Which of the following statement(s) regarding energy flow is/are false? 
I. $\quad$The detritus food chain begins with dead organic matter 
II.$\quad$ In aquatic ecosystem, detritus food chain is the major conduit for energy flow 
III.$\quad$ In terrestrial ecosystem a larger fraction of energy flows through grazing food$\quad$$\quad$ chain 
IV. $\quad$Producers belong to the first trophic level of the food chain