@@ -47,30 +47,31 @@ def __init__(self, method: str, available_methods: list):
4747
4848class CMethods :
4949 """
50- The CMethods class serves a collection of bias correction procedures to adjust
51- time-series of climate data.
52-
53- The following bias correction techniques are available:
54- Scaling-based techniques:
55- * Linear Scaling :func:`cmethods.CMethods.linear_scaling`
56- * Variance Scaling :func:`cmethods.CMethods.variance_scaling`
57- * Delta (change) Method :func:`cmethods.CMethods.delta_method`
58-
59- Distribution-based techniques:
60- * Quantile Mapping :func:`cmethods.CMethods.quantile_mapping`
61- * Detrended Quantile Mapping :func:`cmethods.CMethods.detrended_quantile_mapping`
62- * Quantile Delta Mapping :func:`cmethods.CMethods.quantile_delta_mapping`
63-
64- Except for the Variance Scaling all methods can be applied on both, stochastic and non-stochastic
65- variables. The Variance Scaling can only be applied on stochastic climate variables.
66-
67- Stochastic climate variables are those that are subject to random fluctuations
68- and are not predictable. They have no predictable trend or pattern. Examples of
69- stochastic climate variables include precipitation, air temperature, and humidity.
70-
71- Non-stochastic climate variables, on the other hand, have clear trend and pattern histories
72- and can be readily predicted. They are often referred to as climate elements and include
73- variables such as water temperature and air pressure.
50+ The CMethods class serves a collection of bias correction procedures to adjust
51+ time-series of climate data.
52+
53+ The following bias correction techniques are available:
54+ Scaling-based techniques:
55+ * Linear Scaling :func:`cmethods.CMethods.linear_scaling`
56+ * Variance Scaling :func:`cmethods.CMethods.variance_scaling`
57+ * Delta (change) Method :func:`cmethods.CMethods.delta_method`
58+
59+ Distribution-based techniques:
60+ * Quantile Mapping :func:`cmethods.CMethods.quantile_mapping`
61+ * Detrended Quantile Mapping :func:`cmethods.CMethods.detrended_quantile_mapping`
62+ * Quantile Delta Mapping :func:`cmethods.CMethods.quantile_delta_mapping`
63+
64+ Except for the Variance Scaling all methods can be applied on both, stochastic and non-stochastic
65+ variables. The Variance Scaling can only be applied on stochastic climate variables.
66+
67+ - Non-stochastic climate variables are those that can be predicted with relative certainty based
68+ on factors such as location, elevation, and season. Examples of non-stochastic climate variables
69+ include air temperature, air pressure, and solar radiation.
70+
71+ - Stochastic climate variables, on the other hand, are those that exhibit a high degree of
72+ variability and unpredictability, making them difficult to forecast accurately.
73+ Precipitation is an example of a stochastic climate variable because it can vary greatly in timing,
74+ intensity, and location due to complex atmospheric and meteorological processes.
7475 """
7576
7677 SCALING_METHODS = ["linear_scaling" , "variance_scaling" , "delta_method" ]
@@ -397,10 +398,10 @@ def linear_scaling(
397398
398399 **Additive**:
399400
400- In Linear Scaling, the long-term monthly mean (:math:`\mu_m`) of the modeled data :math:`T_ {sim,h}` is subtracted
401- from the long-term monthly mean of the reference data :math:`T_ {obs,h}` at time step :math:`i`.
402- This difference in month-dependent long-term mean is than added to the long-term monthly mean for time step :math:`i`,
403- in the time-series that is to be adjusted (:math:`T_ {sim,p}`).
401+ In Linear Scaling, the long-term monthly mean (:math:`\mu_m`) of the modeled data :math:`X_ {sim,h}` is subtracted
402+ from the long-term monthly mean of the reference data :math:`X_ {obs,h}` at time step :math:`i`.
403+ This difference in month-dependent long-term mean is than added to the value of time step :math:`i`,
404+ in the time-series that is to be adjusted (:math:`X_ {sim,p}`).
404405
405406 .. math::
406407
@@ -504,7 +505,7 @@ def variance_scaling(
504505 of the Variance Scaling approach are shown:
505506
506507 **(1)** First, the modeled data of the control and scenario period must be bias-corrected using
507- the Linear Scaling technique. This corrects the deviation in the mean.
508+ the additive linear scaling technique. This adjusts the deviation in the mean.
508509
509510 .. math::
510511
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