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VPD: vapour pressure deficit — calculation, measurement, limits

Kiwifruit foliage with browning at the leaf margins on a hot, dry day
Kiwifruit foliage on a dry, hot day. Browning appears first at the leaf margins — the point that dries first when atmospheric demand exceeds the water that manages to arrive.

Savvas Pastopoulos, Agronomist — Pastopoulos Agronomic P.C.

Vapour pressure deficit, VPD, is the force with which the air pulls water out of the leaf. It is not humidity and it is not temperature — it is their combination, and it explains why a well-watered tree can close its stomata and stop growing its fruit within two hours. What follows is what it exactly is, how it is calculated by hand, how it is measured correctly in the field, which range is acceptable, and what happens when that range is exceeded.

0.45–1.0kPa — the range where stomatal conductance is near maximum
~2.0kPa — the stomatal closure threshold in many tree crops
0.6the stomatal sensitivity coefficient to VPD
12.9%yield loss from the VPD rise accompanying +2 °C
The one sentence that stays Above a VPD threshold, the plant closes its stomata and stops transpiring even if the soil is full of water. So midday wilting is not corrected with more irrigation — and trying to correct it that way costs water, root-zone oxygen and often roots as well.

VPD calculator

Air temperature and relative humidity in, vapour pressure deficit out.

kPa

The calculation follows the FAO Paper 56 equation given in section 2. It concerns the VPD of the air; at the leaf surface the value differs, as explained in section 4.

1. What VPD exactly is

Air at any given temperature can hold a maximum amount of water vapour. This maximum is called the saturation vapour pressure and is written SVP. The amount it actually carries at that moment is the actual vapour pressure, AVP. Their difference is the vapour pressure deficit:

VPD = SVP − AVP, in kilopascals (kPa)

This is essentially the "empty space" of the air. The more empty space there is, the harder the air pulls water from any wet surface — and the interior of the leaf is such a surface, saturated with water vapour. VPD is therefore the driving force of transpiration: not a condition that accompanies it, but its very cause.

Two things raise it: temperature, because warm air holds far more water vapour, and dryness of the air. What is critical is that the relationship with temperature is exponential, not linear. At 20 °C saturated air carries 2.34 kPa of vapour; at 30 °C it carries 4.24 kPa; at 40 °C it reaches 7.38 kPa [3]. That is, twenty degrees more triples the demand.

Sources: 1 3

2. The calculation, step by step

Nothing is needed beyond temperature and relative humidity. The equation for saturation vapour pressure is that of Tetens, the same one FAO uses in Paper 56 for evapotranspiration [3]:

SVP = 0.6108 × e(17.27 × T) / (T + 237.3)
where T is temperature in °C and the result is in kPa

Then:

AVP = SVP × (RH / 100)
VPD = SVP − AVP = SVP × (1 − RH/100)

An example with numbers

A July afternoon in Pella, northern Greece: 35 °C and 30% relative humidity.

  • SVP at 35 °C = 0.6108 × e(17.27×35)/(35+237.3) = 5.62 kPa
  • AVP = 5.62 × 0.30 = 1.69 kPa
  • VPD = 5.62 − 1.69 = 3.94 kPa

Almost four kPa. That is double the threshold at which most tree crops have already closed their stomata [6].

A table for quick reading

Temperature / HumiditySVP (kPa)AVP (kPa)VPD (kPa)What it means
15 °C / 95%1.711.620.09Practically zero transpiration. Fungal risk, condensation on the leaves
20 °C / 80%2.341.870.47Very good zone. Maximum stomatal conductance in most species
20 °C / 70%2.341.640.70Ideal. Transpiration runs without stress
25 °C / 60%3.171.901.27Partial stomatal regulation begins
30 °C / 70%4.242.971.27Same VPD as the previous row, ten degrees apart — analysed in section 3
30 °C / 40%4.241.702.55Above the threshold. Stomata close, photosynthesis falls
35 °C / 30%5.621.693.94Severe stress. Risk of xylem embolism
38 °C / 25%6.621.664.97Extreme. The plant is in purely defensive mode

The SVP values were calculated with the Tetens equation and verified numerically. The VPD concerns the air; for leaf VPD, section 4 applies.

Sources: 3 6

3. Why relative humidity misleads

Two rows of that table deserve a second look. At 25 °C with 60% humidity, VPD is 1.27 kPa. At 30 °C with 70% humidity — that is, with higher humidity — VPD is again 1.27 kPa. Exactly the same water demand, with ten percentage points of difference in humidity.

And the reverse: at the same 70% humidity, VPD goes from 0.70 kPa at 20 °C, to 1.27 kPa at 30 °C, to 1.69 kPa at 35 °C. The humidity meter did not move at all, and water demand more than doubled.

Why this happens Relative humidity is a percentage — it says how full the air is relative to its own capacity at that moment. But that capacity changes exponentially with temperature. Seventy per cent of a large vessel leaves far more empty space than 70% of a small one. The plant does not see the percentage — it sees the empty space.

In practice this means that irrigation and spraying decisions based on relative humidity are wrong decisions. The greenhouse literature has stated it explicitly for decades: VPD gives more information about transpiration and water loss than temperature and humidity separately [5].

Sources: 5

4. Air VPD or leaf VPD — which one actually counts

The equation in section 2 uses the temperature of the air. But the surface the water leaves from is not the air — it is the leaf. And the leaf rarely has the temperature of the air.

The correct quantity is the leaf VPD:

VPDleaf = SVP(Tleaf) − AVP(air)

A leaf that is actively transpiring is cooled by evaporation and is usually 1 to 3 °C below air temperature [5]. A leaf that has closed its stomata, however, or one in full sun without wind, can be several degrees warmer than the air.

The difference is not academic. At 30 °C with 40% humidity:

CalculationLeaf temperatureVPD
Air VPD30 °C (same as the air)2.55 kPa
Leaf VPD, transpiring leaf28 °C2.08 kPa
Leaf VPD, sunlit leaf with closed stomata35 °C3.93 kPa

From 2.08 to 3.93 kPa — almost double, with the same air. And note the vicious circle: as soon as the stomata close, evaporative cooling stops, the leaf warms, leaf VPD rises further, and the stress feeds itself.

In the field Without an infrared thermometer, the working assumption is that a transpiring leaf sits about 2 °C below the air [5]. During the midday hours of a heatwave, however, when wilting is already visible, that assumption collapses and the real canopy VPD is higher than what the weather station shows.

Sources: 5

5. How it is measured in the field

What is needed in the minimum version

A temperature and relative humidity sensor, correctly positioned. With those two and the equation of section 2, air VPD follows. Critical points of placement:

  • Inside the canopy, at the height of the fruiting foliage — not above the trees and not at the edge of the field. The microclimate inside the canopy differs substantially from that two metres above the ground.
  • In a radiation shield (white, louvred, naturally ventilated). A sensor exposed to the sun reads its own temperature, not the air's, and overestimates VPD.
  • Away from drippers and microsprinklers. A sensor inside the wetted zone shows a VPD lower than the real one for the whole canopy.
  • Logging at least every 15 minutes. The VPD peak lasts two or three hours and one reading a day misses it.

What an infrared thermometer adds

A handheld infrared thermometer gives leaf temperature, hence leaf VPD. It costs little and changes the quality of the information. Practical guidance:

  • Measurement on sunlit leaves and on shaded leaves separately — their difference shows how well transpiration is working.
  • Emissivity is set to 0.95–0.98, typical for a plant surface. Cheap devices are locked at 0.95 and that is acceptable.
  • The measurement is taken from a short distance, so that the field of view is covered by leaf only and not by soil or sky.
  • The leaf minus air difference is itself a stress indicator. A negative difference means active transpiration; a difference near zero or positive means the stomata have closed.

Common measurement errors

ErrorWhat it causesCorrection
Sensor in the sunOverestimation of temperature and therefore of VPD, often by 1 kPa or moreRadiation shield
A single sensor in a large fieldDifferences between ridges, hollows and edges are lostTwo to three points at representative positions
Uncalibrated hygrometerCapacitive sensors drift over the years, especially in dustCheck or replace every 2 years
Using data from a distant stationA station 10 km away, over bare ground, gives a different VPD from the orchard itselfSensor inside the canopy
Measuring only air VPD during a heatwaveUnderestimation of the real stress on the canopyInfrared thermometer during the critical hours

Sources: 5 14

6. The acceptable range

There is no single number for all plants and all stages. There are, however, well-documented ranges.

What orchard data show

Across eight hazelnut orchards on three continents, maximum canopy conductance occurred on average at 0.57 kPa, and the range over which conductance stays above 80% of maximum extended on average to 1 kPa [4]. That is, maximum gas exchange occurs at a lower VPD than most people assume.

The same work notes that many other fruit trees — olive, walnut, apple — reach their maximum conductance at a somewhat higher VPD, in the region of 1 to 2 kPa [4].

VPD zoneWhat happensWhat is required
Below 0.4 kPaTranspiration nearly stops. Insufficient calcium transport. Condensation on the leaves and favourable conditions for fungiVentilation in a greenhouse; outdoors, control of leaf wetness duration
0.45–1.0 kPaThe zone of maximum stomatal conductance for most tree crops [4]Nothing. The desired zone
1.0–1.5 kPaGood productivity. Stomatal regulation has begun but is mildMonitoring and full water availability at the root
1.5–2.0 kPaNoticeable reduction in conductance and photosynthesis. Fruit growth rate slowsShading, windbreaks, avoidance of sprays and handling
Above 2.0 kPaStomatal closure independent of irrigation [6]. Zero CO2 uptakeNo intervention on the foliage. Cooling if the infrastructure exists
Above 3.0 kPaRisk of xylem embolism and permanent hydraulic damage [8]Protection: shade netting, canopy cooling, no operations at all

In the greenhouse

For fruiting vegetables, the practical range worked with in the Dutch school of climate management is 0.3 to 1.5 kPa, with management changing according to stage and time of day [15]. The value of stability is greater than the value of the absolute figure: in lettuce, minimising VPD fluctuations maintained higher stomatal conductance and higher photosynthesis than a mean VPD of the same value but with large swings [10].

Sources: 4 6 8 10 15

7. What the plant does as VPD rises

The curve has a peak, not a slope

As VPD rises, transpiration initially increases — there is a greater force pulling water. But this holds only up to a point. Beyond it, the plant closes its stomata and transpiration levels off or even falls, although atmospheric demand keeps rising [1] [11].

The inflection point is not the same for everything. In kiwifruit, VPD above 2.0 kPa caused stomatal closure independently of the irrigation regime [6]. In hazelnut, a reduction in conductance was recorded above 2.3 kPa over the daily cycle [4].

How sensitive the stomata are — a number worth keeping

There is a remarkable regularity across all plants. If stomatal conductance is written as

gs = gsref × [1 − m × ln(VPD)]

where gsref is conductance at 1 kPa, then the sensitivity coefficient m is about 0.6 × gsref — and this holds regardless of species and measurement method [2]. In desert species the coefficient falls to 0.4.

In practice this means that a plant that opens its stomata widely under mild conditions also closes them more abruptly as VPD rises. The strong "breathers" are also the most vulnerable at the peak. This is not a design flaw — it is the mechanism that keeps leaf water potential within safe limits.

The chain of consequences

  • Stomatal closure → CO2 entry stops → zero photosynthesis during the hours with the most available sunlight.
  • Reduced leaf area development and a shortened growing season [12].
  • Hydraulic damage. At elevated temperature and VPD, xylem embolisms are recorded with no soil drought at all [8]. This damage is partly permanent.
  • Metabolic disruption. In durum wheat, only a brief exposure to high VPD severely disrupted carbon and nitrogen metabolism, again without edaphic water stress [9].
The counter-intuitive finding One would expect stomata to close because the root cannot deliver water fast enough. Recent work on Arabidopsis and Callitris showed that the stomatal response to VPD is not triggered by changes in soil–leaf hydraulic conductance [7]. The plant perceives VPD and reacts, without needing to have "run dry" first.

Sources: 1 2 4 6 7 8 9 11 12

Whitish necrosis on exposed kiwifruit leaves
Whitish necrosis on the most exposed leaves of the same vineyard block. The picture is consistent with intense evaporative demand and not necessarily with a lack of water in the soil.

8. Midday wilting with a full soil

The scene is familiar to every grower. Irrigation ran normally the previous evening. The soil at 30 cm is moist — it looks it, it feels it, and the sensor says so. At two in the afternoon the leaves are hanging.

This is not thirst. It is hydraulic congestion. The water is there, but the path root → trunk → shoot → leaf has a finite conductance. When VPD shoots up, demand exceeds that conductance and the leaf loses turgor, whatever the root does.

The proof that the air and not the soil is at fault is that the phenomenon is reproduced experimentally in fully watered plants: high atmospheric VPD on its own causes stomatal closure, a drop in photosynthesis, and at extreme values embolism — with no edaphic water stress at all [8] [9].

The expensive mistake The grower sees wilting, concludes there is a lack of water, and opens the irrigation in the middle of the peak. The wilting does not recede, because that was not the problem. What is achieved is:
  • consumption of water that is not used
  • soil saturation and lack of oxygen at the root, at the very moment the root is respiring more intensely because of temperature
  • leaching of nitrate below the root zone
  • in susceptible species, conditions for Phytophthora
Irrigation is correct before the peak, not inside it.

Sources: 7 8 9

9. VPD and calcium in the fruit

Here VPD connects with something that costs quality directly. Calcium moves only through the transpiration stream, in the xylem, and is not redistributed afterwards. If there is no transpiration towards the fruit, there is no calcium in the fruit — however much fertiliser is applied.

The problem is that the fruit is a poor competitor. It has few stomata and loses its transpiring capacity early in its development, while the leaf transpires at full power until the end. Therefore:

  • At very high VPD, the transpiration stream — and the calcium with it — is directed overwhelmingly to the leaves and bypasses the fruit.
  • At very low VPD, especially at night, transpiration stops altogether and with it the supply of calcium to the fruit.

Both extremes give the same result: cracking, softening, bitter pit, blossom end rot, brown leaf margins. In strawberry in fact, the most effective way of reducing tipburn proved to be not increasing daytime transpiration but managing night-time VPD [16].

In practice Where there are calcium problems in the fruit, VPD is most likely a bigger lever than fertilisation. The physiology of transport and the time windows are analysed in the article Calcium and fruit that crack and soften (in Greek), which explains why 83% of the calcium enters in the first weeks after flowering and why after 60 days the door closes.

Sources: 16 17

10. Low VPD is also a problem

The discussion about VPD focuses on the summer peak, but the other extreme costs just as much.

Below 0.4 kPa transpiration nearly falls to zero. The consequences:

  • Calcium transport stops, with everything that implies (section 9).
  • Prolonged leaf wetness. When the temperature falls and the air reaches saturation, water vapour condenses on the leaves. This film of water is the precondition for spore germination in most fungal diseases.
  • Reduced nutrient uptake in general, since mass flow towards the root weakens.

The critical periods in Greece are spring with cool damp mornings and the still, humid nights after rain. These are exactly the conditions that favour brown rot in stone fruit during flowering and bacterial canker in kiwifruit.

Sources: 13 16

11. Practical management

Outdoors

MeasureHow it acts on VPDNote
Shade nettingReduces radiation, hence leaf temperature, hence leaf VPD. It is the most direct interventionShading of 15–20% costs nothing in production; above 30% it starts to limit photosynthesis
WindbreaksReduce removal of the humid boundary layer around the leaves, keeping local humidity higherA dry north wind raises VPD dramatically even at moderate temperature
Over-tree coolingDirectly lowers leaf temperature and raises humidityRequires good water quality; hard water leaves salt deposits on the fruit
Irrigation timingDoes not change VPD, but brings the tree into the peak with fully hydrated tissuesIrrigation early in the morning or at night, never in the middle of the peak
Keeping ground cover in the rowsReduces reflection and radiated heat from bare soilManaged, with mowing before it competes for water
Kaolin or antitranspirantsA reflective layer that lowers leaf temperatureThe foliar spray warning below applies
Warning for every foliar spray Spraying trees carrying fruit can cause fruit marking and leaf burn. Before any general application, a test on a limited number of trees is required, with the same product and the same rate, and a wait of 5 to 7 days. Spraying is done in the late afternoon or early morning — never in a heatwave and never on foliage under water stress, that is, never during the hours this article examines.

In the greenhouse

  • Smoothness over absolute values. Large swings cost more than a steadily slightly higher value [10].
  • Night-time management. On a clear spring night the canopy "sees" the cold roof, its temperature falls, VPD goes to zero and calcium transport stops — while the root, warm, keeps feeding growth. Light ventilation on both sides maintains mild transpiration.
  • High-pressure fog for the peak, taking care that VPD does not fall below 0.4 kPa for a prolonged period.

A simple monitoring protocol

  1. Logging of temperature and humidity inside the canopy, every 15 minutes.
  2. Calculation of VPD with the equation of section 2 — a spreadsheet is enough.
  3. Counting the hours per day above 2.0 kPa. That number, summed over the season, is the best available stress index at no cost.
  4. On critical days, measurement of leaf temperature in sun and in shade with an infrared thermometer. If the difference from the air is not negative, the stomata have closed.
  5. Combination with soil moisture data. Wet soil and wilting at the same time means VPD, not thirst.

Sources: 10 15

12. VPD is rising and will keep rising

This is not a forecast — it is a measured trend. As the atmosphere warms without a corresponding addition of water vapour, VPD rises exponentially, and it has been recognised as an increasingly important factor in plant function worldwide, as well as a key contributor to recent drought-driven tree mortality [1].

The magnitude of the effect is surprising. In an analysis of global yields, the VPD increase accompanying 2 °C of warming caused a greater yield loss (12.9 ± 1.8%) than the warming itself (8.5 ± 1.4%) [13]. That is, the hidden part of the damage is larger than the visible part.

For the Mediterranean specifically, mean annual temperature is expected to increase by 3 to 4 °C, and the increased evapotranspiration from temperature and higher VPD is a key limiting factor for crop production [13].

What this means for planning Decisions taken today that last 20 years — rootstock choice, planting density, row orientation, shading infrastructure, irrigation sizing — must take into account a climate with more hours above 2 kPa than today's. The same applies to density selection; the relevant tool is the plants-per-area calculator (in Greek).

Sources: 1 13 14

13. The key points

Eight conclusions

  • VPD is the cause of transpiration, not an accompanying index. It is calculated from temperature and humidity with one equation.
  • Relative humidity misleads. The same humidity percentage at a different temperature means a completely different water demand.
  • Leaf VPD is what counts, not air VPD. The difference can reach a factor of two, and once the stomata close, it worsens by itself.
  • The 0.45 to 1.0 kPa zone is where tree crops have near-maximum stomatal conductance [4].
  • Above 2.0 kPa the stomata close independently of irrigation [6]. Extra water solves nothing.
  • Wet soil and wilted foliage at the same time means VPD. The right response is shading, cooling and timing — not more water inside the peak.
  • Very low VPD also costs — calcium in the fruit and fungal disease.
  • The trend is upward and the damage from VPD can exceed the damage from temperature itself [13].
Related articles

14. Sources

The numbers in the text refer to the list below.

Disclaimer

This article is general technical information and not individualised agronomic advice. Every orchard differs in cultivar, rootstock, soil, microclimate and the nutritional status of the trees.

Plant protection products are used exclusively on the basis of national approvals and the product label. Any values and ranges mentioned are indicative and do not constitute a recommendation for application. The approvals in the plantprotect.gr database are valid in Greece only; in every other country the corresponding national register applies.

For every foliar spray: spraying trees carrying fruit can cause fruit marking and leaf burn. A prior test on a limited number of trees is required, with the same product and the same rate, and a wait of 5 to 7 days before general application. Spraying is done in the late afternoon or early morning, never in a heatwave and never on foliage under water stress.

Every intervention is carried out at the user's own responsibility, following an on-site assessment by a licensed agronomist. Pastopoulos Agronomic P.C. accepts no liability for damage or loss of production arising from application of this information without individualised technical guidance.

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