Characterization of drought
across climatic spectrum


Victor M. Ponce

Abridged version 210223

[Original version 2000]



A conceptual model of drought characterization across the climatic spectrum is formulated. The model is particularly suited to subtropical and midlatitudinal regions. Drought duration, intensity, and recurrence interval are expressed in terms of the ratio of mean annual precipitation to annual global terrestrial precipitation. The model is useful as a framework for the systematic analysis of droughts and the assessment of changes in drought characteristics due to climatic changes.


1.  INTRODUCTION

A drought at a given location or region is a period of time, lasting weeks months, or years, during which the actual moisture supply consistently falls short of the climatically expected moisture supply. Droughts are better documented in semiarid and subhumid regions, where humans tend to concentrate. Drought data in extremely arid regions is scant, since very few people are actually affected. Likewise, droughts in very humid regions go largely unnoticed, since the supply of water usually exceeds the actual demand. Here, the writers relate drought characteristics to climatic parameters across the climatic spectrum. The latter is defined in terms of mean annual precipitation and cross-referenced to annual potential evapotranspiration.

Coping with droughts is possible through proper forecasting and planning. To reduce the impact of drought, it is necessary to develop the capability to forecast its characteristics, i.e., its duration (How long will it last?), its intensity (How severe will it be?), and its recurrence interval (How often will it recur?).


2.  THE CLIMATIC SPECTRUM

Droughts are cyclical and regional in nature; their occurrence is related to prevailing climatic parameters. A readily available climatic parameter is mean annual precipitation, which depends on: (1) latitude; (2) orographic factors; (3) mesoscale ocean currents; (4) atmospheric wind circulation; (5) proximity to oceans and large lakes; (6) atmospheric pressure; (7) character of the Earth's surface, including color and texture; and (8) presence of atmospheric particulates, both natural and human-induced. Closely related to mean annual precipitation is annual potential evapotranspiration, which is a function of: (1) net solar radiation: (2) vapor-pressure deficit; (3) surface roughness; and (4) leaf-area index.

For our purposes, the writers define the climatic spectrum solely in terms of mean annual precipitation, an approach that is particularly useful for subtropical and midlatitudinal regions. The writers characterize the climatic spectrum in terms of the ratio of mean annual precipitation Pma to annual global terrestrial precipitation Pagt.

The amount of moisture stored in the atmosphere is a function of latitude and climate, varying typically from 2-15 mm in polar and arid regions to 45-50 mm in humid regions (World 1978). A global terrestrial mean value of 25 mm is assumed for the purpose of estimating annual global terrestrial precipitation. The atmospheric moisture recycles every eleven days on the average, for a total of 33 cycles per year, which results in the annual global terrestrial precipitation Pagt = 825 mm. Here, the writers assume a round number, Pagt = 800 mm.

Globally, the middle of the climatic spectrum, i.e., the division between semiarid and subhumid climates, corresponds to Pma /Pagt = 1. Regions with Pma /Pagt < 1 have less-than-average moisture; conversely, regions with Pma /Pagt > 1 have greater-than-average moisture. Mean annual terrestrial precipitation varies typically in the range of 100-6400 mm, with a few isolated cases falling outside this range. This enables the division of the climatic spectrum in subtropical and midlatitudinal regions into the following eight types:

  1. Superarid, with Pma /Pagt < 0.125

  2. Hyperarid, with 0.125 ≤ Pma /Pagt < 0.25

  3. Arid, with 0.25 ≤ Pma /Pagt < 0.5

  4. Semiarid, with 0.5 ≤ Pma /Pagt < 1

  5. Subhumid, with 1 ≤ Pma /Pagt < 2

  6. Humid, with 2 ≤ Pma /Pagt < 4

  7. Hyperhumid, with 4 ≤ Pma /Pagt < 8

  8. Superhumid, with Pma /Pagt ≥ 8

Table 1 shows the climate types with mean annual precipitation Pma and corresponding Pma /Pagt ratios. To determine suitable Eap /Pma ratios, the writers have approximately estimated potential evapotranspiration across the climatic spectrum, for subtropical and midlatitudinal regions. For instance, the writers estimate Eap = 3,000 mm at the limit between superarid and hyperarid regions. Corresponding estimates for other regions led to the Eap /Pma ratios shown in Table 1.

TABLE 1.  Conceptual model of drought characterization across the climatic spectrum.
(1) (2) (3) (4) (5) (6) (7) (8)
Climatic Spectrum
Climatic type Super-
arid
Hyper-
arid
Arid
Semi-
arid
Sub-
humid
Humid
Hyper-
humid
Super-
humid
Mean annual precipitation Pma (mm) 100 200 400 800 1600 3200 6400
Pma /Pagt 0.125 0.25 0.5 1 2 4 8
Annual potential evapotranspiration Eap (mm) 3000 2400 2000 1600 1200 1200 1200
Eap /Pma 30 12 5 2 0.75 0.375 0.1875
Length of rainy season L (mo) 1 2 3 4 6 9 12
Drought Characteristics
Duration (yr) 1 2 4 6 4 2 1
Intensity (dimensionless)
Moderate 0.25 0.5 1.0 1.5 1.0 0.5 0.25
Severe 0.5 1.0 2.0 3.0 2.0 1.0 0.5
Extreme 0.75 1.5 3.0 4.5 3.0 1.5 0.75
Recurrence interval (yr) 2 3 6 12 25 50 100
Note:   Pagt = annual global terrestrial precipitation.


3.  CONCEPTUAL MODEL OF DROUGHT CHARACTERIZATION

Our conceptual model deals specifically with meteorological droughts lasting at least one year, with an emphasis on subtropical and midlatitudinal regions. Persistence is the property of a drought event to last more than one year. For a given drought event, intensity refers to the extent of the precipitation deficit. To determine drought intensity, the moisture deficiency is accumulated over the drought duration. Therefore, the longer the duration, the greater the intensity. Since dry periods are generally followed by corresponding wet periods, it follows that the recurrence interval is always greater than the duration. Thus, for meteorological droughts lasting at least one year, the recurrence interval is at least two years.

A conceptual model works in the mean: i.e., it describes general trends and not necessarily specific events. It is meant to aggregate the deterministic and stochastic components of the precipitation anomalies. Its value is that it provides a conceptual framework for interpreting the regional variability of drought phenomena.

Given a drought year with precipitation P where P < Pma, the precipitation deficiency may be classified into three types: (1) moderate, with P/Pma = 0.75; (2) severe, with P/Pma = 0.5; and (3) extreme, with P/Pma = 0.25. The writers define drought intensity as the ratio of the deficit (Pma - P ) to the mean (Pma). For a drought lasting more than one year, intensity is defined as the summation of the annual intensities:

                Pma - P            
I  =    __________
                  Pma      
(1)

in which I = drought-intensity index.

Therefore, average annual drought intensity is the total drought intensity divided by the duration.

The writers base their conceptual model of drought characterization on the following premises, amply supported by observations:

  1. Drought duration varies across the climatic spectrum, reaching a maximum around the middle and decreasing toward the extremes.

  2. Since drought intensity is directly related to duration, intensity also reaches a maximum around the middle of the climatic spectrum and decreases toward the extremes.

  3. The drought recurrence interval increases gradually from the dry to the wet side of the climatic spectrum.

Table 1 summarizes the writers' conceptual model of drought characterization. For drought duration, the expected values vary between 1 and 6 years, with larger values toward the middle of the climatic spectrum (6 years), decreasing toward either extreme (1 year). The longer durations toward the middle of the climatic spectrum are due to greater interannual precipitation variability within the semiarid and subhumid regions. Within these regions, drought duration is likely to be the longest, approaching 4-6 years. The shorter durations toward both extremes of the climatic spectrum are justified because of smaller interannual precipitation variability. In superarid regions, variability is reduced because the precipitation amounts are small; in superhumid regions. variability is reduced because of the length of the rainy season, which approaches 12 months.

The drought recurrence interval varies between 2 years on the extreme dry side and about 100 years on the extreme wet side, increasing in an approximate geometric progression. Since recurrence interval decreases from wet to dry climates, and since it must always exceed duration, it follows that duration must decrease toward the dry side of the climatic spectrum (Table 1). Thus, in hyperarid regions, droughts are short and recur once every 2-3 years; in semiarid and subhumid regions, droughts are long and recur once every 6-25 years; in hyperhumid regions, droughts are short and recur once every 50-100 years.


4.  SUMMARY

Drought duration varies between 1 and 6 years across the climatic spectrum, and reaches a maximum toward the middle. Intensity varies directly with duration, and recurrence interval increases approximately in a geometric progression, from 2 years on the extreme dry side to about 100 years on the extreme wet side.


210223 06:15

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