Traditionally the Red-edge regio is quite often used to estimate chlorophyll content. But some authors have published and validated the relationship between the red edge and LAI as well. As a matter of fact the red edge seems to be the most sensitive spectral area for the determination of LAI.
I add here a presentation of a study in Valencia, Barrax (Spain) and the Negev (Israel) which proves this point quite convincingly for hyperspectral data.
Hope this helps.
Cheers,
Frank
Reference 1:
A red-edge spectral index for remote sensing estimation of green LAI over agroecosystems European Journal of Agronomy, Volume 46, Issue null, Pages 42-52
J. Delegido, J. Verrelst, C.M. Meza, J.P. Rivera, L. Alonso, J. Moreno.
I have made a quick search the relationship between Red-Edge and leaf area index (LAI). i found the following "The red edge region is considered to contain more information on biomass quantity and LAI as compared to other parts of the electromagnetic spectrum (Mutanga and Skidmore, 2004)."
You will work with Vegetation Indices using Remote Sensing Data. Choose the satellite data and then you need to approach in terms of NDVI and other indices.
In case if you use onsite data then use Biodiversity Economics approach vegetation indices.
I suggest you the following papers for Red Edge and LAI relationshps:
1. Green Leaf Area Index Estimation in Maize and Soybean: Combining Vegetation Indices to Achieve Maximal Sensitivity
Anthony Nguy-Robertson, Anatoly Gitelson,* Yi Peng, Andrés Viña,
Timothy Arkebauer, and Donald Rundquist
Agronomy Journal • Volume 104, Issue 5 • 2012
2. Optimal waveband identification for estimation of leaf area index of paddy rice*
Wang et al. / J Zhejiang Univ Sci B 2008 9(12):953-963