- 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 value | Humidity province (P-E) | Vegetation | Temperature province (T-E) |
|---|---|---|---|
| 128 and above | A Wet | Rainforest | A’ Tropical |
| 64–127 | B Humid | Forest | B’ Mesothermal |
| 32–63 | C Subhumid | Grassland | C’ Microthermal |
| 16–31 | D Semi-arid | Steppe | D’ Taiga |
| Below 16 | E Arid | Desert | E’ 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.

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.

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.
| Im | Moisture province | PE (cm) | Thermal province |
|---|---|---|---|
| 100 and above | A Perhumid | 114 and above | A’ Megathermal |
| 20 to 100 | B1–B4 Humid | 57–114 | B’1–B’4 Mesothermal |
| 0 to 20 | C2 Moist subhumid | 28.5–57 | C’1–C’2 Microthermal |
| −20 to 0 | C1 Dry subhumid | 14.2–28.5 | D’ Tundra |
| −40 to −20 | D Semi-arid | Below 14.2 | E’ Frost |
| −60 to −40 | E 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.

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):
| Place | Im (1948) | Province |
|---|---|---|
| Mumbai | +69 | B3 Humid, large winter deficit (w2) |
| Kolkata | +13 | C2 Moist subhumid |
| Chennai | −11 | C1 Dry subhumid |
| Delhi | −31 | D Semi-arid |
| Jaisalmer | −51 | E Arid |
- All five are megathermal (A’).
Köppen and Thornthwaite Compared
| Point | Köppen | Thornthwaite 1948 |
|---|---|---|
| Basis | Vegetation limits | Water need (PE) |
| Moisture | Estimated by formula | Measured against PE |
| Best use | Geography, ecology | Hydrology, 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.
Previous Year Questions
2019Explain the techniques to calculate potential evapotranspiration suggested by Thornthwaite.2015What is potential evapotranspiration? Explain how it is used in assessing the water balance in an area.2004Write short note on Potential evapotranspiration.2002Discuss the criteria which Thornthwaite adopted for his 1948 classification of the World climate.1990Explain the basic criteria used in Thornthwaite’s 1948 classification of climates.1986Compare the basis of the climatic classification of Koppen with that of Thornthwaite’s classification.



thanks
Most Welcome
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.
Fantastic ,post fully asap ,it’s really interesting
Yeah, Sure
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.
this is for upsc aspirants. they cannot write Thornthwaite’s classification solves all the problems.
Thanks for quality content of Geography optional
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Thanks sir
This is so informative. Could you please attach the references?