diff --git a/docs/Users_Guide/difficulty_index.rst b/docs/Users_Guide/difficulty_index.rst index d5f0d48c..1c0e8cfa 100644 --- a/docs/Users_Guide/difficulty_index.rst +++ b/docs/Users_Guide/difficulty_index.rst @@ -39,13 +39,13 @@ threshold. So it penalizes the split case, where the ensemble members are close either side of the threshold. The A term outside the brackets is a weighting to account for heuristic forecast difficulty situations. Its values for winds are given below. - .. math :: A = 0 if \bar{x} is above 50kt - .. math :: A = 0 if \bar{x} is below 5kt - .. math :: A = 1.5 if \bar{x} is between 28kt and 34kt - .. math :: \text{A} = 1.5 - 1.5[\frac{\bar{x}(kt)-34kt}{16kt}] for 34kt\leq\bar{x}\leq 50kt - .. math :: \text{A} = 1.5[\frac{\bar{x}(kt)-5kt}{23kt}] for 5kt\leq\bar{x}\leq 28kt + .. math :: A = 0 if \bar{x} is above 50kt + .. math :: A = 0 if \bar{x} is below 5kt + .. math :: A = 1.5 if \bar{x} is between 28kt and 34kt + .. math :: \text{A} = 1.5 - 1.5[\frac{\bar{x}(kt)-34kt}{16kt}] for 34kt\leq\bar{x}\leq 50kt + .. math :: \text{A} = 1.5[\frac{\bar{x}(kt)-5kt}{23kt}] for 5kt\leq\bar{x}\leq 28kt - .. image:: figure/weighting_wave_hgt_difficulty_index.png + .. image:: figure/weighting_wave_hgt_difficulty_index.png The weighting ramps up to a value 1.5 for a value of :math:`x` that is slightly below the threshold. This accounts for the notion that a forecast is more difficult when it is slightly below the threshold