PAGE 1 Name:______________________________ HOW DO POPULATIONS GROW? Student Guide Thomas Austin was an Englishman who migrated to southern Australia to farm the land. His property, Barwon Park was located near Winchelsea, Victoria. In October of 1859, homesick for his homeland and the hunting he used to enjoy, Thomas enlisted his nephew, William Austin who still resided in England, to send two dozen wild English rabbits, which Thomas then released onto his land. Thomas dismissed the act as benign, not realizing the drastic consequences of his actions. Due to the well-known prolific nature of rabbits, and the suitability of the Australian climate, within 6 years, this population of 24 rabbits had increased to 22 million. By the 1930’s, Australia’s rabbit populations were estimated to exceed 750 million! How did the populations grow so large, so quickly? And what might the consequences be on the local ecosystem? Procedure 1. Select a partner to work with and obtain 10 pennies. The pennies represent 10 individual rabbits in a population. Place the pennies in a container and shake them up. Pour them out onto a table. Each penny that lands with a tail showing represents a rabbit that gets to produce an offspring that is added to the original population of 10. [So chances are that approximately five individuals got to reproduce and your new population contains about 15 individuals (i.e., about 15 pennies)]. Now remove 10% of your population representing individuals that have died. Round down if the number is not an integer. 2. Repeat this procedure several times until the rabbit population exceeds 100 individuals. After each episode of births and deaths (i.e., after each “generation”), record the population size (i.e., the total number of pennies) in the chart below. Also record the Idealized population size (given that exactly half of your individuals reproduced each generation with NO ONE dying—go ahead and report the idealized numbers in decimals, but only keep two decimals. I’ve gotten it started for you.) Flip/Generation Number Experimental Population Size Idealized Population Size (no death) 0 10 10 1 15 2 22.5 3 33.75 4 5 6 7 8 9 10 3. Using the graph on the next page, plot population size (on the y axis) versus flip/generation number (on the x axis). Use the data on your graph to determine the slope during each time interval (REMEMBER: slope is the change in y over the change in x, or rise over run; i.e., slope = (y/(x). Record the slopes below. Interval Slope Between generations 0 and 1 Between generations 1 and 2 Between generations 2 and 3 Between generations 3 and 4 Between generations 4 and 5 Between generations 5 and 6 Between generations 6 and 7 Between generations 7 and 8 .