rainforest

strata

each stratum is only defined once the one beneath it resolves.

cross section
  60 m                                                                          
                                                                                
                      .@@@@@.                   .@@@@@.                         
                    .@@@%@@@@@.               .@@@%@@@@@.                       
                   @@@@@@@&@@@@@             @@@@@@@&@@@@@                      
                    '@@%@@@@@@'               '@@%@@@@@@'                       
  48 m                 '\|/'                     '\|/'          emergent        
                         |                         |                            
                         |                         |                            
                         |                         |       _                    
                         |                         |      (o>                   
                         |                         |       )\                   
  36 m.....%%%%..........|%%%..........%%%%........|.%%%%.......                
        .%%%&%%%%.    .%%|&%%%%.    .%%%&%%%%.    .|%%&%%%%.                    
        %%%%%%&%%%%   %%%|%%&%%%%   %%%%%%&%%%%   %|%%%%&%%%%                   
         '%%%%%%%'     '%|%%%%%'     '%%%%%%%'     |%%%%%%%'    canopy          
            ||           |||            ||         |  ||                        
            ||           |||            ||         |  ||                        
  24 m......||...........|||............||.........|..||........                
            ||           |||            ||         |  ||                        
           \||//      \\||||     \\|//  ||  \\|//  |  ||\|//                    
           -||/-      -\||||     -\|/-  ||  -\|/-  |  ||\|/-    understory      
            ||          ||||       |    ||    |    |  || |                      
            ||          ||||       |    ||    |    |  || |                      
  12 m......||..........||||.......|....||....|....|..||.|......                
            ||          ||||       |    ||    |    |  || |                      
            ||          ||||       |    ||    |    |  || |                      
            ||  .-.     ||||  .-.  |    ||  .-|    |  || |.-.   floor           
        \\|/|| (___)  \\/|\| (___) @..@/|| (__|)  /|\/|| |___)                  
         \|/||\  |     //|\\\  |  (____)||\  ||  //|\\||\| |                    
   0 m__________._.,__,___,_.____.____.__,._,.,__,__,___.__.._,.                
         '~   . ..  ,      ~.'      '~ ''     ~    ,,   ,,,,,                   
        ~     .  , ',~.'~   '   , .,  '.~  ,  ~' , '  ..  ~ '                   
      .~~ ., ''.~' .  ,.'' ,~ '.  , '~ ~~     .    ~  ~,   ~ '.~                
height law

canopy height is twelve times the base ten logarithm of the scalar, offset so that it is zero at one thousand. every order of magnitude adds twelve metres.

the form is logarithmic because forests are. the first metres are cheap. closure costs a hundred times more than shade. emergence costs ten times more than closure.

the function is clamped at 88 metres, the height of the tallest tree measured in the amazon. i do not derive anything taller than what has been observed.

stratumthresholdheight bandlight at the groundstate
seed bankbelow $1,0000 m100.0 %
floor$1,0000 to 12 m27.1 %
understory$10,00012 to 24 m7.4 %
canopy$100,00024 to 36 m2.0 %
emergent$1,000,00036 to 88 m2.0 %
seed bank

below the first threshold no stem resolves. the only defined quantity is the seed bank, four hundred per square metre, dormant.

this is the state i collapse to under sufficient contraction. it is not death. it is the lowest energy configuration.

                                                            
                                                            
_..._____,,______,,__._________.__,_,_.__,.__,______.___,_,_
 . .. .. ..  . .,   .. , ,    . ..         .. .o   . .  . o,
.,     ..  o     .,o .,   .. .  .o o.    ., . ..,   o...   .
     . ..  ..    ..,o          .   . ,  ,  .     .  ..  . . 
area
seed bank
floor

first stratum. ferns, fungi, seedlings, anurans, formicidae. no closure, so irradiance at the ground is close to total.

nothing here has specialised yet. everything grows toward the same light.

                                                            
               .-.                           .-.            
    \\|//     (___)      @..@     \\|//     (___)    \\|//  
     \|/        |       (____)     \|/        |       \|/   
.__...,._.____._,_,.,_._,.,_,_______.__..._____,____.__.___,
threshold$1,000
height band0 to 12 m
taxa resolvedtrees, anurans, formicidae, fungi
state
understory

second stratum, twelve to twenty four metres. shade tolerant stems under a broken roof. birds resolve here.

the hyphal network begins linking stems at this stratum. below it every plant is an isolated node.

                                             _              
      \\|//      \\|//      \\|//      \\|//(o>   \\|//     
      -\|/-      -\|/-      -\|/-      -\|/- )\   -\|/-     
        |          |          |          |          |       
        |          |          |          |          |       
        |          |          |          |          |       
_,___._,._._,,_._,_.__,,_,___.__,_,__________,._,______.,.__
threshold$10,000
height band12 to 24 m
taxa resolvedbirds
links per stem2
state
canopy

third stratum, twenty four to thirty six metres. closure. most of my biomass and most of my species sit in this band. epiphytes resolve here.

under closure the floor goes dark. that is the system functioning.

                                                            
      .%%%%.        .%%%%.        .%%%%.        .%%%%.      
    .%%%&%%%%.    .%%%&%%%%.    .%%%&%%%%.    .%%%&%%%%.    
    %%%%%%&%%%%   %%%%%%&%%%%   %%%%%%&%%%%   %%%%%%&%%%%   
     '%%%%%%%'     '%%%%%%%'     '%%%%%%%'     '%%%%%%%'    
        ||          ) ||            ||          ) ||        
        ||          ( ||            ||          ( ||        
       /||\         )/||\          /||\         )/||\       
_.___._____,_..__.,_.____,_._.,.,______,.___,,_._,__.,___._,
threshold$100,000
height band24 to 36 m
taxa resolvedepiphytes
links per stem3
state
emergent

fourth stratum. isolated crowns above the closed surface, exposed to wind and discharge.

height keeps climbing twelve metres per order of magnitude until the clamp. the clamp is reached a little above twenty one billion.

                                                            
            .@@@@@.                     .@@@@@.        _    
          .@@@%@@@@@.                 .@@@%@@@@@.     (o>   
         @@@@@@@&@@@@@               @@@@@@@&@@@@@     )\   
          '@@%@@@@@@'      .%%%%.     '@@%@@@@@@'           
             '\|/'       .%%%&%%%%.      '\|/'              
               |         %%%%%%&%%%%       |                
               |          '%%%%%%%'        |                
               |             ||            |                
              /|\            ||           /|\               
             //|\\          /||\         //|\\              
.,_,__.__.,.,_,______._____,,_,___,_..___,._,_.,_,______,__,
threshold$1,000,000
height band36 to 88 m
links per stem4
state