Interesting question..First hand information on the issue says , these parameters are  inter-linked to each other...

Correlation between BOD, COD and TOC..

Cubic Equation : BOD = 3.376E- 7 (COD)3 + 6.82E- 4 (COD)2 + 3.96E –4 (COD) + 4.822.For BOD versus TOC, exponential equation is preferable because of lesser errors. For BOD versus COD, cubic equation gives better estimation...PDF enclosed fro further reading ..

The empirical equation provided certainly has value for the source water that was used to generate data for statistical (regression) analysis.  However, this relationship can vary from site to site, and from water to water.  It is heavily dependent on the  origin/source and composition of the water/solution. 

mr. Srivastava, that's paper you send have zero citation and if (impact factor) of that journal is very few (0.75).

That mean DOM concentration has certain correlation with BOD, COD, TOC?

Most important of all ,  is the inter-relation  between BOD, COD and TOC...

Yes, BOD, COD and TOC are interrelated to each other.

Please do not forget that in municipal wastewaters half (or more) of all organic matter  is present in suspended (not dissolved) form.

There are not exact theoritical formulas and all existing relationships are also empirical depending on the type of organic matter. 

in general,

BOD is always less than COD Also, dissolved TOC is always less than Dissolved OM

It is important the following paper:

Dubber and Gray, Replacement of chemical oxygen demand (COD) with total organic carbon (TOC) for monitoring wastewater treatment performance to minimize disposal of toxic analytical waste, Journal of Environmental Science and Health, Part A: Toxic/Hazardous Substances and Environmental Engineering Volume 45, Issue 12, 2010 (see attached file)

The study examined the replacement of COD with total organic carbon (TOC) for general performance monitoring by comparing their relationship with influent and effluent samples from 11 wastewater treatment plants. Biochemical oxygen demand (BOD5) was also included in the comparison as a control. The results show significant linear relationships between TOC, COD and BOD5 in settled (influent) domestic and municipal wastewaters, but only between COD and TOC in treated effluents. The study concludes that TOC can be reliably used for the generic replacement of both COD (COD = 49.2 + 3.00*TOC) and BOD5 (BOD5= 23.7 + 1.68*TOC) in influent wastewaters but only for COD (COD = 7.25 + 2.99*TOC) in final effluents.

There are some other empirical correlation, which should be established site by site. The problem is under discussion by EU Commission because COD uses dichromate and it should be substituted by TOC.

Firstly  it should be recognized that, when substituting TOC for COD,  a new parameter is being introduced measuring  both  oxygen - consuming and oxidized substances  found in influent wastewater. In this respect the TOC parameter  may prove to be inadequate to describe the level of performance of a biological treatment plant, normally based upon the oxidation of organic matter.  In the case the requirements for discharge are being expressed as minimum percentage of reduction of the polluting load  based upon TOC, such measurements may exhibit  inconsistently low values whenever the organic carbon in the influent is not completely oxidized to carbon dioxide.

     While theoretically a good COD/TOC correlation may be estabilished, however this one is strongly affected by the chemical characterization of wastewater undergoing treatment. This is the reason why the Commission proposal suggests that for each treatment plant such a correlation should be estabilished.  However it is unclear how  the setting up of a fixed value of 30 mg C/l may result  coherent with a varying   correlation from plant to plant.  

    Following the estabilishment of such a correlation (whose responsibility should be properly allocated), resulting from a linked application at any plant of both methods for a period not lower  than 2 years, a limit value of TOC parameter could  be chosen corresponding to the COD value of 125 mg O2 /l.

there was also a connected question in researchgate

https://www.researchgate.net/post/How_BOD_will_behave_from_its_upstream_to_the_mouth_of_a_river_In_relation_to_BOD_is_it_possible_to_find_an_approximate_relationship_with_COd

similar issue in a previous question

https://www.researchgate.net/post/What_is_the_relation_factor_of_COD_and_BOD_of_a_river_sample

https://www.researchgate.net/post/W...or_of_COD_and_BOD_of_a_river_sample

I think the following link is useful,

https://cgi.tu-harburg.de/~awwweb/wbt/emwater/lessons/lesson_a1/lm_pg_1068.html

An empirical relationship exists between BOD5, COD, and TOC. However, the specific relationship must be established for each sample location in a plant. That is, the relationship between the BOD5, COD, and TOC from a given sample location is site-specific. Once the correlation has been established, the COD test is useful for monitoring and process control. Without BOD5 data correlated to COD data, the ratios in Table 1 can be used to estimate (roughly approximate, really) the relationship between COD, BOD5, and/or TOC.   

Data source links:

http://rofacts.com/Treatment/Activated_Sludge/BOD-COD-TOC/bod-cod-toc.html

http://webcache.googleusercontent.com/search?q=cache:c7q7-Qjdy4EJ:scihub.org/AJSIR/PDF/2010/1/AJSIR-1-1-76-80.pdf+&cd=13&hl=en&ct=clnk&gl=bd

https://webcache.googleusercontent.com/search?q=cache:i0HGbOwY__AJ:https://pdfs.semanticscholar.org/e6e4/7b0aca7f3d6f67aaa39b1e6df7b8111f23bc.pdf+&cd=14&hl=en&ct=clnk&gl=bd