An integral equation from phytology

J. B. Miller

doi:10.1017/S1446788700025210

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We examine the equation where with .

References

[1]Philip, J. R., Analysis of the spatial distribution of foliage by point quadrats at several inclinations (to be submitted to the Aust. J. of Botany).Google Scholar

[2]Titchmarsh, E. C., Introduction to the theory of Fourier integrals. Oxford U.P., 1937.Google Scholar

[3]Tricomi, F. G., Integral equations. Interscience, New York, 1957.Google Scholar

[4]Warren Wilson, J., Inclined point quadrats, with Appendix by Reeve, J. E.. The New Phytologist 59 (1960), 1–8.Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Moran, P. A. P. 1966. A note on recent research in geometrical probability. Journal of Applied Probability, Vol. 3, Issue. 02, p. 453.

Moran, P. A. P. 1966. A note on recent research in geometrical probability. Journal of Applied Probability, Vol. 3, Issue. 2, p. 453.

Anderssen, R. S. and Jackett, D. R. 1984. Linear functionals of foliage angle density. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 25, Issue. 4, p. 431.

Anderssen, R.S Jackett, D.R Jupp, D.L.B and Norman, J.M 1985. Interpretation of and simple formulas for some key linear functionals of the foliage angle distribution. Agricultural and Forest Meteorology, Vol. 36, Issue. 2, p. 165.

Miller, John Boris 1986. The foliage density equation revisited. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 27, Issue. 4, p. 387.

Lang, A.R.G. 1987. Simplified estimate of leaf area index from transmittance of the sun's beam. Agricultural and Forest Meteorology, Vol. 41, Issue. 3-4, p. 179.

Myneni, Ranga B. Asrar, Ghassem and Kanemasu, Edward T. 1988. Solution of an integral equation encountered in studies on radiative transfer in completely absorbing leaf canopies. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 40, Issue. 2, p. 157.

Myneni, Ranga B. Ross, Juhan and Asrar, Ghassem 1989. A review on the theory of photon transport in leaf canopies. Agricultural and Forest Meteorology, Vol. 45, Issue. 1-2, p. 1.

Lang, A.R.G. 1991. Application of some of Cauchy's theorems to estimation of surface areas of leaves, needles and branches of plants, and light transmittance. Agricultural and Forest Meteorology, Vol. 55, Issue. 3-4, p. 191.

Anderssen, Bob and Monypenny, Richard 1993. Link concepts and partitioning in model formulation. Mathematical and Computer Modelling, Vol. 17, Issue. 7, p. 105.

Shabanov, N.V. Wang, Y. Buermann, W. Dong, J. Hoffman, S. Smith, G.R. Tian, Y. Knyazikhin, Y. and Myneni, R.B. 2003. Effect of foliage spatial heterogeneity in the MODIS LAI and FPAR algorithm over broadleaf forests. Remote Sensing of Environment, Vol. 85, Issue. 4, p. 410.

Jupp, D. L.B. Culvenor, D.S. Lovell, J.L. Newnham, G.J. Strahler, A.H. and Woodcock, C.E. 2008. Estimating forest LAI profiles and structural parameters using a ground-based laser called 'Echidna(R). Tree Physiology, Vol. 29, Issue. 2, p. 171.

Hilker, Thomas van Leeuwen, Martin Coops, Nicholas C. Wulder, Michael A. Newnham, Glenn J. Jupp, David L. B. and Culvenor, Darius S. 2010. Comparing canopy metrics derived from terrestrial and airborne laser scanning in a Douglas-fir dominated forest stand. Trees, Vol. 24, Issue. 5, p. 819.

Gonsamo, Alemu Walter, Jean-Michel Chen, Jing M. Pellikka, Petri and Schleppi, Patrick 2018. A robust leaf area index algorithm accounting for the expected errors in gap fraction observations. Agricultural and Forest Meteorology, Vol. 248, Issue. , p. 197.

Ma, Xu Wang, Tiejun Lu, Lei Huang, Huaguo Ding, Jianli and Zhang, Fei 2022. Developing a 3D clumping index model to improve optical measurement accuracy of crop leaf area index. Field Crops Research, Vol. 275, Issue. , p. 108361.

Ma, Xu Ding, Jianli Wang, Tiejun Lu, Lei Sun, Hui Zhang, Fei Cheng, Xiao and Nurmemet, Ilyas 2023. A Pixel Dichotomy Coupled Linear Kernel-Driven Model for Estimating Fractional Vegetation Cover in Arid Areas From High-Spatial-Resolution Images. IEEE Transactions on Geoscience and Remote Sensing, Vol. 61, Issue. , p. 1.

Ma, Xu Ding, Jianli Sun, Hui Lu, Lei Cheng, Xiao Zhang, Fei and Xu, Zhonglin 2024. A new computationally efficient algorithm to generate global fractional vegetation cover from Sentinel-2 imagery at 10 m resolution. International Journal of Digital Earth, Vol. 17, Issue. 1,

Sun, Hui Ma, Xu Liu, Ying Zhou, Guiyun Ding, Jianli Lu, Lei Wang, Tiejun Yang, Qiuli Shu, Qingtai and Zhang, Fei 2024. A New Multiangle Method for Estimating Fractional Biocrust Coverage From Sentinel-2 Data in Arid Areas. IEEE Transactions on Geoscience and Remote Sensing, Vol. 62, Issue. , p. 1.

Article contents

An integral equation from phytology

Extract

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests