses numba for faster and parallel calculation.
Arguments
=========
1. Wfc: ``np.ndarray``
field capacity
2. Wwp: ``np.ndarray``
field wilting point
3. Zr: ``np.ndarray``
root depth for current day
4. Zsoil: ``np.ndarray``
total soil depth (parameter)
5. Dr0: ``np.ndarray``
depletion of the root layer for previous day
6. Dd0: ``np.ndarray``
depletion of the deep laye for previous day
7. Zr0: ``np.ndarray``
root layer height for previous day
Returns
=======
1. output: ``np.ndarray``
updated depletion for the deep layer
"""
# Temporary variables to make calculation easier to read
tmp1 = np.maximum(Dd0 - Dd0 * ((Wfc - Wwp) * (Zr - Zr0)) / ((Wfc - Wwp) * (Zsoil - Zr0)), np.float32(0))
tmp2 = np.maximum(Dd0 - Dr0 * ((Wfc - Wwp) * (Zr - Zr0)) / ((Wfc - Wwp) * Zr0), np.float32(0))
# Return updated Dd
return np.where(Zr > Zr0, tmp1, tmp2)
def calculate_memory_requirement(x_size: int, y_size: int, time_size: int, nb_inputs: int, nb_outputs: int, nb_variables: int, nb_params: int, nb_bits: int) -> float:
"""
Calculate memory requirement (GiB) of calculation if all datasets where loaded in memory.
Used to determine how to divide the datasets in times chunks for more efficient I/O
operations.
Arguments
=========
1. x_size: ``int``
x size of dataset
2. y_size: ``int``
y size of dataset
3. time_size: ``int``
number of time bands
4. nb_inputs: ``int``
number of input variables
5. nb_outputs: ``int``
number of ouput variables
6. nb_variables: ``int``
number of calculation variables
7. nb_params: ``int``
number of raster parameters
8. nb_bits: ``int``
number of bits of datatype
Returns
=======
1. total_memory_requirement: ``float``
calculation memory requirement in GiB
"""
# Memory requirement of input datasets
input_memory_requirement = (x_size * y_size * time_size * nb_inputs * nb_bits) / (1024**3)
# Memory requirement of calculation variables
calculation_memory_requirement = (x_size * y_size * (nb_params + nb_variables) * nb_bits) / (1024**3)
# Memory requirement of output datasets
output_memory_requirement = (x_size * y_size * time_size * nb_outputs * nb_bits) / (1024**3)
# Total memory requirement
total_memory_requirement = input_memory_requirement + calculation_memory_requirement + output_memory_requirement
return total_memory_requirement
def calculate_time_slices_to_load(memory_requirement: float, time_size: int, security_factor: float, available_ram: int) -> Tuple[int, int, bool]:
"""
Calculate how many time slices to load in memory (for input and output data)
based on available ram and calculation requirements.
Arguments
=========
1. memory_requirement: ``float``
amount of memory needed if whole input/output
datasets would ne loaded.
2. time_size: ``int``
number of time slices in datasets
3. security_factor: ``float``
float between 0 and 1 to adjust memory requirements
4. available_ram: ``int``
available ram for computation in GiB
Returns
=======
1. time_slice: ``int``
number of times slices to load for
input and output data
2. remainder_to_load: ``int``
remainder of euclidian division for
the number of time slices to load
(last block of data to load)
3. already_loaded: ``bool``
used to know wheather data has been loaded
when the whole time values fit in memory, not
used otherwise
"""
# Possible division factors
division_factors = [1, 2, 3, 4, 8, 16, 32, 64, 128, 256]
# Determine the time slice to load
for scale in division_factors:
if memory_requirement / scale < security_factor * available_ram:
if scale == 1:
time_slice = time_size
remainder_to_load = None
already_loaded = False
return time_slice, remainder_to_load, already_loaded
else:
time_slice = time_size // scale
remainder_to_load = time_size % time_slice
already_loaded = None
return time_slice, remainder_to_load, already_loaded
# If dataset is to big, load only one time slice per loop
time_slice = 1
remainder_to_load = 1 # in order to correctly save last date
already_loaded = None
return time_slice, remainder_to_load, already_loaded
def get_empty_arrays(x_size: int, y_size: int, time_size: int, nb_arrays: int, list: bool = False) -> Tuple[np.ndarray, np.ndarray, np.ndarray, np.ndarray, np.ndarray, np.ndarray]:
"""
Short function to make the `run_samir()` function easier to read.
Generates a varying number (`nb_arrays`) of empty numpy arrays of shape
`(x_size, y_size, time_size)` in list or tuple mode. Used to
store variable values before writing in in the output file.
Arguments
=========
1. x_size: ``int``
x size of dataset
2. y_size: ``int``
y size of dataset
3. time_size: ``int``
number of time bands
4. nb_arrays: ``int``
number of arrays to generate
5. list: ``bool`` ``default = False``
weather to return a tuple or a list
Returns
=======
output: ``Tuple[np.ndarray * nb_arrays]`` or ``List[np.ndarray * nb_arrays]``
output empty arrays
"""
# Return empty arrays into a list
if list:
return [np.zeros((x_size, y_size, time_size), dtype = np.float32) for k in range(nb_arrays)]
# Return empty arrays into a tuple
return tuple([np.zeros((x_size, y_size, time_size), dtype = np.float32) for k in range(nb_arrays)])
# @profile # type: ignore
def read_inputs(ndvi_cube_path: str, weather_path: str, i: int, time_slice: int, load_all: bool = False) -> Tuple[np.ndarray, np.ndarray, np.ndarray]:
"""
Read input data into numpy arrays based on loop conditions
Arguments
=========
1. ndvi_cube_path: ``str``
path of input NDVI file
2. weather_path: ``str``
path of input weather file
3. i: ``int``
current loop counter
4. time_slice: ``int``
number of time slices to load
5. load_all: ``bool`` ``default = False``
boolean to load the whole datasets
Returns
=======
1. NDVI: ``np.ndarray``
scaled NDVI values into numpy array
2. Rain: ``np.ndarray``
scaled Rain values into numpy array
3. ET0: ``np.ndarray``
scaled ET0 values into numpy array
"""
# Load whole dataset
if load_all:
with nc.Dataset(ndvi_cube_path, mode='r') as ds:
# Dimensions of ndvi dataset : (time, y, x)
NDVI = np.asarray(ds.variables['NDVI'][:, :, :] / 255, dtype = np.float32)
with nc.Dataset(weather_path, mode='r') as ds:
# Dimensions of ndvi dataset : (time, x, y)
Rain = np.asarray(ds.variables['Rain'][:, :, :] / 100, dtype = np.float32)
ET0 = np.asarray(ds.variables['ET0'][:, :, :] / 1000, dtype = np.float32)
# Load given number of time slices
else:
with nc.Dataset(ndvi_cube_path, mode='r') as ds:
# Dimensions of ndvi dataset : (time, y, x)
NDVI = np.asarray(ds.variables['NDVI'][i: i + time_slice, :, :] / 255, dtype = np.float32)
with nc.Dataset(weather_path, mode='r') as ds:
# Dimensions of ndvi dataset : (time, x, y)
Rain = np.asarray(ds.variables['Rain'][i: i + time_slice, :, :] / 100, dtype = np.float32)
ET0 = np.asarray(ds.variables['ET0'][i: i + time_slice, :, :] / 1000, dtype = np.float32)
return NDVI, Rain, ET0
def write_outputs(save_path: str, DP: np.ndarray, SWCe: np.ndarray, SWCr: np.ndarray, E: np.ndarray, Tr: np.ndarray, Irrig: np.ndarray, additional_outputs: dict, additional_outputs_data: List[np.ndarray], i: int, time_slice: int, write_all = False) -> None:
"""
Write outputs to netcdf file based on conditions of current loop.
Arguments
=========
1. save_path: ``str``
output netcdf save path
2. DP: ``np.ndarray``
deep percolaton ``np.ndarray``
3. SWCe: ``np.ndarray``
soil water content of evaporative layer ``np.ndarray``
4. SWCr: ``np.ndarray``
soil water content of root layer ``np.ndarray``
5. E: ``np.ndarray``
surface evaporation ``np.ndarray``
6. Tr: ``np.ndarray``
plant transpiration ``np.ndarray``
7. Irrig: ``np.ndarray``
simulated irrigation ``np.ndarray``
8. additional_outputs: ``dict``
dictionnary containing additional outputs and their scale factors
9. additional_outputs_data: ``List[np.ndarray]``
list of additional output ``np.ndarray``. Is ``None`` if no additional ouputs
10. i: ``int``
current loop counter
11. time_slice: ``int``
number of loaded time slices
12. write_all: ``bool`` ``default = False``
weather to write the whole output dataset
Returns
=======
``None``
"""
# Write whole output dataset
if write_all:
with nc.Dataset(save_path, mode='r+') as outputs:
# Dimensions of output dataset : (x, y, time)
# Deep percolation
outputs.variables['DP'][:, :, :] = np.round(DP * 100)
# Soil water content of the evaporative layer
outputs.variables['SWCe'][:, :, :] = np.round(SWCe * 1000)
# Soil water content of the root layer
outputs.variables['SWCr'][:, :, :] = np.round(SWCr * 1000)
# Evaporation
outputs.variables['E'][:, :, :] = np.round(E * 1000)
# Transpiration
outputs.variables['Tr'][:, :, :] = np.round(Tr * 1000)
# Irrigation
outputs.variables['Irr'][:, :, :] = np.round(Irrig * 100)
# Additionnal outputs
if additional_outputs:
k = 0
for var, scale in zip(additional_outputs.keys(), additional_outputs.values()):
outputs.variables[var][:, :, :] = np.round(additional_outputs_data[k][:,:,:] * scale)
k+=1
else:
# Write given number of time slices
with nc.Dataset(save_path, mode='r+') as outputs:
# Dimensions of output dataset : (x, y, time)
# Deep percolation
outputs.variables['DP'][:, :, i - time_slice + 1: i + 1] = np.round(DP * 100)
# Soil water content of the evaporative layer
outputs.variables['SWCe'][:, :, i - time_slice + 1: i + 1] = np.round(SWCe * 1000)
# Soil water content of the root layer
outputs.variables['SWCr'][:, :, i - time_slice + 1: i + 1] = np.round(SWCr * 1000)
# Evaporation
outputs.variables['E'][:, :, i - time_slice + 1: i + 1] = np.round(E * 1000)
# Transpiration
outputs.variables['Tr'][:, :, i - time_slice + 1: i + 1] = np.round(Tr * 1000)
# Irrigation
outputs.variables['Irr'][:, :, i - time_slice + 1: i + 1] = np.round(Irrig * 100)
# Additionnal outputs
if additional_outputs:
k=0
for var, scale in zip(additional_outputs.keys(), additional_outputs.values()):
outputs.variables[var][:, :, i - time_slice + 1: i + 1] = np.round(additional_outputs_data[k][:,:,:] * scale)
k+=1
return None
# @profile # type: ignore
def samir_daily(NDVI: np.ndarray, ET0: np.ndarray, Rain: np.ndarray, Wfc: np.ndarray, Wwp: np.ndarray, params: dict, Dr0: np.ndarray, Dd0: np.ndarray, Zr0: np.ndarray, E0: np.ndarray, Tr0: np.ndarray, Dei0: np.ndarray, Dep0: np.ndarray, iday: int) -> Tuple[np.ndarray]:
"""
Run the SAMIR model on a single day. Inputs and outputs are `numpy.ndarray`.
Calls functions compiled with numba for intermediary calculations.
Arguments
=========
1. NDVI: ``np.ndarray``
input NDVI
2. ET0: ``np.ndarray``
input ET0
3. Rain: ``np.ndarray``
input Rain
4. Wfc: ``np.ndarray``
field capacity
5. Wwp: ``np.ndarray``
field wilting point
6. params: ``dict``
dictionnary containing the rasterized
samir parameters and their scale factors
7. Dr0: ``np.ndarray``
previous day root layer depletion
8. Dd0: ``np.ndarray``
previous day deep layer depletion
9. Zr0: ``np.ndarray``
previous day root depth
10. E0: ``np.ndarray``
previous day surface evaporation
11. Tr0: ``np.ndarray``
previous day plant transpiration
12. Dei0: ``np.ndarray``
previous day surface layer depletion
for irrigation part
13. Dep0: ``np.ndarray``
previous day surface layer depletion
for precipitation part
14. iday: ``int``
current loop counter
Returns
=======
1. current_day_outouts: `Tuple[np.ndarray]`
multiple `numpy.ndarray` arrays are returned as a tuple for current day
"""
# Create aliases
DiffE_ = params['DiffE_']
DiffR_ = params['DiffR_']
FW_ = params['FW_']
FmaxFC_ = params['FmaxFC_']
Foffset_ = params['Foffset_']
Fslope_ = params['Fslope_']
Init_RU_ = params['Init_RU_']
Irrig_auto_ = params['Irrig_auto_']
Kcb_max_ = params['Kcb_max_']
Kslope_ = params['Kslope_']
Koffset_ = params['Koffset_']
Kcb_stop_irrig_ = params['Kcb_stop_irrig_']
REW_ = params['REW_'] # used in eval function to calculate Kri and Krp
Ze_ = params['Ze_']
Zsoil_ = params['Zsoil_']
maxZr_ = params['maxZr_']
minZr_ = params['minZr_']
p_ = params['p_']
s_DiffE = params['s_DiffE']
s_DiffR = params['s_DiffR']
s_FW = params['s_FW']
s_FmaxFC = params['s_FmaxFC']
s_Foffset = params['s_Foffset']
s_Fslope = params['s_Fslope']
s_Init_RU = params['s_Init_RU']
s_Kcb_max = params['s_Kcb_max']
s_Kslope = params['s_Kslope']
s_Koffset = params['s_Koffset']
s_Kcb_stop_irrig = params['s_Kcb_stop_irrig']
s_REW = params['s_REW'] # used in eval function to calculate Kri and Krp
s_Ze = params['s_Ze']
s_Zsoil = params['s_Zsoil']
s_maxZr = params['s_maxZr']
s_minZr = params['s_minZr']
s_p = params['s_p']
# Frequently used parameters
Ze = s_Ze * Ze_
FW = s_FW * FW_
# Update variables
# Fraction cover
# * Equation: Fslope * NDVI + Foffset
FCov = s_Fslope * Fslope_ * NDVI + s_Foffset * Foffset_
# * Equation: min(max(FCov, 0), FmaxFC)
FCov = np.minimum(np.maximum(FCov, 0, dtype = np.float32), s_FmaxFC * FmaxFC_, dtype = np.float32)
# Root depth upate
# * Equation: Zr = max(minZr + (FCov / FmaxFC) * (maxZr - minZr), Ze + 0.001)
Zr = np.maximum(s_minZr * minZr_ + (FCov / (s_FmaxFC * FmaxFC_)) * (s_maxZr * maxZr_ - s_minZr * minZr_), Ze + 0.001, dtype = np.float32)
# Water capacities
TAW = (Wfc - Wwp) * Zr
TDW = (Wfc - Wwp) * (s_Zsoil * Zsoil_ - Zr)
TEW = (Wfc - Wwp/2) * Ze
RUE = (Wfc - Wwp) * Ze
# Update depletions from root increase
if iday == 0:
Dei = RUE * (1 - s_Init_RU * Init_RU_)
Dep = RUE * (1 - s_Init_RU * Init_RU_)
Dr = TAW * (1 - s_Init_RU * Init_RU_)
Dd = TDW * (1 - s_Init_RU * Init_RU_)
else:
Dei = Dei0
Dep = Dep0
Dr = update_Dr_from_root(Wfc, Wwp, Zr, s_Zsoil * Zsoil_, Dr0, Dd0, Zr0)
Dd = update_Dd_from_root(Wfc, Wwp, Zr, s_Zsoil * Zsoil_, Dr0, Dd0, Zr0)
# Kcb
# * Equation: Kslope * NDVI + Koffset
Kcb = np.minimum(np.maximum(s_Kslope * Kslope_ * NDVI + s_Koffset * Koffset_, 0, dtype = np.float32), s_Kcb_max * Kcb_max_, dtype = np.float32)
# Irrigation
if iday == 0: # First day of simulation
Irrig = Irrig_auto_ * np.maximum(Dr - Rain, 0, dtype = np.float32)
Irrig = np.where((Dr > TAW * s_p * p_) & (Kcb > np.maximum(Kcb, np.float32(1)) * s_Kcb_stop_irrig * Kcb_stop_irrig_), Irrig, np.float32(0))
else:
Irrig = calculate_irrig(Dr, TAW, s_p * p_, Rain, Kcb, Irrig_auto_, s_Kcb_stop_irrig * Kcb_stop_irrig_, E0, Tr0)
# DP (Deep percolation)
DP = - np.minimum(Dd + np.minimum(Dr - Rain - Irrig, 0, dtype = np.float32), 0, dtype = np.float32)
# Update depletions with Rainfall and/or irrigation
# De
# * Equation: Dei = min(max(Dei - Rain - Irrig / FW, 0), TEW)
Dei = np.minimum(np.maximum(Dei - Rain - Irrig / FW, 0, dtype = np.float32), TEW, dtype = np.float32)
# * Equation: Dep = min(max(Dep - Rain - Irrig / FW, 0), TEW)
Dep = np.minimum(np.maximum(Dep - Rain, 0, dtype = np.float32), TEW, dtype = np.float32)
fewi = np.minimum(1 - FCov, FW, dtype = np.float32)
fewp = 1 - FCov - fewi
# * Equation: De = (Dei * fewi + Dep * fewp) / (fewi + fewp)
De = np.nansum([Dei * fewi, Dep * fewp], dtype = np.float32) / np.nansum([fewi, fewp], dtype = np.float32)
# * Equation: De = where(De.isfinite, De, Dei * FW + Dep * (1 - FW))
De = np.where(np.isfinite(De), De, Dei * FW + Dep * (1 - FW))
# Update depletions from rain and irrigation
Dr, Dd = np.minimum(np.maximum(Dr - Rain - Irrig, 0, dtype = np.float32), TAW, dtype = np.float32), np.minimum(np.maximum(Dd + np.minimum(Dr - Rain - Irrig, 0, dtype = np.float32), 0, dtype = np.float32), TDW, dtype = np.float32)
# Diffusion coefficients
# * Equation: check calculate_diff_re() and calculate_diff_dr functions
Diff_rei = calculate_diff_re(TAW, Dr, Zr, RUE, Dei, Wfc, Ze, s_DiffE * DiffE_)
Diff_rep = calculate_diff_re(TAW, Dr, Zr, RUE, Dep, Wfc, Ze, s_DiffE * DiffE_)
Diff_dr = calculate_diff_dr(TAW, TDW, Dr, Zr, Dd, Wfc, s_Zsoil * Zsoil_, s_DiffR * DiffR_)
# Water Stress coefficient
if iday == 0:
Ks = np.minimum((TAW - Dr) / (TAW * (1 - s_p * p_)), 1, dtype = np.float32)
else:
# When not first day
Ks = calculate_Ks(Dr, TAW, s_p * p_, E0, Tr0)
# Reduction coefficient for evaporation
# Create string expressions that are calculated later, uses less memory
W = calculate_W(TEW, Dei, Dep, fewi, fewp)
Kri = 'calculate_Kr(TEW, Dei, s_REW * REW_)'
Krp = 'calculate_Kr(TEW, Dep, s_REW * REW_)'
# * Equation: Kei = np.minimum(W * Kri * (Kcb_max - Kcb), fewi * Kcb_max)
Kei = np.minimum(W * eval(Kri) * (s_Kcb_max * Kcb_max_ - Kcb), fewi * s_Kcb_max * Kcb_max_, dtype = np.float32)
# * Equation: Kep = np.minimum((1 - W) * Krp * (Kcb_max - Kcb), fewp * Kcb_max)
Kep = np.minimum((1 - W) * eval(Krp) * (s_Kcb_max * Kcb_max_ - Kcb), fewp * s_Kcb_max * Kcb_max_, dtype = np.float32)
# Prepare coefficients for evapotranspiration
Tei = calculate_Te(Dei, Dr, Ks, Kcb, s_Ze * Ze_, Zr, TEW, TAW, ET0)
Tep = calculate_Te(Dep, Dr, Ks, Kcb, s_Ze * Ze_, Zr, TEW, TAW, ET0)
# Update depletions
Dei = update_De_from_Diff(Dei, fewi, Kei, Tei, Diff_rei, TEW, ET0)
Dep = update_De_from_Diff(Dep, fewp, Kep, Tep, Diff_rep, TEW, ET0)
# * Equation: De = (Dei * fewi + Dep * fewp) / (fewi + fewp)
De = np.nansum([Dei * fewi, Dep * fewp], dtype = np.float32) / np.nansum([fewi, fewp], dtype = np.float32)
# * Equation: De = where(De.isfinite, De, Dei * FW + Dep * (1 - FW))
De = np.where(np.isfinite(De), De, Dei * FW + Dep * (1 - FW))
# Evaporation
E = np.maximum((Kei + Kep) * ET0, 0, dtype = np.float32)
# Transpiration
Tr = Kcb * Ks * ET0
# Update depletions (root and deep zones) at the end of the day
Dr = np.minimum(np.maximum(Dr + E + Tr - Diff_dr, 0, dtype = np.float32), TAW, dtype = np.float32)
Dd = np.minimum(np.maximum(Dd + Diff_dr, 0, dtype = np.float32), TDW, dtype = np.float32)
# Soil water content of evaporative layer
# ? SWCe = 1 - De/TEW
SWCe = np.where((fewi + fewp) > 0, (TEW - (Dei * fewi + Dep * fewp) / (fewi + fewp)) / TEW, (TEW - (Dei + Dep) / 2) / TEW)
# Soil water content of root layer
SWCr = 1 - Dr/TAW
return DP, Dd, De, Dei, Dep, Diff_dr, Diff_rei, Diff_rep, Dr, E, FCov, Irrig, Kcb, Kei, Kep, Ks, RUE, SWCe, SWCr, TAW, TDW, TEW, Tei, Tep, Tr, W, Zr, fewi, fewp
# @profile # type: ignore
def run_samir(json_config_file: str, csv_param_file: str, ndvi_cube_path: str, weather_path: str, soil_params_path: str, land_cover_path: str, save_path: str, additional_outputs: dict = None, available_ram: int = 8) -> None:
# Turn off numpy warings
np.seterr(divide='ignore', invalid='ignore')
# Test if memory requirement is not loo large
if np.ceil(virtual_memory().available / (1024**3)) < available_ram:
print('\nRequested', available_ram, 'GiB of memory when available memory is approximately', round(virtual_memory().available / (1024**3), 1), 'GiB.\n\nExiting script.\n')
return None
# ============ General parameters ============ #
# TODO vr: config_params jamais utilisé...? ça viendra
config_params = config(json_config_file)
# ============ Manage inputs ============ #
# NDVI (to have a correct empty dataset structure)
ndvi_cube = xr.open_mfdataset(ndvi_cube_path, parallel=True)
# SAMIR Parameters
params = rasterize_samir_parameters(csv_param_file, land_cover_path)
# ============ Get size of dataset ============ #
x_size = ndvi_cube.dims['x']
y_size = ndvi_cube.dims['y']
time_size = ndvi_cube.dims['time']
# ============ Memory handling ============ #
# Check how much memory the calculation would take if all the inputs would be loaded in memory
# Unit is GiB
# Datatype of variables is float32 for calculation
nb_bits = 4 # float 32
nb_inputs = 3 # NDVI, Rain, ET0
if additional_outputs:
nb_outputs = 6 + len(additional_outputs) # DP, E, Irr, SWCe, SWCr, Tr
else:
nb_outputs = 6
nb_variables = 31 # calculation variables (e.g: Dd, Diff_rei, FCov, etc.)
security_factor = 0.8 # it is difficult to estimate true memory usage, apply a security factor to prevent memory overload
# Get memory requirement
total_memory_requirement = calculate_memory_requirement(x_size, y_size, time_size, nb_inputs, nb_outputs, nb_variables, len(params)/2, nb_bits)
# Determine how many time slices can be loaded in memory at once
# This will allow faster I/O operations and a faster runtime
time_slice, remainder_to_load, already_loaded = calculate_time_slices_to_load(total_memory_requirement, time_size, security_factor, available_ram)
print_size, print_unit = format_Byte_size(total_memory_requirement)
print('\nApproximate memory requirement of calculation:', print_size, print_unit, '\nAvailable memory:', available_ram, 'GiB\n\nLoading blocks of', time_slice, 'time bands.\n')
# ============ Prepare outputs ============ #
model_outputs = prepare_output_dataset(ndvi_cube.drop_vars(['NDVI']), additional_outputs=additional_outputs)
# Create encoding dictionnary
encoding_dict = {}
for variable in list(model_outputs.keys()):
# Write encoding dict
encod = {}
encod['dtype'] = 'i2'
# TODO: check if order of chunk size is correct
encod['chunksizes'] = (x_size, y_size, time_slice)
encoding_dict[variable] = encod
# Save empty output
print('Writing empty output dataset...\n')
model_outputs.to_netcdf(save_path, encoding = encoding_dict)
model_outputs.close()
# ============ Prepare time iterations ============#
dates = ndvi_cube.time.values
ndvi_cube.close()
# Set parameter to None if no additional outputs
if not additional_outputs:
additional_outputs_data = None
# input soil data
with nc.Dataset(soil_params_path, mode='r') as ds:
Wfc = np.asarray(ds.variables['Wfc'][:, :], dtype = np.float32)
Wwp = np.asarray(ds.variables['Wwp'][:, :], dtype = np.float32)
# ============ Time loop ============ #
# Create progress bar
progress_bar = tqdm(total=len(dates), desc='Running model', unit=' days')
for i in range(0, len(dates)):
# ============ Load input data and prepare output data ============ #
# Based on available memory and previous calculation of time slices to load,
# load a given number of time slices
if time_slice == time_size and not already_loaded: # if whole dataset fits in memory and it has not already been loaded
NDVI, Rain, ET0 = read_inputs(ndvi_cube_path, weather_path, i, time_slice, load_all = True)
already_loaded = True
write_remainder = False
# Prepare output data
# Standard outputs
DP, E, Irrig, SWCe, SWCr, Tr = get_empty_arrays(x_size, y_size, time_slice, 6)
# Additionnal outputs
if additional_outputs:
additional_outputs_data = get_empty_arrays(x_size, y_size, time_slice, len(additional_outputs), list = True)
elif i % time_slice == 0: # load a time slice every time i is divisible by the size of the time slice
if i + time_slice <= time_size: # if the time slice does not gow over the dataset size
NDVI, Rain, ET0 = read_inputs(ndvi_cube_path, weather_path, i, time_slice)
write_remainder = False
# Prepare output data
DP, E, Irrig, SWCe, SWCr, Tr = get_empty_arrays(x_size, y_size, time_slice, 6)
# Additionnal outputs
if additional_outputs:
additional_outputs_data = get_empty_arrays(x_size, y_size, time_slice, len(additional_outputs), list = True)
else: # load the remainder when the time slice would go over the dataset size
NDVI, Rain, ET0 = read_inputs(ndvi_cube_path, weather_path, i, remainder_to_load)
write_remainder = True
# Prepare output data
DP, E, Irrig, SWCe, SWCr, Tr = get_empty_arrays(x_size, y_size, remainder_to_load, 6)
# Additionnal outputs
if additional_outputs:
additional_outputs_data = get_empty_arrays(x_size, y_size, remainder_to_load, len(additional_outputs), list = True)
if i == 0:
Dei0, Dep0, Dr0, Dd0, E0, Tr0, Zr0 = np.float32(0), np.float32(0), np.float32(0), np.float32(0), np.float32(0), np.float32(0), np.float32(0)
DP[:,:, i % time_slice], Dd, De, Dei, Dep, Diff_dr, Diff_rei, Diff_rep, Dr, E[:,:, i % time_slice], FCov, Irrig[:,:, i % time_slice], Kcb, Kei, Kep, Ks, RUE, SWCe[:,:, i % time_slice], SWCr[:,:, i % time_slice], TAW, TDW, TEW, Tei, Tep, Tr[:,:, i % time_slice], W, Zr, fewi, fewp = samir_daily(NDVI[i % time_slice,:,:], ET0[i % time_slice], Rain[i % time_slice], Wfc, Wwp, params, Dr0, Dd0, Zr0, E0, Tr0, Dei0, Dep0, i)
# Collect additionnal outputs
if additional_outputs:
k = 0
for var in additional_outputs.keys():
additional_outputs_data[k][:,:, i % time_slice] = eval(var)
k+=1
# Update previous day values
Dei0, Dep0, Dr0, Dd0, E0, Tr0, Zr0 = Dei, Dep, Dr, Dd, E[:,:, i % time_slice], Tr[:,:, i % time_slice], Zr
# ============ Write outputs ============ #
# Based on available memory and previous calculation of time slices to load,
# Write a given number of time slices
if time_slice == time_size and i == time_size - 1: # if whole dataset fits in memory, write data at the end of the loop
write_outputs(save_path, DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs, additional_outputs_data, i, time_slice, write_all = True)
# Remove written data
del DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs_data
additional_outputs_data = None
elif (i % time_slice == time_slice - 1) and (remainder_to_load != None): # write a time slice every time i is divisible by the size of the time slice
write_outputs(save_path, DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs, additional_outputs_data, i, time_slice)
# Remove written data
del DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs_data
additional_outputs_data = None
elif i == time_size - 1 and write_remainder: # write the remainder when the time slice would go over the dataset size
write_outputs(save_path, DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs, additional_outputs_data, i, remainder_to_load)
# Remove written data
del DP, SWCe, SWCr, E, Tr, Irrig, additional_outputs_data
additional_outputs_data = None
# Update progress bar
progress_bar.update()
# Close progress bar
progress_bar.close()
print('\nWritting Output:', save_path, '\n')
return None