### Abstract

Different sunfleck characteristics, length and number of sunflecks per metre and sunfleck fractional area, were measured at different depths inside willow (Salix viminalis) canopy. All these characteristics depend on the pathlength of the direct solar radiation beam into the canopy, τ=L/sin h, where L is the downward cumulative leaf area index and h is the solar elevation. The mean sunfleck length (l(s)) decreases exponentially with τ. The maximum length of short sunflecks (length <6 cm) decreases linearly with τ, but not exponentially. Like the number of short sunflecks, the total number of sunflecks increases with τ, reaches a maximum value of 10-12 sunflecks m^{-1} at τ=2.5 and then decreases slowly to zero at τ=6. The vertical profiles of the sunfleck fractional area are different for long (length >6 cm) and short sunflecks. The fractional area of long sunflecks decreases with τ exponentially; the fractional area of short sunflecks, k(SS), can be approximated by the formula k(SS)=0.19τ exp(-0.15τ^{2}), and the fractional area of all sunflecks k(S), by the formula k(S)=exp(-0.18τ^{2}). Within the canopy, direct solar radiation is present in two areas - in sunflecks and in penumbra. The total flux of direct solar radiation in penumbra is smaller than it is in sunflecks and reaches its maximum value of 50% at the pathlength τ=2. There exists a good correlation with R^{2}=0.94 between the fractional area of umbra, k(U), and the fractional area of sunflecks, k(S), which can be fitted by the exponential formula k(U)=0.63 exp(-2.30k(S)). (C) 2000 Elsevier Science B.V.

Original language | English |
---|---|

Pages (from-to) | 215-231 |

Number of pages | 17 |

Journal | Agricultural and Forest Meteorology |

Volume | 104 |

Issue number | 3 |

DOIs | |

Publication status | Published - 28 Aug 2000 |

MoE publication type | A1 Journal article-refereed |

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### Keywords

- Radiation statistics in plant canopy
- Sunflecks
- Willow coppice

### Cite this

}

*Agricultural and Forest Meteorology*, vol. 104, no. 3, pp. 215-231. https://doi.org/10.1016/S0168-1923(00)00162-3

**Statistical treatment of sunfleck length inside willow coppice.** / Ross, J.; Mõttus, M.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Statistical treatment of sunfleck length inside willow coppice

AU - Ross, J.

AU - Mõttus, M.

PY - 2000/8/28

Y1 - 2000/8/28

N2 - Different sunfleck characteristics, length and number of sunflecks per metre and sunfleck fractional area, were measured at different depths inside willow (Salix viminalis) canopy. All these characteristics depend on the pathlength of the direct solar radiation beam into the canopy, τ=L/sin h, where L is the downward cumulative leaf area index and h is the solar elevation. The mean sunfleck length (l(s)) decreases exponentially with τ. The maximum length of short sunflecks (length <6 cm) decreases linearly with τ, but not exponentially. Like the number of short sunflecks, the total number of sunflecks increases with τ, reaches a maximum value of 10-12 sunflecks m-1 at τ=2.5 and then decreases slowly to zero at τ=6. The vertical profiles of the sunfleck fractional area are different for long (length >6 cm) and short sunflecks. The fractional area of long sunflecks decreases with τ exponentially; the fractional area of short sunflecks, k(SS), can be approximated by the formula k(SS)=0.19τ exp(-0.15τ2), and the fractional area of all sunflecks k(S), by the formula k(S)=exp(-0.18τ2). Within the canopy, direct solar radiation is present in two areas - in sunflecks and in penumbra. The total flux of direct solar radiation in penumbra is smaller than it is in sunflecks and reaches its maximum value of 50% at the pathlength τ=2. There exists a good correlation with R2=0.94 between the fractional area of umbra, k(U), and the fractional area of sunflecks, k(S), which can be fitted by the exponential formula k(U)=0.63 exp(-2.30k(S)). (C) 2000 Elsevier Science B.V.

AB - Different sunfleck characteristics, length and number of sunflecks per metre and sunfleck fractional area, were measured at different depths inside willow (Salix viminalis) canopy. All these characteristics depend on the pathlength of the direct solar radiation beam into the canopy, τ=L/sin h, where L is the downward cumulative leaf area index and h is the solar elevation. The mean sunfleck length (l(s)) decreases exponentially with τ. The maximum length of short sunflecks (length <6 cm) decreases linearly with τ, but not exponentially. Like the number of short sunflecks, the total number of sunflecks increases with τ, reaches a maximum value of 10-12 sunflecks m-1 at τ=2.5 and then decreases slowly to zero at τ=6. The vertical profiles of the sunfleck fractional area are different for long (length >6 cm) and short sunflecks. The fractional area of long sunflecks decreases with τ exponentially; the fractional area of short sunflecks, k(SS), can be approximated by the formula k(SS)=0.19τ exp(-0.15τ2), and the fractional area of all sunflecks k(S), by the formula k(S)=exp(-0.18τ2). Within the canopy, direct solar radiation is present in two areas - in sunflecks and in penumbra. The total flux of direct solar radiation in penumbra is smaller than it is in sunflecks and reaches its maximum value of 50% at the pathlength τ=2. There exists a good correlation with R2=0.94 between the fractional area of umbra, k(U), and the fractional area of sunflecks, k(S), which can be fitted by the exponential formula k(U)=0.63 exp(-2.30k(S)). (C) 2000 Elsevier Science B.V.

KW - Radiation statistics in plant canopy

KW - Sunflecks

KW - Willow coppice

UR - http://www.scopus.com/inward/record.url?scp=0342572588&partnerID=8YFLogxK

U2 - 10.1016/S0168-1923(00)00162-3

DO - 10.1016/S0168-1923(00)00162-3

M3 - Article

AN - SCOPUS:0342572588

VL - 104

SP - 215

EP - 231

JO - Agricultural and Forest Meteorology

JF - Agricultural and Forest Meteorology

SN - 0168-1923

IS - 3

ER -