Friday 3/7
description
Transcript of Friday 3/7
![Page 1: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/1.jpg)
Friday 3/7
1. Pop Quiz #72. Turtles and Snakes ID Quiz3. Notes on population math from Chs 9 and 104. Lab 4B5. Lab 4A - 15 SP only (for homework)
30 (lab 7) + 20 (PQ 7) + 15 (S&T ID) + (10 wk8Eng)= 75!
![Page 2: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/2.jpg)
Pop Quiz #7
![Page 3: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/3.jpg)
Snakes begins on next slide
![Page 4: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/4.jpg)
1
![Page 5: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/5.jpg)
2
![Page 6: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/6.jpg)
3
![Page 7: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/7.jpg)
4
![Page 8: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/8.jpg)
5
![Page 9: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/9.jpg)
6
![Page 10: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/10.jpg)
7
![Page 11: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/11.jpg)
8
![Page 12: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/12.jpg)
9
![Page 13: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/13.jpg)
10
![Page 14: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/14.jpg)
• We’ve talked about (at least) one way to determine if a population is growing
• ?
![Page 15: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/15.jpg)
Rate?
![Page 16: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/16.jpg)
Rate?
• Variable per time
![Page 17: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/17.jpg)
Rate?
• Variable per time• N, t
N/t = rate• Individuals added per unit time = rate of
growth
![Page 18: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/18.jpg)
BUT,
• The growth rate will change in response to other variables
• Like what?
![Page 19: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/19.jpg)
So, Change in Rate
dN/dt
![Page 20: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/20.jpg)
So, Change in Rate
dN/dt
=rN
![Page 21: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/21.jpg)
This is compounding
dN/dt = rN
Because as N gets larger, the constant r multiples by a larger and larger number.
As population size (N) increases, the rate of increase gets larger.
The result of this compounding is an exponential growth curve. (p 243, 244, 245 Molles; p 67 Kingsolver for examples)
![Page 22: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/22.jpg)
PS - Stretch it out
• By plotting this same data on a logarithmic scale (10X at each increase), the line straightens out (p 68 Kingsolver)
![Page 23: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/23.jpg)
In exponential growth
• We can determine the population size at any time (t), by:
Nt = N0ert
![Page 24: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/24.jpg)
P 244 Molles
![Page 25: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/25.jpg)
Can exponential growth continue forever?
![Page 26: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/26.jpg)
Can exponential growth continue forever?
• Stay tuned for logarithmic (more realistic) growth models (11.2 – 11.3)
![Page 27: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/27.jpg)
Lab 4B
![Page 28: Friday 3/7](https://reader036.fdocuments.us/reader036/viewer/2022062305/568152b7550346895dc0da54/html5/thumbnails/28.jpg)
For Monday
• Read Molles 11.2 and 11.3• Finish AA sheep
• Monday is last day to withdraw from full semester courses
• Exam 2 is M 3/31 – Ch 9-12• Five labs left – all field