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lotka volterra model
differential equations to describe predator prey dynamics, characterized in oscillations in population size of both predator and prey where predator peak lags behind the prey
assumptions of lotka volterra
1. prey population will grow exponentially when predator absent 2. predator population starves in absence of prey (as opposed to prey switch) 3. predators can consume infinite quantities of prey 4. no environmental complexity (both populations moving randomly through homogenous environ…
in the lotka volterra population model for a prey population, which process is directly affected by predators?
deaths
most important fact limiting primary production in the open ocean
primary production: capture of light energy and its conversion to chemical energy -aquatic systems are nutrient limited
what is the open ocean limited by in primary production
nitrogen and phosphorus
what limits fresh water primary production
phosphorus
what are terrestrial environments limited by for primary production
water, but can also be limited by fertilizers and nitrogen
ecotones
regions of rapid replacement of species along a gradient, clear community boundaries 
total energy assimilated by primary producers
NPP + production in dark = GPP (gross primary production) 
a species diversity index, like simpsons takes into account
number of species and relative abundance of species
top down effects
predator eats prey, prey population is reduced and indirectly increase the next lower trophic level
keystone predator
large impact on top down, must be there for other species to exist
bottom up effects
increased production results in greater productivity at all trophic levels
NPP dependence on light and temperature
there is a saturation point where photosynthesis will no longer exist! rate of photosynthesis will increase with temp up to a point (rate of respiration also increases), net assimilation will decrease at high temps
limit on trophic levels in a food chain
energy loss at each trophic level limits the number of trophic levels to 4-5 max (mostly around 3-5)
what does competition do to K?
decrease
lowest net primary production ecosystem
open ocean and subtropical desert
highest NPP ecosystem
algal beds and reefs then swamp and marsh
trend between bivalve species diversity and earths latitude
as latitude increases, diversity decerases
species diversity correlations
energy input: species richness increases with PET up to a threshold complex habitats: more diversity island further from mainland: less diversity
leaf cutter ants relationship with fungus
mutual, nitrogen is the limiting resource for fungus
type I functional resposne
predicts there is no upper limit to prey consumption assumed by lotka volterra models, reasonable over some ranges of prey density, may also be good for filter feeders, generally unrealistic due to satiation and handling time, linear 
type II dunctional respinse
predicts prey consumption per predator levels off, allows for the effects of handling time, logarithmic (exponential)
type II functional response
prey consumption starts slow, picks up then levels off, highest consumption at intermediate prey density, at low density the prey can recover due to limited safe spaces, inexperienced hunters and prey switching, S curve
photosynthetic efficiency of the ecosystem
1-2%, remaining energy is reflected absorbed or dissipated, light is rarely the limiting resource
pattern in island biodiversity
island size and distance to mainland
species richness
number of species present
assimilation efficiency
assimilation/ingestion function of food quality

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