BOTANY 160 PLANT ECOLOGY FALL 1994 QUIZ II KEY 1. THE EXPONENTIAL GROWTH EQUATION CAN BE EXPRESSED AS rt dN/dt = rN or equivalently, N = N e t 0 (a) MODIFY THE ABOVE EQUATION TO TAKE INTO ACCOUNT THE NEGATIVE FEEDBACK OF POPULATION DENSITY ON GROWTH RATE (HINT: THE LOGISTIC EQUATION DOES THIS). dN/dt = rN((K-N)/K) (b) WHEN MODELLING A POPULATION'S GROWTH WITH THIS EQUATION SEVERAL SIMPLIFYING ASSUMPTIONS ARE MADE. LIST TWO OF THEM. - the population is homogeneous (no age or spatial structure) - generations overlap (reproduction is continuous and therefore population increase is instantaneous) 2. WHAT ARE THE TWO PROBLEMS UNIQUE TO PLANT POPULATIONS THAT ONE FACES IN CONDUCTING DEMOGRAPHIC STUDIES? - plants are modular - stage is generally more important than age - many plants have indeterminate growth - seed dormancy (timing of germination unrelated to timing of reproduction) 3. HOW DOES THE RELAY FLORISTIC MODEL OF SUCCESSION DIFFER FROM THE INITIAL FLORISTIC COMPOSITION MODEL OF SUCCESSION? The relay floristics model states that each seral stage facilitates its own replacement by altering the environment and making it more conducive to the next sere. The initial floristic composition model states that representative species of all seral stages are present initially and that eventually the late successional species replace the early successional species. 4. HOW DOES A DYNAMIC LIFE TABLE DIFFER FROM STATIC LIFE TABLE? A dynamic life table shows the fate of a cohort from birth to the death of the last individual. A static life table is constructed from age-structure data from just one time interval. Survivorship and therefore age structure of earlier age intervals is inferred (back extrapolated) from the one time interval. 5. ONE ATTRIBUTE OF A POPULATION THAT CAN BE CALCULATED FROM A LIFE TABLE IS THE BASIC REPRODUCTIVE RATE (R0). (a) WHAT IS IT? (b) HOW IS IT CALCULATED? (a) the rate at which the population is growing (either +, - or 0) (b) N /N or (Sum) l m t+1 t x x 6. (a) WHAT IS MEANT BY LIFE HISTORY? The combination of attributes that defines a species growth and reproduction pattern (growth, size, storage, reproduction (when, how often) (b) WHAT PARTICULAR ASPECT OF LIFE HISTORY IS SELECTED FOR IN A GIVEN HABITAT? Total reproductive value = realized + residual 7. LIST TWO ASPECTS OF THE LIFE HISTORIES OF R AND K SELECTED SPECIES THAT YOU WOULD EXPECT TO BE DIFFERENT. r Selected K selected - many offspring - few offspring - early reproduction - late reproduction - reproduces once - reproduces many times - small size - large size - larger % of resources - smaller % of invested in reproduction resources invested in reproduction 8. WHAT THREE THINGS NEED TO BE QUANTIFIED ABOUT A SITE IN ORDER TO ADEQUATELY DESCRIBE THE LIGHT ENVIRONMENT OF PLANTS LIVING AT THAT SITE? - light intensity - light quality - light duration