Please tell us, in what kind of area your data has been collected? it's the tropical area? Before to use some method to estimate the tree carbon stocks it is important to know the area type, state area and type of trees (including the wood density).
Mr Sohrabi was right. You may use following regression equations for calculating biomass of Azdirachta indica and Albizia saman respectively. Study site condition of the stands were sub-tropical (Bangladesh), tree, plantation and natural forest. You may use this for Indian Subcontinent.
1. Regression for Azdirachta indica: -11.3334+2.25814*(LOG(X^(1))); where X is DBH
2. Regression for Albizia saman: (-9.1864)+1.8505*(log(X^(1)))+0.8234*(log(Z^(1))); where where X is DBH, Z is Ht
Reference for both reg. were:
1. Latif, M.A. & Islam, S.M.Z. Mathematical models and tables on growth,yield,volume and biomass for important trees in Bangladesh.11pp .
2. Islam, S. S., Kabir, J.& Masum, A.K.M. 2012. Volume Table of Raintree (Samanea Saman) in Bangladesh by Regression Technique. Open Journal of Statistics, 2: 115-119.
There is not a single method which is standard in case of carbon sequestration. You can calculate only some predictable amount not the real. However, based on prediction, we can assume the accurate rate of carbon sequestration. As it is very difficult to estimate accurately below-ground carbon and carbon available in the inorganic form in the soil layer. Therefore, through my experience, not a single method available as to be referred as standard method for accurate estimation.
@ Hormoz Sohrabi, @ Rajiv Pandey, @Romeo Ekoungoulou and Md. Siddiqur Rahman all of you are correct in regression equation procedure. But though this, you can calculate standing state of carbon stock present in an individual tree and it should be again quantify on the basis of stocking density of individual tree available in the forest. But how much C is going to converted in available form (CO2) and how much quantity is present in fine roots component. Moreover, how much carbon going to leach out in the rhizospheric soil (below-ground) through root exudate.
Of course, impossible word is not found in scientific dictionary. So, I hope you may understand about challenge and limitations during estimation of soil carbon sequestration. Moreover, soil carbon sequestration mechanisms are still unexplored from various ecosystems. I suggest you, do some experiment on tree seedlings at nursery stage and at planted seedlings stage in a field. There you should develop regression equation of each species with all component across diameter as well as volume. After that, correlate your data with findings of the same trees available in forest ecosystem, also, calculate soil respiration simultaneously. After that, I can hope for total soil carbon sequestration rate.
For your tropical area, please use the methodology of allometric equations from Chave et al. (2005) which is not standard model but better for your case to estimate the biomass of tropical trees like the aboveground biomass. The paper of Chave et al. 2005 can help you about your study. Thus, it is impotant to mention that carbon stock is typically derived from aboveground biomass by assuming that 50% of the biomass is made up by carbon. Please find attached Chave et al. (2005).
- Chave J, Andalo C, Brown S, Cairns MA, Chambers JQ, Eamus D, Fölster H, Fromard F, Higuchi N, Kira T, Lescure J-P, Nelson BW, Ogawa H, Puig H, Riéra B and Yamakura T. (2005). Tree allometry and improved estimation of carbon stocks and balance in tropical forests. Oecologia 145: 87-99.
It is not always simple to obtain a precise estimation of carbon sequestration in trees. You may be interested in the following paper, which highlight some of the problems you can encounter using the standard equation. For example for the over/under bark diameter, and cracks in the bark. Or variation in the C concentration variation in the tree.
SIncerely
f danjon
Carbon concentration variations in the roots, stem and crown of mature Pinus pinaster (Ait.)
Perhaps term it 'carbon content of biomass' or something- sequestration implies permanence. A forest might be considered to 'sequester' carbon in that it will hold carbon in both old and new growth. A tree dies and releases carbon, as well as emitting some carbon in life.
Several answers have addressed direct calculation of the carbon stored in the biomass of a tree or set of trees (allometric relationships; regression equations; ratio of carbon to total biomass). However, sequestration also includes projections of the future rates of tree growth and carbon removal from the atmosphere, appropriately adjusted for tree death, decay, and removal. These projections are usually based on carbon accounting models that include appropriate parameters and tree growth equations (there are several in the literature and on the Internet, including CO2FIX and GORCAM). Because these models can be complex, they are sometimes replaced by "standard" calculations for regulatory purposes. An excellent reference for this sort of approach is found in the US Department of Energy Technical Guidelines for Voluntary Reporting of Greenhouse Gases Program, Part I Appendix (see http://www.eia.gov/survey/form/eia_1605/gdlins.html). Additional methodologies have been developed by carbon trading standards organizations, and often also include approaches for the associated soil carbon storage. A nice set of methodology references can be found on the Verified Carbon Standard web site at http://www.v-c-s.org/methodologies/find-a-methodology?keywords=&tid=14&=Search
There is a very thorough and reliable summary of some of the concepts and approaches to estimating carbon sequestration in forests by Deb Clark (citation below).
Generally, you would need some way to estimate annual growth. This can be done using dendrochronology or tree rings, if your species of trees have seasonal growth that creates annual rings (not always true if your location is in the tropics). You can then reconstruct tree diameters from tree rings, and use allometric equations to convert diameter to biomass. For this approach, you would need allometric equations for the species in your sample. But I recommend reading the Clark paper for a proper introduction.
Clark DA, Brown S, Kicklighter DW, Chambers JQ, Thomlinson JR,
Jian N (2001) Measuring net primary production in forests: concepts
and field methods. Ecological Applications 11:356–370
standrd method used for differences between equations involves three tests : (1) test for equal variances (2) equal slopes (3) test for equal y-intercepts . This method requires original tree data, or at least the regression standard error of estimate,
Kindly find literature of Prof. H. Ravindra Nath (Bngalore) and his coworkers working at Indian institute of Science, Bangalore. He and his team published several research papers on carbon sequestration from India especially Bangalore city. And, also find literature from Nowak et al. They published about 100 research papers on urban ecosystem, carbon sequestration in urban area or from a city. I hope, you can get lot of information from H. Ravindra Nath and from Nowak et al. They are pioneer workers in area of urban ecology.
As for your question is concern, I am still on my own stand that there is not a single procedure by which you can calculate rate of carbon sequestration as a total from an individual tree.
Moreover, If you want from soil, then ask to Prof. Rattan lal (Ohio State University, USA). He and his team has published more than two hundred good articles on soil carbon sequestration including some edited books.
Also, the appendix of the following book gives good information on this:
Harnessing Farms and Forests in the Low Carbon Economy: How to Create, Measure and Verify Greenhouse Gas Offsets. Nicholas Institute for Environmental Policy Solutions. Zach Willey an Bill Chameides (Editors).
I think the previous responses have covered the ground. Standard mensuration approach to determine tree component biomass; for branches and foliage by direct measurement, for stems via volume and wood density. Then use allometric relationships between tree dbhob and biomass to scale up from trees to stands to calculate biomass per unit area. Not difficult but time and labour consuming.
You can use two methods for it. One is using modeling method. This method use equations adjusted in function of the tree growth characteristics. This depend of the model accurate. Another method is using the determination of the dry mass and carbon content of the tree (can be by subdivision of the plant in compartiments - stem, root, leaf, branch, ...). Carbon content varies in function of these compartiments. In general, the most of researchs use the average 50% of carbon content for biomass, however this isn't real.
As mentioned the most common approach for forest C inventory is to utilize allometric equations for biomass, and then to assume that woody tissue is 50% carbon. This latter assumption is, however, incorrect - see publications below for guidance.
Article A Reassessment of Carbon Content in Tropical Trees
Islam, S. S., Kabir, J.& Masum, A.K.M. 2012. Volume Table of Raintree (Samanea Saman) in Bangladesh by Regression Technique. Open Journal of Statistics, 2: 115-119.
Could you please send me the PDF by any chance? Thank you
For more accuracy and specific we can go for coring method for carbon determination for wood biomass of trees even at different ages. instead of felling trees we can core the tree and estimate the carbon content and than calculate carbon % which may be 45 to 50% depending up on species.