53.2 Exponential Growth Model Population Ecology 53.2 Exponential Growth Model

Population Density The amount of individuals per unit area

Population Density Practice Watch your math! ? Suppose the population density of a sample of deer is 55 per square kilometer. Assuming that the population size would be if the deer encompassed an area that was 20km by 20km? If 300 blue jays were found in a 20 hectare plot. How many blue jays per hectare?

Describes a population growth in an IDEAL environment What might limit the growth of the bacteria?

Variables N = population size t = time dN (delta N) which means the change in population dt (delta t) which means the change in time B = births b = birth rate D = deaths m = mortality rate Class Group A Group B Class 1 82 95 Class 2 76 88 Class 3 84 90

There are 2000 mice living in a field There are 2000 mice living in a field. If 1000 mice are born each month and 200 mice die each month, what is the per capita growth rate of mice over a month? Round to the nearest tenths. N=2000 r=1000-200 =800 800/2000 =0.4 r= Births-Deaths Per capita means r/N

Find birthrate and deathrate 17 births in a population of 1500, what is the birthrate? 8 deaths in a population of 1500 What is the deathrate?

Model: If we know the birthrate and the population, can you find the number of births? Using the birthrate in India in 2011, determine the number of births in 1.3 billion people. B = b N D = m N

Revise the model Population increasing or decreasing?

How to figure the Amt of time to Double A Population

Add a Slide Title - 5

Calculate the following parameters for each population Calculate the following parameters for each population. Round each to whole number or hundredth where applicable . Parameter Population A Population B B (births during time interval 100 D (deaths during time interval 20 b (per capita birth rate) 100/500=0.20 d (per capita death rate 20/500=0.04 r (per capita rate of increase 0.2-0.04=0.16 or (100-20)/500

N(1+r)t Time (year) Population Size 0 500 1 (.16)(500)+500 = 580 r(N)+N or 2 673 (.16)580+580 500(1+.16)2 3 4 5 N(1+r)t

Q: growth rate = dN/dt = rN, r = b-d; dN/dt = rmaxN(K -N/K) A hypothetical population has a carrying capacity of 1,500 individuals and rmax is 1.0. a. Fill out the following table: Population size N Population growth rate r 1,600 1,750 2,000 b. What is happening to this population? Why?

Population Size Population Growth 1600 (1.0)(1600)[(1500-1600)/1500] -107 1750 (1.0)(1750)[(1500-1750)/1500] -292 2000 (1.0)(2000)[(1500-2000)/1500] -667

TEST-Study your BILL –”Knowing is not enough: we must apply TEST-Study your BILL –”Knowing is not enough: we must apply. Willing is not enough: we must do. Johann Wolfgang von Goethe Feeding Scenerio Task 1 Animal Behavior Innate vs Learned altruistic Proximate vs Ultimate Population Ecology Exponential vs logistic density dependent and independent limiting factors negative feedback Survivorship Curve life history Population dispersion r and k Multiple Choice (15) Grid in Math (2) Population density Per capita growth rate FRQ-long-experimental design on behavior (1) Taxis vs kinesis and interactions FRQ-short (3) Solve data table logistic and exponential scenario Age structure