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Populations I. Demography Defining populations Distribution Counting populations (size/density) Age structure Sex ratio II. Population growth Exponential growth Logistic growth Population • What is a population? – A group of organisms of the same species occupying a particular space at a particular time. • Problems – How big is a particular space? – When is the particular time? – A group of organisms, of a single species, with equal probability of breeding with any other individual. Species • What is a species? 1 Population Characteristics • Species Equus caballus Equus asinus Population Characteristics • Species – A group of organisms capable of interbreeding A cross between a male donkey (jack) and a female horse (mare) produces a mule. A cross between a female donkey (jennet or jenny) and a male horse (stallion) produces a hinny. Population Characteristics • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • Isolation – – – – Temporal Spatial Mechanical Behavioral Genes go in but they don’t Come out! 2 LIMITATIONS TO DISTRIBUTION SPECIES ABSENT BECAUSE OF: AREA INACCESSIBLE YES DISPERSAL YES HABITAT SELECTION PREDATION PARASITISM COMPETITION DISEASE YES NO BEHAVIOR OTHER SPECIES NO PHYSICAL FACTORS TEMP, LIGHT, SOIL, FIRE CHEMICAL FACTORS WATER, OXYGEN, SALINITY, pH, NUTRIENTS (A) Original distribution of the Gypsy moth in Eurasia. (B) Spread of the Gypsy moth in the northeastern United States after accidental introduction at the end of the 19th cent. Time • Less complicated • Depends on the species Genus Magicicada http://insects.ummz.lsa.umich.edu/fauna/Michigan_Cicadas/Michigan/Index.html 3 Space • more complicated • local population (Deme) Space • more complicated • local population (Deme) Distribution Patterns • Dispersal • Dispersion 4 Dispersion • Clumped – High density in small areas surrounded by large areas with very low (or zero) density Dispersion • Random – No pattern to where organisms occur Dispersion • Uniform – Equal spacing between individuals across an area. 5 Dispersion • What is the influence of scale? Dispersion What is the influence of scale? Distribution Pattern Depends on Scale 6 • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform Genes go in but they don’t Come out! • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform 7 • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform • Species – A group of organisms capable of interbreeding and producing fertile offspring. – Isolated gene pools • • • • Temporal Spatial Mechanical Behavioral • Population – A group of organisms, of a single species, with equal probability of breeding with any other individual. • Distribution – Clumped – Random – Uniform 8 Distribution Patterns • What influences dispersion patterns? • Which dispersion pattern is most common? Dispersion • Most species exhibit a clumped distribution • How does one test for type of dispersion? • Poisson Distribution - a mathematical description of infrequent, random events – sample mean (x) = sample variance (s2) • Mean = average • Variance = • Populations with a random distribution will follow a Poisson distribution – i.e., x/s2 = 1 Dispersion x/s2 • If < 1 then distribution is clumped 2 • If x/s > 1 then distribution is Uniform • We can test this using the following equation: – Critical value = [(n1)s2]/x – Where: n = number of samples (plots) • This function has a Chi square distribution i.e., use a Chi square table with n-1 degrees of freedom 9 Chi Square Table [(n-1)s2]/x = [(25-1)2.68]/1.48 = 43.5 27 November 2001 by NASA satellites Notice the aggregated distribution LIMITATIONS TO DISTRIBUTION SPECIES ABSENT BECAUSE OF: AREA INACCESSIBLE YES DISPERSAL NO YES HABITAT SELECTION PREDATION PARASITISM COMPETITION DISEASE BEHAVIOR NO YES PHYSICAL FACTORS TEMP, LIGHT, SOIL, FIRE OTHER SPECIES NO CHEMICAL FACTORS WATER, OXYGEN, SALINITY, pH, NUTRIENTS 10 10 Truths About Ecology 1. Distribution of species is limited by barriers and unfavorable environments. 2. No population increases without limits 3. Good and poor places exist for every species 4. Overexploited populations can collapse 5. Communities can rebound from disturbance 6. Communities can exist in several stable configurations 7. Keystone species may be essential to a community 8. Natural systems recycle essential materials 9. Climates change, communities change 10. Natural systems are products of evolution 11