In 1992, William Rees developed a method of measuring environmental impact called “appropriated [this quantity]” or ecological footprint. The Levins model used to study patch dynamics represents this quantity as “one minus the extinction rate over the colonization rate.” This quantity and an “unstable” threshold value denoted A appear as denominators in equations modelling the Allee effect. A capital letter denoting this quantity names a life history strategy followed by organisms that rear a (*) small number of slow-maturing offspring and live in crowded conditions. During logistic growth, a population initially grows rapidly and then stabilizes as it approaches this quantity denoted capital K. For 10 points, name this maximum population size that an environment can support. ■END■
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 50% | 75% | 84.75 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 0% | 75% | 108.75 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 6 | 100% | 33% | 33% | 92.50 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 100% | 0% | 25% | 90.25 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 100% | 33% | 33% | 89.33 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 3 | 100% | 33% | 33% | 78.00 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 100% | 0% | 100% | 109.50 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 100% | 14% | 14% | 88.57 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 100% | 0% | 22% | 101.11 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 50% | 0% | 63.50 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 100% | 0% | 50% | 96.50 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Thomas Wu | Berkeley C | Free Win | 17 | -5 |
| Aatreyo Bhattacharyya | abg academy | New Young Whigs of America | 38 | 15 |
| Josh Koch | Michigan B | Pittsburgh | 40 | -5 |
| Omer Korkmaz | JHU B | Maryland A | 55 | 15 |
| Kelvin Ni | NYU B | Maryland C | 56 | -5 |
| Ben Krasnoff | VJ Edgecombe School of Interior Design - Edwardsville | Truman State | 56 | -5 |
| Ezra Santos | UChicago A | Northwestern B | 59 | -5 |
| Alec Zelek | Toronto E | Queen's is monitoring the situation | 59 | 15 |
| June Yin | WashU Kiki | WashU Bouba | 59 | -5 |
| Jacob Goodson | Ohio State B | CWRU | 62 | 15 |
| Danny Han | Stanford B | The best time to buzz was twenty clues ago. The second best time to buzz is now | 67 | 15 |
| Shahar Schwartz | Free Win | Berkeley C | 68 | 15 |
| Daniel Ma | Mount Sinai | Columbia A | 70 | -5 |
| Beckett Pursey | Purdue B | Purdue A | 70 | -5 |
| Jerry Vinokurov | John Jay | JHU A | 71 | 15 |
| Swapnil Garg | Berkeley A | Berkeley B | 71 | -5 |
| Aditya Sharma | Wise Duke | Planck Sinatra | 73 | 15 |
| Oliver Hargrave | Hail to the Sheaf | Paul Quifford, or, It Was a Dark and Stormy Tournament | 74 | -5 |
| Jonathan Huang | MIT A | Brown | 74 | 10 |
| Allan Lee | Stanford A | In Search of Lost Clues | 75 | -5 |
| Delia Cropper | Penn and the Art of Tossup-Bonus cycle Maintenance | Knorr Stock Clue | 75 | -5 |
| Stephen Walsh | Northwestern A | UChicago B | 75 | -5 |
| Asha Basu | McGill B | Waterloo you are crooked | 77 | -5 |
| Orion Keller | VT A | VT B | 77 | -5 |
| Matthew He | Texas B | Central Oklahoma | 77 | 10 |
| Graham Troy | UNC A | UNC B | 78 | 10 |
| Colin Veevers | Ottawa 67s | Aweille Kevin Fan osti continue comme ça | 78 | 10 |
| Chris Stewart | Oklahoma | Texas A | 82 | -5 |
| Kunaal Chandrashekar | Toronto G | Carleton A | 82 | 10 |
| Evan Lynch | Washed Scrubs | Burnaburiash's Lapis Lazuli | 83 | 10 |
| Emily Kadolph | VT B | VT A | 83 | 10 |
| Sidarth Erat | MIT B | Yale | 84 | -5 |
| Joy An | Harvard | I've been running into you in my lead plumbocene what could have benzene | 86 | 10 |
| Ankit Aggarwal | In Search of Lost Clues | Stanford A | 88 | 10 |
| Will Alston | rusty shackleford | Wake Up Paddington A Washington Mystery | 89 | 10 |
| Andrew Wang | Illinois | Indiana | 94 | 10 |
| Amir Dolansky | Toronto Murder on the Rider Express | McGill Fartlets | 94 | 10 |
| Ethan Webb | Of Mice and Penn | Quiztian Bale in Ratman Begins | 97 | 10 |
| Cade Reinberger | RIT | Brandeis | 99 | 10 |
| Ben Hellman | Swarthmore | Maryland B | 99 | 10 |
| Ryan Rosenberg | NYU A | Columbia B | 99 | 10 |
| Linus Luu | question mark | Alas poor Warwick, I knew him Edinburgh | 99 | 10 |
| Jason Zhang | Toronto Operation PBSuccess | Guelph perfomative male competition | 99 | 10 |
| Kevin Flanagan | Bristold | why is it called a score clue if nobody scores points on it | 99 | 10 |
| Jacob Bicol | #OpenToBuzz | Toronto Sunshine Bubbles | 99 | 10 |
| Joseph Krol | To buzz is to be perceived | Chimp Brisket | 100 | 10 |
| Aditya Patnaik | Ohio State A | Michigan A | 101 | 10 |
| Michael Wu | Coughing Baby | The Bit and the Penndulum | 101 | 10 |
| William Orr | Yale | MIT B | 102 | 10 |
| Travis Johnson | Pittsburgh | Michigan B | 105 | 10 |
| Oliver West | Galactic Ombudsmen | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 105 | 10 |
| Eric Yang | Purdue A | Purdue B | 109 | 10 |
| Caleb Ott | Waterloo you are crooked | McGill B | 109 | 10 |
| Donal Ryan | Truman State | VJ Edgecombe School of Interior Design - Edwardsville | 109 | 10 |
| Sam Moore | Knorr Stock Clue | Penn and the Art of Tossup-Bonus cycle Maintenance | 110 | 10 |
| Paul Lee | WashU Bouba | WashU Kiki | 110 | 10 |
| Moses Kitakule | Columbia A | Mount Sinai | 115 | 10 |
| Daniel Kim | Maryland C | NYU B | 116 | 10 |
| Anuttam Ramji | Berkeley B | Berkeley A | 116 | 10 |
| Robert Crawley | Paul Quifford, or, It Was a Dark and Stormy Tournament | Hail to the Sheaf | 116 | 10 |
| Samarth Ram | UChicago B | Northwestern A | 116 | 10 |
| Aditya Rajesh | Northwestern B | UChicago A | 116 | 10 |
| Bryce Cruise | Texas A | Oklahoma | 116 | 10 |