▁as ▁the ▁branches , ▁scaling ▁ident ically ▁to ▁the ▁point ▁of ▁being ▁able ▁to ▁use ▁the ▁pattern ▁of ▁the ▁trees ’ ▁branches ▁mathemat ically ▁to ▁determine ▁the ▁structure ▁of ▁the ▁forest ▁stand . ▁The ▁use ▁of ▁f ract al ▁analysis ▁for ▁understanding ▁structures , ▁and ▁spatial ▁and ▁temporal ▁complexity ▁in ▁bi ological ▁systems ▁has ▁already ▁been ▁well ▁studied ▁and ▁its ▁use ▁continues ▁to ▁increase ▁in ▁e colog ical ▁research . ▁Despite ▁its ▁extensive ▁use , ▁it ▁still ▁receives ▁some ▁criticism . ▁ ▁Animal ▁behaviour ▁ ▁Pattern s ▁in ▁animal ▁behaviour ▁exhib it ▁f ract al ▁properties ▁on ▁spatial ▁and ▁temporal ▁scales . ▁F ract al ▁analysis ▁helps ▁in ▁understanding ▁the ▁behaviour ▁of ▁animals ▁and ▁how ▁they ▁interact ▁with ▁their ▁environments ▁on ▁multiple ▁scales ▁in ▁space ▁and ▁time . ▁Vari ous ▁animal ▁movement ▁sign atures ▁in ▁their ▁respective ▁environments ▁have ▁been ▁found ▁to ▁demonstrate ▁spatial ly ▁non - linear ▁f ract al ▁patterns . ▁This ▁has ▁generated ▁e colog ical ▁interpret ations ▁such ▁as ▁the ▁L év y ▁Fl ight ▁For aging ▁hypothesis , ▁which ▁has ▁proven ▁to ▁be ▁a ▁more ▁accurate ▁description ▁of ▁animal ▁movement ▁for ▁some ▁species . ▁ ▁Sp atial ▁patterns ▁and ▁animal ▁behaviour ▁sequences ▁in ▁f ract al ▁time ▁have ▁an ▁optimal ▁complexity ▁range , ▁which ▁can ▁be ▁thought ▁of ▁as ▁the ▁home ost atic ▁state ▁on ▁the ▁spectrum ▁where ▁the ▁complexity ▁sequence ▁should ▁regularly ▁fall . ▁An ▁increase ▁or ▁a ▁loss ▁in ▁complexity , ▁either ▁becoming ▁more ▁s tere ot yp ical ▁or ▁convers ely ▁more ▁random ▁in ▁their