Differences

This shows you the differences between two versions of the page.

--- 2014:courses:kraenkel:single_species [2014/02/03 14:08] – [Counting individuals] prado
+++ 2014:courses:kraenkel:single_species [2024/01/09 18:45] (current) – external edit 127.0.0.1
@@ Line 13: / Line 13: @@
   * Rules of thumb for judging ecological theories, by Ginzburg & Jensen: [[http://www.sciencedirect.com/science/article/pii/S0169534703003495]]
   * The ecological literature, an idea-free distribution, by S. Scheimer: [[http://onlinelibrary.wiley.com/doi/10.1111/ele.12196/full]]. A great editorial on the current state of theory in ecology.
-  * Kraenkel's career in Mathematical Biology Profiles from the SMB Newsletter: [[http://www.smb.org/publications/newsletter/bios.shtml]]
+  * My career in Mathematical Biology Profiles from the SMB Newsletter: [[http://www.smb.org/publications/newsletter/bios.shtml]]
   * Mathematics Is Biology's Next Microscope, Only Better; Biology Is Mathematics' Next Physics, Only Better , Joel Cohen: [[http://www.plosbiology.org/article/info:doi/10.1371/journal.pbio.0020439]]
+  * Modeling Population Dynamics, lecture notes by Andre de Ross: [[http://staff.science.uva.nl/~aroos/downloads/pdf_readers/syllabus.pdf]]
+  * Single-species models for many-species food webs: [[http://www.nature.com/nature/journal/v417/n6888/full/417541a.html]]
 ==== History and epistemology ====
@@ Line 22: / Line 23: @@
 ==== Second-order ODEs====
-Differential equations used to described population dynamics are in general of first order. In the book [[http://books.google.com.br/books?id=9pZfyyRP0ccC&printsec=frontcover&hl=pt-BR&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false|Ecological Orbits]] [[http://life.bio.sunysb.edu/ee/ginzburglab|Lev Ginzburg]] and [[http://www.colyvan.com/|Mark Colyvan]] make a strong point that second-order equations bring out important insights on population dynamics. In a nutshell, they stress that acceleration should be modelled instead of velocities to fully understand how populations grow and decline.
+Differential equations used to described population dynamics are in general of first order. In the book [[http://books.google.com.br/books?id=9pZfyyRP0ccC&printsec=frontcover&hl=pt-BR&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false|Ecological Orbits]] [[http://life.bio.sunysb.edu/ee/ginzburglab|Lev Ginzburg]] and [[http://www.colyvan.com/|Mark Colyvan]] make a strong point that second-order equations bring out important insights on population dynamics. In a nutshell, they stress that acceleration should be modelled instead of velocities to fully understand how populations growth and decline.
 ==== Counting individuals ====
@@ Line 29: / Line 30: @@
 ==What is an individual?==
-As odd as it may sound, this is a difficult question for a huge proportion of organisms, hence defining birth and death is far from trivial. The two best known cases, not mutually exclusive are:
+As odd as it may sound, this is a difficult question for a huge proportion of organisms. Therefore defining birth and death is far from trivial. The two best known cases, not mutually exclusive are:
-  * Modular species, like corals and plants: [[http://www.gbv.de/dms/bs/toc/013555383.pdf|Population Biology and Evolution of clonal organisms]]
+  * Modular organisms, like corals and plants: [[http://www.gbv.de/dms/bs/toc/013555383.pdf|Population Biology and Evolution of clonal organisms]]
-  * Clonal species, like bacteria and protozoa: [[http://books.google.com.br/books/about/Sex_and_Death_in_Protozoa.html?id=0lCengzqXfsC&redir_esc=y| Sex and Death in Protozoa: the History of an Obsession]], by  [[http://biology.mcgill.ca/faculty/bell/|Graham Bell]].
+  * Clonal organisms, like bacteria and protozoa: [[http://books.google.com.br/books/about/Sex_and_Death_in_Protozoa.html?id=0lCengzqXfsC&redir_esc=y| Sex and Death in Protozoa: the History of an Obsession]], by  [[http://biology.mcgill.ca/faculty/bell/|Graham Bell]].
 ==What is the size a population?==