### Abstract

The photon recollision probability in vegetation canopies, defined as the probability that a photon, after having interacted with a canopy element, will interact again, is a useful tool in remote sensing and ecological applications, enabling to link canopy optical properties at different wavelength and to estimate radiation absorption. In this work, a method is presented to estimate the photon recollision probability for horizontally homogeneous leaf canopies with arbitrary leaf angle distribution as well as for discrete crown canopies. The estimation is based on analytical approximation of the first-order recollision probability. Using the analytical solution of the two-stream equations of radiative transfer and Monte Carlo modeling, the first-order photon recollision probability is shown to slightly underestimate the mean recollision probability. Also, an approximation formula for the mean recollision probability in a horizontally homogeneous canopy is presented as a function of leaf area index. The method to calculate photon recollision probability in discrete crown canopies requires only the knowledge of total and between-crown canopy transmittance and is thus independent of the geometric-optical model used.

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

Pages (from-to) | 176-185 |

Number of pages | 10 |

Journal | Remote Sensing of Environment |

Volume | 110 |

Issue number | 2 |

DOIs | |

Publication status | Published - 28 Sep 2007 |

MoE publication type | A1 Journal article-refereed |

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### Keywords

- Canopy transmittance
- Geometric-optical reflectance model
- Leaf inclination angle
- Photon recollision probability

### Cite this

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*Remote Sensing of Environment*, vol. 110, no. 2, pp. 176-185. https://doi.org/10.1016/j.rse.2007.02.015

**Photon recollision probability in discrete crown canopies.** / Mõttus, Matti.

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

TY - JOUR

T1 - Photon recollision probability in discrete crown canopies

AU - Mõttus, Matti

PY - 2007/9/28

Y1 - 2007/9/28

N2 - The photon recollision probability in vegetation canopies, defined as the probability that a photon, after having interacted with a canopy element, will interact again, is a useful tool in remote sensing and ecological applications, enabling to link canopy optical properties at different wavelength and to estimate radiation absorption. In this work, a method is presented to estimate the photon recollision probability for horizontally homogeneous leaf canopies with arbitrary leaf angle distribution as well as for discrete crown canopies. The estimation is based on analytical approximation of the first-order recollision probability. Using the analytical solution of the two-stream equations of radiative transfer and Monte Carlo modeling, the first-order photon recollision probability is shown to slightly underestimate the mean recollision probability. Also, an approximation formula for the mean recollision probability in a horizontally homogeneous canopy is presented as a function of leaf area index. The method to calculate photon recollision probability in discrete crown canopies requires only the knowledge of total and between-crown canopy transmittance and is thus independent of the geometric-optical model used.

AB - The photon recollision probability in vegetation canopies, defined as the probability that a photon, after having interacted with a canopy element, will interact again, is a useful tool in remote sensing and ecological applications, enabling to link canopy optical properties at different wavelength and to estimate radiation absorption. In this work, a method is presented to estimate the photon recollision probability for horizontally homogeneous leaf canopies with arbitrary leaf angle distribution as well as for discrete crown canopies. The estimation is based on analytical approximation of the first-order recollision probability. Using the analytical solution of the two-stream equations of radiative transfer and Monte Carlo modeling, the first-order photon recollision probability is shown to slightly underestimate the mean recollision probability. Also, an approximation formula for the mean recollision probability in a horizontally homogeneous canopy is presented as a function of leaf area index. The method to calculate photon recollision probability in discrete crown canopies requires only the knowledge of total and between-crown canopy transmittance and is thus independent of the geometric-optical model used.

KW - Canopy transmittance

KW - Geometric-optical reflectance model

KW - Leaf inclination angle

KW - Photon recollision probability

UR - http://www.scopus.com/inward/record.url?scp=34547583148&partnerID=8YFLogxK

U2 - 10.1016/j.rse.2007.02.015

DO - 10.1016/j.rse.2007.02.015

M3 - Article

VL - 110

SP - 176

EP - 185

JO - Remote Sensing of Environment

JF - Remote Sensing of Environment

SN - 0034-4257

IS - 2

ER -