Thornthwaite Climatic Classification – UPSC

  • Thornthwaite’s classification grades climates by how effective precipitation and heat are for plants, not by their raw amounts.
  • It was devised by the American climatologist Charles Warren Thornthwaite (1899–1963): a vegetation-based scheme for North America in 1931, extended to the world in 1933, and a rational scheme built on potential evapotranspiration in 1948.
  • Its lasting gift is the water balance, basic to hydrology and irrigation planning.

The 1931 Scheme

  • Basis: like Köppen, vegetation indicates climate, but two indices replace raw values.
  • Precipitation effectiveness (P-E) index: the sum of 12 monthly P/E ratios.
    • Monthly P/E = 11.5 [P/(T − 10)]^(10/9), with P in inches and T in °F; the index is 10 times the sum.
  • Thermal efficiency (T-E) index: the sum of monthly (T − 32)/4.
Index valueHumidity province (P-E)VegetationTemperature province (T-E)
128 and aboveA WetRainforestA’ Tropical
64–127B HumidForestB’ Mesothermal
32–63C SubhumidGrasslandC’ Microthermal
16–31D Semi-aridSteppeD’ Taiga
Below 16E AridDesertE’ Tundra (1–15); F’ Frost (0)
  • Seasonal letters: r rain adequate in all seasons, s deficient in summer, w deficient in winter, d deficient in all seasons.
  • 5 × 6 × 4 = 120 combinations were possible; 32 types appeared on the 1933 world map.
Thornthwaite 1931 humidity and temperature provinces by P-E and T-E index

The 1948 Scheme

Potential Evapotranspiration

  • Potential evapotranspiration (PE): the water that would pass to the air by evaporation plus transpiration from a full plant cover if soil water never ran short.
    • It is water need; actual evapotranspiration (AE) is what supply allows.
  • Estimated from monthly temperature, corrected for day length: PE = 1.6 (10t/I)^a cm, where I is the annual heat index, the sum of (t/5)^1.514, and a is a function of I.

Water Balance

  • Monthly rain is set against PE with a soil-moisture store:
    • Surplus (S): rain beyond PE once the soil is full feeds runoff and groundwater.
    • Utilisation: when PE exceeds rain, plants draw on stored water.
    • Deficit (D): the shortfall of AE below PE once the store is spent.
    • Recharge: the first rains refill the store before any surplus.
  • Uses: irrigation scheduling, crop-water need and drought indices.
Thornthwaite water balance for Mumbai: rainfall against potential evapotranspiration with recharge, surplus, utilisation and deficit

Indices and Provinces

  • Humidity index Ih = 100S/PE; aridity index Ia = 100D/PE.
  • Moisture index Im = Ih − 0.6 Ia, so a surplus counts more than an equal deficit.
ImMoisture provincePE (cm)Thermal province
100 and aboveA Perhumid114 and aboveA’ Megathermal
20 to 100B1–B4 Humid57–114B’1–B’4 Mesothermal
0 to 20C2 Moist subhumid28.5–57C’1–C’2 Microthermal
−20 to 0C1 Dry subhumid14.2–28.5D’ Tundra
−40 to −20D Semi-aridBelow 14.2E’ Frost
−60 to −40E Arid
  • Seasonality: moist climates take r, s, w, s2, w2 from Ia (16.7 and 33.3 limits); dry climates take d, s, w, s2, w2 from Ih (10 and 20 limits).
  • Summer concentration of PE (a’ to d’) completes a four-part code.
  • Thornthwaite and John Mather (1955) later weighted surplus and deficit equally, Im = 100(S − D)/PE, moving the dry limits to −33.3, −66.7 and −100.
Thornthwaite 1948 moisture index and potential evapotranspiration scales with provinces

India under Thornthwaite

  • V. P. Subrahmanyam (1956) classified India from about 250 stations: most of it is more arid than earlier schemes showed, and seasonal rainfall, not heat, limits growth.
  • On 1991–2020 normals (100 mm soil store):
PlaceIm (1948)Province
Mumbai+69B3 Humid, large winter deficit (w2)
Kolkata+13C2 Moist subhumid
Chennai−11C1 Dry subhumid
Delhi−31D Semi-arid
Jaisalmer−51E Arid
  • All five are megathermal (A’).

Köppen and Thornthwaite Compared

PointKöppenThornthwaite 1948
BasisVegetation limitsWater need (PE)
MoistureEstimated by formulaMeasured against PE
Best useGeography, ecologyHydrology, agriculture

Evaluation

  • Merits: rational, judging climate by plant water need; the water balance is applied worldwide.
  • Limitations:
    • Temperature-only PE ignores wind, humidity and radiation, and errs in tropical and dry lands.
    • Long calculations and too many types limited world mapping.
    • Ignores air masses, pressure and relief, the causes of climate.
  • Current view: the Penman–Monteith equation (FAO, 1998) has replaced Thornthwaite’s PE in agronomy; Johannes Feddema (2005) mapped a revised Thornthwaite-type world.

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12 Comments
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Manthan Chourasia

thanks

Manisha ARYA

To be honest your article is informative and very useful and knowledgeable. I really enjoyed reading this post and it help me a lot. Thanks for your kind information. thanks a lot team lotus arise.

Stephanie Morgan

Fantastic ,post fully asap ,it’s really interesting

Albert Maiorano

Many, even most of the criticisms of the system do not seem valid to me. For example that it does not address climate change. It is however complex but that is because it is trying to solve the problem of water efficiency. None of the current systems have clearly stated the nature of this question, least of all as it relates to the natural environment. Nevertheless Thornthwaite came closer to an educated determination than Holdridge and especially Koppen. This is evident in his dry zone which approximates much more the American prairie than the others where most of the prairie is part of the “humid provinces” in spite of the fact that the prairie, taken as a whole, cannot support the forestation common in the wetter eastern states. As for the rest, very informative.

Abhishek

this is for upsc aspirants. they cannot write Thornthwaite’s classification solves all the problems.

Last edited 4 years ago by Abhishek
RAVI RANJAN

Thanks for quality content of Geography optional

Asim Bhagat

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HIMANSHU GODARA

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Vivek pandey

Thanks sir

Femmy

This is so informative. Could you please attach the references?