Paper · 2026 · Agricultural Water Management

Water–potassium interactions determine potato (Solanum tuberosum L.) yield and water productivity: Evidence from response surface modeling and PLS-PM structural equation analysis

Zhangkai Wang; Juan Chen; Quanguo Liu; et al.

13
claims
26
verbatim quotes
0
citations
2
research areas
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Open access · cc-by

Abstract

In the arid sandy region of northern Shaanxi, China, precise water–potassium (K) coupling is crucial for improving potato ( Solanum tuberosum L.) productivity and resource-use efficiency, but the optimal management thresholds and underlying physiological mechanisms under different hydrological years remain unclear. In this study, a two-year field experiment was conducted during 2022–2023 in the wind-blown sandy grassland area of northern Shaanxi, China. Three irrigation levels (W1: 60% ET c , W2: 80% ET c , W3: 100% ET c ) and seven K application rates (K0–K6: 0–420 kg K ha −1 ) were imposed, and key indicators including canopy structure (leaf area index and Chlorophyll content), photosynthetic gas-exchange parameters ( P n , T r ), plant K nutritional status, dry matter accumulation, and yield components were systematically measured. Bivariate quadratic regression models and a Partial Least Squares Path Model (PLS-PM) were then used to analyze the quantitative thresholds and driving pathways of water–K coupling. The results showed that water–K interactions significantly regulated canopy structure, photosynthetic traits, and yield formation. In the wet year (2022), moderate irrigation combined with a high K rate (W2K5) achieved the highest tuber yield (53.37 t ha −1 ) and water productivity ( WP c , 12.43 kg ha −1 mm −1 ), whereas in the dry year (2023), full irrigation combined with a moderate K rate (W3K4) performed best, with a yield of 45.88 t ha −1 and a WP c of 9.44 kg ha −1 mm −1 . The bivariate quadratic regression models quantified the threshold-shift phenomenon of optimal management: to simultaneously maximize yield and WP c (>95% of their theoretical potential), the recommended irrigation range increased from 132.5 to 183.0 mm in the wet year to 259.9–282.3 mm in the dry year, while the optimal K application range narrowed from 222.9 to 420.0 kg ha −1 to 240.0–342.9 kg ha −1 . The PLS-PM revealed that water and K inputs independently drove evapotranspiration ( ET , β = 0.91) and plant K concentration ( PKC , β = 0.95), respectively. These factors jointly enhanced canopy function (Leaf parameters), which in turn drove dry matter accumulation ( β = 1.00) and yield formation ( β = 0.97). Crucially, the positive effect of yield increase on WP c ( β = 1.19) was stronger than the negative effect associated with increased ET ( β = −0.85), confirming that a high-yield strategy can simultaneously achieve high efficiency. These findings provide a theoretical basis and quantitative operational window for adaptive water–K management in potato cultivation on sandy soils under climate variability. • Optimal water–K strategies shifted significantly between hydrological years. • Regression models quantified precise windows for dual-objective optimization. • Yield gain was the dominant driver of water productivity, offsetting high ET costs. • PLS-PM revealed water and K as independent hydraulic and nutritional drivers. • Full irrigation with moderate K (W3K4) is optimal for dry years in sandy regions.

Abstract from the paper’s OpenAlex record; open copy licensed cc-by. Read at the source ↗

The text the model read, with the source record’s inline markup (italics, sub- and superscripts) rendered and its character entities decoded; quote offsets refer to the raw text.

Claims 13

Associationobservedoriginal resultsignificant (as stated)measured

Claim · model-written summary

Water-K interactions significantly regulated canopy structure, photosynthetic traits and yield formation of potato.

Treatment
water–K interactionse0
Outcome
canopy structure, photosynthetic traits, and yield formatione0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“water–K interactions significantly regulated canopy structure, photosynthetic traits, and yield formation”

✓ located verbatim in the source · abstract, characters 1053–1158 · show in text ↑
Intervention effectobservedoriginal resultpositivemeasured

Claim · model-written summary

In the wet year (2022), moderate irrigation with a high K rate (W2K5) gave the highest potato tuber yield, 53.37 t/ha.

Treatment
moderate irrigation combined with a high K rate (W2K5)e0
Outcome
tuber yielde0
Direction
higheste0
Value
53.37 t ha −1e0
Setting
wet year (2022)e0

Not reportedComparator

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“wet year (2022), moderate irrigation combined with a high K rate (W2K5) achieved the highest tuber yield (53.37 t ha −1 )”

✓ located verbatim in the source · abstract, characters 1167–1288 · show in text ↑
Intervention effectobservedoriginal resultpositivemeasured

Claim · model-written summary

In the wet year (2022), W2K5 also gave the highest water productivity, 12.43 kg/ha/mm.

Treatment
moderate irrigation combined with a high K rate (W2K5)e0
Outcome
water productivitye0
Direction
higheste0
Value
12.43 kg ha −1 mm −1e0
Setting
wet year (2022)e0

Not reportedComparator

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“wet year (2022), moderate irrigation combined with a high K rate (W2K5) achieved the highest tuber yield (53.37 t ha −1 ) and water productivity ( WP c , 12.43 kg ha −1 mm −1 )”

✓ located verbatim in the source · abstract, characters 1167–1343 · show in text ↑
Intervention effectobservedoriginal resultpositivemeasured

Claim · model-written summary

In the dry year (2023), full irrigation with a moderate K rate (W3K4) performed best, with a yield of 45.88 t/ha.

Treatment
full irrigation combined with a moderate K rate (W3K4)e0
Outcome
yielde0
Direction
beste0
Value
45.88 t ha −1e0
Setting
dry year (2023)e0

Not reportedComparator

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“dry year (2023), full irrigation combined with a moderate K rate (W3K4) performed best, with a yield of 45.88 t ha −1”

✓ located verbatim in the source · abstract, characters 1360–1477 · show in text ↑
Intervention effectobservedoriginal resultpositivemeasured

Claim · model-written summary

In the dry year (2023), W3K4 gave a water productivity of 9.44 kg/ha/mm.

Treatment
full irrigation combined with a moderate K rate (W3K4)e0
Outcome
WP ce0
Direction
beste0
Value
9.44 kg ha −1 mm −1e0
Setting
dry year (2023)e0

Not reportedComparator

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“dry year (2023), full irrigation combined with a moderate K rate (W3K4) performed best, with a yield of 45.88 t ha −1 and a WP c of 9.44 kg ha −1 mm −1”

✓ located verbatim in the source · abstract, characters 1360–1511 · show in text ↑
Recommendationauthor interpretationoriginal resultsimulated

Claim · model-written summary

Regression models indicate the recommended irrigation range increased from 132.5-183.0 mm in the wet year to 259.9-282.3 mm in the dry year.

Outcome
recommended irrigation rangee0
Direction
increasede0
Value
132.5 to 183.0 mm in the wet year to 259.9–282.3 mm in the dry yeare0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“the recommended irrigation range increased from 132.5 to 183.0 mm in the wet year to 259.9–282.3 mm in the dry year”

✓ located verbatim in the source · abstract, characters 1702–1817 · show in text ↑
Recommendationauthor interpretationoriginal resultsimulated

Claim · model-written summary

Regression models indicate the optimal K application range narrowed from 222.9-420.0 to 240.0-342.9 kg K/ha.

Outcome
optimal K application rangee0
Direction
narrowede0
Value
222.9 to 420.0 kg ha −1 to 240.0–342.9 kg ha −1e0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“the optimal K application range narrowed from 222.9 to 420.0 kg ha −1 to 240.0–342.9 kg ha −1”

✓ located verbatim in the source · abstract, characters 1825–1918 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

PLS-PM showed water input drove evapotranspiration (beta = 0.91).

Treatment
watere0
Outcome
evapotranspiratione0
Value
β = 0.91e0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“water and K inputs independently drove evapotranspiration ( ET , β = 0.91)”

✓ located verbatim in the source · abstract, characters 1946–2020 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

PLS-PM showed K input drove plant K concentration (beta = 0.95).

Treatment
K inputse0
Outcome
plant K concentratione0
Value
β = 0.95e0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“water and K inputs independently drove evapotranspiration ( ET , β = 0.91) and plant K concentration ( PKC , β = 0.95)”

✓ located verbatim in the source · abstract, characters 1946–2064 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

Canopy function drove dry matter accumulation (beta = 1.00).

Treatment
canopy functione0
Outcome
dry matter accumulatione0
Value
β = 1.00e0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“canopy function (Leaf parameters), which in turn drove dry matter accumulation ( β = 1.00)”

✓ located verbatim in the source · abstract, characters 2111–2201 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

Canopy function drove yield formation (beta = 0.97).

Treatment
canopy functione0
Outcome
yield formatione0
Value
β = 0.97e0

Not reportedDirection

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“These factors jointly enhanced canopy function (Leaf parameters), which in turn drove dry matter accumulation ( β = 1.00) and yield formation ( β = 0.97)”

✓ located verbatim in the source · abstract, characters 2080–2233 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

Yield increase had a positive effect on water productivity (beta = 1.19), stronger than the negative effect of increased ET.

Treatment
yield increasee0
Outcome
WP ce0
Direction
positivee0
Value
β = 1.19e0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“the positive effect of yield increase on WP c ( β = 1.19) was stronger than the negative effect associated with increased ET ( β = −0.85)”

✓ located verbatim in the source · abstract, characters 2246–2383 · show in text ↑
Associationobservedoriginal resultsimulated

Claim · model-written summary

Increased evapotranspiration had a negative effect on water productivity (beta = -0.85), weaker than the positive effect of yield increase.

Treatment
increased ETe0
Outcome
WP ce0
Direction
negativee0
Value
β = −0.85e0

Organisms pictured · Representative pictures of the matched species, not figures from the paper.

Solanum tuberosum
Solanum tuberosum · TaxonScott Bauer, USDA ARS · Public domain · Wikimedia Commons ↗

Verbatim

t0

“potato”

✓ located verbatim in the source · title, characters 39–45 · show in text ↑
e0

“the positive effect of yield increase on WP c ( β = 1.19) was stronger than the negative effect associated with increased ET ( β = −0.85)”

✓ located verbatim in the source · abstract, characters 2246–2383 · show in text ↑

potassium · yield · Solanum tuberosum (potato)Results differ

69 papers: 61 positive, 8 negative or no effect

60 papers in the same direction as this paper · 6 in the opposite direction · 2 reporting no difference from an alternative

  1. no effect
  2. no effect
  3. no effect

65 papers more in this group

See all 69 papers →

irrigation · yield · Solanum tuberosum (potato)Results differ

92 papers: 75 positive, 17 negative or no effect

74 papers in the same direction as this paper · 16 in the opposite direction · 1 reporting no difference from an alternative

  1. positive
  2. no effect
  3. no effect

88 papers more in this group

See all 92 papers →

irrigation · physiology: water · Solanum tuberosum (potato)Positive and negative results

25 papers: 21 positive, 4 negative or no effect

20 papers in the same direction as this paper · 3 in the opposite direction · 1 reporting no difference from an alternative

  1. positive
  2. negative
  3. no effect

21 papers more in this group

See all 25 papers →

potassium · physiology: water · Solanum tuberosum (potato)Results agree

3 papers: 3 positive, 0 negative or no effect

2 papers in the same direction as this paper

  1. positive
  2. positive
See all 3 papers →

Claims are grouped by organism, treatment and what was measured or targeted. A paper counts as positive when any of its claims in the group is positive.