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The relationship of drought frequency and duration to time scales

TLDR
The definition of drought has continually been a stumbling block for drought monitoring and analysis as mentioned in this paper, mainly related to the time period over which deficits accumulate and to the connection of the deficit in precipitation to deficits in usable water sources and the impacts that ensue.
Abstract
1.0 INTRODUCTION Five practical issues become important in any analysis of drought. These include: 1) time scale, 2) probability, 3) precipitation deficit, 4) application of the definition to precipitation and to the five water supply variables, and 5) the relationship of the definition to the impacts of drought. Frequency, duration and intensity of drought all become functions that depend on the implicitly or explicitly established time scales. Our experience in providing drought information to a collection of decision makers in Colorado is that they have a need for current conditions expressed in terms of probability, water deficit, and water supply as a percent of average using recent climatic history (the last 30 to 100 years) as the basis for comparison. No single drought definition or analysis method has emerged that addresses all these issues well. Of the variety of definitions and drought monitoring methods used in the past, by far the most widely used in the United States is the Palmer Drought Index (Palmer, 1965), but its weaknesses (Alley, 1984) frequently limit its wise application. For example, time scale is not defined for the Palmer Index but does inherently exist. The definition of drought has continually been a stumbling block for drought monitoring and analysis. Wilhite and Glantz (1985) completed a thorough review of dozens of drought definitions and identified six overall categories: meteorological, climatological, atmospheric, agricultural, hydrologic and water management. Dracup et al. (1980) also reviewed definitions. All points of view seem to agree that drought is a condition of insufficient moisture caused by a deficit in precipitation over some time period. Difficulties are primarily related to the time period over which deficits accumulate and to the connection of the deficit in precipitation to deficits in usable water sources and the impacts that ensue.

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References
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Understanding: the Drought Phenomenon: The Role of Definitions

TL;DR: In this paper, the authors discuss the role of definitions in the understanding of the Drought Phenomenon: The Role of Definitions and the Role of Water International: Vol. 10, No. 3, pp. 111-120.
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The Palmer Drought Severity Index: Limitations and Assumptions

TL;DR: The structure of the Palmer Drought Severity Index (PDSI) is examined in this article, which is perhaps the most widely used regional index of drought, and the results show that the distribution of the PDSI conditioned on the value for the previous month may often be bimodal.
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On the definition of droughts

TL;DR: In this article, the authors proposed a method for developing a practical, analytical definition of droughts based on the characteristics of the water deficit to be studied (hydrological, meteorological, or agricultural), selection of the averaging period used to discretize a continuous time series (months, seasons, or years), and the truncation level used to separate drough events from the remainder of the time series.
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Large-Scale Droughts/Floods and Monsoon Circulation

TL;DR: In this paper, an objective numerical drought index based on monthly monsoon rainfall and duration has been developed for assessment of drought intensity, which serves the dual purpose of assessing the intensity of drought as well as flood.
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Spatial patterns of multiple drought types in the contiguous United States: a seasonal comparison

Peter T. Soulé
- 01 Jan 1990 - 
TL;DR: This paper examined spatial patterns of drought in the contiguous United States on a seasonal basis using four measures of drought severity data used include the Palmer Moisture Anomaly Index (ZINX), Palmer Drought Severity Index (PDSI), Palmer Hydrologic Drought Index (PHDI), and standardized scores of monthly precipitation (PREZ), for the period 1931 to 1985 Principal components analysis and a VARIMAX rotation are used to search for spatially coherent drought regions, i.e. clusters of climatic divisions that experienced similar moisture conditions during the study period.
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