Stable Oxygen Isotopes & Paleoclimate Proxies | GEO GIRL

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  • čas přidán 8. 07. 2024
  • Stable oxygen isotopes- how oxygen isotope ratios can be tracked throughout different environmental systems and through geologic time due to predictable isotopic fractionation pathways to reconstruct Earth's history. Specifically, oxygen isotope basics, heavy versus light isotopes, oxygen 16, 17, and 18 relative abundances, isotope notation (permil notation), ocean and atmosphere temperature proxy, elevation proxy, paleoclimate / paleoenvironment proxy, carbonate fossils (foraminifera, mollusks, corals, sponges, coccolithophores), apatite (conodont, teeth fossils), ice cores, ice core climate / temperature reconstructions using oxygen, hydrogen, and carbon isotope composition, ice core bubbles, tree rings, leaf shapes, and more!
    References: Stable isotopes textbook: amzn.to/2YEPWot
    GEO GIRL Website: www.geogirlscience.com/ (visit my website to see all my courses, shop merch, learn more about me, and donate to support the channel if you'd like!)
    0:00 Quick Ologies shoutout!
    0:24 What I cover in this video
    0:34 some stable isotope basics
    3:14 illustration of H vs O isotopes
    3:53 How O isotopes behave in environment
    5:46 O isotopes and temperature
    7:08 O isotopes and elevation
    8:03 Why fossils help us use O isotopes
    10:02 O isotopes reconstruct ancient temperatures
    11:31 using Foram coil directions?
    12:37 other isotopes in fossils?
    13:05 isotopes growth bands in fossils?
    13:30 isotopes in paleosol nodules?
    14:14 isotopes in teeth?
    15:07 isotopes in algae?
    15:28 ice core isotopes?
    16:29 ice bubble isotopes?
    16:51 Amber and pollen isotopes?
    17:19 Isotopes in tree rings, leaf shape/composition, etc.
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    doi.org/10.1038/324137a0
    web.sahra.arizona.edu/programs...
    pennstate.pure.elsevier.com/e...
    • Oxygen Isotopes and th...
    doi.org/10.1038/nature06588
    uwpcc.ocean.washington.edu/fi...
    www.researchgate.net/figure/C...
    ucmp.berkeley.edu/fosrec/Olso...
    Image sources:
    present5.com/isotopes-atoms-o...
    hgsrocks.wordpress.com/2010/1...
    www.researchgate.net/figure/d...
    www.researchgate.net/figure/S...
    www.paleodirect.com/sp012-fos...
    wordsinmocean.com/2013/03/19/...
    fossillady.wordpress.com/tag/...
    foraminifera.eu/spines.html
    southernarrow.com/
    doi.org/10.1038/nature06588
    skepticalscience.com//print.p...
    www.fossilera.com/fossils/cre...
    www.geologyfortoday.com/fossil...
    www.researchgate.net/figure/C...
    scitechdaily.com/jawless-vert...
    www.fossilera.com/fossils/unu...
    canadianmuseumofnature.wordpr...
    / 494481234064702957
    blogs.esa.int/concordia/2016/...
    e-rocks.com/item/han786324/amber
    ckck.tumblr.com/post/54938128...
    www.fossilmuseum.net/Fossil_Ga...
    yossipels.typepad.com/.a/6a01...
    Disclaimer: Links in this description may be affiliate links. If you purchase a product with these links I may receive a small commission, but there is no additional charge to you! Thank you for supporting my channel!
  • Věda a technologie

Komentáře • 87

  • @alieward4142
    @alieward4142 Před 3 lety +7

    Aaaaah thank you so much for the Ologies shout out! Great video! Dadward approved. 👍

    • @GEOGIRL
      @GEOGIRL  Před 3 lety +5

      OMG!!! I can't believe you actually saw this! Thanks for commenting! I am so obsessed with Ologies! Thank you so much for everything you do for science, seriously! Keep Ologies going forever please!

    • @barbaradurfee645
      @barbaradurfee645 Před 3 lety +3

      @@GEOGIRL Mom Geo Girl approved!!

    • @bestfootballtv293
      @bestfootballtv293 Před 11 dny

      i have a carbonaceous meteorite i wanna do isotope oxygen ,how can i do that.

  • @stevengill1736
    @stevengill1736 Před 2 měsíci +2

    Gosh, I never thought of the fact that isotope concentrations are going to be parametrically pumped in various ways! Pretty cool!
    Now I see how simple physical processes can concentrate or rarify element isotopes in predictable ways, as you demonstrated with CaCO3 in lifeforms with variable oxygen isotope concentrations - bravo!
    Can't wait to watch the videos on strontium and sulfur, and the rest - thank you kindly!

  • @a.randomjack6661
    @a.randomjack6661 Před 2 lety +2

    I'm a year late, but left a 👍, Although, it deserves at least 5. I used to think black holes were fascinating... Paleoclimatology is mind blowing.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Agreed! Paleoclimatology is so cool :D

  • @MrMjamm
    @MrMjamm Před 2 lety +7

    Great video! I was looking for this sort of repetition of stuff I learned 15 years ago at the University. Thank you very much. Please continue! :)

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      Thanks so much for the comment, so glad you found it helpful :D will do ;)

  • @ABDULLAH-yr6xc
    @ABDULLAH-yr6xc Před 8 měsíci +2

    Easy to understand and the words you used in the video are now my notes😅

  • @robhumphreys7952
    @robhumphreys7952 Před rokem +2

    Absolutely fantastic . All your videos have just gripped me. Thanks Geo Girl.

    • @GEOGIRL
      @GEOGIRL  Před rokem

      Thanks for the comment and kind words! So glad you have been enjoying my videos! If there are ever any topics I haven't covered that you'd like me to discuss let me know! ;D

  • @jadefinchscene5644
    @jadefinchscene5644 Před 2 lety +5

    it is fantastic when a concept clicks into place and a level of understanding is increased. great explanation of fractionization and excellent choice of example using oxygen and ice. so many things suddenly make so much more sense.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      So glad you found it helpful! Thank you for the comment ;D

  • @robinleow185
    @robinleow185 Před rokem +2

    Super brilliant parting words! 🤓

  • @josiadam987
    @josiadam987 Před 2 lety +3

    Thank you so much!! I am taking the class prehistoric anthropology in university right now, you explain this stuff soooo good!

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      So glad you found this video helpful! Best of luck with your class, and let me know if you ever have topic suggestions for my future videos ;)

  • @DavidAmrod
    @DavidAmrod Před rokem +2

    A font of knowledge, you are! I have watched this video 3x, and I am still learning new things!!

    • @GEOGIRL
      @GEOGIRL  Před rokem +1

      Oh wow that is so good to hear considering this was one of my early (and not so well produced) videos haha, thank you so much! ;)

    • @DavidAmrod
      @DavidAmrod Před rokem +1

      @@GEOGIRL You are very welcome! It was excellent. Just because you have improved with time takes away none of the merit of this video. Smiles.

  • @PlayNowWorkLater
    @PlayNowWorkLater Před 9 měsíci +2

    I’m a big fan of science. I understand it, and can follow it. And even though Oxygen isotopes is not my main field of study I can still follow the logic. Where I’m going with this is that I have met lots of people who aren’t fans of science, or in the least aren’t patient enough to follow the logic you’re presenting here. And while climate deniers drive me crazy, I can at least empathize with not being presented something that is (for the lack of a better way of saying this), it needs to be “dumbed down” for certain audiences. I think it’s important for those who are able to explain it to differ audiences to take the reigns and do so. I think it was Einstein that said “If you can’t explain it to a 6 year old, then you don’t really understand yourself.” Probably paraphrasing a bit. Anyways I love the “Ask smart people, stupid questions” that you’re going with here, but I think it can be taken One step further. “Plant seeds that allow ideas to grow”. It’s how I teach. And this topic is one I think can be broken down. Made more entertaining or digestible for a wider audience. That said, I personally love what you present. And your channel. I just frustrated with the people who come across this, and are presented with an opportunity to learn, but swipe up and move on to something that is easier and probably less accurate.

    • @GEOGIRL
      @GEOGIRL  Před 9 měsíci +2

      I couldn't agree more! I actually made this video so long ago back when I thought my channel was only going to be watched by college students trying to pass an exam. Now I am (I think) much better at teaching to a broader audience. I still keep the information relatively advanced most times, but I think I am getting better at being more inclusive to lay audiences in my more recent videos. I agree that this is a super important aspect of good science communication and teaching. I will always continue to work on this moving forward. Thanks for sharing your thoughts! ;)

    • @PlayNowWorkLater
      @PlayNowWorkLater Před 9 měsíci +1

      @@GEOGIRL yes. Definitely you are reaching a wide audience. Obviously. You have a lot of followers. I didn’t think to look at this video age. Sorry, if I’m coming across as frustrated. I try to educate people on my own way. Though I’m new to it with the whole CZcams way. I just think isotopes are a great way to educate people about SOOOO much in science that is misunderstood. I’ve searched CZcams for accessible videos on isotopes with lots of views. Veritasium has one. But again, it doesn’t take what is learned and bring it that extra step.
      I’m thinking RadioCarbon dating and Oxygen isotopes analysis with climate change. Two pretty big topics that there is a lot of ignorance on. Climate deniers. And age of the earth deniers. Anyways, appreciate your ear. And thanks for doing what you do.

  • @caspasesumo
    @caspasesumo Před 2 lety +1

    Thank you :) Outstanding and highly informative presentation - as usual.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      Thanks! So glad you found it helpful :)

  • @mab963
    @mab963 Před 3 lety +1

    I just discovered your channel and it is awesome! Hope you continue with many more cool videos!

    • @GEOGIRL
      @GEOGIRL  Před 3 lety +1

      Thanks so much! I am glad you find it helpful! Will do😊

  • @laurenmuller200
    @laurenmuller200 Před 3 lety +1

    Thank you, very helpful.

    • @GEOGIRL
      @GEOGIRL  Před 3 lety

      Of course! So glad you found it helpful! :)

  • @leonderprofi420
    @leonderprofi420 Před 3 lety +4

    I just discovered this channel and i really like it.
    Great explanations and you provide sources! :D
    I think it could improve the video structure by putting the bonus information at the end a seperate video and maybe try to make less cuts.

    • @GEOGIRL
      @GEOGIRL  Před 3 lety +1

      I am glad you find it helpful! Also, thanks so much for the suggestions! I started out making lectures for my students and was very new to this whole making and editing videos thing. I think my more recent videos are getting better, but I still have a lot to learn, so I appreciate the input :)

  • @CleberAssisUFPA
    @CleberAssisUFPA Před 2 lety +1

    Muito bom!

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Thank you, glad you enjoyed it! :D

  • @bencydavid6089
    @bencydavid6089 Před 2 lety +2

    Thank you so much for the explanation, would love to see more videos on stable isotopes with tree ring proxy.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Thanks for the topic suggestion! I plan to do many more stable isotope videos, so stay tuned! And I will work on another tree ring video too if you'd be interested in that :)

    • @bencydavid6089
      @bencydavid6089 Před 2 lety +1

      @@GEOGIRL thank you:)

  • @ameydatye102
    @ameydatye102 Před 3 lety +1

    grt video...keep it up

    • @GEOGIRL
      @GEOGIRL  Před 3 lety

      Thanks! Glad you enjoyed it :)

  • @kira_draws_and_digs
    @kira_draws_and_digs Před 6 měsíci +2

    Thanks for video! Can you spell what kind of podcast you were talking about in the beginning? I can't get it.

    • @GEOGIRL
      @GEOGIRL  Před 6 měsíci +1

      Sure, it is the Ologies podcast! It is hosted by Alie Ward, and she does amazing, I highly recommend ;D

  • @ronaldterieng9061
    @ronaldterieng9061 Před 2 lety +1

    Great video...thank you 👍

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Of course, glad you enjoyed it! ;)

    • @ronaldterieng9061
      @ronaldterieng9061 Před 2 lety +1

      Can I get the ∆18O diagram that you used in your presentation? Would you mind sharing the link?

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      @@ronaldterieng9061 Sure, here is the paper with the graph that goes all the way back to 60 million years ago: doi.org/10.1038/nature06588

    • @ronaldterieng9061
      @ronaldterieng9061 Před 2 lety +1

      Thank you so much 🥰

  • @robertpierce1981
    @robertpierce1981 Před rokem +1

    I came here after watching “History of the Earth “ video talking about ancient earth and heavy oxygen. How do different forms of oxygen exist and what creates them? Would a heavy oxygen atmosphere support life?

    • @GEOGIRL
      @GEOGIRL  Před rokem +1

      What a great question! For stable isotopes, technically nothing on Earth creates or destroys them. There was a set ratio of light and heavy stable oxygen isotopes in the supernova that our solar system formed from and since then these isotopes have been cycling through processes on Earth and becoming fractionated in ways I discussed in this video, but they are not becoming created or destroyed: when the ratio of heavy to light oxygen goes up in one oxygen reservoir it goes down in another because the entire heavy to light ratio of Earth's oxygen remains constant. That's why when we discuss oxygen isotope ratios of the past, we must define where the ratio came from (rainwater = atmospheric reservoir, marine carbonate material = ocean reservoir; when the atmospheric reservoir ratio increases the oceanic one decreases and vice versa-- there are other smaller reservoirs that might affect this, but this is the general trend).
      I do want to clarify, however, that I am only talking about STABLE isotopes here, RADIOACTIVE isotopes do decay (become destroyed) and RADIOGENIC isotopes (their decay products) do technically become 'created' but I talk about radioactive isotopes in other videos, here is a general overview if you're interested:
      As for the second question, yes, there is a set percentage of heavy oxygen in our atmosphere right now (yes it is a small percentage, but it is there), and humans and other animals don't typically discriminate between oxygen isotopes when respiring. So, I don't think it matters to life whether the atmospheric O2 is made of light or heavy oxygen isotopes or any mixture in between. :)

    • @robertpierce1981
      @robertpierce1981 Před rokem +1

      @@GEOGIRL thank you very much.

  • @samuelkeller4745
    @samuelkeller4745 Před 3 lety +1

    Thanks, I was going to ask how water temperature affects carbonate producing organisms but then you went and answered it! Will you be doing a video at all on the use of Barium as a proxy?

    • @GEOGIRL
      @GEOGIRL  Před 3 lety +1

      Glad it was helpful! I hadn't thought about Barium, but it sounds super cool so I will definitely try to make one!

    • @samuelkeller4745
      @samuelkeller4745 Před 3 lety +1

      @@GEOGIRL www.sciencedirect.com/science/article/abs/pii/S0016703717300571

  • @noitalfed
    @noitalfed Před rokem +1

    Your reference text appears to be graduate level and almost $400! Any more introductory suggestions at a more reasonable price for non -professionals?

  • @smileydaisy-qt3md
    @smileydaisy-qt3md Před rokem +2

    Thank you so much! I have an exam coming up and I didn’t want to miss out on this topic. May i ask you what your PhD is in ? I m currently in the last year of my bachelors and i m really excited about palaeontology and palaeoclimatology.

    • @GEOGIRL
      @GEOGIRL  Před rokem +1

      Mine is focused on paleoceanography & paleoclimatology! Specifically, I work on refining our understanding of how trace metals get preserved in the rock record so we can use them to reconstruct ancient oceanic/climatic conditions, like ocean pH, oxygen content, primary productivity (photosynthetic) rates, temperature, and more! :) It is the coolest thing ever! I think you'll love it :D Do you have any ideas of where you want to study for grad school?

  • @DevendraSingh-uy5ws
    @DevendraSingh-uy5ws Před 3 lety +1

    Maam I have aquestion ..
    the del O-18 of forameniferal carbonate in a plistocene core changes from 2 0/00 at the bottom to -1 0/00 at the top .what sholud be the reason for this ?

    • @GEOGIRL
      @GEOGIRL  Před 3 lety

      Are those values VPDB or VSMOW?

    • @DevendraSingh-uy5ws
      @DevendraSingh-uy5ws Před 3 lety

      @@GEOGIRL VSMOW

    • @GEOGIRL
      @GEOGIRL  Před 3 lety

      ​@@DevendraSingh-uy5ws Well it would indicate that the O isotope values are going from heavier to lighter values in that time range, but the reason may depend on how long a time range you are looking at. Because say you are only looking at a year, then these changes could be due to regular seasonal temperature fluctuations. However, if you are looking at the entire Pleistocene for example, and you see that the average goes down by about 3 permil through that time range, that could be due to a climatic shift from cooler to warmer climates. This would make sense because we were coming out of the LGM at the end of the Pleistocene. And throughout the entire period, there were major glacial-interglacial cycles that would've causes such climatic shifts. See my Holocene video for more on these Pleistocene glacial periods :) czcams.com/video/-YGD4VcnKEQ/video.html

    • @DevendraSingh-uy5ws
      @DevendraSingh-uy5ws Před 2 lety

      @@GEOGIRL thank you, Ma'am, it's really helpful.

  • @lemmerelassal2795
    @lemmerelassal2795 Před 7 měsíci

    Hi Geo Girl, how do you figure out the half life of C14? Where is a reproducible method to validate the half life of 5730 +- 40 years?

  • @KerriEverlasting
    @KerriEverlasting Před rokem +2

    I really don't get isotopes. I guess it's because I don't know chemistry. All those random numbers and circles seem to make zero sense in my brain. Grr. Do you have a video that would be good to watch with atom background type stuff so I can understand this better?

    • @GEOGIRL
      @GEOGIRL  Před rokem +2

      No, it's my fault Kerri, I made my isotope videos a long time ago, before I got better at explaining things from the beginning. I believe I have a very old video that has a brief slide on what elements are vs isotopes and ions: czcams.com/video/VKg1H3qTRIM/video.html, but I hope to actually post another soon giving some background on isotopes because I really never have. Maybe something like "What are isotopes and how are they used in geology?"

  • @user-wt7ik3gy3o
    @user-wt7ik3gy3o Před 7 měsíci +2

    Tank you so much for helpful video!I'm ekogeochemistrst! I'm interested in heavy metalls . Can you help me

  • @wajdiallagui6057
    @wajdiallagui6057 Před 2 lety +1

    Are u sure about that I m already do my PhD in the carbon Isotope then the oxygen but I think there is other formations between them

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Hi there, not sure what you mean, or what question you are trying to ask. I want to help, do you mind reworded the question and asking again? Thanks! ;)

  • @junusavior65
    @junusavior65 Před 2 lety +1

    How accurate is the oxygen proxy in determining actual temperature? I understand that a change in oxygen isotope ratios might indicate a change in temperature, but how would you know the actual temperature it represents?

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      Oh wow! That's not a question I can answer in a comment haha. It basically depends on A LOT of factors. For example, you have to take into account the material you are obtaining the ratio from (calcite, aragonite, water, etc.), the age of the sample, the location and depositional environment of the sample, what kind of organism if it is a fossil, the latitude of the sample at the time of formation as well as during its preservation, whether it represents marine or freshwater (atmospheric) oxygen source, the method you are using to obtain the oxygen isotope ratios, and I am sure I am missing some things, but these are the factors I remember having to be aware of when I was doing oxygen isotopes research. The good thing is, once you figure out these things, you just need to figure out how to express them mathematically and apply them to your raw oxygen isotope ratio data to obtain 'corrected' values that reflect all of this knowledge. Then once you have corrected values, you can see how much your data fluctuates and in what direction it fluctuates to get an idea of the temperature trend during the time your samples were deposited. OR you can try to get absolute temperature estimates by using modern correlations & models of oxygen isotope ratios with temperature values, but this may be less accurate and less useful than the relative (fluctuation) observations. Sorry it is kinda complicated, I hope this makes at least a little sense. (Also, if anyone is out there and does more oxygen isotope work than I do, please feel free to chime in if I missed anything or got something wrong, I am not expert, thanks!) :)

    • @junusavior65
      @junusavior65 Před 2 lety +1

      @@GEOGIRL Thanks for the quick response! So the oxygen isotope proxy is really just used to determine fluctuation of temperature, not actual temperature. I have been pondering a lot recently on how we determine the actual temperature from thousands and millions of years ago. I have struggled on my search just using the internet alone. Is there a proxy we use that can tell us actual temperature? Or are all proxies just backdating temperature fluctuations from our current temperature readings? If you have a video on this forgive me, I have had trouble finding answers on these questions just searching on my own. If you don't know, would you be able to point me in the right direction? Again, thank you for any help.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety +1

      ​@@junusavior65 Well I think it's not that oxygen isotopes can't be used to determine actual temperature in the past, it is just we most often do so by using multiple proxies just to double check our results, if that makes sense. For example, for marine environments that preserve fossils, we often reconstruct ancient temperature by using oxygen isotopes in conjunction with the types of marine fossils that are present in the same sediment. This can be very useful if the specific species can be identified (for example, microfossils like ostracods and foraminifera, or even macrofossils, like corals and certain types of mollusks, have very specific temperatures that they can tolerate), so with the species identified (or even genus or order) we can narrow down the temperature range quite a bit. We can also tell whether the sediment reflects that animals living environment because we know which species were benthic (lived on the sediment rather than in the water column) and we know that if they are preserved that the sediment hasn't gone through transport or diagenesis because carbonate fossils cannot withstand that very well. But fossils are just one more example, there are many other chemical and physical proxies we can use together we oxygen isotopes or even alone that reconstruct temperatures. With the use of all these proxies by different scientists on sediment around the globe, we have been able to reconstruct a pretty accurate picture of past temperatures by cross checking them with each other and the more they match the more robust our estimates become. I would say that going back until around 65 million years ago our estimates are very accurate and precise, then from 65 to 500 Ma, still pretty accurate but less precise, then before 500 Ma, accurate, but not very precise because we don't have many rocks that old to measure the chemistry of. Hope that all makes sense, if you want to see some examples of how we use many different proxies in conjunction to paint a picture of a past event, I would suggest watching either my GOE video (czcams.com/video/LK6X3EGEdOY/video.html) or snowball earth video (czcams.com/video/MzYy9bEZnbw/video.html), both discuss events that happened over 500 million years ago, but with the many lines of evidence in the rock record, we can paint a pretty accurate picture :)

    • @junusavior65
      @junusavior65 Před 2 lety +1

      @@GEOGIRL Ok, I think I get it. So we calculate temperature from each proxy and then determine it's accuracy by comparing it to the temperatures we get from all of the other proxies together? Which in the end allows us to narrow the actual temperature range down as much as possible too? I apologize if that is basically what you said, it just helps me to summarize in my own words.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      @@junusavior65 Yes! You actually said it better than I did haha. But again, I want to stress that this is my understanding of how these proxies are used. I could very well be a bit off and it is best to check some recent publications before you trust me fully haha! ;)

  • @pratyushkumar4439
    @pratyushkumar4439 Před 2 lety +1

    Plz.....ma'am give me any source upon marine isotope stage which will helpful for my seminar

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      Sorry I am not sure what you mean by marine isotope stage? Could you specify? I would like to help ;)

  • @agus2074
    @agus2074 Před 2 lety +2

    Pintar..

  • @vislagama
    @vislagama Před rokem +1

    i dont think angels are in the haven some of them are in the earth too

  • @jeremytaylor9514
    @jeremytaylor9514 Před 2 lety +1

    Podcast ologies

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      Yes! do you listen to it too? :D

  • @mohsenalshagdari1686
    @mohsenalshagdari1686 Před 3 lety +1

    great, i will invite all friend in telegram channel here

    • @GEOGIRL
      @GEOGIRL  Před 3 lety

      Thank you! Glad you liked it ;D

  • @johnnysystem2579
    @johnnysystem2579 Před 2 lety +1

    Never make a time graph go to the left. They are simply to difficult to visualize. What your explaining is straightforward but then you complicate it with a badly made graph.

    • @GEOGIRL
      @GEOGIRL  Před 2 lety

      I know, I didn't like that about the graph either, but I couldn't find one that went the other way. I will look harder for a different one next time. Thanks for the input!

    • @johnnysystem2579
      @johnnysystem2579 Před 2 lety +1

      @@GEOGIRL Thank you for responding. I wonder why some do this. The way we visualize data should be consistent but many graphs are not, Either way you cover the subjects well and you are easy to follow.