Palmer Drought Severity Index (PDSI) and Palmer Z-Index

Example map of Palmer drought severity index (PDSI) for July 14, 2023 from GridMET DROUGHT climate reanalysis dataset.

Description

One of the first and most highly used drought indices is the Palmer drought severity index (PDSI; Palmer 1965), which is based on a simplified soil water balance and is a measure of the departure of average soil moisture conditions. Instead of the typical parameterization of PDSI using Thornthwaite temperature only based potential ET, we utilize more physically based Penman-Monteith reference ET, which is a function of solar radiation, temperature, humidity and windspeed. A PDSI value between -.5 and 0.5 represents near normal soil moisture conditions, with positive/negative values representing wet/dry conditions. The magnitude of PDSI gives an indication as to the severity of the departure from normal conditions. PDSI> 4 represents very wet conditions, while PDSI<-4 represents an extreme drought. 

PDSI and Z are calculated using a modified version of the Palmer formula, which uses reference evapotranspiration and precipitation from gridMET, and a static soil water holding capacity layer (top 1500mm) from STATSGO. The Z-index is calculated using non-overlapping 6-pentad (30-day) blocks of precipitation and potential ET. To compute the pentad PDSI, the authors apply modifications to the standard PDSI equations similar to Rhee et al. 2007. First, the Z-index is divided by 6 given the differences between a ~30-day month and a 5-day pentad. Second, the coefficient of the drought severity equation is modified as X(i)=0.9828*X(i-1)+Z/3; and modified effective wetness/dryness accordingly to scale for differences between the timescales. The baseline period for PDSI and Z calculations is 1979-2018. Given the non-standard nature of the calculations, the pentad PDSI and Z-index are experimental.

This PDSI uses a new methodology for sub-monthly PDSI, based on the methodology outlined in Rhee, J., and G. J. Carbone. 2007. "A Comparison of Weekly Monitoring Methods of the Palmer Drought Index." Journal of Climate, 20(24): 6033-6044. 

References

Palmer, W. C., 1965, Meteorological drought. U.S. Department of Commerce Weather Bureau Research Paper 45, 58 pp.

Rhee, J., and G. J. Carbone. 2007. "A Comparison of Weekly Monitoring Methods of the Palmer Drought Index." Journal of Climate, 20(24): 6033-6044. 

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